housing-price-prediction-with-ridge-and-lasso-regularisation.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Steps to follow\n",
    "1. Reading, understanding and visualising the data.\n",
    "2. Preparing the data for modeling (train-test split, rescalling etc)\n",
    "3. Building the model\n",
    "    - Training the model\n",
    "    - Testing the model\n",
    "4. Predictions and evaluation on the test set"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 610,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Importing pandas, numpy and plotting libraries\n",
    "import pandas as pd\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sns\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 611,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Suppress warnings\n",
    "import warnings\n",
    "warnings.filterwarnings('ignore')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 612,
   "metadata": {},
   "outputs": [],
   "source": [
    "pd.set_option('display.max_columns', None)\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Step 1:- Reading and understanding the data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 613,
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Id</th>\n",
       "      <th>MSSubClass</th>\n",
       "      <th>MSZoning</th>\n",
       "      <th>LotFrontage</th>\n",
       "      <th>LotArea</th>\n",
       "      <th>Street</th>\n",
       "      <th>Alley</th>\n",
       "      <th>LotShape</th>\n",
       "      <th>LandContour</th>\n",
       "      <th>Utilities</th>\n",
       "      <th>LotConfig</th>\n",
       "      <th>LandSlope</th>\n",
       "      <th>Neighborhood</th>\n",
       "      <th>Condition1</th>\n",
       "      <th>Condition2</th>\n",
       "      <th>BldgType</th>\n",
       "      <th>HouseStyle</th>\n",
       "      <th>OverallQual</th>\n",
       "      <th>OverallCond</th>\n",
       "      <th>YearBuilt</th>\n",
       "      <th>YearRemodAdd</th>\n",
       "      <th>RoofStyle</th>\n",
       "      <th>RoofMatl</th>\n",
       "      <th>Exterior1st</th>\n",
       "      <th>Exterior2nd</th>\n",
       "      <th>MasVnrType</th>\n",
       "      <th>MasVnrArea</th>\n",
       "      <th>ExterQual</th>\n",
       "      <th>ExterCond</th>\n",
       "      <th>Foundation</th>\n",
       "      <th>BsmtQual</th>\n",
       "      <th>BsmtCond</th>\n",
       "      <th>BsmtExposure</th>\n",
       "      <th>BsmtFinType1</th>\n",
       "      <th>BsmtFinSF1</th>\n",
       "      <th>BsmtFinType2</th>\n",
       "      <th>BsmtFinSF2</th>\n",
       "      <th>BsmtUnfSF</th>\n",
       "      <th>TotalBsmtSF</th>\n",
       "      <th>Heating</th>\n",
       "      <th>HeatingQC</th>\n",
       "      <th>CentralAir</th>\n",
       "      <th>Electrical</th>\n",
       "      <th>1stFlrSF</th>\n",
       "      <th>2ndFlrSF</th>\n",
       "      <th>LowQualFinSF</th>\n",
       "      <th>GrLivArea</th>\n",
       "      <th>BsmtFullBath</th>\n",
       "      <th>BsmtHalfBath</th>\n",
       "      <th>FullBath</th>\n",
       "      <th>HalfBath</th>\n",
       "      <th>BedroomAbvGr</th>\n",
       "      <th>KitchenAbvGr</th>\n",
       "      <th>KitchenQual</th>\n",
       "      <th>TotRmsAbvGrd</th>\n",
       "      <th>Functional</th>\n",
       "      <th>Fireplaces</th>\n",
       "      <th>FireplaceQu</th>\n",
       "      <th>GarageType</th>\n",
       "      <th>GarageYrBlt</th>\n",
       "      <th>GarageFinish</th>\n",
       "      <th>GarageCars</th>\n",
       "      <th>GarageArea</th>\n",
       "      <th>GarageQual</th>\n",
       "      <th>GarageCond</th>\n",
       "      <th>PavedDrive</th>\n",
       "      <th>WoodDeckSF</th>\n",
       "      <th>OpenPorchSF</th>\n",
       "      <th>EnclosedPorch</th>\n",
       "      <th>3SsnPorch</th>\n",
       "      <th>ScreenPorch</th>\n",
       "      <th>PoolArea</th>\n",
       "      <th>PoolQC</th>\n",
       "      <th>Fence</th>\n",
       "      <th>MiscFeature</th>\n",
       "      <th>MiscVal</th>\n",
       "      <th>MoSold</th>\n",
       "      <th>YrSold</th>\n",
       "      <th>SaleType</th>\n",
       "      <th>SaleCondition</th>\n",
       "      <th>SalePrice</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>1</td>\n",
       "      <td>60</td>\n",
       "      <td>RL</td>\n",
       "      <td>65.0</td>\n",
       "      <td>8450</td>\n",
       "      <td>Pave</td>\n",
       "      <td>NaN</td>\n",
       "      <td>Reg</td>\n",
       "      <td>Lvl</td>\n",
       "      <td>AllPub</td>\n",
       "      <td>Inside</td>\n",
       "      <td>Gtl</td>\n",
       "      <td>CollgCr</td>\n",
       "      <td>Norm</td>\n",
       "      <td>Norm</td>\n",
       "      <td>1Fam</td>\n",
       "      <td>2Story</td>\n",
       "      <td>7</td>\n",
       "      <td>5</td>\n",
       "      <td>2003</td>\n",
       "      <td>2003</td>\n",
       "      <td>Gable</td>\n",
       "      <td>CompShg</td>\n",
       "      <td>VinylSd</td>\n",
       "      <td>VinylSd</td>\n",
       "      <td>BrkFace</td>\n",
       "      <td>196.0</td>\n",
       "      <td>Gd</td>\n",
       "      <td>TA</td>\n",
       "      <td>PConc</td>\n",
       "      <td>Gd</td>\n",
       "      <td>TA</td>\n",
       "      <td>No</td>\n",
       "      <td>GLQ</td>\n",
       "      <td>706</td>\n",
       "      <td>Unf</td>\n",
       "      <td>0</td>\n",
       "      <td>150</td>\n",
       "      <td>856</td>\n",
       "      <td>GasA</td>\n",
       "      <td>Ex</td>\n",
       "      <td>Y</td>\n",
       "      <td>SBrkr</td>\n",
       "      <td>856</td>\n",
       "      <td>854</td>\n",
       "      <td>0</td>\n",
       "      <td>1710</td>\n",
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       "      <td>1</td>\n",
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       "      <td>0</td>\n",
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       "      <td>2008</td>\n",
       "      <td>WD</td>\n",
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       "    <tr>\n",
       "      <th>1</th>\n",
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       "      <td>1Fam</td>\n",
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       "      <td>6</td>\n",
       "      <td>8</td>\n",
       "      <td>1976</td>\n",
       "      <td>1976</td>\n",
       "      <td>Gable</td>\n",
       "      <td>CompShg</td>\n",
       "      <td>MetalSd</td>\n",
       "      <td>MetalSd</td>\n",
       "      <td>None</td>\n",
       "      <td>0.0</td>\n",
       "      <td>TA</td>\n",
       "      <td>TA</td>\n",
       "      <td>CBlock</td>\n",
       "      <td>Gd</td>\n",
       "      <td>TA</td>\n",
       "      <td>Gd</td>\n",
       "      <td>ALQ</td>\n",
       "      <td>978</td>\n",
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       "      <td>1262</td>\n",
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       "      <td>Y</td>\n",
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       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
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       "      <td>5</td>\n",
       "      <td>2007</td>\n",
       "      <td>WD</td>\n",
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       "      <td>181500</td>\n",
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       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>3</td>\n",
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       "      <td>Inside</td>\n",
       "      <td>Gtl</td>\n",
       "      <td>CollgCr</td>\n",
       "      <td>Norm</td>\n",
       "      <td>Norm</td>\n",
       "      <td>1Fam</td>\n",
       "      <td>2Story</td>\n",
       "      <td>7</td>\n",
       "      <td>5</td>\n",
       "      <td>2001</td>\n",
       "      <td>2002</td>\n",
       "      <td>Gable</td>\n",
       "      <td>CompShg</td>\n",
       "      <td>VinylSd</td>\n",
       "      <td>VinylSd</td>\n",
       "      <td>BrkFace</td>\n",
       "      <td>162.0</td>\n",
       "      <td>Gd</td>\n",
       "      <td>TA</td>\n",
       "      <td>PConc</td>\n",
       "      <td>Gd</td>\n",
       "      <td>TA</td>\n",
       "      <td>Mn</td>\n",
       "      <td>GLQ</td>\n",
       "      <td>486</td>\n",
       "      <td>Unf</td>\n",
       "      <td>0</td>\n",
       "      <td>434</td>\n",
       "      <td>920</td>\n",
       "      <td>GasA</td>\n",
       "      <td>Ex</td>\n",
       "      <td>Y</td>\n",
       "      <td>SBrkr</td>\n",
       "      <td>920</td>\n",
       "      <td>866</td>\n",
       "      <td>0</td>\n",
       "      <td>1786</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "      <td>3</td>\n",
       "      <td>1</td>\n",
       "      <td>Gd</td>\n",
       "      <td>6</td>\n",
       "      <td>Typ</td>\n",
       "      <td>1</td>\n",
       "      <td>TA</td>\n",
       "      <td>Attchd</td>\n",
       "      <td>2001.0</td>\n",
       "      <td>RFn</td>\n",
       "      <td>2</td>\n",
       "      <td>608</td>\n",
       "      <td>TA</td>\n",
       "      <td>TA</td>\n",
       "      <td>Y</td>\n",
       "      <td>0</td>\n",
       "      <td>42</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
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       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0</td>\n",
       "      <td>9</td>\n",
       "      <td>2008</td>\n",
       "      <td>WD</td>\n",
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       "    <tr>\n",
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       "      <td>Corner</td>\n",
       "      <td>Gtl</td>\n",
       "      <td>Crawfor</td>\n",
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       "      <td>Norm</td>\n",
       "      <td>1Fam</td>\n",
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       "      <td>7</td>\n",
       "      <td>5</td>\n",
       "      <td>1915</td>\n",
       "      <td>1970</td>\n",
       "      <td>Gable</td>\n",
       "      <td>CompShg</td>\n",
       "      <td>Wd Sdng</td>\n",
       "      <td>Wd Shng</td>\n",
       "      <td>None</td>\n",
       "      <td>0.0</td>\n",
       "      <td>TA</td>\n",
       "      <td>TA</td>\n",
       "      <td>BrkTil</td>\n",
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       "      <td>Unf</td>\n",
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       "      <td>GasA</td>\n",
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       "      <td>Y</td>\n",
       "      <td>SBrkr</td>\n",
       "      <td>961</td>\n",
       "      <td>756</td>\n",
       "      <td>0</td>\n",
       "      <td>1717</td>\n",
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       "      <td>3</td>\n",
       "      <td>1</td>\n",
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       "      <td>7</td>\n",
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       "      <td>1</td>\n",
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       "      <td>Detchd</td>\n",
       "      <td>1998.0</td>\n",
       "      <td>Unf</td>\n",
       "      <td>3</td>\n",
       "      <td>642</td>\n",
       "      <td>TA</td>\n",
       "      <td>TA</td>\n",
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       "      <td>0</td>\n",
       "      <td>35</td>\n",
       "      <td>272</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
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       "      <td>NaN</td>\n",
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       "      <td>2</td>\n",
       "      <td>2006</td>\n",
       "      <td>WD</td>\n",
       "      <td>Abnorml</td>\n",
       "      <td>140000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>5</td>\n",
       "      <td>60</td>\n",
       "      <td>RL</td>\n",
       "      <td>84.0</td>\n",
       "      <td>14260</td>\n",
       "      <td>Pave</td>\n",
       "      <td>NaN</td>\n",
       "      <td>IR1</td>\n",
       "      <td>Lvl</td>\n",
       "      <td>AllPub</td>\n",
       "      <td>FR2</td>\n",
       "      <td>Gtl</td>\n",
       "      <td>NoRidge</td>\n",
       "      <td>Norm</td>\n",
       "      <td>Norm</td>\n",
       "      <td>1Fam</td>\n",
       "      <td>2Story</td>\n",
       "      <td>8</td>\n",
       "      <td>5</td>\n",
       "      <td>2000</td>\n",
       "      <td>2000</td>\n",
       "      <td>Gable</td>\n",
       "      <td>CompShg</td>\n",
       "      <td>VinylSd</td>\n",
       "      <td>VinylSd</td>\n",
       "      <td>BrkFace</td>\n",
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       "      <td>Gd</td>\n",
       "      <td>TA</td>\n",
       "      <td>PConc</td>\n",
       "      <td>Gd</td>\n",
       "      <td>TA</td>\n",
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       "      <td>GasA</td>\n",
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       "      <td>SBrkr</td>\n",
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       "      <td>1</td>\n",
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       "      <td>TA</td>\n",
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       "      <td>0</td>\n",
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       "      <td>2008</td>\n",
       "      <td>WD</td>\n",
       "      <td>Normal</td>\n",
       "      <td>250000</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   Id  MSSubClass MSZoning  LotFrontage  LotArea Street Alley LotShape  \\\n",
       "0   1          60       RL         65.0     8450   Pave   NaN      Reg   \n",
       "1   2          20       RL         80.0     9600   Pave   NaN      Reg   \n",
       "2   3          60       RL         68.0    11250   Pave   NaN      IR1   \n",
       "3   4          70       RL         60.0     9550   Pave   NaN      IR1   \n",
       "4   5          60       RL         84.0    14260   Pave   NaN      IR1   \n",
       "\n",
       "  LandContour Utilities LotConfig LandSlope Neighborhood Condition1  \\\n",
       "0         Lvl    AllPub    Inside       Gtl      CollgCr       Norm   \n",
       "1         Lvl    AllPub       FR2       Gtl      Veenker      Feedr   \n",
       "2         Lvl    AllPub    Inside       Gtl      CollgCr       Norm   \n",
       "3         Lvl    AllPub    Corner       Gtl      Crawfor       Norm   \n",
       "4         Lvl    AllPub       FR2       Gtl      NoRidge       Norm   \n",
       "\n",
       "  Condition2 BldgType HouseStyle  OverallQual  OverallCond  YearBuilt  \\\n",
       "0       Norm     1Fam     2Story            7            5       2003   \n",
       "1       Norm     1Fam     1Story            6            8       1976   \n",
       "2       Norm     1Fam     2Story            7            5       2001   \n",
       "3       Norm     1Fam     2Story            7            5       1915   \n",
       "4       Norm     1Fam     2Story            8            5       2000   \n",
       "\n",
       "   YearRemodAdd RoofStyle RoofMatl Exterior1st Exterior2nd MasVnrType  \\\n",
       "0          2003     Gable  CompShg     VinylSd     VinylSd    BrkFace   \n",
       "1          1976     Gable  CompShg     MetalSd     MetalSd       None   \n",
       "2          2002     Gable  CompShg     VinylSd     VinylSd    BrkFace   \n",
       "3          1970     Gable  CompShg     Wd Sdng     Wd Shng       None   \n",
       "4          2000     Gable  CompShg     VinylSd     VinylSd    BrkFace   \n",
       "\n",
       "   MasVnrArea ExterQual ExterCond Foundation BsmtQual BsmtCond BsmtExposure  \\\n",
       "0       196.0        Gd        TA      PConc       Gd       TA           No   \n",
       "1         0.0        TA        TA     CBlock       Gd       TA           Gd   \n",
       "2       162.0        Gd        TA      PConc       Gd       TA           Mn   \n",
       "3         0.0        TA        TA     BrkTil       TA       Gd           No   \n",
       "4       350.0        Gd        TA      PConc       Gd       TA           Av   \n",
       "\n",
       "  BsmtFinType1  BsmtFinSF1 BsmtFinType2  BsmtFinSF2  BsmtUnfSF  TotalBsmtSF  \\\n",
       "0          GLQ         706          Unf           0        150          856   \n",
       "1          ALQ         978          Unf           0        284         1262   \n",
       "2          GLQ         486          Unf           0        434          920   \n",
       "3          ALQ         216          Unf           0        540          756   \n",
       "4          GLQ         655          Unf           0        490         1145   \n",
       "\n",
       "  Heating HeatingQC CentralAir Electrical  1stFlrSF  2ndFlrSF  LowQualFinSF  \\\n",
       "0    GasA        Ex          Y      SBrkr       856       854             0   \n",
       "1    GasA        Ex          Y      SBrkr      1262         0             0   \n",
       "2    GasA        Ex          Y      SBrkr       920       866             0   \n",
       "3    GasA        Gd          Y      SBrkr       961       756             0   \n",
       "4    GasA        Ex          Y      SBrkr      1145      1053             0   \n",
       "\n",
       "   GrLivArea  BsmtFullBath  BsmtHalfBath  FullBath  HalfBath  BedroomAbvGr  \\\n",
       "0       1710             1             0         2         1             3   \n",
       "1       1262             0             1         2         0             3   \n",
       "2       1786             1             0         2         1             3   \n",
       "3       1717             1             0         1         0             3   \n",
       "4       2198             1             0         2         1             4   \n",
       "\n",
       "   KitchenAbvGr KitchenQual  TotRmsAbvGrd Functional  Fireplaces FireplaceQu  \\\n",
       "0             1          Gd             8        Typ           0         NaN   \n",
       "1             1          TA             6        Typ           1          TA   \n",
       "2             1          Gd             6        Typ           1          TA   \n",
       "3             1          Gd             7        Typ           1          Gd   \n",
       "4             1          Gd             9        Typ           1          TA   \n",
       "\n",
       "  GarageType  GarageYrBlt GarageFinish  GarageCars  GarageArea GarageQual  \\\n",
       "0     Attchd       2003.0          RFn           2         548         TA   \n",
       "1     Attchd       1976.0          RFn           2         460         TA   \n",
       "2     Attchd       2001.0          RFn           2         608         TA   \n",
       "3     Detchd       1998.0          Unf           3         642         TA   \n",
       "4     Attchd       2000.0          RFn           3         836         TA   \n",
       "\n",
       "  GarageCond PavedDrive  WoodDeckSF  OpenPorchSF  EnclosedPorch  3SsnPorch  \\\n",
       "0         TA          Y           0           61              0          0   \n",
       "1         TA          Y         298            0              0          0   \n",
       "2         TA          Y           0           42              0          0   \n",
       "3         TA          Y           0           35            272          0   \n",
       "4         TA          Y         192           84              0          0   \n",
       "\n",
       "   ScreenPorch  PoolArea PoolQC Fence MiscFeature  MiscVal  MoSold  YrSold  \\\n",
       "0            0         0    NaN   NaN         NaN        0       2    2008   \n",
       "1            0         0    NaN   NaN         NaN        0       5    2007   \n",
       "2            0         0    NaN   NaN         NaN        0       9    2008   \n",
       "3            0         0    NaN   NaN         NaN        0       2    2006   \n",
       "4            0         0    NaN   NaN         NaN        0      12    2008   \n",
       "\n",
       "  SaleType SaleCondition  SalePrice  \n",
       "0       WD        Normal     208500  \n",
       "1       WD        Normal     181500  \n",
       "2       WD        Normal     223500  \n",
       "3       WD       Abnorml     140000  \n",
       "4       WD        Normal     250000  "
      ]
     },
     "execution_count": 613,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Read the data\n",
    "df = pd.read_csv('train.csv')\n",
    "df.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 614,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(1460, 81)"
      ]
     },
     "execution_count": 614,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 615,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "<class 'pandas.core.frame.DataFrame'>\n",
      "RangeIndex: 1460 entries, 0 to 1459\n",
      "Data columns (total 81 columns):\n",
      "Id               1460 non-null int64\n",
      "MSSubClass       1460 non-null int64\n",
      "MSZoning         1460 non-null object\n",
      "LotFrontage      1201 non-null float64\n",
      "LotArea          1460 non-null int64\n",
      "Street           1460 non-null object\n",
      "Alley            91 non-null object\n",
      "LotShape         1460 non-null object\n",
      "LandContour      1460 non-null object\n",
      "Utilities        1460 non-null object\n",
      "LotConfig        1460 non-null object\n",
      "LandSlope        1460 non-null object\n",
      "Neighborhood     1460 non-null object\n",
      "Condition1       1460 non-null object\n",
      "Condition2       1460 non-null object\n",
      "BldgType         1460 non-null object\n",
      "HouseStyle       1460 non-null object\n",
      "OverallQual      1460 non-null int64\n",
      "OverallCond      1460 non-null int64\n",
      "YearBuilt        1460 non-null int64\n",
      "YearRemodAdd     1460 non-null int64\n",
      "RoofStyle        1460 non-null object\n",
      "RoofMatl         1460 non-null object\n",
      "Exterior1st      1460 non-null object\n",
      "Exterior2nd      1460 non-null object\n",
      "MasVnrType       1452 non-null object\n",
      "MasVnrArea       1452 non-null float64\n",
      "ExterQual        1460 non-null object\n",
      "ExterCond        1460 non-null object\n",
      "Foundation       1460 non-null object\n",
      "BsmtQual         1423 non-null object\n",
      "BsmtCond         1423 non-null object\n",
      "BsmtExposure     1422 non-null object\n",
      "BsmtFinType1     1423 non-null object\n",
      "BsmtFinSF1       1460 non-null int64\n",
      "BsmtFinType2     1422 non-null object\n",
      "BsmtFinSF2       1460 non-null int64\n",
      "BsmtUnfSF        1460 non-null int64\n",
      "TotalBsmtSF      1460 non-null int64\n",
      "Heating          1460 non-null object\n",
      "HeatingQC        1460 non-null object\n",
      "CentralAir       1460 non-null object\n",
      "Electrical       1459 non-null object\n",
      "1stFlrSF         1460 non-null int64\n",
      "2ndFlrSF         1460 non-null int64\n",
      "LowQualFinSF     1460 non-null int64\n",
      "GrLivArea        1460 non-null int64\n",
      "BsmtFullBath     1460 non-null int64\n",
      "BsmtHalfBath     1460 non-null int64\n",
      "FullBath         1460 non-null int64\n",
      "HalfBath         1460 non-null int64\n",
      "BedroomAbvGr     1460 non-null int64\n",
      "KitchenAbvGr     1460 non-null int64\n",
      "KitchenQual      1460 non-null object\n",
      "TotRmsAbvGrd     1460 non-null int64\n",
      "Functional       1460 non-null object\n",
      "Fireplaces       1460 non-null int64\n",
      "FireplaceQu      770 non-null object\n",
      "GarageType       1379 non-null object\n",
      "GarageYrBlt      1379 non-null float64\n",
      "GarageFinish     1379 non-null object\n",
      "GarageCars       1460 non-null int64\n",
      "GarageArea       1460 non-null int64\n",
      "GarageQual       1379 non-null object\n",
      "GarageCond       1379 non-null object\n",
      "PavedDrive       1460 non-null object\n",
      "WoodDeckSF       1460 non-null int64\n",
      "OpenPorchSF      1460 non-null int64\n",
      "EnclosedPorch    1460 non-null int64\n",
      "3SsnPorch        1460 non-null int64\n",
      "ScreenPorch      1460 non-null int64\n",
      "PoolArea         1460 non-null int64\n",
      "PoolQC           7 non-null object\n",
      "Fence            281 non-null object\n",
      "MiscFeature      54 non-null object\n",
      "MiscVal          1460 non-null int64\n",
      "MoSold           1460 non-null int64\n",
      "YrSold           1460 non-null int64\n",
      "SaleType         1460 non-null object\n",
      "SaleCondition    1460 non-null object\n",
      "SalePrice        1460 non-null int64\n",
      "dtypes: float64(3), int64(35), object(43)\n",
      "memory usage: 924.0+ KB\n"
     ]
    }
   ],
   "source": [
    "df.info()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### Creating a derivied column - \"AgeHouse\"\n",
    "It is the age of the house calculated by `YrSold-YearBuilt`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 616,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Age of the house \n",
    "df['AgeHouse'] = df['YrSold'] - df['YearBuilt']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 617,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Id</th>\n",
       "      <th>MSSubClass</th>\n",
       "      <th>MSZoning</th>\n",
       "      <th>LotFrontage</th>\n",
       "      <th>LotArea</th>\n",
       "      <th>Street</th>\n",
       "      <th>Alley</th>\n",
       "      <th>LotShape</th>\n",
       "      <th>LandContour</th>\n",
       "      <th>Utilities</th>\n",
       "      <th>LotConfig</th>\n",
       "      <th>LandSlope</th>\n",
       "      <th>Neighborhood</th>\n",
       "      <th>Condition1</th>\n",
       "      <th>Condition2</th>\n",
       "      <th>BldgType</th>\n",
       "      <th>HouseStyle</th>\n",
       "      <th>OverallQual</th>\n",
       "      <th>OverallCond</th>\n",
       "      <th>YearBuilt</th>\n",
       "      <th>YearRemodAdd</th>\n",
       "      <th>RoofStyle</th>\n",
       "      <th>RoofMatl</th>\n",
       "      <th>Exterior1st</th>\n",
       "      <th>Exterior2nd</th>\n",
       "      <th>MasVnrType</th>\n",
       "      <th>MasVnrArea</th>\n",
       "      <th>ExterQual</th>\n",
       "      <th>ExterCond</th>\n",
       "      <th>Foundation</th>\n",
       "      <th>BsmtQual</th>\n",
       "      <th>BsmtCond</th>\n",
       "      <th>BsmtExposure</th>\n",
       "      <th>BsmtFinType1</th>\n",
       "      <th>BsmtFinSF1</th>\n",
       "      <th>BsmtFinType2</th>\n",
       "      <th>BsmtFinSF2</th>\n",
       "      <th>BsmtUnfSF</th>\n",
       "      <th>TotalBsmtSF</th>\n",
       "      <th>Heating</th>\n",
       "      <th>HeatingQC</th>\n",
       "      <th>CentralAir</th>\n",
       "      <th>Electrical</th>\n",
       "      <th>1stFlrSF</th>\n",
       "      <th>2ndFlrSF</th>\n",
       "      <th>LowQualFinSF</th>\n",
       "      <th>GrLivArea</th>\n",
       "      <th>BsmtFullBath</th>\n",
       "      <th>BsmtHalfBath</th>\n",
       "      <th>FullBath</th>\n",
       "      <th>HalfBath</th>\n",
       "      <th>BedroomAbvGr</th>\n",
       "      <th>KitchenAbvGr</th>\n",
       "      <th>KitchenQual</th>\n",
       "      <th>TotRmsAbvGrd</th>\n",
       "      <th>Functional</th>\n",
       "      <th>Fireplaces</th>\n",
       "      <th>FireplaceQu</th>\n",
       "      <th>GarageType</th>\n",
       "      <th>GarageYrBlt</th>\n",
       "      <th>GarageFinish</th>\n",
       "      <th>GarageCars</th>\n",
       "      <th>GarageArea</th>\n",
       "      <th>GarageQual</th>\n",
       "      <th>GarageCond</th>\n",
       "      <th>PavedDrive</th>\n",
       "      <th>WoodDeckSF</th>\n",
       "      <th>OpenPorchSF</th>\n",
       "      <th>EnclosedPorch</th>\n",
       "      <th>3SsnPorch</th>\n",
       "      <th>ScreenPorch</th>\n",
       "      <th>PoolArea</th>\n",
       "      <th>PoolQC</th>\n",
       "      <th>Fence</th>\n",
       "      <th>MiscFeature</th>\n",
       "      <th>MiscVal</th>\n",
       "      <th>MoSold</th>\n",
       "      <th>YrSold</th>\n",
       "      <th>SaleType</th>\n",
       "      <th>SaleCondition</th>\n",
       "      <th>SalePrice</th>\n",
       "      <th>AgeHouse</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>1</td>\n",
       "      <td>60</td>\n",
       "      <td>RL</td>\n",
       "      <td>65.0</td>\n",
       "      <td>8450</td>\n",
       "      <td>Pave</td>\n",
       "      <td>NaN</td>\n",
       "      <td>Reg</td>\n",
       "      <td>Lvl</td>\n",
       "      <td>AllPub</td>\n",
       "      <td>Inside</td>\n",
       "      <td>Gtl</td>\n",
       "      <td>CollgCr</td>\n",
       "      <td>Norm</td>\n",
       "      <td>Norm</td>\n",
       "      <td>1Fam</td>\n",
       "      <td>2Story</td>\n",
       "      <td>7</td>\n",
       "      <td>5</td>\n",
       "      <td>2003</td>\n",
       "      <td>2003</td>\n",
       "      <td>Gable</td>\n",
       "      <td>CompShg</td>\n",
       "      <td>VinylSd</td>\n",
       "      <td>VinylSd</td>\n",
       "      <td>BrkFace</td>\n",
       "      <td>196.0</td>\n",
       "      <td>Gd</td>\n",
       "      <td>TA</td>\n",
       "      <td>PConc</td>\n",
       "      <td>Gd</td>\n",
       "      <td>TA</td>\n",
       "      <td>No</td>\n",
       "      <td>GLQ</td>\n",
       "      <td>706</td>\n",
       "      <td>Unf</td>\n",
       "      <td>0</td>\n",
       "      <td>150</td>\n",
       "      <td>856</td>\n",
       "      <td>GasA</td>\n",
       "      <td>Ex</td>\n",
       "      <td>Y</td>\n",
       "      <td>SBrkr</td>\n",
       "      <td>856</td>\n",
       "      <td>854</td>\n",
       "      <td>0</td>\n",
       "      <td>1710</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "      <td>3</td>\n",
       "      <td>1</td>\n",
       "      <td>Gd</td>\n",
       "      <td>8</td>\n",
       "      <td>Typ</td>\n",
       "      <td>0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>Attchd</td>\n",
       "      <td>2003.0</td>\n",
       "      <td>RFn</td>\n",
       "      <td>2</td>\n",
       "      <td>548</td>\n",
       "      <td>TA</td>\n",
       "      <td>TA</td>\n",
       "      <td>Y</td>\n",
       "      <td>0</td>\n",
       "      <td>61</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0</td>\n",
       "      <td>2</td>\n",
       "      <td>2008</td>\n",
       "      <td>WD</td>\n",
       "      <td>Normal</td>\n",
       "      <td>208500</td>\n",
       "      <td>5</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>2</td>\n",
       "      <td>20</td>\n",
       "      <td>RL</td>\n",
       "      <td>80.0</td>\n",
       "      <td>9600</td>\n",
       "      <td>Pave</td>\n",
       "      <td>NaN</td>\n",
       "      <td>Reg</td>\n",
       "      <td>Lvl</td>\n",
       "      <td>AllPub</td>\n",
       "      <td>FR2</td>\n",
       "      <td>Gtl</td>\n",
       "      <td>Veenker</td>\n",
       "      <td>Feedr</td>\n",
       "      <td>Norm</td>\n",
       "      <td>1Fam</td>\n",
       "      <td>1Story</td>\n",
       "      <td>6</td>\n",
       "      <td>8</td>\n",
       "      <td>1976</td>\n",
       "      <td>1976</td>\n",
       "      <td>Gable</td>\n",
       "      <td>CompShg</td>\n",
       "      <td>MetalSd</td>\n",
       "      <td>MetalSd</td>\n",
       "      <td>None</td>\n",
       "      <td>0.0</td>\n",
       "      <td>TA</td>\n",
       "      <td>TA</td>\n",
       "      <td>CBlock</td>\n",
       "      <td>Gd</td>\n",
       "      <td>TA</td>\n",
       "      <td>Gd</td>\n",
       "      <td>ALQ</td>\n",
       "      <td>978</td>\n",
       "      <td>Unf</td>\n",
       "      <td>0</td>\n",
       "      <td>284</td>\n",
       "      <td>1262</td>\n",
       "      <td>GasA</td>\n",
       "      <td>Ex</td>\n",
       "      <td>Y</td>\n",
       "      <td>SBrkr</td>\n",
       "      <td>1262</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1262</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>2</td>\n",
       "      <td>0</td>\n",
       "      <td>3</td>\n",
       "      <td>1</td>\n",
       "      <td>TA</td>\n",
       "      <td>6</td>\n",
       "      <td>Typ</td>\n",
       "      <td>1</td>\n",
       "      <td>TA</td>\n",
       "      <td>Attchd</td>\n",
       "      <td>1976.0</td>\n",
       "      <td>RFn</td>\n",
       "      <td>2</td>\n",
       "      <td>460</td>\n",
       "      <td>TA</td>\n",
       "      <td>TA</td>\n",
       "      <td>Y</td>\n",
       "      <td>298</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0</td>\n",
       "      <td>5</td>\n",
       "      <td>2007</td>\n",
       "      <td>WD</td>\n",
       "      <td>Normal</td>\n",
       "      <td>181500</td>\n",
       "      <td>31</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>3</td>\n",
       "      <td>60</td>\n",
       "      <td>RL</td>\n",
       "      <td>68.0</td>\n",
       "      <td>11250</td>\n",
       "      <td>Pave</td>\n",
       "      <td>NaN</td>\n",
       "      <td>IR1</td>\n",
       "      <td>Lvl</td>\n",
       "      <td>AllPub</td>\n",
       "      <td>Inside</td>\n",
       "      <td>Gtl</td>\n",
       "      <td>CollgCr</td>\n",
       "      <td>Norm</td>\n",
       "      <td>Norm</td>\n",
       "      <td>1Fam</td>\n",
       "      <td>2Story</td>\n",
       "      <td>7</td>\n",
       "      <td>5</td>\n",
       "      <td>2001</td>\n",
       "      <td>2002</td>\n",
       "      <td>Gable</td>\n",
       "      <td>CompShg</td>\n",
       "      <td>VinylSd</td>\n",
       "      <td>VinylSd</td>\n",
       "      <td>BrkFace</td>\n",
       "      <td>162.0</td>\n",
       "      <td>Gd</td>\n",
       "      <td>TA</td>\n",
       "      <td>PConc</td>\n",
       "      <td>Gd</td>\n",
       "      <td>TA</td>\n",
       "      <td>Mn</td>\n",
       "      <td>GLQ</td>\n",
       "      <td>486</td>\n",
       "      <td>Unf</td>\n",
       "      <td>0</td>\n",
       "      <td>434</td>\n",
       "      <td>920</td>\n",
       "      <td>GasA</td>\n",
       "      <td>Ex</td>\n",
       "      <td>Y</td>\n",
       "      <td>SBrkr</td>\n",
       "      <td>920</td>\n",
       "      <td>866</td>\n",
       "      <td>0</td>\n",
       "      <td>1786</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "      <td>3</td>\n",
       "      <td>1</td>\n",
       "      <td>Gd</td>\n",
       "      <td>6</td>\n",
       "      <td>Typ</td>\n",
       "      <td>1</td>\n",
       "      <td>TA</td>\n",
       "      <td>Attchd</td>\n",
       "      <td>2001.0</td>\n",
       "      <td>RFn</td>\n",
       "      <td>2</td>\n",
       "      <td>608</td>\n",
       "      <td>TA</td>\n",
       "      <td>TA</td>\n",
       "      <td>Y</td>\n",
       "      <td>0</td>\n",
       "      <td>42</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0</td>\n",
       "      <td>9</td>\n",
       "      <td>2008</td>\n",
       "      <td>WD</td>\n",
       "      <td>Normal</td>\n",
       "      <td>223500</td>\n",
       "      <td>7</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>4</td>\n",
       "      <td>70</td>\n",
       "      <td>RL</td>\n",
       "      <td>60.0</td>\n",
       "      <td>9550</td>\n",
       "      <td>Pave</td>\n",
       "      <td>NaN</td>\n",
       "      <td>IR1</td>\n",
       "      <td>Lvl</td>\n",
       "      <td>AllPub</td>\n",
       "      <td>Corner</td>\n",
       "      <td>Gtl</td>\n",
       "      <td>Crawfor</td>\n",
       "      <td>Norm</td>\n",
       "      <td>Norm</td>\n",
       "      <td>1Fam</td>\n",
       "      <td>2Story</td>\n",
       "      <td>7</td>\n",
       "      <td>5</td>\n",
       "      <td>1915</td>\n",
       "      <td>1970</td>\n",
       "      <td>Gable</td>\n",
       "      <td>CompShg</td>\n",
       "      <td>Wd Sdng</td>\n",
       "      <td>Wd Shng</td>\n",
       "      <td>None</td>\n",
       "      <td>0.0</td>\n",
       "      <td>TA</td>\n",
       "      <td>TA</td>\n",
       "      <td>BrkTil</td>\n",
       "      <td>TA</td>\n",
       "      <td>Gd</td>\n",
       "      <td>No</td>\n",
       "      <td>ALQ</td>\n",
       "      <td>216</td>\n",
       "      <td>Unf</td>\n",
       "      <td>0</td>\n",
       "      <td>540</td>\n",
       "      <td>756</td>\n",
       "      <td>GasA</td>\n",
       "      <td>Gd</td>\n",
       "      <td>Y</td>\n",
       "      <td>SBrkr</td>\n",
       "      <td>961</td>\n",
       "      <td>756</td>\n",
       "      <td>0</td>\n",
       "      <td>1717</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>3</td>\n",
       "      <td>1</td>\n",
       "      <td>Gd</td>\n",
       "      <td>7</td>\n",
       "      <td>Typ</td>\n",
       "      <td>1</td>\n",
       "      <td>Gd</td>\n",
       "      <td>Detchd</td>\n",
       "      <td>1998.0</td>\n",
       "      <td>Unf</td>\n",
       "      <td>3</td>\n",
       "      <td>642</td>\n",
       "      <td>TA</td>\n",
       "      <td>TA</td>\n",
       "      <td>Y</td>\n",
       "      <td>0</td>\n",
       "      <td>35</td>\n",
       "      <td>272</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0</td>\n",
       "      <td>2</td>\n",
       "      <td>2006</td>\n",
       "      <td>WD</td>\n",
       "      <td>Abnorml</td>\n",
       "      <td>140000</td>\n",
       "      <td>91</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>5</td>\n",
       "      <td>60</td>\n",
       "      <td>RL</td>\n",
       "      <td>84.0</td>\n",
       "      <td>14260</td>\n",
       "      <td>Pave</td>\n",
       "      <td>NaN</td>\n",
       "      <td>IR1</td>\n",
       "      <td>Lvl</td>\n",
       "      <td>AllPub</td>\n",
       "      <td>FR2</td>\n",
       "      <td>Gtl</td>\n",
       "      <td>NoRidge</td>\n",
       "      <td>Norm</td>\n",
       "      <td>Norm</td>\n",
       "      <td>1Fam</td>\n",
       "      <td>2Story</td>\n",
       "      <td>8</td>\n",
       "      <td>5</td>\n",
       "      <td>2000</td>\n",
       "      <td>2000</td>\n",
       "      <td>Gable</td>\n",
       "      <td>CompShg</td>\n",
       "      <td>VinylSd</td>\n",
       "      <td>VinylSd</td>\n",
       "      <td>BrkFace</td>\n",
       "      <td>350.0</td>\n",
       "      <td>Gd</td>\n",
       "      <td>TA</td>\n",
       "      <td>PConc</td>\n",
       "      <td>Gd</td>\n",
       "      <td>TA</td>\n",
       "      <td>Av</td>\n",
       "      <td>GLQ</td>\n",
       "      <td>655</td>\n",
       "      <td>Unf</td>\n",
       "      <td>0</td>\n",
       "      <td>490</td>\n",
       "      <td>1145</td>\n",
       "      <td>GasA</td>\n",
       "      <td>Ex</td>\n",
       "      <td>Y</td>\n",
       "      <td>SBrkr</td>\n",
       "      <td>1145</td>\n",
       "      <td>1053</td>\n",
       "      <td>0</td>\n",
       "      <td>2198</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "      <td>4</td>\n",
       "      <td>1</td>\n",
       "      <td>Gd</td>\n",
       "      <td>9</td>\n",
       "      <td>Typ</td>\n",
       "      <td>1</td>\n",
       "      <td>TA</td>\n",
       "      <td>Attchd</td>\n",
       "      <td>2000.0</td>\n",
       "      <td>RFn</td>\n",
       "      <td>3</td>\n",
       "      <td>836</td>\n",
       "      <td>TA</td>\n",
       "      <td>TA</td>\n",
       "      <td>Y</td>\n",
       "      <td>192</td>\n",
       "      <td>84</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0</td>\n",
       "      <td>12</td>\n",
       "      <td>2008</td>\n",
       "      <td>WD</td>\n",
       "      <td>Normal</td>\n",
       "      <td>250000</td>\n",
       "      <td>8</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   Id  MSSubClass MSZoning  LotFrontage  LotArea Street Alley LotShape  \\\n",
       "0   1          60       RL         65.0     8450   Pave   NaN      Reg   \n",
       "1   2          20       RL         80.0     9600   Pave   NaN      Reg   \n",
       "2   3          60       RL         68.0    11250   Pave   NaN      IR1   \n",
       "3   4          70       RL         60.0     9550   Pave   NaN      IR1   \n",
       "4   5          60       RL         84.0    14260   Pave   NaN      IR1   \n",
       "\n",
       "  LandContour Utilities LotConfig LandSlope Neighborhood Condition1  \\\n",
       "0         Lvl    AllPub    Inside       Gtl      CollgCr       Norm   \n",
       "1         Lvl    AllPub       FR2       Gtl      Veenker      Feedr   \n",
       "2         Lvl    AllPub    Inside       Gtl      CollgCr       Norm   \n",
       "3         Lvl    AllPub    Corner       Gtl      Crawfor       Norm   \n",
       "4         Lvl    AllPub       FR2       Gtl      NoRidge       Norm   \n",
       "\n",
       "  Condition2 BldgType HouseStyle  OverallQual  OverallCond  YearBuilt  \\\n",
       "0       Norm     1Fam     2Story            7            5       2003   \n",
       "1       Norm     1Fam     1Story            6            8       1976   \n",
       "2       Norm     1Fam     2Story            7            5       2001   \n",
       "3       Norm     1Fam     2Story            7            5       1915   \n",
       "4       Norm     1Fam     2Story            8            5       2000   \n",
       "\n",
       "   YearRemodAdd RoofStyle RoofMatl Exterior1st Exterior2nd MasVnrType  \\\n",
       "0          2003     Gable  CompShg     VinylSd     VinylSd    BrkFace   \n",
       "1          1976     Gable  CompShg     MetalSd     MetalSd       None   \n",
       "2          2002     Gable  CompShg     VinylSd     VinylSd    BrkFace   \n",
       "3          1970     Gable  CompShg     Wd Sdng     Wd Shng       None   \n",
       "4          2000     Gable  CompShg     VinylSd     VinylSd    BrkFace   \n",
       "\n",
       "   MasVnrArea ExterQual ExterCond Foundation BsmtQual BsmtCond BsmtExposure  \\\n",
       "0       196.0        Gd        TA      PConc       Gd       TA           No   \n",
       "1         0.0        TA        TA     CBlock       Gd       TA           Gd   \n",
       "2       162.0        Gd        TA      PConc       Gd       TA           Mn   \n",
       "3         0.0        TA        TA     BrkTil       TA       Gd           No   \n",
       "4       350.0        Gd        TA      PConc       Gd       TA           Av   \n",
       "\n",
       "  BsmtFinType1  BsmtFinSF1 BsmtFinType2  BsmtFinSF2  BsmtUnfSF  TotalBsmtSF  \\\n",
       "0          GLQ         706          Unf           0        150          856   \n",
       "1          ALQ         978          Unf           0        284         1262   \n",
       "2          GLQ         486          Unf           0        434          920   \n",
       "3          ALQ         216          Unf           0        540          756   \n",
       "4          GLQ         655          Unf           0        490         1145   \n",
       "\n",
       "  Heating HeatingQC CentralAir Electrical  1stFlrSF  2ndFlrSF  LowQualFinSF  \\\n",
       "0    GasA        Ex          Y      SBrkr       856       854             0   \n",
       "1    GasA        Ex          Y      SBrkr      1262         0             0   \n",
       "2    GasA        Ex          Y      SBrkr       920       866             0   \n",
       "3    GasA        Gd          Y      SBrkr       961       756             0   \n",
       "4    GasA        Ex          Y      SBrkr      1145      1053             0   \n",
       "\n",
       "   GrLivArea  BsmtFullBath  BsmtHalfBath  FullBath  HalfBath  BedroomAbvGr  \\\n",
       "0       1710             1             0         2         1             3   \n",
       "1       1262             0             1         2         0             3   \n",
       "2       1786             1             0         2         1             3   \n",
       "3       1717             1             0         1         0             3   \n",
       "4       2198             1             0         2         1             4   \n",
       "\n",
       "   KitchenAbvGr KitchenQual  TotRmsAbvGrd Functional  Fireplaces FireplaceQu  \\\n",
       "0             1          Gd             8        Typ           0         NaN   \n",
       "1             1          TA             6        Typ           1          TA   \n",
       "2             1          Gd             6        Typ           1          TA   \n",
       "3             1          Gd             7        Typ           1          Gd   \n",
       "4             1          Gd             9        Typ           1          TA   \n",
       "\n",
       "  GarageType  GarageYrBlt GarageFinish  GarageCars  GarageArea GarageQual  \\\n",
       "0     Attchd       2003.0          RFn           2         548         TA   \n",
       "1     Attchd       1976.0          RFn           2         460         TA   \n",
       "2     Attchd       2001.0          RFn           2         608         TA   \n",
       "3     Detchd       1998.0          Unf           3         642         TA   \n",
       "4     Attchd       2000.0          RFn           3         836         TA   \n",
       "\n",
       "  GarageCond PavedDrive  WoodDeckSF  OpenPorchSF  EnclosedPorch  3SsnPorch  \\\n",
       "0         TA          Y           0           61              0          0   \n",
       "1         TA          Y         298            0              0          0   \n",
       "2         TA          Y           0           42              0          0   \n",
       "3         TA          Y           0           35            272          0   \n",
       "4         TA          Y         192           84              0          0   \n",
       "\n",
       "   ScreenPorch  PoolArea PoolQC Fence MiscFeature  MiscVal  MoSold  YrSold  \\\n",
       "0            0         0    NaN   NaN         NaN        0       2    2008   \n",
       "1            0         0    NaN   NaN         NaN        0       5    2007   \n",
       "2            0         0    NaN   NaN         NaN        0       9    2008   \n",
       "3            0         0    NaN   NaN         NaN        0       2    2006   \n",
       "4            0         0    NaN   NaN         NaN        0      12    2008   \n",
       "\n",
       "  SaleType SaleCondition  SalePrice  AgeHouse  \n",
       "0       WD        Normal     208500         5  \n",
       "1       WD        Normal     181500        31  \n",
       "2       WD        Normal     223500         7  \n",
       "3       WD       Abnorml     140000        91  \n",
       "4       WD        Normal     250000         8  "
      ]
     },
     "execution_count": 617,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "###### Removing few columns :-\n",
    "1. YrSold and YearBuilt columns. As we derived the age of the house, so we do not need these columns anymore in our analysis.\n",
    "2. YearRemodAdd, GarageYrBlt and MoSold columns - As these columns will not be such useful while doing our analysis. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 618,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Removing columns\n",
    "df.drop(['YearBuilt', 'YearRemodAdd', 'GarageYrBlt', 'YrSold', 'MoSold'], axis=1, inplace=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "###### Converting numeric to categorical column\n",
    "`OverallQual`, `OverallCond` and `MSSubClass` are categorical column but in the original dataset the types of these columns are numeric. Hence converting these columns to categorical. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 619,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Converting column type for categorical variable from numeric to object\n",
    "df['MSSubClass'] = df['MSSubClass'].astype('object')\n",
    "df['OverallQual'] = df['OverallQual'].astype('object')\n",
    "df['OverallCond'] = df['OverallCond'].astype('object')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 620,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "<class 'pandas.core.frame.DataFrame'>\n",
      "RangeIndex: 1460 entries, 0 to 1459\n",
      "Data columns (total 77 columns):\n",
      "Id               1460 non-null int64\n",
      "MSSubClass       1460 non-null object\n",
      "MSZoning         1460 non-null object\n",
      "LotFrontage      1201 non-null float64\n",
      "LotArea          1460 non-null int64\n",
      "Street           1460 non-null object\n",
      "Alley            91 non-null object\n",
      "LotShape         1460 non-null object\n",
      "LandContour      1460 non-null object\n",
      "Utilities        1460 non-null object\n",
      "LotConfig        1460 non-null object\n",
      "LandSlope        1460 non-null object\n",
      "Neighborhood     1460 non-null object\n",
      "Condition1       1460 non-null object\n",
      "Condition2       1460 non-null object\n",
      "BldgType         1460 non-null object\n",
      "HouseStyle       1460 non-null object\n",
      "OverallQual      1460 non-null object\n",
      "OverallCond      1460 non-null object\n",
      "RoofStyle        1460 non-null object\n",
      "RoofMatl         1460 non-null object\n",
      "Exterior1st      1460 non-null object\n",
      "Exterior2nd      1460 non-null object\n",
      "MasVnrType       1452 non-null object\n",
      "MasVnrArea       1452 non-null float64\n",
      "ExterQual        1460 non-null object\n",
      "ExterCond        1460 non-null object\n",
      "Foundation       1460 non-null object\n",
      "BsmtQual         1423 non-null object\n",
      "BsmtCond         1423 non-null object\n",
      "BsmtExposure     1422 non-null object\n",
      "BsmtFinType1     1423 non-null object\n",
      "BsmtFinSF1       1460 non-null int64\n",
      "BsmtFinType2     1422 non-null object\n",
      "BsmtFinSF2       1460 non-null int64\n",
      "BsmtUnfSF        1460 non-null int64\n",
      "TotalBsmtSF      1460 non-null int64\n",
      "Heating          1460 non-null object\n",
      "HeatingQC        1460 non-null object\n",
      "CentralAir       1460 non-null object\n",
      "Electrical       1459 non-null object\n",
      "1stFlrSF         1460 non-null int64\n",
      "2ndFlrSF         1460 non-null int64\n",
      "LowQualFinSF     1460 non-null int64\n",
      "GrLivArea        1460 non-null int64\n",
      "BsmtFullBath     1460 non-null int64\n",
      "BsmtHalfBath     1460 non-null int64\n",
      "FullBath         1460 non-null int64\n",
      "HalfBath         1460 non-null int64\n",
      "BedroomAbvGr     1460 non-null int64\n",
      "KitchenAbvGr     1460 non-null int64\n",
      "KitchenQual      1460 non-null object\n",
      "TotRmsAbvGrd     1460 non-null int64\n",
      "Functional       1460 non-null object\n",
      "Fireplaces       1460 non-null int64\n",
      "FireplaceQu      770 non-null object\n",
      "GarageType       1379 non-null object\n",
      "GarageFinish     1379 non-null object\n",
      "GarageCars       1460 non-null int64\n",
      "GarageArea       1460 non-null int64\n",
      "GarageQual       1379 non-null object\n",
      "GarageCond       1379 non-null object\n",
      "PavedDrive       1460 non-null object\n",
      "WoodDeckSF       1460 non-null int64\n",
      "OpenPorchSF      1460 non-null int64\n",
      "EnclosedPorch    1460 non-null int64\n",
      "3SsnPorch        1460 non-null int64\n",
      "ScreenPorch      1460 non-null int64\n",
      "PoolArea         1460 non-null int64\n",
      "PoolQC           7 non-null object\n",
      "Fence            281 non-null object\n",
      "MiscFeature      54 non-null object\n",
      "MiscVal          1460 non-null int64\n",
      "SaleType         1460 non-null object\n",
      "SaleCondition    1460 non-null object\n",
      "SalePrice        1460 non-null int64\n",
      "AgeHouse         1460 non-null int64\n",
      "dtypes: float64(2), int64(29), object(46)\n",
      "memory usage: 878.4+ KB\n"
     ]
    }
   ],
   "source": [
    "df.info()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 621,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Id</th>\n",
       "      <th>LotFrontage</th>\n",
       "      <th>LotArea</th>\n",
       "      <th>MasVnrArea</th>\n",
       "      <th>BsmtFinSF1</th>\n",
       "      <th>BsmtFinSF2</th>\n",
       "      <th>BsmtUnfSF</th>\n",
       "      <th>TotalBsmtSF</th>\n",
       "      <th>1stFlrSF</th>\n",
       "      <th>2ndFlrSF</th>\n",
       "      <th>LowQualFinSF</th>\n",
       "      <th>GrLivArea</th>\n",
       "      <th>BsmtFullBath</th>\n",
       "      <th>BsmtHalfBath</th>\n",
       "      <th>FullBath</th>\n",
       "      <th>HalfBath</th>\n",
       "      <th>BedroomAbvGr</th>\n",
       "      <th>KitchenAbvGr</th>\n",
       "      <th>TotRmsAbvGrd</th>\n",
       "      <th>Fireplaces</th>\n",
       "      <th>GarageCars</th>\n",
       "      <th>GarageArea</th>\n",
       "      <th>WoodDeckSF</th>\n",
       "      <th>OpenPorchSF</th>\n",
       "      <th>EnclosedPorch</th>\n",
       "      <th>3SsnPorch</th>\n",
       "      <th>ScreenPorch</th>\n",
       "      <th>PoolArea</th>\n",
       "      <th>MiscVal</th>\n",
       "      <th>SalePrice</th>\n",
       "      <th>AgeHouse</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>count</th>\n",
       "      <td>1460.000000</td>\n",
       "      <td>1201.000000</td>\n",
       "      <td>1460.000000</td>\n",
       "      <td>1452.000000</td>\n",
       "      <td>1460.000000</td>\n",
       "      <td>1460.000000</td>\n",
       "      <td>1460.000000</td>\n",
       "      <td>1460.000000</td>\n",
       "      <td>1460.000000</td>\n",
       "      <td>1460.000000</td>\n",
       "      <td>1460.000000</td>\n",
       "      <td>1460.000000</td>\n",
       "      <td>1460.000000</td>\n",
       "      <td>1460.000000</td>\n",
       "      <td>1460.000000</td>\n",
       "      <td>1460.000000</td>\n",
       "      <td>1460.000000</td>\n",
       "      <td>1460.000000</td>\n",
       "      <td>1460.000000</td>\n",
       "      <td>1460.000000</td>\n",
       "      <td>1460.000000</td>\n",
       "      <td>1460.000000</td>\n",
       "      <td>1460.000000</td>\n",
       "      <td>1460.000000</td>\n",
       "      <td>1460.000000</td>\n",
       "      <td>1460.000000</td>\n",
       "      <td>1460.000000</td>\n",
       "      <td>1460.000000</td>\n",
       "      <td>1460.000000</td>\n",
       "      <td>1460.000000</td>\n",
       "      <td>1460.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>mean</th>\n",
       "      <td>730.500000</td>\n",
       "      <td>70.049958</td>\n",
       "      <td>10516.828082</td>\n",
       "      <td>103.685262</td>\n",
       "      <td>443.639726</td>\n",
       "      <td>46.549315</td>\n",
       "      <td>567.240411</td>\n",
       "      <td>1057.429452</td>\n",
       "      <td>1162.626712</td>\n",
       "      <td>346.992466</td>\n",
       "      <td>5.844521</td>\n",
       "      <td>1515.463699</td>\n",
       "      <td>0.425342</td>\n",
       "      <td>0.057534</td>\n",
       "      <td>1.565068</td>\n",
       "      <td>0.382877</td>\n",
       "      <td>2.866438</td>\n",
       "      <td>1.046575</td>\n",
       "      <td>6.517808</td>\n",
       "      <td>0.613014</td>\n",
       "      <td>1.767123</td>\n",
       "      <td>472.980137</td>\n",
       "      <td>94.244521</td>\n",
       "      <td>46.660274</td>\n",
       "      <td>21.954110</td>\n",
       "      <td>3.409589</td>\n",
       "      <td>15.060959</td>\n",
       "      <td>2.758904</td>\n",
       "      <td>43.489041</td>\n",
       "      <td>180921.195890</td>\n",
       "      <td>36.547945</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>std</th>\n",
       "      <td>421.610009</td>\n",
       "      <td>24.284752</td>\n",
       "      <td>9981.264932</td>\n",
       "      <td>181.066207</td>\n",
       "      <td>456.098091</td>\n",
       "      <td>161.319273</td>\n",
       "      <td>441.866955</td>\n",
       "      <td>438.705324</td>\n",
       "      <td>386.587738</td>\n",
       "      <td>436.528436</td>\n",
       "      <td>48.623081</td>\n",
       "      <td>525.480383</td>\n",
       "      <td>0.518911</td>\n",
       "      <td>0.238753</td>\n",
       "      <td>0.550916</td>\n",
       "      <td>0.502885</td>\n",
       "      <td>0.815778</td>\n",
       "      <td>0.220338</td>\n",
       "      <td>1.625393</td>\n",
       "      <td>0.644666</td>\n",
       "      <td>0.747315</td>\n",
       "      <td>213.804841</td>\n",
       "      <td>125.338794</td>\n",
       "      <td>66.256028</td>\n",
       "      <td>61.119149</td>\n",
       "      <td>29.317331</td>\n",
       "      <td>55.757415</td>\n",
       "      <td>40.177307</td>\n",
       "      <td>496.123024</td>\n",
       "      <td>79442.502883</td>\n",
       "      <td>30.250152</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>min</th>\n",
       "      <td>1.000000</td>\n",
       "      <td>21.000000</td>\n",
       "      <td>1300.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>334.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>334.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>2.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>34900.000000</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25%</th>\n",
       "      <td>365.750000</td>\n",
       "      <td>59.000000</td>\n",
       "      <td>7553.500000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>223.000000</td>\n",
       "      <td>795.750000</td>\n",
       "      <td>882.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1129.500000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>2.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>5.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>334.500000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>129975.000000</td>\n",
       "      <td>8.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>50%</th>\n",
       "      <td>730.500000</td>\n",
       "      <td>69.000000</td>\n",
       "      <td>9478.500000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>383.500000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>477.500000</td>\n",
       "      <td>991.500000</td>\n",
       "      <td>1087.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1464.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>2.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>3.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>6.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>2.000000</td>\n",
       "      <td>480.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>25.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>163000.000000</td>\n",
       "      <td>35.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>75%</th>\n",
       "      <td>1095.250000</td>\n",
       "      <td>80.000000</td>\n",
       "      <td>11601.500000</td>\n",
       "      <td>166.000000</td>\n",
       "      <td>712.250000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>808.000000</td>\n",
       "      <td>1298.250000</td>\n",
       "      <td>1391.250000</td>\n",
       "      <td>728.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1776.750000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>2.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>3.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>7.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>2.000000</td>\n",
       "      <td>576.000000</td>\n",
       "      <td>168.000000</td>\n",
       "      <td>68.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>214000.000000</td>\n",
       "      <td>54.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>max</th>\n",
       "      <td>1460.000000</td>\n",
       "      <td>313.000000</td>\n",
       "      <td>215245.000000</td>\n",
       "      <td>1600.000000</td>\n",
       "      <td>5644.000000</td>\n",
       "      <td>1474.000000</td>\n",
       "      <td>2336.000000</td>\n",
       "      <td>6110.000000</td>\n",
       "      <td>4692.000000</td>\n",
       "      <td>2065.000000</td>\n",
       "      <td>572.000000</td>\n",
       "      <td>5642.000000</td>\n",
       "      <td>3.000000</td>\n",
       "      <td>2.000000</td>\n",
       "      <td>3.000000</td>\n",
       "      <td>2.000000</td>\n",
       "      <td>8.000000</td>\n",
       "      <td>3.000000</td>\n",
       "      <td>14.000000</td>\n",
       "      <td>3.000000</td>\n",
       "      <td>4.000000</td>\n",
       "      <td>1418.000000</td>\n",
       "      <td>857.000000</td>\n",
       "      <td>547.000000</td>\n",
       "      <td>552.000000</td>\n",
       "      <td>508.000000</td>\n",
       "      <td>480.000000</td>\n",
       "      <td>738.000000</td>\n",
       "      <td>15500.000000</td>\n",
       "      <td>755000.000000</td>\n",
       "      <td>136.000000</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
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      ],
      "text/plain": [
       "                Id  LotFrontage        LotArea   MasVnrArea   BsmtFinSF1  \\\n",
       "count  1460.000000  1201.000000    1460.000000  1452.000000  1460.000000   \n",
       "mean    730.500000    70.049958   10516.828082   103.685262   443.639726   \n",
       "std     421.610009    24.284752    9981.264932   181.066207   456.098091   \n",
       "min       1.000000    21.000000    1300.000000     0.000000     0.000000   \n",
       "25%     365.750000    59.000000    7553.500000     0.000000     0.000000   \n",
       "50%     730.500000    69.000000    9478.500000     0.000000   383.500000   \n",
       "75%    1095.250000    80.000000   11601.500000   166.000000   712.250000   \n",
       "max    1460.000000   313.000000  215245.000000  1600.000000  5644.000000   \n",
       "\n",
       "        BsmtFinSF2    BsmtUnfSF  TotalBsmtSF     1stFlrSF     2ndFlrSF  \\\n",
       "count  1460.000000  1460.000000  1460.000000  1460.000000  1460.000000   \n",
       "mean     46.549315   567.240411  1057.429452  1162.626712   346.992466   \n",
       "std     161.319273   441.866955   438.705324   386.587738   436.528436   \n",
       "min       0.000000     0.000000     0.000000   334.000000     0.000000   \n",
       "25%       0.000000   223.000000   795.750000   882.000000     0.000000   \n",
       "50%       0.000000   477.500000   991.500000  1087.000000     0.000000   \n",
       "75%       0.000000   808.000000  1298.250000  1391.250000   728.000000   \n",
       "max    1474.000000  2336.000000  6110.000000  4692.000000  2065.000000   \n",
       "\n",
       "       LowQualFinSF    GrLivArea  BsmtFullBath  BsmtHalfBath     FullBath  \\\n",
       "count   1460.000000  1460.000000   1460.000000   1460.000000  1460.000000   \n",
       "mean       5.844521  1515.463699      0.425342      0.057534     1.565068   \n",
       "std       48.623081   525.480383      0.518911      0.238753     0.550916   \n",
       "min        0.000000   334.000000      0.000000      0.000000     0.000000   \n",
       "25%        0.000000  1129.500000      0.000000      0.000000     1.000000   \n",
       "50%        0.000000  1464.000000      0.000000      0.000000     2.000000   \n",
       "75%        0.000000  1776.750000      1.000000      0.000000     2.000000   \n",
       "max      572.000000  5642.000000      3.000000      2.000000     3.000000   \n",
       "\n",
       "          HalfBath  BedroomAbvGr  KitchenAbvGr  TotRmsAbvGrd   Fireplaces  \\\n",
       "count  1460.000000   1460.000000   1460.000000   1460.000000  1460.000000   \n",
       "mean      0.382877      2.866438      1.046575      6.517808     0.613014   \n",
       "std       0.502885      0.815778      0.220338      1.625393     0.644666   \n",
       "min       0.000000      0.000000      0.000000      2.000000     0.000000   \n",
       "25%       0.000000      2.000000      1.000000      5.000000     0.000000   \n",
       "50%       0.000000      3.000000      1.000000      6.000000     1.000000   \n",
       "75%       1.000000      3.000000      1.000000      7.000000     1.000000   \n",
       "max       2.000000      8.000000      3.000000     14.000000     3.000000   \n",
       "\n",
       "        GarageCars   GarageArea   WoodDeckSF  OpenPorchSF  EnclosedPorch  \\\n",
       "count  1460.000000  1460.000000  1460.000000  1460.000000    1460.000000   \n",
       "mean      1.767123   472.980137    94.244521    46.660274      21.954110   \n",
       "std       0.747315   213.804841   125.338794    66.256028      61.119149   \n",
       "min       0.000000     0.000000     0.000000     0.000000       0.000000   \n",
       "25%       1.000000   334.500000     0.000000     0.000000       0.000000   \n",
       "50%       2.000000   480.000000     0.000000    25.000000       0.000000   \n",
       "75%       2.000000   576.000000   168.000000    68.000000       0.000000   \n",
       "max       4.000000  1418.000000   857.000000   547.000000     552.000000   \n",
       "\n",
       "         3SsnPorch  ScreenPorch     PoolArea       MiscVal      SalePrice  \\\n",
       "count  1460.000000  1460.000000  1460.000000   1460.000000    1460.000000   \n",
       "mean      3.409589    15.060959     2.758904     43.489041  180921.195890   \n",
       "std      29.317331    55.757415    40.177307    496.123024   79442.502883   \n",
       "min       0.000000     0.000000     0.000000      0.000000   34900.000000   \n",
       "25%       0.000000     0.000000     0.000000      0.000000  129975.000000   \n",
       "50%       0.000000     0.000000     0.000000      0.000000  163000.000000   \n",
       "75%       0.000000     0.000000     0.000000      0.000000  214000.000000   \n",
       "max     508.000000   480.000000   738.000000  15500.000000  755000.000000   \n",
       "\n",
       "          AgeHouse  \n",
       "count  1460.000000  \n",
       "mean     36.547945  \n",
       "std      30.250152  \n",
       "min       0.000000  \n",
       "25%       8.000000  \n",
       "50%      35.000000  \n",
       "75%      54.000000  \n",
       "max     136.000000  "
      ]
     },
     "execution_count": 621,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.describe()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Handaling missing values"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Replacing few NA values to relevant names\n",
    "We can see from the data dictonary that for few columns the NA value represents the `not present of the feature` in the house instead of representing the missing values. Hence, we need to impute the NA or the missing values for those columns to the relevant name."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 622,
   "metadata": {},
   "outputs": [],
   "source": [
    "df['Alley'] = df['Alley'].replace(np.nan, 'No Alley')\n",
    "df['BsmtQual'] = df['BsmtQual'].replace(np.nan, 'No Basement')\n",
    "df['BsmtCond'] = df['BsmtCond'].replace(np.nan, 'No Basement')\n",
    "df['BsmtExposure'] = df['BsmtExposure'].replace(np.nan, 'No Basement')\n",
    "df['BsmtFinType1'] = df['BsmtFinType1'].replace(np.nan, 'No Basement')\n",
    "df['BsmtFinType2'] = df['BsmtFinType2'].replace(np.nan, 'No Basement')\n",
    "df['FireplaceQu'] = df['FireplaceQu'].replace(np.nan, 'No Fireplace')\n",
    "df['GarageType'] = df['GarageType'].replace(np.nan, 'No Garage')\n",
    "df['GarageFinish'] = df['GarageFinish'].replace(np.nan, 'No Garage')\n",
    "df['GarageQual'] = df['GarageQual'].replace(np.nan, 'No Garage')\n",
    "df['GarageCond'] = df['GarageCond'].replace(np.nan, 'No Garage')\n",
    "df['PoolQC'] = df['PoolQC'].replace(np.nan, 'No Pool')\n",
    "df['Fence'] = df['Fence'].replace(np.nan, 'No Fence')\n",
    "df['MiscFeature'] = df['MiscFeature'].replace(np.nan, 'No MiscFeature')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Treating Missing Values in columns"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 623,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
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       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Nulls</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>LotFrontage</th>\n",
       "      <td>17.74</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>MasVnrType</th>\n",
       "      <td>0.55</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>MasVnrArea</th>\n",
       "      <td>0.55</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Electrical</th>\n",
       "      <td>0.07</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>KitchenAbvGr</th>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>GarageType</th>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>FireplaceQu</th>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Fireplaces</th>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Functional</th>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>TotRmsAbvGrd</th>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>KitchenQual</th>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Id</th>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>GarageFinish</th>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>HalfBath</th>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>FullBath</th>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>BsmtHalfBath</th>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>BsmtFullBath</th>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>GrLivArea</th>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>LowQualFinSF</th>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2ndFlrSF</th>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>BedroomAbvGr</th>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>GarageCars</th>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>GarageArea</th>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>GarageQual</th>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>SalePrice</th>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>SaleCondition</th>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>SaleType</th>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>MiscVal</th>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>MiscFeature</th>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Fence</th>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>...</th>\n",
       "      <td>...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Condition1</th>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Neighborhood</th>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>LandSlope</th>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>LotConfig</th>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Utilities</th>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>LandContour</th>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>LotShape</th>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Alley</th>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Street</th>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>LotArea</th>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>MSZoning</th>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>OverallCond</th>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>RoofStyle</th>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>RoofMatl</th>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>BsmtFinType1</th>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Heating</th>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>TotalBsmtSF</th>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>BsmtUnfSF</th>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>BsmtFinSF2</th>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>BsmtFinType2</th>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>BsmtFinSF1</th>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>BsmtExposure</th>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Exterior1st</th>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>BsmtCond</th>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>BsmtQual</th>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Foundation</th>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>ExterCond</th>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>ExterQual</th>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Exterior2nd</th>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>AgeHouse</th>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>77 rows × 1 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "               Nulls\n",
       "LotFrontage    17.74\n",
       "MasVnrType      0.55\n",
       "MasVnrArea      0.55\n",
       "Electrical      0.07\n",
       "KitchenAbvGr    0.00\n",
       "GarageType      0.00\n",
       "FireplaceQu     0.00\n",
       "Fireplaces      0.00\n",
       "Functional      0.00\n",
       "TotRmsAbvGrd    0.00\n",
       "KitchenQual     0.00\n",
       "Id              0.00\n",
       "GarageFinish    0.00\n",
       "HalfBath        0.00\n",
       "FullBath        0.00\n",
       "BsmtHalfBath    0.00\n",
       "BsmtFullBath    0.00\n",
       "GrLivArea       0.00\n",
       "LowQualFinSF    0.00\n",
       "2ndFlrSF        0.00\n",
       "BedroomAbvGr    0.00\n",
       "GarageCars      0.00\n",
       "GarageArea      0.00\n",
       "GarageQual      0.00\n",
       "SalePrice       0.00\n",
       "SaleCondition   0.00\n",
       "SaleType        0.00\n",
       "MiscVal         0.00\n",
       "MiscFeature     0.00\n",
       "Fence           0.00\n",
       "...              ...\n",
       "Condition1      0.00\n",
       "Neighborhood    0.00\n",
       "LandSlope       0.00\n",
       "LotConfig       0.00\n",
       "Utilities       0.00\n",
       "LandContour     0.00\n",
       "LotShape        0.00\n",
       "Alley           0.00\n",
       "Street          0.00\n",
       "LotArea         0.00\n",
       "MSZoning        0.00\n",
       "OverallCond     0.00\n",
       "RoofStyle       0.00\n",
       "RoofMatl        0.00\n",
       "BsmtFinType1    0.00\n",
       "Heating         0.00\n",
       "TotalBsmtSF     0.00\n",
       "BsmtUnfSF       0.00\n",
       "BsmtFinSF2      0.00\n",
       "BsmtFinType2    0.00\n",
       "BsmtFinSF1      0.00\n",
       "BsmtExposure    0.00\n",
       "Exterior1st     0.00\n",
       "BsmtCond        0.00\n",
       "BsmtQual        0.00\n",
       "Foundation      0.00\n",
       "ExterCond       0.00\n",
       "ExterQual       0.00\n",
       "Exterior2nd     0.00\n",
       "AgeHouse        0.00\n",
       "\n",
       "[77 rows x 1 columns]"
      ]
     },
     "execution_count": 623,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Checking percentage of missing values in columns\n",
    "(round(100*(df.isnull().sum()/len(df.index)),2)).to_frame('Nulls').sort_values(by='Nulls' , ascending=False)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### LotFrontage"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 624,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "count    1201.000000\n",
       "mean       70.049958\n",
       "std        24.284752\n",
       "min        21.000000\n",
       "25%        59.000000\n",
       "50%        69.000000\n",
       "75%        80.000000\n",
       "max       313.000000\n",
       "Name: LotFrontage, dtype: float64"
      ]
     },
     "execution_count": 624,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# We can see that LotFrontage column has 17.74% missing values\n",
    "# Let's see the distribution of the value of the LotFrontage column\n",
    "df['LotFrontage'].describe()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can see that mean and median are almost same (70) for LotFrontage column. Let us impute the missing values for LotFrontage with median because the column may have few outliers."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 625,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Imputing missing values of LotFrontage with median\n",
    "df.loc[np.isnan(df['LotFrontage']), 'LotFrontage'] = df['LotFrontage'].median()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### MasVnrType"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 626,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "count    1452.000000\n",
       "mean      103.685262\n",
       "std       181.066207\n",
       "min         0.000000\n",
       "25%         0.000000\n",
       "50%         0.000000\n",
       "75%       166.000000\n",
       "max      1600.000000\n",
       "Name: MasVnrArea, dtype: float64"
      ]
     },
     "execution_count": 626,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Treating the missing values for MasVnrArea column\n",
    "df['MasVnrArea'].describe()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can see that there is a huge range between the max and min value of MasVnrArea column. Also, the standard deviation is high. So, it is better to get rid of the records, which have missing values for MasVnrArea."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 627,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Deleting the rows for missing values in MasVnrArea\n",
    "df = df[~np.isnan(df['MasVnrArea'])]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "###### Electrical"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 628,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "SBrkr    1326\n",
       "FuseA      94\n",
       "FuseF      27\n",
       "FuseP       3\n",
       "Mix         1\n",
       "Name: Electrical, dtype: int64"
      ]
     },
     "execution_count": 628,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Treating missing values for Electrical column\n",
    "# Let us check the count for values in Electrical \n",
    "df['Electrical'].value_counts()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can see that the mode of the Electrical column is SBrkr as it has higher number of values. Lets impute the missing values in Electrical column with SBrkr."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 629,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Imputing Electrical column missing values with SBrkr\n",
    "df.loc[pd.isnull(df['Electrical']), ['Electrical']] = 'SBrkr'"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 630,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/html": [
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       "<style scoped>\n",
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       "    }\n",
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       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Nulls</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>Id</th>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>BedroomAbvGr</th>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>GarageType</th>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>FireplaceQu</th>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Fireplaces</th>\n",
       "      <td>0.0</td>\n",
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       "    <tr>\n",
       "      <th>Functional</th>\n",
       "      <td>0.0</td>\n",
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       "    <tr>\n",
       "      <th>TotRmsAbvGrd</th>\n",
       "      <td>0.0</td>\n",
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       "      <th>KitchenQual</th>\n",
       "      <td>0.0</td>\n",
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       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>HalfBath</th>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>CentralAir</th>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>FullBath</th>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>BsmtHalfBath</th>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>BsmtFullBath</th>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>GrLivArea</th>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>LowQualFinSF</th>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2ndFlrSF</th>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1stFlrSF</th>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>GarageFinish</th>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>GarageCars</th>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>GarageArea</th>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>GarageQual</th>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>SalePrice</th>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>SaleCondition</th>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>SaleType</th>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>MiscVal</th>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>MiscFeature</th>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Fence</th>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>PoolQC</th>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>PoolArea</th>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>...</th>\n",
       "      <td>...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>LandSlope</th>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Utilities</th>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Heating</th>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>LandContour</th>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>LotShape</th>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Alley</th>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Street</th>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>LotArea</th>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>LotFrontage</th>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>MSZoning</th>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>OverallCond</th>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>RoofStyle</th>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>RoofMatl</th>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Exterior1st</th>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>TotalBsmtSF</th>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>BsmtUnfSF</th>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>BsmtFinSF2</th>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>BsmtFinType2</th>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>BsmtFinSF1</th>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>BsmtFinType1</th>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>BsmtExposure</th>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>BsmtCond</th>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>BsmtQual</th>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Foundation</th>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>ExterCond</th>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>ExterQual</th>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>MasVnrArea</th>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>MasVnrType</th>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Exterior2nd</th>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>AgeHouse</th>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>77 rows × 1 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "               Nulls\n",
       "Id               0.0\n",
       "BedroomAbvGr     0.0\n",
       "GarageType       0.0\n",
       "FireplaceQu      0.0\n",
       "Fireplaces       0.0\n",
       "Functional       0.0\n",
       "TotRmsAbvGrd     0.0\n",
       "KitchenQual      0.0\n",
       "KitchenAbvGr     0.0\n",
       "HalfBath         0.0\n",
       "CentralAir       0.0\n",
       "FullBath         0.0\n",
       "BsmtHalfBath     0.0\n",
       "BsmtFullBath     0.0\n",
       "GrLivArea        0.0\n",
       "LowQualFinSF     0.0\n",
       "2ndFlrSF         0.0\n",
       "1stFlrSF         0.0\n",
       "GarageFinish     0.0\n",
       "GarageCars       0.0\n",
       "GarageArea       0.0\n",
       "GarageQual       0.0\n",
       "SalePrice        0.0\n",
       "SaleCondition    0.0\n",
       "SaleType         0.0\n",
       "MiscVal          0.0\n",
       "MiscFeature      0.0\n",
       "Fence            0.0\n",
       "PoolQC           0.0\n",
       "PoolArea         0.0\n",
       "...              ...\n",
       "LandSlope        0.0\n",
       "Utilities        0.0\n",
       "Heating          0.0\n",
       "LandContour      0.0\n",
       "LotShape         0.0\n",
       "Alley            0.0\n",
       "Street           0.0\n",
       "LotArea          0.0\n",
       "LotFrontage      0.0\n",
       "MSZoning         0.0\n",
       "OverallCond      0.0\n",
       "RoofStyle        0.0\n",
       "RoofMatl         0.0\n",
       "Exterior1st      0.0\n",
       "TotalBsmtSF      0.0\n",
       "BsmtUnfSF        0.0\n",
       "BsmtFinSF2       0.0\n",
       "BsmtFinType2     0.0\n",
       "BsmtFinSF1       0.0\n",
       "BsmtFinType1     0.0\n",
       "BsmtExposure     0.0\n",
       "BsmtCond         0.0\n",
       "BsmtQual         0.0\n",
       "Foundation       0.0\n",
       "ExterCond        0.0\n",
       "ExterQual        0.0\n",
       "MasVnrArea       0.0\n",
       "MasVnrType       0.0\n",
       "Exterior2nd      0.0\n",
       "AgeHouse         0.0\n",
       "\n",
       "[77 rows x 1 columns]"
      ]
     },
     "execution_count": 630,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Lets again check the percentage of missing values in columns\n",
    "(round(100*(df.isnull().sum()/len(df.index)),2)).to_frame('Nulls').sort_values(by='Nulls' , ascending=False)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can see that there is no missing values in any column now."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Outliers treatment"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 631,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "['LotFrontage', 'LotArea', 'MasVnrArea', 'BsmtFinSF1', 'BsmtFinSF2', 'BsmtUnfSF', 'TotalBsmtSF', '1stFlrSF', '2ndFlrSF', 'LowQualFinSF', 'GrLivArea', 'BsmtFullBath', 'BsmtHalfBath', 'FullBath', 'HalfBath', 'BedroomAbvGr', 'KitchenAbvGr', 'TotRmsAbvGrd', 'Fireplaces', 'GarageCars', 'GarageArea', 'WoodDeckSF', 'OpenPorchSF', 'EnclosedPorch', '3SsnPorch', 'ScreenPorch', 'PoolArea', 'MiscVal', 'SalePrice', 'AgeHouse']\n"
     ]
    }
   ],
   "source": [
    "# Numeric columns list\n",
    "numeric_cols = list(df.select_dtypes(include=['int64', 'float64']).columns)\n",
    "# Removing \"Id\" column\n",
    "numeric_cols.remove('Id')\n",
    "print(numeric_cols)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 632,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 1440x2160 with 30 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plotting the spread of the numeric columns\n",
    "plt.figure(figsize=(20,30))\n",
    "for i in enumerate(numeric_cols):\n",
    "    plt.subplot(8,4,i[0]+1)\n",
    "    sns.boxplot(x=i[1], data=df)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can see that there are outliers in few numeric columns. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Checking Data Imbalance"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Count the values of all the categorical variables"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 634,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Index(['MSSubClass', 'MSZoning', 'Street', 'Alley', 'LotShape', 'LandContour',\n",
       "       'Utilities', 'LotConfig', 'LandSlope', 'Neighborhood', 'Condition1',\n",
       "       'Condition2', 'BldgType', 'HouseStyle', 'OverallQual', 'OverallCond',\n",
       "       'RoofStyle', 'RoofMatl', 'Exterior1st', 'Exterior2nd', 'MasVnrType',\n",
       "       'ExterQual', 'ExterCond', 'Foundation', 'BsmtQual', 'BsmtCond',\n",
       "       'BsmtExposure', 'BsmtFinType1', 'BsmtFinType2', 'Heating', 'HeatingQC',\n",
       "       'CentralAir', 'Electrical', 'KitchenQual', 'Functional', 'FireplaceQu',\n",
       "       'GarageType', 'GarageFinish', 'GarageQual', 'GarageCond', 'PavedDrive',\n",
       "       'PoolQC', 'Fence', 'MiscFeature', 'SaleType', 'SaleCondition'],\n",
       "      dtype='object')"
      ]
     },
     "execution_count": 634,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# List of categorical columns\n",
    "category_cols = df.select_dtypes(include='object').columns\n",
    "category_cols"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 635,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "20     532\n",
      "60     296\n",
      "50     144\n",
      "120     86\n",
      "30      69\n",
      "160     63\n",
      "70      60\n",
      "80      58\n",
      "90      52\n",
      "190     30\n",
      "85      20\n",
      "75      16\n",
      "45      12\n",
      "180     10\n",
      "40       4\n",
      "Name: MSSubClass, dtype: int64\n",
      "RL         1146\n",
      "RM          218\n",
      "FV           62\n",
      "RH           16\n",
      "C (all)      10\n",
      "Name: MSZoning, dtype: int64\n",
      "Pave    1446\n",
      "Grvl       6\n",
      "Name: Street, dtype: int64\n",
      "No Alley    1362\n",
      "Grvl          50\n",
      "Pave          40\n",
      "Name: Alley, dtype: int64\n",
      "Reg    919\n",
      "IR1    482\n",
      "IR2     41\n",
      "IR3     10\n",
      "Name: LotShape, dtype: int64\n",
      "Lvl    1303\n",
      "Bnk      63\n",
      "HLS      50\n",
      "Low      36\n",
      "Name: LandContour, dtype: int64\n",
      "AllPub    1451\n",
      "NoSeWa       1\n",
      "Name: Utilities, dtype: int64\n",
      "Inside     1046\n",
      "Corner      262\n",
      "CulDSac      93\n",
      "FR2          47\n",
      "FR3           4\n",
      "Name: LotConfig, dtype: int64\n",
      "Gtl    1374\n",
      "Mod      65\n",
      "Sev      13\n",
      "Name: LandSlope, dtype: int64\n",
      "NAmes      225\n",
      "CollgCr    149\n",
      "OldTown    113\n",
      "Edwards    100\n",
      "Somerst     83\n",
      "Gilbert     78\n",
      "NridgHt     76\n",
      "Sawyer      74\n",
      "NWAmes      73\n",
      "BrkSide     58\n",
      "SawyerW     58\n",
      "Crawfor     50\n",
      "Mitchel     49\n",
      "NoRidge     41\n",
      "Timber      38\n",
      "IDOTRR      37\n",
      "ClearCr     28\n",
      "SWISU       25\n",
      "StoneBr     25\n",
      "Blmngtn     17\n",
      "MeadowV     17\n",
      "BrDale      16\n",
      "Veenker     11\n",
      "NPkVill      9\n",
      "Blueste      2\n",
      "Name: Neighborhood, dtype: int64\n",
      "Norm      1252\n",
      "Feedr       81\n",
      "Artery      48\n",
      "RRAn        26\n",
      "PosN        19\n",
      "RRAe        11\n",
      "PosA         8\n",
      "RRNn         5\n",
      "RRNe         2\n",
      "Name: Condition1, dtype: int64\n",
      "Norm      1437\n",
      "Feedr        6\n",
      "PosN         2\n",
      "RRNn         2\n",
      "Artery       2\n",
      "RRAn         1\n",
      "RRAe         1\n",
      "PosA         1\n",
      "Name: Condition2, dtype: int64\n",
      "1Fam      1213\n",
      "TwnhsE     113\n",
      "Duplex      52\n",
      "Twnhs       43\n",
      "2fmCon      31\n",
      "Name: BldgType, dtype: int64\n",
      "1Story    721\n",
      "2Story    442\n",
      "1.5Fin    154\n",
      "SLvl       65\n",
      "SFoyer     37\n",
      "1.5Unf     14\n",
      "2.5Unf     11\n",
      "2.5Fin      8\n",
      "Name: HouseStyle, dtype: int64\n",
      "5     397\n",
      "6     372\n",
      "7     315\n",
      "8     167\n",
      "4     116\n",
      "9      43\n",
      "3      20\n",
      "10     17\n",
      "2       3\n",
      "1       2\n",
      "Name: OverallQual, dtype: int64\n",
      "5    815\n",
      "6    251\n",
      "7    205\n",
      "8     72\n",
      "4     57\n",
      "3     24\n",
      "9     22\n",
      "2      5\n",
      "1      1\n",
      "Name: OverallCond, dtype: int64\n",
      "Gable      1134\n",
      "Hip         285\n",
      "Flat         13\n",
      "Gambrel      11\n",
      "Mansard       7\n",
      "Shed          2\n",
      "Name: RoofStyle, dtype: int64\n",
      "CompShg    1426\n",
      "Tar&Grv      11\n",
      "WdShngl       6\n",
      "WdShake       5\n",
      "Metal         1\n",
      "Roll          1\n",
      "Membran       1\n",
      "ClyTile       1\n",
      "Name: RoofMatl, dtype: int64\n",
      "VinylSd    510\n",
      "HdBoard    222\n",
      "MetalSd    220\n",
      "Wd Sdng    205\n",
      "Plywood    108\n",
      "CemntBd     59\n",
      "BrkFace     50\n",
      "WdShing     26\n",
      "Stucco      25\n",
      "AsbShng     20\n",
      "Stone        2\n",
      "BrkComm      2\n",
      "CBlock       1\n",
      "ImStucc      1\n",
      "AsphShn      1\n",
      "Name: Exterior1st, dtype: int64\n",
      "VinylSd    499\n",
      "MetalSd    214\n",
      "HdBoard    207\n",
      "Wd Sdng    197\n",
      "Plywood    142\n",
      "CmentBd     58\n",
      "Wd Shng     38\n",
      "Stucco      26\n",
      "BrkFace     25\n",
      "AsbShng     20\n",
      "ImStucc     10\n",
      "Brk Cmn      7\n",
      "Stone        4\n",
      "AsphShn      3\n",
      "CBlock       1\n",
      "Other        1\n",
      "Name: Exterior2nd, dtype: int64\n",
      "None       864\n",
      "BrkFace    445\n",
      "Stone      128\n",
      "BrkCmn      15\n",
      "Name: MasVnrType, dtype: int64\n",
      "TA    906\n",
      "Gd    481\n",
      "Ex     51\n",
      "Fa     14\n",
      "Name: ExterQual, dtype: int64\n",
      "TA    1274\n",
      "Gd     146\n",
      "Fa      28\n",
      "Ex       3\n",
      "Po       1\n",
      "Name: ExterCond, dtype: int64\n",
      "PConc     639\n",
      "CBlock    634\n",
      "BrkTil    146\n",
      "Slab       24\n",
      "Stone       6\n",
      "Wood        3\n",
      "Name: Foundation, dtype: int64\n",
      "TA             648\n",
      "Gd             612\n",
      "Ex             120\n",
      "No Basement     37\n",
      "Fa              35\n",
      "Name: BsmtQual, dtype: int64\n",
      "TA             1304\n",
      "Gd               64\n",
      "Fa               45\n",
      "No Basement      37\n",
      "Po                2\n",
      "Name: BsmtCond, dtype: int64\n",
      "No             946\n",
      "Av             221\n",
      "Gd             133\n",
      "Mn             114\n",
      "No Basement     38\n",
      "Name: BsmtExposure, dtype: int64\n",
      "Unf            428\n",
      "GLQ            413\n",
      "ALQ            220\n",
      "BLQ            148\n",
      "Rec            132\n",
      "LwQ             74\n",
      "No Basement     37\n",
      "Name: BsmtFinType1, dtype: int64\n",
      "Unf            1248\n",
      "Rec              54\n",
      "LwQ              46\n",
      "No Basement      38\n",
      "BLQ              33\n",
      "ALQ              19\n",
      "GLQ              14\n",
      "Name: BsmtFinType2, dtype: int64\n",
      "GasA     1420\n",
      "GasW       18\n",
      "Grav        7\n",
      "Wall        4\n",
      "OthW        2\n",
      "Floor       1\n",
      "Name: Heating, dtype: int64\n",
      "Ex    734\n",
      "TA    427\n",
      "Gd    241\n",
      "Fa     49\n",
      "Po      1\n",
      "Name: HeatingQC, dtype: int64\n",
      "Y    1357\n",
      "N      95\n",
      "Name: CentralAir, dtype: int64\n",
      "SBrkr    1327\n",
      "FuseA      94\n",
      "FuseF      27\n",
      "FuseP       3\n",
      "Mix         1\n",
      "Name: Electrical, dtype: int64\n",
      "TA    734\n",
      "Gd    580\n",
      "Ex     99\n",
      "Fa     39\n",
      "Name: KitchenQual, dtype: int64\n",
      "Typ     1353\n",
      "Min2      34\n",
      "Min1      31\n",
      "Mod       15\n",
      "Maj1      13\n",
      "Maj2       5\n",
      "Sev        1\n",
      "Name: Functional, dtype: int64\n",
      "No Fireplace    686\n",
      "Gd              378\n",
      "TA              311\n",
      "Fa               33\n",
      "Ex               24\n",
      "Po               20\n",
      "Name: FireplaceQu, dtype: int64\n",
      "Attchd       863\n",
      "Detchd       387\n",
      "BuiltIn       87\n",
      "No Garage     81\n",
      "Basment       19\n",
      "CarPort        9\n",
      "2Types         6\n",
      "Name: GarageType, dtype: int64\n",
      "Unf          605\n",
      "RFn          418\n",
      "Fin          348\n",
      "No Garage     81\n",
      "Name: GarageFinish, dtype: int64\n",
      "TA           1303\n",
      "No Garage      81\n",
      "Fa             48\n",
      "Gd             14\n",
      "Po              3\n",
      "Ex              3\n",
      "Name: GarageQual, dtype: int64\n",
      "TA           1318\n",
      "No Garage      81\n",
      "Fa             35\n",
      "Gd              9\n",
      "Po              7\n",
      "Ex              2\n",
      "Name: GarageCond, dtype: int64\n",
      "Y    1332\n",
      "N      90\n",
      "P      30\n",
      "Name: PavedDrive, dtype: int64\n",
      "No Pool    1445\n",
      "Gd            3\n",
      "Fa            2\n",
      "Ex            2\n",
      "Name: PoolQC, dtype: int64\n",
      "No Fence    1171\n",
      "MnPrv        157\n",
      "GdPrv         59\n",
      "GdWo          54\n",
      "MnWw          11\n",
      "Name: Fence, dtype: int64\n",
      "No MiscFeature    1398\n",
      "Shed                49\n",
      "Gar2                 2\n",
      "Othr                 2\n",
      "TenC                 1\n",
      "Name: MiscFeature, dtype: int64\n",
      "WD       1262\n",
      "New       119\n",
      "COD        43\n",
      "ConLD       9\n",
      "ConLw       5\n",
      "ConLI       5\n",
      "CWD         4\n",
      "Oth         3\n",
      "Con         2\n",
      "Name: SaleType, dtype: int64\n",
      "Normal     1194\n",
      "Partial     122\n",
      "Abnorml     101\n",
      "Family       20\n",
      "Alloca       11\n",
      "AdjLand       4\n",
      "Name: SaleCondition, dtype: int64\n"
     ]
    }
   ],
   "source": [
    "# Value count for each categorical column\n",
    "for col in list(category_cols):\n",
    "    print(df[col].value_counts())"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Dropping few coulms having very lesser types of values\n",
    "These column may bring very less variance in the data. Hence it is better to remove these columns."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 636,
   "metadata": {},
   "outputs": [],
   "source": [
    "df.drop(['Street','Alley','LandContour','Utilities','LandSlope','Condition2','BldgType','RoofMatl','BsmtCond','Heating',\n",
    "         'CentralAir','Electrical','Functional','GarageQual','GarageCond','PavedDrive','PoolQC','MiscFeature','SaleType','ExterCond','BsmtFinType2'],\n",
    "       axis=1, inplace=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Doing the following\n",
    "1. Combining the lower number of value counts into a new value called \"Other\".\n",
    "2. Creating the dummy variables for the categorical variables with multiple levels.\n",
    "3. Dropping the dummy column, which has very low number of values (E.g.:-Other)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "###### MSZoning"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 637,
   "metadata": {},
   "outputs": [],
   "source": [
    "df = df.replace({'MSZoning': {'C (all)':'Other', 'RH':'Other', 'FV':'Other'}})"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 638,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "RL       1146\n",
       "RM        218\n",
       "Other      88\n",
       "Name: MSZoning, dtype: int64"
      ]
     },
     "execution_count": 638,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df['MSZoning'].value_counts()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 639,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Creating dummy variable\n",
    "mz = pd.get_dummies(df['MSZoning'], prefix = 'MSZoning')\n",
    "# Dropping MSZoning_Other column\n",
    "mz = mz.drop('MSZoning_Other', axis=1)\n",
    "# Adding result to master df\n",
    "df = pd.concat([df, mz], axis=1)\n",
    "# Dropping original variable\n",
    "df = df.drop('MSZoning', axis=1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### LotShape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 640,
   "metadata": {},
   "outputs": [],
   "source": [
    "df = df.replace({'LotShape': {'IR2':'Other', 'IR3':'Other'}})"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 641,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Reg      919\n",
       "IR1      482\n",
       "Other     51\n",
       "Name: LotShape, dtype: int64"
      ]
     },
     "execution_count": 641,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df['LotShape'].value_counts()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 642,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Creating dummy variable\n",
    "ls = pd.get_dummies(df['LotShape'], prefix = 'LotShape')\n",
    "# Dropping Other column\n",
    "ls = ls.drop('LotShape_Other', axis=1)\n",
    "# Adding result to master df\n",
    "df = pd.concat([df, ls], axis=1)\n",
    "# Dropping original variable\n",
    "df = df.drop('LotShape', axis=1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### LotConfig"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 643,
   "metadata": {},
   "outputs": [],
   "source": [
    "df = df.replace({'LotConfig': {'CulDSac':'Other', 'FR2':'Other', 'FR3':'Other'}})"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 644,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Inside    1046\n",
       "Corner     262\n",
       "Other      144\n",
       "Name: LotConfig, dtype: int64"
      ]
     },
     "execution_count": 644,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df['LotConfig'].value_counts()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 645,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Creating dummy variable\n",
    "lc = pd.get_dummies(df['LotConfig'], prefix = 'LotConfig')\n",
    "# Dropping Other column\n",
    "lc = lc.drop('LotConfig_Other', axis=1)\n",
    "# Adding result to master df\n",
    "df = pd.concat([df, lc], axis=1)\n",
    "# Dropping original variable\n",
    "df = df.drop('LotConfig', axis=1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### Neighborhood"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 646,
   "metadata": {},
   "outputs": [],
   "source": [
    "df = df.replace({'Neighborhood': {'Blueste':'Other', 'NPkVill':'Other', 'Veenker':'Other', 'BrDale':'Other', 'Blmngtn':'Other',\n",
    "                                 'MeadowV':'Other', 'SWISU':'Other', 'StoneBr':'Other', 'ClearCr':'Other',\n",
    "                                 'IDOTRR':'Other', 'Timber':'Other', 'NoRidge':'Other', 'Mitchel':'Other'}})"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 647,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Creating dummy variable\n",
    "nh = pd.get_dummies(df['Neighborhood'], prefix = 'Neighborhood')\n",
    "# Dropping Other column\n",
    "nh = nh.drop('Neighborhood_Other', axis=1)\n",
    "# Adding result to master df\n",
    "df = pd.concat([df, nh], axis=1)\n",
    "# Dropping original variable\n",
    "df = df.drop('Neighborhood', axis=1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### Condition1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 648,
   "metadata": {},
   "outputs": [],
   "source": [
    "df = df.replace({'Condition1': {'RRNe':'Other', 'RRNn':'Other', 'PosA':'Other', 'RRAe':'Other', 'PosN':'Other',\n",
    "                               'RRAn':'Other', 'Artery':'Other'}})"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 649,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Creating dummy variable\n",
    "co = pd.get_dummies(df['Condition1'], prefix = 'Condition1')\n",
    "# Dropping Other column\n",
    "co = co.drop('Condition1_Other', axis=1)\n",
    "# Adding result to master df\n",
    "df = pd.concat([df, co], axis=1)\n",
    "# Dropping original variable\n",
    "df = df.drop('Condition1', axis=1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### HouseStyle"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 650,
   "metadata": {},
   "outputs": [],
   "source": [
    "df = df.replace({'HouseStyle': {'2.5Fin':'Other', '2.5Unf':'Other', '1.5Unf':'Other', 'SFoyer':'Other', 'SLvl':'Other'}})                               "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 651,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Creating dummy variable\n",
    "hs = pd.get_dummies(df['HouseStyle'], prefix = 'HouseStyle')\n",
    "# Dropping Other column\n",
    "hs = hs.drop('HouseStyle_Other', axis=1)\n",
    "# Adding result to master df\n",
    "df = pd.concat([df, hs], axis=1)\n",
    "# Dropping original variable\n",
    "df = df.drop('HouseStyle', axis=1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### OverallQual"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 652,
   "metadata": {},
   "outputs": [],
   "source": [
    "df = df.replace({'OverallQual': {1:'Other', 2:'Other', 10:'Other', 3:'Other', 9:'Other'}}) "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 653,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Creating dummy variable\n",
    "oq = pd.get_dummies(df['OverallQual'], prefix = 'OverallQual')\n",
    "# Dropping Other column\n",
    "oq = oq.drop('OverallQual_Other', axis=1)\n",
    "# Adding result to master df\n",
    "df = pd.concat([df, oq], axis=1)\n",
    "# Dropping original variable\n",
    "df = df.drop('OverallQual', axis=1)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### OverallCond"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 654,
   "metadata": {},
   "outputs": [],
   "source": [
    "df = df.replace({'OverallCond': {1:'Other', 2:'Other', 9:'Other', 3:'Other', 4:'Other'}})"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 655,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Creating dummy variable\n",
    "oc = pd.get_dummies(df['OverallCond'], prefix = 'OverallCond')\n",
    "# Dropping Other column\n",
    "oc = oc.drop('OverallCond_Other', axis=1)\n",
    "# Adding result to master df\n",
    "df = pd.concat([df, oc], axis=1)\n",
    "# Dropping original variable\n",
    "df = df.drop('OverallCond', axis=1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### RoofStyle"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 656,
   "metadata": {},
   "outputs": [],
   "source": [
    "df = df.replace({'RoofStyle': {'Shed':'Other', 'Mansard':'Other', 'Gambrel':'Other', 'Flat':'Other'}})"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 657,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Creating dummy variable\n",
    "rs = pd.get_dummies(df['RoofStyle'], prefix = 'RoofStyle')\n",
    "# Dropping Other column\n",
    "rs = rs.drop('RoofStyle_Other', axis=1)\n",
    "# Adding result to master df\n",
    "df = pd.concat([df, rs], axis=1)\n",
    "# Dropping original variable\n",
    "df = df.drop('RoofStyle', axis=1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### Exterior1st"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 658,
   "metadata": {},
   "outputs": [],
   "source": [
    "df = df.replace({'Exterior1st': {'ImStucc':'Other', 'AsphShn':'Other', 'CBlock':'Other', 'BrkComm':'Other','Stone':'Other',\n",
    "                              'AsbShng':'Other','Stucco':'Other','WdShing':'Other','BrkFace':'Other','CemntBd':'Other'}})"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 659,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Creating dummy variable\n",
    "ex = pd.get_dummies(df['Exterior1st'], prefix = 'Exterior1st')\n",
    "# Dropping Other column\n",
    "ex = ex.drop('Exterior1st_Other', axis=1)\n",
    "# Adding result to master df\n",
    "df = pd.concat([df, ex], axis=1)\n",
    "# Dropping original variable\n",
    "df = df.drop('Exterior1st', axis=1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### Exterior2nd"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 660,
   "metadata": {},
   "outputs": [],
   "source": [
    "df = df.replace({'Exterior2nd': {'CBlock':'Other', 'AsphShn':'Other', 'Stone':'Other', 'Brk Cmn':'Other','ImStucc':'Other',\n",
    "                              'AsbShng':'Other','BrkFace':'Other','Stucco':'Other','Wd Shng':'Other','CmentBd':'Other'}})"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 661,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Creating dummy variable\n",
    "ex2 = pd.get_dummies(df['Exterior2nd'], prefix = 'Exterior2nd')\n",
    "# Dropping Other column\n",
    "ex2 = ex2.drop('Exterior2nd_Other', axis=1)\n",
    "# Adding result to master df\n",
    "df = pd.concat([df, ex2], axis=1)\n",
    "# Dropping original variable\n",
    "df = df.drop('Exterior2nd', axis=1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### MasVnrType"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 662,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Creating dummy variable\n",
    "mv = pd.get_dummies(df['MasVnrType'], prefix = 'MasVnrType')\n",
    "# Dropping Other column\n",
    "mv = mv.drop('MasVnrType_BrkCmn', axis=1)\n",
    "# Adding result to master df\n",
    "df = pd.concat([df, mv], axis=1)\n",
    "# Dropping original variable\n",
    "df = df.drop('MasVnrType', axis=1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### ExterQual"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 663,
   "metadata": {},
   "outputs": [],
   "source": [
    "df = df.replace({'ExterQual': {'Fa':'Other', 'Ex':'Other'}})"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 664,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Creating dummy variable\n",
    "exq = pd.get_dummies(df['ExterQual'], prefix = 'ExterQual')\n",
    "# Dropping Other column\n",
    "exq = exq.drop('ExterQual_Other', axis=1)\n",
    "# Adding result to master df\n",
    "df = pd.concat([df, exq], axis=1)\n",
    "# Dropping original variable\n",
    "df = df.drop('ExterQual', axis=1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### Foundation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 665,
   "metadata": {},
   "outputs": [],
   "source": [
    "df = df.replace({'Foundation': {'Wood':'Other', 'Stone':'Other','Slab':'Other'}})"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 666,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Creating dummy variable\n",
    "fo = pd.get_dummies(df['Foundation'], prefix = 'Foundation')\n",
    "# Dropping Other column\n",
    "fo = fo.drop('Foundation_Other', axis=1)\n",
    "# Adding result to master df\n",
    "df = pd.concat([df, fo], axis=1)\n",
    "# Dropping original variable\n",
    "df = df.drop('Foundation', axis=1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### BsmtQual"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 667,
   "metadata": {},
   "outputs": [],
   "source": [
    "df = df.replace({'BsmtQual': {'Fa':'Other', 'No Basement':'Other'}})"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 668,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Creating dummy variable\n",
    "bq = pd.get_dummies(df['BsmtQual'], prefix = 'BsmtQual')\n",
    "# Dropping Other column\n",
    "bq = bq.drop('BsmtQual_Other', axis=1)\n",
    "# Adding result to master df\n",
    "df = pd.concat([df, bq], axis=1)\n",
    "# Dropping original variable\n",
    "df = df.drop('BsmtQual', axis=1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### BsmtExposure"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 669,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Creating dummy variable\n",
    "be = pd.get_dummies(df['BsmtExposure'], prefix = 'BsmtExposure')\n",
    "# Dropping Other column\n",
    "be = be.drop('BsmtExposure_No Basement', axis=1)\n",
    "# Adding result to master df\n",
    "df = pd.concat([df, be], axis=1)\n",
    "# Dropping original variable\n",
    "df = df.drop('BsmtExposure', axis=1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### BsmtFinType1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 670,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Creating dummy variable\n",
    "bf = pd.get_dummies(df['BsmtFinType1'], prefix = 'BsmtFinType1')\n",
    "# Dropping Other column\n",
    "bf = bf.drop('BsmtFinType1_No Basement', axis=1)\n",
    "# Adding result to master df\n",
    "df = pd.concat([df, bf], axis=1)\n",
    "# Dropping original variable\n",
    "df = df.drop('BsmtFinType1', axis=1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### HeatingQC"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 671,
   "metadata": {},
   "outputs": [],
   "source": [
    "df = df.replace({'HeatingQC': {'Fa':'Other', 'Po':'Other'}})"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 672,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Creating dummy variable\n",
    "hc = pd.get_dummies(df['HeatingQC'], prefix = 'HeatingQC')\n",
    "# Dropping Other column\n",
    "hc = hc.drop('HeatingQC_Other', axis=1)\n",
    "# Adding result to master df\n",
    "df = pd.concat([df, hc], axis=1)\n",
    "# Dropping original variable\n",
    "df = df.drop('HeatingQC', axis=1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### KitchenQual"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 673,
   "metadata": {},
   "outputs": [],
   "source": [
    "df = df.replace({'KitchenQual': {'Fa':'Other', 'Ex':'Other'}})"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 674,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Creating dummy variable\n",
    "kq = pd.get_dummies(df['KitchenQual'], prefix = 'KitchenQual')\n",
    "# Dropping Other column\n",
    "kq = kq.drop('KitchenQual_Other', axis=1)\n",
    "# Adding result to master df\n",
    "df = pd.concat([df, kq], axis=1)\n",
    "# Dropping original variable\n",
    "df = df.drop('KitchenQual', axis=1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### FireplaceQu"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 675,
   "metadata": {},
   "outputs": [],
   "source": [
    "df = df.replace({'FireplaceQu': {'Fa':'Other', 'Ex':'Other','Po':'Other'}})"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 676,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Creating dummy variable\n",
    "fq = pd.get_dummies(df['FireplaceQu'], prefix = 'FireplaceQu')\n",
    "# Dropping Other column\n",
    "fq = fq.drop('FireplaceQu_Other', axis=1)\n",
    "# Adding result to master df\n",
    "df = pd.concat([df, fq], axis=1)\n",
    "# Dropping original variable\n",
    "df = df.drop('FireplaceQu', axis=1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### GarageType"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 677,
   "metadata": {},
   "outputs": [],
   "source": [
    "df = df.replace({'GarageType': {'2Types':'Other', 'CarPort':'Other','Basment':'Other'}})"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 678,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Creating dummy variable\n",
    "gt = pd.get_dummies(df['GarageType'], prefix = 'GarageType')\n",
    "# Dropping Other column\n",
    "gt = gt.drop('GarageType_Other', axis=1)\n",
    "# Adding result to master df\n",
    "df = pd.concat([df, gt], axis=1)\n",
    "# Dropping original variable\n",
    "df = df.drop('GarageType', axis=1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### GarageFinish"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 679,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Creating dummy variable\n",
    "gf = pd.get_dummies(df['GarageFinish'], prefix = 'GarageFinish')\n",
    "# Dropping Other column\n",
    "gf = gf.drop('GarageFinish_No Garage', axis=1)\n",
    "# Adding result to master df\n",
    "df = pd.concat([df, gf], axis=1)\n",
    "# Dropping original variable\n",
    "df = df.drop('GarageFinish', axis=1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### Fence"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 680,
   "metadata": {},
   "outputs": [],
   "source": [
    "df = df.replace({'Fence': {'MnWw':'Other', 'GdWo':'Other','GdPrv':'Other'}})"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 681,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Creating dummy variable\n",
    "fe = pd.get_dummies(df['Fence'], prefix = 'Fence')\n",
    "# Dropping Other column\n",
    "fe = fe.drop('Fence_Other', axis=1)\n",
    "# Adding result to master df\n",
    "df = pd.concat([df, fe], axis=1)\n",
    "# Dropping original variable\n",
    "df = df.drop('Fence', axis=1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### SaleCondition"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 682,
   "metadata": {},
   "outputs": [],
   "source": [
    "df = df.replace({'SaleCondition': {'AdjLand':'Other', 'Alloca':'Other','Family':'Other'}})"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 683,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Creating dummy variable\n",
    "se = pd.get_dummies(df['SaleCondition'], prefix = 'SaleCondition')\n",
    "# Dropping Other column\n",
    "se = se.drop('SaleCondition_Other', axis=1)\n",
    "# Adding result to master df\n",
    "df = pd.concat([df, se], axis=1)\n",
    "# Dropping original variable\n",
    "df = df.drop('SaleCondition', axis=1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### MSSubClass\n",
    "As we can see that the type of dwelling are represented by their relevant code, we are combining the lower number of counts to an unique code call `100`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 684,
   "metadata": {},
   "outputs": [],
   "source": [
    "df = df.replace({'MSSubClass': {40:'Other', 180:'Other',45:'Other', 75:'Other',85:'Other',190:'Other',90:'Other',\n",
    "                               80:'Other',70:'Other',160:'Other',30:'Other'}})"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 685,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Creating dummy variable\n",
    "ms = pd.get_dummies(df['MSSubClass'], prefix = 'MSSubClass')\n",
    "# Dropping Other column\n",
    "ms = ms.drop('MSSubClass_Other', axis=1)\n",
    "# Adding result to master df\n",
    "df = pd.concat([df, ms], axis=1)\n",
    "# Dropping original variable\n",
    "df = df.drop('MSSubClass', axis=1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 686,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
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       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Id</th>\n",
       "      <th>LotFrontage</th>\n",
       "      <th>LotArea</th>\n",
       "      <th>MasVnrArea</th>\n",
       "      <th>BsmtFinSF1</th>\n",
       "      <th>BsmtFinSF2</th>\n",
       "      <th>BsmtUnfSF</th>\n",
       "      <th>TotalBsmtSF</th>\n",
       "      <th>1stFlrSF</th>\n",
       "      <th>2ndFlrSF</th>\n",
       "      <th>LowQualFinSF</th>\n",
       "      <th>GrLivArea</th>\n",
       "      <th>BsmtFullBath</th>\n",
       "      <th>BsmtHalfBath</th>\n",
       "      <th>FullBath</th>\n",
       "      <th>HalfBath</th>\n",
       "      <th>BedroomAbvGr</th>\n",
       "      <th>KitchenAbvGr</th>\n",
       "      <th>TotRmsAbvGrd</th>\n",
       "      <th>Fireplaces</th>\n",
       "      <th>GarageCars</th>\n",
       "      <th>GarageArea</th>\n",
       "      <th>WoodDeckSF</th>\n",
       "      <th>OpenPorchSF</th>\n",
       "      <th>EnclosedPorch</th>\n",
       "      <th>3SsnPorch</th>\n",
       "      <th>ScreenPorch</th>\n",
       "      <th>PoolArea</th>\n",
       "      <th>MiscVal</th>\n",
       "      <th>SalePrice</th>\n",
       "      <th>AgeHouse</th>\n",
       "      <th>MSZoning_RL</th>\n",
       "      <th>MSZoning_RM</th>\n",
       "      <th>LotShape_IR1</th>\n",
       "      <th>LotShape_Reg</th>\n",
       "      <th>LotConfig_Corner</th>\n",
       "      <th>LotConfig_Inside</th>\n",
       "      <th>Neighborhood_BrkSide</th>\n",
       "      <th>Neighborhood_CollgCr</th>\n",
       "      <th>Neighborhood_Crawfor</th>\n",
       "      <th>Neighborhood_Edwards</th>\n",
       "      <th>Neighborhood_Gilbert</th>\n",
       "      <th>Neighborhood_NAmes</th>\n",
       "      <th>Neighborhood_NWAmes</th>\n",
       "      <th>Neighborhood_NridgHt</th>\n",
       "      <th>Neighborhood_OldTown</th>\n",
       "      <th>Neighborhood_Sawyer</th>\n",
       "      <th>Neighborhood_SawyerW</th>\n",
       "      <th>Neighborhood_Somerst</th>\n",
       "      <th>Condition1_Feedr</th>\n",
       "      <th>Condition1_Norm</th>\n",
       "      <th>HouseStyle_1.5Fin</th>\n",
       "      <th>HouseStyle_1Story</th>\n",
       "      <th>HouseStyle_2Story</th>\n",
       "      <th>OverallQual_4</th>\n",
       "      <th>OverallQual_5</th>\n",
       "      <th>OverallQual_6</th>\n",
       "      <th>OverallQual_7</th>\n",
       "      <th>OverallQual_8</th>\n",
       "      <th>OverallCond_5</th>\n",
       "      <th>OverallCond_6</th>\n",
       "      <th>OverallCond_7</th>\n",
       "      <th>OverallCond_8</th>\n",
       "      <th>RoofStyle_Gable</th>\n",
       "      <th>RoofStyle_Hip</th>\n",
       "      <th>Exterior1st_HdBoard</th>\n",
       "      <th>Exterior1st_MetalSd</th>\n",
       "      <th>Exterior1st_Plywood</th>\n",
       "      <th>Exterior1st_VinylSd</th>\n",
       "      <th>Exterior1st_Wd Sdng</th>\n",
       "      <th>Exterior2nd_HdBoard</th>\n",
       "      <th>Exterior2nd_MetalSd</th>\n",
       "      <th>Exterior2nd_Plywood</th>\n",
       "      <th>Exterior2nd_VinylSd</th>\n",
       "      <th>Exterior2nd_Wd Sdng</th>\n",
       "      <th>MasVnrType_BrkFace</th>\n",
       "      <th>MasVnrType_None</th>\n",
       "      <th>MasVnrType_Stone</th>\n",
       "      <th>ExterQual_Gd</th>\n",
       "      <th>ExterQual_TA</th>\n",
       "      <th>Foundation_BrkTil</th>\n",
       "      <th>Foundation_CBlock</th>\n",
       "      <th>Foundation_PConc</th>\n",
       "      <th>BsmtQual_Ex</th>\n",
       "      <th>BsmtQual_Gd</th>\n",
       "      <th>BsmtQual_TA</th>\n",
       "      <th>BsmtExposure_Av</th>\n",
       "      <th>BsmtExposure_Gd</th>\n",
       "      <th>BsmtExposure_Mn</th>\n",
       "      <th>BsmtExposure_No</th>\n",
       "      <th>BsmtFinType1_ALQ</th>\n",
       "      <th>BsmtFinType1_BLQ</th>\n",
       "      <th>BsmtFinType1_GLQ</th>\n",
       "      <th>BsmtFinType1_LwQ</th>\n",
       "      <th>BsmtFinType1_Rec</th>\n",
       "      <th>BsmtFinType1_Unf</th>\n",
       "      <th>HeatingQC_Ex</th>\n",
       "      <th>HeatingQC_Gd</th>\n",
       "      <th>HeatingQC_TA</th>\n",
       "      <th>KitchenQual_Gd</th>\n",
       "      <th>KitchenQual_TA</th>\n",
       "      <th>FireplaceQu_Gd</th>\n",
       "      <th>FireplaceQu_No Fireplace</th>\n",
       "      <th>FireplaceQu_TA</th>\n",
       "      <th>GarageType_Attchd</th>\n",
       "      <th>GarageType_BuiltIn</th>\n",
       "      <th>GarageType_Detchd</th>\n",
       "      <th>GarageType_No Garage</th>\n",
       "      <th>GarageFinish_Fin</th>\n",
       "      <th>GarageFinish_RFn</th>\n",
       "      <th>GarageFinish_Unf</th>\n",
       "      <th>Fence_MnPrv</th>\n",
       "      <th>Fence_No Fence</th>\n",
       "      <th>SaleCondition_Abnorml</th>\n",
       "      <th>SaleCondition_Normal</th>\n",
       "      <th>SaleCondition_Partial</th>\n",
       "      <th>MSSubClass_20</th>\n",
       "      <th>MSSubClass_50</th>\n",
       "      <th>MSSubClass_60</th>\n",
       "      <th>MSSubClass_120</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>1</td>\n",
       "      <td>65.0</td>\n",
       "      <td>8450</td>\n",
       "      <td>196.0</td>\n",
       "      <td>706</td>\n",
       "      <td>0</td>\n",
       "      <td>150</td>\n",
       "      <td>856</td>\n",
       "      <td>856</td>\n",
       "      <td>854</td>\n",
       "      <td>0</td>\n",
       "      <td>1710</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "      <td>3</td>\n",
       "      <td>1</td>\n",
       "      <td>8</td>\n",
       "      <td>0</td>\n",
       "      <td>2</td>\n",
       "      <td>548</td>\n",
       "      <td>0</td>\n",
       "      <td>61</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>208500</td>\n",
       "      <td>5</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>2</td>\n",
       "      <td>80.0</td>\n",
       "      <td>9600</td>\n",
       "      <td>0.0</td>\n",
       "      <td>978</td>\n",
       "      <td>0</td>\n",
       "      <td>284</td>\n",
       "      <td>1262</td>\n",
       "      <td>1262</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1262</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>2</td>\n",
       "      <td>0</td>\n",
       "      <td>3</td>\n",
       "      <td>1</td>\n",
       "      <td>6</td>\n",
       "      <td>1</td>\n",
       "      <td>2</td>\n",
       "      <td>460</td>\n",
       "      <td>298</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>181500</td>\n",
       "      <td>31</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>3</td>\n",
       "      <td>68.0</td>\n",
       "      <td>11250</td>\n",
       "      <td>162.0</td>\n",
       "      <td>486</td>\n",
       "      <td>0</td>\n",
       "      <td>434</td>\n",
       "      <td>920</td>\n",
       "      <td>920</td>\n",
       "      <td>866</td>\n",
       "      <td>0</td>\n",
       "      <td>1786</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "      <td>3</td>\n",
       "      <td>1</td>\n",
       "      <td>6</td>\n",
       "      <td>1</td>\n",
       "      <td>2</td>\n",
       "      <td>608</td>\n",
       "      <td>0</td>\n",
       "      <td>42</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>223500</td>\n",
       "      <td>7</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>4</td>\n",
       "      <td>60.0</td>\n",
       "      <td>9550</td>\n",
       "      <td>0.0</td>\n",
       "      <td>216</td>\n",
       "      <td>0</td>\n",
       "      <td>540</td>\n",
       "      <td>756</td>\n",
       "      <td>961</td>\n",
       "      <td>756</td>\n",
       "      <td>0</td>\n",
       "      <td>1717</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>3</td>\n",
       "      <td>1</td>\n",
       "      <td>7</td>\n",
       "      <td>1</td>\n",
       "      <td>3</td>\n",
       "      <td>642</td>\n",
       "      <td>0</td>\n",
       "      <td>35</td>\n",
       "      <td>272</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>140000</td>\n",
       "      <td>91</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>5</td>\n",
       "      <td>84.0</td>\n",
       "      <td>14260</td>\n",
       "      <td>350.0</td>\n",
       "      <td>655</td>\n",
       "      <td>0</td>\n",
       "      <td>490</td>\n",
       "      <td>1145</td>\n",
       "      <td>1145</td>\n",
       "      <td>1053</td>\n",
       "      <td>0</td>\n",
       "      <td>2198</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "      <td>4</td>\n",
       "      <td>1</td>\n",
       "      <td>9</td>\n",
       "      <td>1</td>\n",
       "      <td>3</td>\n",
       "      <td>836</td>\n",
       "      <td>192</td>\n",
       "      <td>84</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>250000</td>\n",
       "      <td>8</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   Id  LotFrontage  LotArea  MasVnrArea  BsmtFinSF1  BsmtFinSF2  BsmtUnfSF  \\\n",
       "0   1         65.0     8450       196.0         706           0        150   \n",
       "1   2         80.0     9600         0.0         978           0        284   \n",
       "2   3         68.0    11250       162.0         486           0        434   \n",
       "3   4         60.0     9550         0.0         216           0        540   \n",
       "4   5         84.0    14260       350.0         655           0        490   \n",
       "\n",
       "   TotalBsmtSF  1stFlrSF  2ndFlrSF  LowQualFinSF  GrLivArea  BsmtFullBath  \\\n",
       "0          856       856       854             0       1710             1   \n",
       "1         1262      1262         0             0       1262             0   \n",
       "2          920       920       866             0       1786             1   \n",
       "3          756       961       756             0       1717             1   \n",
       "4         1145      1145      1053             0       2198             1   \n",
       "\n",
       "   BsmtHalfBath  FullBath  HalfBath  BedroomAbvGr  KitchenAbvGr  TotRmsAbvGrd  \\\n",
       "0             0         2         1             3             1             8   \n",
       "1             1         2         0             3             1             6   \n",
       "2             0         2         1             3             1             6   \n",
       "3             0         1         0             3             1             7   \n",
       "4             0         2         1             4             1             9   \n",
       "\n",
       "   Fireplaces  GarageCars  GarageArea  WoodDeckSF  OpenPorchSF  EnclosedPorch  \\\n",
       "0           0           2         548           0           61              0   \n",
       "1           1           2         460         298            0              0   \n",
       "2           1           2         608           0           42              0   \n",
       "3           1           3         642           0           35            272   \n",
       "4           1           3         836         192           84              0   \n",
       "\n",
       "   3SsnPorch  ScreenPorch  PoolArea  MiscVal  SalePrice  AgeHouse  \\\n",
       "0          0            0         0        0     208500         5   \n",
       "1          0            0         0        0     181500        31   \n",
       "2          0            0         0        0     223500         7   \n",
       "3          0            0         0        0     140000        91   \n",
       "4          0            0         0        0     250000         8   \n",
       "\n",
       "   MSZoning_RL  MSZoning_RM  LotShape_IR1  LotShape_Reg  LotConfig_Corner  \\\n",
       "0            1            0             0             1                 0   \n",
       "1            1            0             0             1                 0   \n",
       "2            1            0             1             0                 0   \n",
       "3            1            0             1             0                 1   \n",
       "4            1            0             1             0                 0   \n",
       "\n",
       "   LotConfig_Inside  Neighborhood_BrkSide  Neighborhood_CollgCr  \\\n",
       "0                 1                     0                     1   \n",
       "1                 0                     0                     0   \n",
       "2                 1                     0                     1   \n",
       "3                 0                     0                     0   \n",
       "4                 0                     0                     0   \n",
       "\n",
       "   Neighborhood_Crawfor  Neighborhood_Edwards  Neighborhood_Gilbert  \\\n",
       "0                     0                     0                     0   \n",
       "1                     0                     0                     0   \n",
       "2                     0                     0                     0   \n",
       "3                     1                     0                     0   \n",
       "4                     0                     0                     0   \n",
       "\n",
       "   Neighborhood_NAmes  Neighborhood_NWAmes  Neighborhood_NridgHt  \\\n",
       "0                   0                    0                     0   \n",
       "1                   0                    0                     0   \n",
       "2                   0                    0                     0   \n",
       "3                   0                    0                     0   \n",
       "4                   0                    0                     0   \n",
       "\n",
       "   Neighborhood_OldTown  Neighborhood_Sawyer  Neighborhood_SawyerW  \\\n",
       "0                     0                    0                     0   \n",
       "1                     0                    0                     0   \n",
       "2                     0                    0                     0   \n",
       "3                     0                    0                     0   \n",
       "4                     0                    0                     0   \n",
       "\n",
       "   Neighborhood_Somerst  Condition1_Feedr  Condition1_Norm  HouseStyle_1.5Fin  \\\n",
       "0                     0                 0                1                  0   \n",
       "1                     0                 1                0                  0   \n",
       "2                     0                 0                1                  0   \n",
       "3                     0                 0                1                  0   \n",
       "4                     0                 0                1                  0   \n",
       "\n",
       "   HouseStyle_1Story  HouseStyle_2Story  OverallQual_4  OverallQual_5  \\\n",
       "0                  0                  1              0              0   \n",
       "1                  1                  0              0              0   \n",
       "2                  0                  1              0              0   \n",
       "3                  0                  1              0              0   \n",
       "4                  0                  1              0              0   \n",
       "\n",
       "   OverallQual_6  OverallQual_7  OverallQual_8  OverallCond_5  OverallCond_6  \\\n",
       "0              0              1              0              1              0   \n",
       "1              1              0              0              0              0   \n",
       "2              0              1              0              1              0   \n",
       "3              0              1              0              1              0   \n",
       "4              0              0              1              1              0   \n",
       "\n",
       "   OverallCond_7  OverallCond_8  RoofStyle_Gable  RoofStyle_Hip  \\\n",
       "0              0              0                1              0   \n",
       "1              0              1                1              0   \n",
       "2              0              0                1              0   \n",
       "3              0              0                1              0   \n",
       "4              0              0                1              0   \n",
       "\n",
       "   Exterior1st_HdBoard  Exterior1st_MetalSd  Exterior1st_Plywood  \\\n",
       "0                    0                    0                    0   \n",
       "1                    0                    1                    0   \n",
       "2                    0                    0                    0   \n",
       "3                    0                    0                    0   \n",
       "4                    0                    0                    0   \n",
       "\n",
       "   Exterior1st_VinylSd  Exterior1st_Wd Sdng  Exterior2nd_HdBoard  \\\n",
       "0                    1                    0                    0   \n",
       "1                    0                    0                    0   \n",
       "2                    1                    0                    0   \n",
       "3                    0                    1                    0   \n",
       "4                    1                    0                    0   \n",
       "\n",
       "   Exterior2nd_MetalSd  Exterior2nd_Plywood  Exterior2nd_VinylSd  \\\n",
       "0                    0                    0                    1   \n",
       "1                    1                    0                    0   \n",
       "2                    0                    0                    1   \n",
       "3                    0                    0                    0   \n",
       "4                    0                    0                    1   \n",
       "\n",
       "   Exterior2nd_Wd Sdng  MasVnrType_BrkFace  MasVnrType_None  MasVnrType_Stone  \\\n",
       "0                    0                   1                0                 0   \n",
       "1                    0                   0                1                 0   \n",
       "2                    0                   1                0                 0   \n",
       "3                    0                   0                1                 0   \n",
       "4                    0                   1                0                 0   \n",
       "\n",
       "   ExterQual_Gd  ExterQual_TA  Foundation_BrkTil  Foundation_CBlock  \\\n",
       "0             1             0                  0                  0   \n",
       "1             0             1                  0                  1   \n",
       "2             1             0                  0                  0   \n",
       "3             0             1                  1                  0   \n",
       "4             1             0                  0                  0   \n",
       "\n",
       "   Foundation_PConc  BsmtQual_Ex  BsmtQual_Gd  BsmtQual_TA  BsmtExposure_Av  \\\n",
       "0                 1            0            1            0                0   \n",
       "1                 0            0            1            0                0   \n",
       "2                 1            0            1            0                0   \n",
       "3                 0            0            0            1                0   \n",
       "4                 1            0            1            0                1   \n",
       "\n",
       "   BsmtExposure_Gd  BsmtExposure_Mn  BsmtExposure_No  BsmtFinType1_ALQ  \\\n",
       "0                0                0                1                 0   \n",
       "1                1                0                0                 1   \n",
       "2                0                1                0                 0   \n",
       "3                0                0                1                 1   \n",
       "4                0                0                0                 0   \n",
       "\n",
       "   BsmtFinType1_BLQ  BsmtFinType1_GLQ  BsmtFinType1_LwQ  BsmtFinType1_Rec  \\\n",
       "0                 0                 1                 0                 0   \n",
       "1                 0                 0                 0                 0   \n",
       "2                 0                 1                 0                 0   \n",
       "3                 0                 0                 0                 0   \n",
       "4                 0                 1                 0                 0   \n",
       "\n",
       "   BsmtFinType1_Unf  HeatingQC_Ex  HeatingQC_Gd  HeatingQC_TA  KitchenQual_Gd  \\\n",
       "0                 0             1             0             0               1   \n",
       "1                 0             1             0             0               0   \n",
       "2                 0             1             0             0               1   \n",
       "3                 0             0             1             0               1   \n",
       "4                 0             1             0             0               1   \n",
       "\n",
       "   KitchenQual_TA  FireplaceQu_Gd  FireplaceQu_No Fireplace  FireplaceQu_TA  \\\n",
       "0               0               0                         1               0   \n",
       "1               1               0                         0               1   \n",
       "2               0               0                         0               1   \n",
       "3               0               1                         0               0   \n",
       "4               0               0                         0               1   \n",
       "\n",
       "   GarageType_Attchd  GarageType_BuiltIn  GarageType_Detchd  \\\n",
       "0                  1                   0                  0   \n",
       "1                  1                   0                  0   \n",
       "2                  1                   0                  0   \n",
       "3                  0                   0                  1   \n",
       "4                  1                   0                  0   \n",
       "\n",
       "   GarageType_No Garage  GarageFinish_Fin  GarageFinish_RFn  GarageFinish_Unf  \\\n",
       "0                     0                 0                 1                 0   \n",
       "1                     0                 0                 1                 0   \n",
       "2                     0                 0                 1                 0   \n",
       "3                     0                 0                 0                 1   \n",
       "4                     0                 0                 1                 0   \n",
       "\n",
       "   Fence_MnPrv  Fence_No Fence  SaleCondition_Abnorml  SaleCondition_Normal  \\\n",
       "0            0               1                      0                     1   \n",
       "1            0               1                      0                     1   \n",
       "2            0               1                      0                     1   \n",
       "3            0               1                      1                     0   \n",
       "4            0               1                      0                     1   \n",
       "\n",
       "   SaleCondition_Partial  MSSubClass_20  MSSubClass_50  MSSubClass_60  \\\n",
       "0                      0              0              0              1   \n",
       "1                      0              1              0              0   \n",
       "2                      0              0              0              1   \n",
       "3                      0              0              0              0   \n",
       "4                      0              0              0              1   \n",
       "\n",
       "   MSSubClass_120  \n",
       "0               0  \n",
       "1               0  \n",
       "2               0  \n",
       "3               0  \n",
       "4               0  "
      ]
     },
     "execution_count": 686,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 687,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(1452, 120)"
      ]
     },
     "execution_count": 687,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.shape"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can see that, we have 120 coulmns in the dataset."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Checking distribution of the target column `SalePrice`"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 688,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x10183588>"
      ]
     },
     "execution_count": 688,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.distplot(df['SalePrice'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 689,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "1.8840445160660748"
      ]
     },
     "execution_count": 689,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Skewness\n",
    "df['SalePrice'].skew()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can see that the distribution plot of the SalePrice column is little right skewed."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Step 2: - Preparing the data for modelling "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Test-Train Split"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 690,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Import library\n",
    "from sklearn.model_selection import train_test_split"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 691,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Dropping the Id column\n",
    "df = df.drop('Id', axis=1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 692,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Splitting data into train and test set with 80:20 ratio\n",
    "df_train, df_test = train_test_split(df, train_size=0.8, test_size=0.2, random_state=100)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 693,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(1161, 119)\n",
      "(291, 119)\n"
     ]
    }
   ],
   "source": [
    "print(df_train.shape)\n",
    "print(df_test.shape)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Feature Scaling"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 694,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Normalization method\n",
    "from sklearn.preprocessing import MinMaxScaler"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 695,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Instantiate the scaler\n",
    "scaler = MinMaxScaler()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 696,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>LotFrontage</th>\n",
       "      <th>LotArea</th>\n",
       "      <th>MasVnrArea</th>\n",
       "      <th>BsmtFinSF1</th>\n",
       "      <th>BsmtFinSF2</th>\n",
       "      <th>BsmtUnfSF</th>\n",
       "      <th>TotalBsmtSF</th>\n",
       "      <th>1stFlrSF</th>\n",
       "      <th>2ndFlrSF</th>\n",
       "      <th>LowQualFinSF</th>\n",
       "      <th>GrLivArea</th>\n",
       "      <th>BsmtFullBath</th>\n",
       "      <th>BsmtHalfBath</th>\n",
       "      <th>FullBath</th>\n",
       "      <th>HalfBath</th>\n",
       "      <th>BedroomAbvGr</th>\n",
       "      <th>KitchenAbvGr</th>\n",
       "      <th>TotRmsAbvGrd</th>\n",
       "      <th>Fireplaces</th>\n",
       "      <th>GarageCars</th>\n",
       "      <th>GarageArea</th>\n",
       "      <th>WoodDeckSF</th>\n",
       "      <th>OpenPorchSF</th>\n",
       "      <th>EnclosedPorch</th>\n",
       "      <th>3SsnPorch</th>\n",
       "      <th>ScreenPorch</th>\n",
       "      <th>PoolArea</th>\n",
       "      <th>MiscVal</th>\n",
       "      <th>SalePrice</th>\n",
       "      <th>AgeHouse</th>\n",
       "      <th>MSZoning_RL</th>\n",
       "      <th>MSZoning_RM</th>\n",
       "      <th>LotShape_IR1</th>\n",
       "      <th>LotShape_Reg</th>\n",
       "      <th>LotConfig_Corner</th>\n",
       "      <th>LotConfig_Inside</th>\n",
       "      <th>Neighborhood_BrkSide</th>\n",
       "      <th>Neighborhood_CollgCr</th>\n",
       "      <th>Neighborhood_Crawfor</th>\n",
       "      <th>Neighborhood_Edwards</th>\n",
       "      <th>Neighborhood_Gilbert</th>\n",
       "      <th>Neighborhood_NAmes</th>\n",
       "      <th>Neighborhood_NWAmes</th>\n",
       "      <th>Neighborhood_NridgHt</th>\n",
       "      <th>Neighborhood_OldTown</th>\n",
       "      <th>Neighborhood_Sawyer</th>\n",
       "      <th>Neighborhood_SawyerW</th>\n",
       "      <th>Neighborhood_Somerst</th>\n",
       "      <th>Condition1_Feedr</th>\n",
       "      <th>Condition1_Norm</th>\n",
       "      <th>HouseStyle_1.5Fin</th>\n",
       "      <th>HouseStyle_1Story</th>\n",
       "      <th>HouseStyle_2Story</th>\n",
       "      <th>OverallQual_4</th>\n",
       "      <th>OverallQual_5</th>\n",
       "      <th>OverallQual_6</th>\n",
       "      <th>OverallQual_7</th>\n",
       "      <th>OverallQual_8</th>\n",
       "      <th>OverallCond_5</th>\n",
       "      <th>OverallCond_6</th>\n",
       "      <th>OverallCond_7</th>\n",
       "      <th>OverallCond_8</th>\n",
       "      <th>RoofStyle_Gable</th>\n",
       "      <th>RoofStyle_Hip</th>\n",
       "      <th>Exterior1st_HdBoard</th>\n",
       "      <th>Exterior1st_MetalSd</th>\n",
       "      <th>Exterior1st_Plywood</th>\n",
       "      <th>Exterior1st_VinylSd</th>\n",
       "      <th>Exterior1st_Wd Sdng</th>\n",
       "      <th>Exterior2nd_HdBoard</th>\n",
       "      <th>Exterior2nd_MetalSd</th>\n",
       "      <th>Exterior2nd_Plywood</th>\n",
       "      <th>Exterior2nd_VinylSd</th>\n",
       "      <th>Exterior2nd_Wd Sdng</th>\n",
       "      <th>MasVnrType_BrkFace</th>\n",
       "      <th>MasVnrType_None</th>\n",
       "      <th>MasVnrType_Stone</th>\n",
       "      <th>ExterQual_Gd</th>\n",
       "      <th>ExterQual_TA</th>\n",
       "      <th>Foundation_BrkTil</th>\n",
       "      <th>Foundation_CBlock</th>\n",
       "      <th>Foundation_PConc</th>\n",
       "      <th>BsmtQual_Ex</th>\n",
       "      <th>BsmtQual_Gd</th>\n",
       "      <th>BsmtQual_TA</th>\n",
       "      <th>BsmtExposure_Av</th>\n",
       "      <th>BsmtExposure_Gd</th>\n",
       "      <th>BsmtExposure_Mn</th>\n",
       "      <th>BsmtExposure_No</th>\n",
       "      <th>BsmtFinType1_ALQ</th>\n",
       "      <th>BsmtFinType1_BLQ</th>\n",
       "      <th>BsmtFinType1_GLQ</th>\n",
       "      <th>BsmtFinType1_LwQ</th>\n",
       "      <th>BsmtFinType1_Rec</th>\n",
       "      <th>BsmtFinType1_Unf</th>\n",
       "      <th>HeatingQC_Ex</th>\n",
       "      <th>HeatingQC_Gd</th>\n",
       "      <th>HeatingQC_TA</th>\n",
       "      <th>KitchenQual_Gd</th>\n",
       "      <th>KitchenQual_TA</th>\n",
       "      <th>FireplaceQu_Gd</th>\n",
       "      <th>FireplaceQu_No Fireplace</th>\n",
       "      <th>FireplaceQu_TA</th>\n",
       "      <th>GarageType_Attchd</th>\n",
       "      <th>GarageType_BuiltIn</th>\n",
       "      <th>GarageType_Detchd</th>\n",
       "      <th>GarageType_No Garage</th>\n",
       "      <th>GarageFinish_Fin</th>\n",
       "      <th>GarageFinish_RFn</th>\n",
       "      <th>GarageFinish_Unf</th>\n",
       "      <th>Fence_MnPrv</th>\n",
       "      <th>Fence_No Fence</th>\n",
       "      <th>SaleCondition_Abnorml</th>\n",
       "      <th>SaleCondition_Normal</th>\n",
       "      <th>SaleCondition_Partial</th>\n",
       "      <th>MSSubClass_20</th>\n",
       "      <th>MSSubClass_50</th>\n",
       "      <th>MSSubClass_60</th>\n",
       "      <th>MSSubClass_120</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>744</th>\n",
       "      <td>0.068493</td>\n",
       "      <td>0.019140</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.129872</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.258562</td>\n",
       "      <td>0.218822</td>\n",
       "      <td>0.230151</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.188960</td>\n",
       "      <td>0.333333</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.666667</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.250</td>\n",
       "      <td>0.333333</td>\n",
       "      <td>0.250000</td>\n",
       "      <td>0.333333</td>\n",
       "      <td>0.50</td>\n",
       "      <td>0.325811</td>\n",
       "      <td>0.112019</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.126812</td>\n",
       "      <td>0.330709</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.204337</td>\n",
       "      <td>0.110294</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1184</th>\n",
       "      <td>0.099315</td>\n",
       "      <td>0.158139</td>\n",
       "      <td>0.141250</td>\n",
       "      <td>0.205351</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.176798</td>\n",
       "      <td>0.257283</td>\n",
       "      <td>0.284075</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.233233</td>\n",
       "      <td>0.333333</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.333333</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.375</td>\n",
       "      <td>0.333333</td>\n",
       "      <td>0.250000</td>\n",
       "      <td>0.666667</td>\n",
       "      <td>0.75</td>\n",
       "      <td>0.701693</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.502868</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.597727</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.213773</td>\n",
       "      <td>0.323529</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>369</th>\n",
       "      <td>0.164384</td>\n",
       "      <td>0.039870</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.012757</td>\n",
       "      <td>0.228926</td>\n",
       "      <td>0.313784</td>\n",
       "      <td>0.173977</td>\n",
       "      <td>0.218678</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.179540</td>\n",
       "      <td>0.333333</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.333333</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.375</td>\n",
       "      <td>0.333333</td>\n",
       "      <td>0.416667</td>\n",
       "      <td>0.333333</td>\n",
       "      <td>0.50</td>\n",
       "      <td>0.406206</td>\n",
       "      <td>0.424737</td>\n",
       "      <td>0.032505</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.413636</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.178989</td>\n",
       "      <td>0.375000</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>627</th>\n",
       "      <td>0.202055</td>\n",
       "      <td>0.038795</td>\n",
       "      <td>0.102500</td>\n",
       "      <td>0.119419</td>\n",
       "      <td>0.117125</td>\n",
       "      <td>0.149829</td>\n",
       "      <td>0.189198</td>\n",
       "      <td>0.272143</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.223436</td>\n",
       "      <td>0.333333</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.333333</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.375</td>\n",
       "      <td>0.333333</td>\n",
       "      <td>0.416667</td>\n",
       "      <td>0.666667</td>\n",
       "      <td>0.25</td>\n",
       "      <td>0.256700</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.342391</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.166315</td>\n",
       "      <td>0.404412</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
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       "      <td>1</td>\n",
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       "      <td>1</td>\n",
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       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
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       "      <td>0</td>\n",
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       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>517</th>\n",
       "      <td>0.198630</td>\n",
       "      <td>0.041637</td>\n",
       "      <td>0.575625</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.541096</td>\n",
       "      <td>0.206874</td>\n",
       "      <td>0.216384</td>\n",
       "      <td>0.516707</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.378674</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.0</td>\n",
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       "      <td>0.375</td>\n",
       "      <td>0.333333</td>\n",
       "      <td>0.416667</td>\n",
       "      <td>0.333333</td>\n",
       "      <td>0.75</td>\n",
       "      <td>0.626939</td>\n",
       "      <td>0.256709</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.324039</td>\n",
       "      <td>0.095588</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
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       "      <td>0</td>\n",
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       "      <td>0</td>\n",
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       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
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       "      <td>1</td>\n",
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       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "      LotFrontage   LotArea  MasVnrArea  BsmtFinSF1  BsmtFinSF2  BsmtUnfSF  \\\n",
       "744      0.068493  0.019140    0.000000    0.129872    0.000000   0.258562   \n",
       "1184     0.099315  0.158139    0.141250    0.205351    0.000000   0.176798   \n",
       "369      0.164384  0.039870    0.000000    0.012757    0.228926   0.313784   \n",
       "627      0.202055  0.038795    0.102500    0.119419    0.117125   0.149829   \n",
       "517      0.198630  0.041637    0.575625    0.000000    0.000000   0.541096   \n",
       "\n",
       "      TotalBsmtSF  1stFlrSF  2ndFlrSF  LowQualFinSF  GrLivArea  BsmtFullBath  \\\n",
       "744      0.218822  0.230151  0.000000           0.0   0.188960      0.333333   \n",
       "1184     0.257283  0.284075  0.000000           0.0   0.233233      0.333333   \n",
       "369      0.173977  0.218678  0.000000           0.0   0.179540      0.333333   \n",
       "627      0.189198  0.272143  0.000000           0.0   0.223436      0.333333   \n",
       "517      0.206874  0.216384  0.516707           0.0   0.378674      0.000000   \n",
       "\n",
       "      BsmtHalfBath  FullBath  HalfBath  BedroomAbvGr  KitchenAbvGr  \\\n",
       "744            0.0  0.666667       0.0         0.250      0.333333   \n",
       "1184           0.0  0.333333       0.5         0.375      0.333333   \n",
       "369            0.0  0.333333       0.0         0.375      0.333333   \n",
       "627            0.0  0.333333       0.0         0.375      0.333333   \n",
       "517            0.0  0.666667       0.5         0.375      0.333333   \n",
       "\n",
       "      TotRmsAbvGrd  Fireplaces  GarageCars  GarageArea  WoodDeckSF  \\\n",
       "744       0.250000    0.333333        0.50    0.325811    0.112019   \n",
       "1184      0.250000    0.666667        0.75    0.701693    0.000000   \n",
       "369       0.416667    0.333333        0.50    0.406206    0.424737   \n",
       "627       0.416667    0.666667        0.25    0.256700    0.000000   \n",
       "517       0.416667    0.333333        0.75    0.626939    0.256709   \n",
       "\n",
       "      OpenPorchSF  EnclosedPorch  3SsnPorch  ScreenPorch  PoolArea  MiscVal  \\\n",
       "744      0.000000       0.126812   0.330709     0.000000       0.0      0.0   \n",
       "1184     0.502868       0.000000   0.000000     0.597727       0.0      0.0   \n",
       "369      0.032505       0.000000   0.000000     0.413636       0.0      0.0   \n",
       "627      0.000000       0.342391   0.000000     0.000000       0.0      0.0   \n",
       "517      0.000000       0.000000   0.000000     0.000000       0.0      0.0   \n",
       "\n",
       "      SalePrice  AgeHouse  MSZoning_RL  MSZoning_RM  LotShape_IR1  \\\n",
       "744    0.204337  0.110294            1            0             1   \n",
       "1184   0.213773  0.323529            1            0             0   \n",
       "369    0.178989  0.375000            1            0             1   \n",
       "627    0.166315  0.404412            1            0             0   \n",
       "517    0.324039  0.095588            1            0             1   \n",
       "\n",
       "      LotShape_Reg  LotConfig_Corner  LotConfig_Inside  Neighborhood_BrkSide  \\\n",
       "744              0                 0                 1                     0   \n",
       "1184             1                 0                 1                     0   \n",
       "369              0                 1                 0                     0   \n",
       "627              1                 0                 1                     0   \n",
       "517              0                 0                 1                     0   \n",
       "\n",
       "      Neighborhood_CollgCr  Neighborhood_Crawfor  Neighborhood_Edwards  \\\n",
       "744                      0                     0                     0   \n",
       "1184                     0                     0                     0   \n",
       "369                      0                     0                     0   \n",
       "627                      0                     0                     0   \n",
       "517                      0                     0                     0   \n",
       "\n",
       "      Neighborhood_Gilbert  Neighborhood_NAmes  Neighborhood_NWAmes  \\\n",
       "744                      0                   0                    0   \n",
       "1184                     0                   0                    0   \n",
       "369                      0                   1                    0   \n",
       "627                      0                   1                    0   \n",
       "517                      0                   0                    0   \n",
       "\n",
       "      Neighborhood_NridgHt  Neighborhood_OldTown  Neighborhood_Sawyer  \\\n",
       "744                      0                     0                    0   \n",
       "1184                     0                     0                    0   \n",
       "369                      0                     0                    0   \n",
       "627                      0                     0                    0   \n",
       "517                      0                     0                    0   \n",
       "\n",
       "      Neighborhood_SawyerW  Neighborhood_Somerst  Condition1_Feedr  \\\n",
       "744                      0                     0                 0   \n",
       "1184                     0                     0                 0   \n",
       "369                      0                     0                 0   \n",
       "627                      0                     0                 0   \n",
       "517                      0                     0                 0   \n",
       "\n",
       "      Condition1_Norm  HouseStyle_1.5Fin  HouseStyle_1Story  \\\n",
       "744                 1                  0                  1   \n",
       "1184                1                  0                  1   \n",
       "369                 1                  0                  1   \n",
       "627                 1                  0                  0   \n",
       "517                 1                  0                  0   \n",
       "\n",
       "      HouseStyle_2Story  OverallQual_4  OverallQual_5  OverallQual_6  \\\n",
       "744                   0              0              0              0   \n",
       "1184                  0              0              1              0   \n",
       "369                   0              0              1              0   \n",
       "627                   0              0              0              1   \n",
       "517                   1              0              0              0   \n",
       "\n",
       "      OverallQual_7  OverallQual_8  OverallCond_5  OverallCond_6  \\\n",
       "744               0              1              1              0   \n",
       "1184              0              0              0              0   \n",
       "369               0              0              0              0   \n",
       "627               0              0              0              1   \n",
       "517               1              0              1              0   \n",
       "\n",
       "      OverallCond_7  OverallCond_8  RoofStyle_Gable  RoofStyle_Hip  \\\n",
       "744               0              0                1              0   \n",
       "1184              0              0                0              1   \n",
       "369               1              0                1              0   \n",
       "627               0              0                1              0   \n",
       "517               0              0                1              0   \n",
       "\n",
       "      Exterior1st_HdBoard  Exterior1st_MetalSd  Exterior1st_Plywood  \\\n",
       "744                     1                    0                    0   \n",
       "1184                    0                    1                    0   \n",
       "369                     0                    0                    0   \n",
       "627                     0                    0                    0   \n",
       "517                     0                    0                    0   \n",
       "\n",
       "      Exterior1st_VinylSd  Exterior1st_Wd Sdng  Exterior2nd_HdBoard  \\\n",
       "744                     0                    0                    1   \n",
       "1184                    0                    0                    0   \n",
       "369                     0                    1                    0   \n",
       "627                     0                    0                    0   \n",
       "517                     1                    0                    0   \n",
       "\n",
       "      Exterior2nd_MetalSd  Exterior2nd_Plywood  Exterior2nd_VinylSd  \\\n",
       "744                     0                    0                    0   \n",
       "1184                    1                    0                    0   \n",
       "369                     0                    0                    0   \n",
       "627                     0                    0                    0   \n",
       "517                     0                    0                    1   \n",
       "\n",
       "      Exterior2nd_Wd Sdng  MasVnrType_BrkFace  MasVnrType_None  \\\n",
       "744                     0                   0                1   \n",
       "1184                    0                   1                0   \n",
       "369                     1                   0                1   \n",
       "627                     0                   1                0   \n",
       "517                     0                   1                0   \n",
       "\n",
       "      MasVnrType_Stone  ExterQual_Gd  ExterQual_TA  Foundation_BrkTil  \\\n",
       "744                  0             1             0                  0   \n",
       "1184                 0             0             1                  0   \n",
       "369                  0             0             1                  0   \n",
       "627                  0             0             1                  0   \n",
       "517                  0             1             0                  0   \n",
       "\n",
       "      Foundation_CBlock  Foundation_PConc  BsmtQual_Ex  BsmtQual_Gd  \\\n",
       "744                   0                 1            0            1   \n",
       "1184                  1                 0            0            0   \n",
       "369                   1                 0            0            0   \n",
       "627                   1                 0            0            0   \n",
       "517                   0                 1            0            1   \n",
       "\n",
       "      BsmtQual_TA  BsmtExposure_Av  BsmtExposure_Gd  BsmtExposure_Mn  \\\n",
       "744             0                0                0                0   \n",
       "1184            1                0                1                0   \n",
       "369             1                0                0                0   \n",
       "627             1                1                0                0   \n",
       "517             0                0                0                0   \n",
       "\n",
       "      BsmtExposure_No  BsmtFinType1_ALQ  BsmtFinType1_BLQ  BsmtFinType1_GLQ  \\\n",
       "744                 1                 0                 0                 1   \n",
       "1184                0                 0                 0                 0   \n",
       "369                 1                 1                 0                 0   \n",
       "627                 0                 0                 1                 0   \n",
       "517                 1                 0                 0                 0   \n",
       "\n",
       "      BsmtFinType1_LwQ  BsmtFinType1_Rec  BsmtFinType1_Unf  HeatingQC_Ex  \\\n",
       "744                  0                 0                 0             0   \n",
       "1184                 0                 1                 0             0   \n",
       "369                  0                 0                 0             1   \n",
       "627                  0                 0                 0             1   \n",
       "517                  0                 0                 1             1   \n",
       "\n",
       "      HeatingQC_Gd  HeatingQC_TA  KitchenQual_Gd  KitchenQual_TA  \\\n",
       "744              1             0               1               0   \n",
       "1184             1             0               0               1   \n",
       "369              0             0               1               0   \n",
       "627              0             0               0               1   \n",
       "517              0             0               1               0   \n",
       "\n",
       "      FireplaceQu_Gd  FireplaceQu_No Fireplace  FireplaceQu_TA  \\\n",
       "744                0                         0               1   \n",
       "1184               0                         0               1   \n",
       "369                1                         0               0   \n",
       "627                1                         0               0   \n",
       "517                0                         0               1   \n",
       "\n",
       "      GarageType_Attchd  GarageType_BuiltIn  GarageType_Detchd  \\\n",
       "744                   1                   0                  0   \n",
       "1184                  0                   0                  0   \n",
       "369                   0                   0                  1   \n",
       "627                   0                   0                  0   \n",
       "517                   1                   0                  0   \n",
       "\n",
       "      GarageType_No Garage  GarageFinish_Fin  GarageFinish_RFn  \\\n",
       "744                      0                 0                 1   \n",
       "1184                     0                 0                 1   \n",
       "369                      0                 1                 0   \n",
       "627                      0                 0                 1   \n",
       "517                      0                 0                 1   \n",
       "\n",
       "      GarageFinish_Unf  Fence_MnPrv  Fence_No Fence  SaleCondition_Abnorml  \\\n",
       "744                  0            0               1                      0   \n",
       "1184                 0            0               1                      0   \n",
       "369                  0            0               1                      0   \n",
       "627                  0            0               1                      0   \n",
       "517                  0            0               1                      0   \n",
       "\n",
       "      SaleCondition_Normal  SaleCondition_Partial  MSSubClass_20  \\\n",
       "744                      1                      0              0   \n",
       "1184                     1                      0              1   \n",
       "369                      1                      0              1   \n",
       "627                      1                      0              0   \n",
       "517                      1                      0              0   \n",
       "\n",
       "      MSSubClass_50  MSSubClass_60  MSSubClass_120  \n",
       "744               0              0               1  \n",
       "1184              0              0               0  \n",
       "369               0              0               0  \n",
       "627               0              0               0  \n",
       "517               0              1               0  "
      ]
     },
     "execution_count": 696,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Sclaing only the numeric variables. We don't need to scale the binary variables as they are already scaled into 0 and 1\n",
    "# Numeric columns list\n",
    "numeric_cols = list(df_train.select_dtypes(include=['int64', 'float64']).columns)\n",
    "# Fit the data into scaler and transform\n",
    "df_train[numeric_cols] = scaler.fit_transform(df_train[numeric_cols])\n",
    "df_train.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 697,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>LotFrontage</th>\n",
       "      <th>LotArea</th>\n",
       "      <th>MasVnrArea</th>\n",
       "      <th>BsmtFinSF1</th>\n",
       "      <th>BsmtFinSF2</th>\n",
       "      <th>BsmtUnfSF</th>\n",
       "      <th>TotalBsmtSF</th>\n",
       "      <th>1stFlrSF</th>\n",
       "      <th>2ndFlrSF</th>\n",
       "      <th>LowQualFinSF</th>\n",
       "      <th>GrLivArea</th>\n",
       "      <th>BsmtFullBath</th>\n",
       "      <th>BsmtHalfBath</th>\n",
       "      <th>FullBath</th>\n",
       "      <th>HalfBath</th>\n",
       "      <th>BedroomAbvGr</th>\n",
       "      <th>KitchenAbvGr</th>\n",
       "      <th>TotRmsAbvGrd</th>\n",
       "      <th>Fireplaces</th>\n",
       "      <th>GarageCars</th>\n",
       "      <th>GarageArea</th>\n",
       "      <th>WoodDeckSF</th>\n",
       "      <th>OpenPorchSF</th>\n",
       "      <th>EnclosedPorch</th>\n",
       "      <th>3SsnPorch</th>\n",
       "      <th>ScreenPorch</th>\n",
       "      <th>PoolArea</th>\n",
       "      <th>MiscVal</th>\n",
       "      <th>SalePrice</th>\n",
       "      <th>AgeHouse</th>\n",
       "      <th>MSZoning_RL</th>\n",
       "      <th>MSZoning_RM</th>\n",
       "      <th>LotShape_IR1</th>\n",
       "      <th>LotShape_Reg</th>\n",
       "      <th>LotConfig_Corner</th>\n",
       "      <th>LotConfig_Inside</th>\n",
       "      <th>Neighborhood_BrkSide</th>\n",
       "      <th>Neighborhood_CollgCr</th>\n",
       "      <th>Neighborhood_Crawfor</th>\n",
       "      <th>Neighborhood_Edwards</th>\n",
       "      <th>Neighborhood_Gilbert</th>\n",
       "      <th>Neighborhood_NAmes</th>\n",
       "      <th>Neighborhood_NWAmes</th>\n",
       "      <th>Neighborhood_NridgHt</th>\n",
       "      <th>Neighborhood_OldTown</th>\n",
       "      <th>Neighborhood_Sawyer</th>\n",
       "      <th>Neighborhood_SawyerW</th>\n",
       "      <th>Neighborhood_Somerst</th>\n",
       "      <th>Condition1_Feedr</th>\n",
       "      <th>Condition1_Norm</th>\n",
       "      <th>HouseStyle_1.5Fin</th>\n",
       "      <th>HouseStyle_1Story</th>\n",
       "      <th>HouseStyle_2Story</th>\n",
       "      <th>OverallQual_4</th>\n",
       "      <th>OverallQual_5</th>\n",
       "      <th>OverallQual_6</th>\n",
       "      <th>OverallQual_7</th>\n",
       "      <th>OverallQual_8</th>\n",
       "      <th>OverallCond_5</th>\n",
       "      <th>OverallCond_6</th>\n",
       "      <th>OverallCond_7</th>\n",
       "      <th>OverallCond_8</th>\n",
       "      <th>RoofStyle_Gable</th>\n",
       "      <th>RoofStyle_Hip</th>\n",
       "      <th>Exterior1st_HdBoard</th>\n",
       "      <th>Exterior1st_MetalSd</th>\n",
       "      <th>Exterior1st_Plywood</th>\n",
       "      <th>Exterior1st_VinylSd</th>\n",
       "      <th>Exterior1st_Wd Sdng</th>\n",
       "      <th>Exterior2nd_HdBoard</th>\n",
       "      <th>Exterior2nd_MetalSd</th>\n",
       "      <th>Exterior2nd_Plywood</th>\n",
       "      <th>Exterior2nd_VinylSd</th>\n",
       "      <th>Exterior2nd_Wd Sdng</th>\n",
       "      <th>MasVnrType_BrkFace</th>\n",
       "      <th>MasVnrType_None</th>\n",
       "      <th>MasVnrType_Stone</th>\n",
       "      <th>ExterQual_Gd</th>\n",
       "      <th>ExterQual_TA</th>\n",
       "      <th>Foundation_BrkTil</th>\n",
       "      <th>Foundation_CBlock</th>\n",
       "      <th>Foundation_PConc</th>\n",
       "      <th>BsmtQual_Ex</th>\n",
       "      <th>BsmtQual_Gd</th>\n",
       "      <th>BsmtQual_TA</th>\n",
       "      <th>BsmtExposure_Av</th>\n",
       "      <th>BsmtExposure_Gd</th>\n",
       "      <th>BsmtExposure_Mn</th>\n",
       "      <th>BsmtExposure_No</th>\n",
       "      <th>BsmtFinType1_ALQ</th>\n",
       "      <th>BsmtFinType1_BLQ</th>\n",
       "      <th>BsmtFinType1_GLQ</th>\n",
       "      <th>BsmtFinType1_LwQ</th>\n",
       "      <th>BsmtFinType1_Rec</th>\n",
       "      <th>BsmtFinType1_Unf</th>\n",
       "      <th>HeatingQC_Ex</th>\n",
       "      <th>HeatingQC_Gd</th>\n",
       "      <th>HeatingQC_TA</th>\n",
       "      <th>KitchenQual_Gd</th>\n",
       "      <th>KitchenQual_TA</th>\n",
       "      <th>FireplaceQu_Gd</th>\n",
       "      <th>FireplaceQu_No Fireplace</th>\n",
       "      <th>FireplaceQu_TA</th>\n",
       "      <th>GarageType_Attchd</th>\n",
       "      <th>GarageType_BuiltIn</th>\n",
       "      <th>GarageType_Detchd</th>\n",
       "      <th>GarageType_No Garage</th>\n",
       "      <th>GarageFinish_Fin</th>\n",
       "      <th>GarageFinish_RFn</th>\n",
       "      <th>GarageFinish_Unf</th>\n",
       "      <th>Fence_MnPrv</th>\n",
       "      <th>Fence_No Fence</th>\n",
       "      <th>SaleCondition_Abnorml</th>\n",
       "      <th>SaleCondition_Normal</th>\n",
       "      <th>SaleCondition_Partial</th>\n",
       "      <th>MSSubClass_20</th>\n",
       "      <th>MSSubClass_50</th>\n",
       "      <th>MSSubClass_60</th>\n",
       "      <th>MSSubClass_120</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>count</th>\n",
       "      <td>1161.000000</td>\n",
       "      <td>1161.000000</td>\n",
       "      <td>1161.000000</td>\n",
       "      <td>1161.000000</td>\n",
       "      <td>1161.000000</td>\n",
       "      <td>1161.000000</td>\n",
       "      <td>1161.000000</td>\n",
       "      <td>1161.000000</td>\n",
       "      <td>1161.000000</td>\n",
       "      <td>1161.000000</td>\n",
       "      <td>1161.000000</td>\n",
       "      <td>1161.000000</td>\n",
       "      <td>1161.000000</td>\n",
       "      <td>1161.000000</td>\n",
       "      <td>1161.000000</td>\n",
       "      <td>1161.000000</td>\n",
       "      <td>1161.000000</td>\n",
       "      <td>1161.000000</td>\n",
       "      <td>1161.000000</td>\n",
       "      <td>1161.000000</td>\n",
       "      <td>1161.000000</td>\n",
       "      <td>1161.000000</td>\n",
       "      <td>1161.000000</td>\n",
       "      <td>1161.000000</td>\n",
       "      <td>1161.000000</td>\n",
       "      <td>1161.000000</td>\n",
       "      <td>1161.000000</td>\n",
       "      <td>1161.000000</td>\n",
       "      <td>1161.000000</td>\n",
       "      <td>1161.000000</td>\n",
       "      <td>1161.000000</td>\n",
       "      <td>1161.000000</td>\n",
       "      <td>1161.000000</td>\n",
       "      <td>1161.000000</td>\n",
       "      <td>1161.000000</td>\n",
       "      <td>1161.000000</td>\n",
       "      <td>1161.000000</td>\n",
       "      <td>1161.000000</td>\n",
       "      <td>1161.000000</td>\n",
       "      <td>1161.000000</td>\n",
       "      <td>1161.000000</td>\n",
       "      <td>1161.000000</td>\n",
       "      <td>1161.000000</td>\n",
       "      <td>1161.000000</td>\n",
       "      <td>1161.000000</td>\n",
       "      <td>1161.000000</td>\n",
       "      <td>1161.000000</td>\n",
       "      <td>1161.000000</td>\n",
       "      <td>1161.000000</td>\n",
       "      <td>1161.000000</td>\n",
       "      <td>1161.000000</td>\n",
       "      <td>1161.000000</td>\n",
       "      <td>1161.000000</td>\n",
       "      <td>1161.000000</td>\n",
       "      <td>1161.000000</td>\n",
       "      <td>1161.000000</td>\n",
       "      <td>1161.000000</td>\n",
       "      <td>1161.000000</td>\n",
       "      <td>1161.000000</td>\n",
       "      <td>1161.000000</td>\n",
       "      <td>1161.000000</td>\n",
       "      <td>1161.000000</td>\n",
       "      <td>1161.000000</td>\n",
       "      <td>1161.000000</td>\n",
       "      <td>1161.000000</td>\n",
       "      <td>1161.000000</td>\n",
       "      <td>1161.000000</td>\n",
       "      <td>1161.000000</td>\n",
       "      <td>1161.000000</td>\n",
       "      <td>1161.000000</td>\n",
       "      <td>1161.000000</td>\n",
       "      <td>1161.000000</td>\n",
       "      <td>1161.000000</td>\n",
       "      <td>1161.000000</td>\n",
       "      <td>1161.000000</td>\n",
       "      <td>1161.000000</td>\n",
       "      <td>1161.000000</td>\n",
       "      <td>1161.000000</td>\n",
       "      <td>1161.000000</td>\n",
       "      <td>1161.000000</td>\n",
       "      <td>1161.000000</td>\n",
       "      <td>1161.000000</td>\n",
       "      <td>1161.000000</td>\n",
       "      <td>1161.000000</td>\n",
       "      <td>1161.000000</td>\n",
       "      <td>1161.000000</td>\n",
       "      <td>1161.000000</td>\n",
       "      <td>1161.000000</td>\n",
       "      <td>1161.000000</td>\n",
       "      <td>1161.000000</td>\n",
       "      <td>1161.000000</td>\n",
       "      <td>1161.000000</td>\n",
       "      <td>1161.000000</td>\n",
       "      <td>1161.000000</td>\n",
       "      <td>1161.000000</td>\n",
       "      <td>1161.000000</td>\n",
       "      <td>1161.000000</td>\n",
       "      <td>1161.000000</td>\n",
       "      <td>1161.000000</td>\n",
       "      <td>1161.000000</td>\n",
       "      <td>1161.000000</td>\n",
       "      <td>1161.000000</td>\n",
       "      <td>1161.000000</td>\n",
       "      <td>1161.000000</td>\n",
       "      <td>1161.000000</td>\n",
       "      <td>1161.000000</td>\n",
       "      <td>1161.000000</td>\n",
       "      <td>1161.000000</td>\n",
       "      <td>1161.000000</td>\n",
       "      <td>1161.000000</td>\n",
       "      <td>1161.000000</td>\n",
       "      <td>1161.000000</td>\n",
       "      <td>1161.000000</td>\n",
       "      <td>1161.000000</td>\n",
       "      <td>1161.000000</td>\n",
       "      <td>1161.000000</td>\n",
       "      <td>1161.000000</td>\n",
       "      <td>1161.000000</td>\n",
       "      <td>1161.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>mean</th>\n",
       "      <td>0.167289</td>\n",
       "      <td>0.043499</td>\n",
       "      <td>0.063119</td>\n",
       "      <td>0.078741</td>\n",
       "      <td>0.041621</td>\n",
       "      <td>0.241474</td>\n",
       "      <td>0.172734</td>\n",
       "      <td>0.189769</td>\n",
       "      <td>0.169395</td>\n",
       "      <td>0.011028</td>\n",
       "      <td>0.222776</td>\n",
       "      <td>0.140970</td>\n",
       "      <td>0.029285</td>\n",
       "      <td>0.521390</td>\n",
       "      <td>0.193798</td>\n",
       "      <td>0.357666</td>\n",
       "      <td>0.349411</td>\n",
       "      <td>0.376184</td>\n",
       "      <td>0.204134</td>\n",
       "      <td>0.439707</td>\n",
       "      <td>0.331517</td>\n",
       "      <td>0.107816</td>\n",
       "      <td>0.089784</td>\n",
       "      <td>0.042085</td>\n",
       "      <td>0.008093</td>\n",
       "      <td>0.032237</td>\n",
       "      <td>0.003607</td>\n",
       "      <td>0.003023</td>\n",
       "      <td>0.204468</td>\n",
       "      <td>0.270051</td>\n",
       "      <td>0.789836</td>\n",
       "      <td>0.151593</td>\n",
       "      <td>0.325581</td>\n",
       "      <td>0.636520</td>\n",
       "      <td>0.178295</td>\n",
       "      <td>0.723514</td>\n",
       "      <td>0.036176</td>\n",
       "      <td>0.096469</td>\n",
       "      <td>0.031869</td>\n",
       "      <td>0.067183</td>\n",
       "      <td>0.059432</td>\n",
       "      <td>0.153316</td>\n",
       "      <td>0.053402</td>\n",
       "      <td>0.053402</td>\n",
       "      <td>0.082687</td>\n",
       "      <td>0.048234</td>\n",
       "      <td>0.043928</td>\n",
       "      <td>0.054264</td>\n",
       "      <td>0.055125</td>\n",
       "      <td>0.863049</td>\n",
       "      <td>0.103359</td>\n",
       "      <td>0.488372</td>\n",
       "      <td>0.311800</td>\n",
       "      <td>0.081826</td>\n",
       "      <td>0.265289</td>\n",
       "      <td>0.259259</td>\n",
       "      <td>0.222222</td>\n",
       "      <td>0.110250</td>\n",
       "      <td>0.556417</td>\n",
       "      <td>0.170543</td>\n",
       "      <td>0.148148</td>\n",
       "      <td>0.049096</td>\n",
       "      <td>0.777778</td>\n",
       "      <td>0.196382</td>\n",
       "      <td>0.149009</td>\n",
       "      <td>0.154177</td>\n",
       "      <td>0.077519</td>\n",
       "      <td>0.346253</td>\n",
       "      <td>0.139535</td>\n",
       "      <td>0.140396</td>\n",
       "      <td>0.149871</td>\n",
       "      <td>0.096469</td>\n",
       "      <td>0.340224</td>\n",
       "      <td>0.132644</td>\n",
       "      <td>0.304910</td>\n",
       "      <td>0.600345</td>\n",
       "      <td>0.082687</td>\n",
       "      <td>0.332472</td>\n",
       "      <td>0.623600</td>\n",
       "      <td>0.098191</td>\n",
       "      <td>0.437554</td>\n",
       "      <td>0.441860</td>\n",
       "      <td>0.079242</td>\n",
       "      <td>0.428079</td>\n",
       "      <td>0.442722</td>\n",
       "      <td>0.155900</td>\n",
       "      <td>0.093885</td>\n",
       "      <td>0.068906</td>\n",
       "      <td>0.657192</td>\n",
       "      <td>0.152455</td>\n",
       "      <td>0.101637</td>\n",
       "      <td>0.286822</td>\n",
       "      <td>0.050818</td>\n",
       "      <td>0.090439</td>\n",
       "      <td>0.294574</td>\n",
       "      <td>0.505599</td>\n",
       "      <td>0.176572</td>\n",
       "      <td>0.283376</td>\n",
       "      <td>0.404823</td>\n",
       "      <td>0.503015</td>\n",
       "      <td>0.253230</td>\n",
       "      <td>0.475452</td>\n",
       "      <td>0.220500</td>\n",
       "      <td>0.596038</td>\n",
       "      <td>0.064599</td>\n",
       "      <td>0.249785</td>\n",
       "      <td>0.061154</td>\n",
       "      <td>0.236865</td>\n",
       "      <td>0.291128</td>\n",
       "      <td>0.410853</td>\n",
       "      <td>0.111111</td>\n",
       "      <td>0.807924</td>\n",
       "      <td>0.070629</td>\n",
       "      <td>0.823428</td>\n",
       "      <td>0.081826</td>\n",
       "      <td>0.359173</td>\n",
       "      <td>0.096469</td>\n",
       "      <td>0.209302</td>\n",
       "      <td>0.061154</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>std</th>\n",
       "      <td>0.077643</td>\n",
       "      <td>0.050392</td>\n",
       "      <td>0.111605</td>\n",
       "      <td>0.081680</td>\n",
       "      <td>0.143521</td>\n",
       "      <td>0.187782</td>\n",
       "      <td>0.072941</td>\n",
       "      <td>0.090099</td>\n",
       "      <td>0.210580</td>\n",
       "      <td>0.090085</td>\n",
       "      <td>0.098947</td>\n",
       "      <td>0.174349</td>\n",
       "      <td>0.121074</td>\n",
       "      <td>0.182435</td>\n",
       "      <td>0.253247</td>\n",
       "      <td>0.102677</td>\n",
       "      <td>0.075366</td>\n",
       "      <td>0.136054</td>\n",
       "      <td>0.216552</td>\n",
       "      <td>0.188070</td>\n",
       "      <td>0.152481</td>\n",
       "      <td>0.142938</td>\n",
       "      <td>0.127378</td>\n",
       "      <td>0.114133</td>\n",
       "      <td>0.063779</td>\n",
       "      <td>0.120454</td>\n",
       "      <td>0.055187</td>\n",
       "      <td>0.035046</td>\n",
       "      <td>0.109599</td>\n",
       "      <td>0.222601</td>\n",
       "      <td>0.407600</td>\n",
       "      <td>0.358781</td>\n",
       "      <td>0.468794</td>\n",
       "      <td>0.481209</td>\n",
       "      <td>0.382925</td>\n",
       "      <td>0.447453</td>\n",
       "      <td>0.186808</td>\n",
       "      <td>0.295360</td>\n",
       "      <td>0.175727</td>\n",
       "      <td>0.250447</td>\n",
       "      <td>0.236532</td>\n",
       "      <td>0.360447</td>\n",
       "      <td>0.224931</td>\n",
       "      <td>0.224931</td>\n",
       "      <td>0.275528</td>\n",
       "      <td>0.214353</td>\n",
       "      <td>0.205022</td>\n",
       "      <td>0.226635</td>\n",
       "      <td>0.228322</td>\n",
       "      <td>0.343944</td>\n",
       "      <td>0.304559</td>\n",
       "      <td>0.500080</td>\n",
       "      <td>0.463428</td>\n",
       "      <td>0.274218</td>\n",
       "      <td>0.441677</td>\n",
       "      <td>0.438417</td>\n",
       "      <td>0.415919</td>\n",
       "      <td>0.313336</td>\n",
       "      <td>0.497021</td>\n",
       "      <td>0.376271</td>\n",
       "      <td>0.355400</td>\n",
       "      <td>0.216161</td>\n",
       "      <td>0.415919</td>\n",
       "      <td>0.397432</td>\n",
       "      <td>0.356251</td>\n",
       "      <td>0.361274</td>\n",
       "      <td>0.267529</td>\n",
       "      <td>0.475980</td>\n",
       "      <td>0.346653</td>\n",
       "      <td>0.347547</td>\n",
       "      <td>0.357099</td>\n",
       "      <td>0.295360</td>\n",
       "      <td>0.473989</td>\n",
       "      <td>0.339336</td>\n",
       "      <td>0.460568</td>\n",
       "      <td>0.490039</td>\n",
       "      <td>0.275528</td>\n",
       "      <td>0.471302</td>\n",
       "      <td>0.484691</td>\n",
       "      <td>0.297701</td>\n",
       "      <td>0.496299</td>\n",
       "      <td>0.496822</td>\n",
       "      <td>0.270233</td>\n",
       "      <td>0.495014</td>\n",
       "      <td>0.496922</td>\n",
       "      <td>0.362917</td>\n",
       "      <td>0.291794</td>\n",
       "      <td>0.253404</td>\n",
       "      <td>0.474852</td>\n",
       "      <td>0.359616</td>\n",
       "      <td>0.302300</td>\n",
       "      <td>0.452472</td>\n",
       "      <td>0.219721</td>\n",
       "      <td>0.286934</td>\n",
       "      <td>0.456047</td>\n",
       "      <td>0.500184</td>\n",
       "      <td>0.381470</td>\n",
       "      <td>0.450832</td>\n",
       "      <td>0.491069</td>\n",
       "      <td>0.500206</td>\n",
       "      <td>0.435049</td>\n",
       "      <td>0.499612</td>\n",
       "      <td>0.414762</td>\n",
       "      <td>0.490902</td>\n",
       "      <td>0.245924</td>\n",
       "      <td>0.433075</td>\n",
       "      <td>0.239716</td>\n",
       "      <td>0.425342</td>\n",
       "      <td>0.454478</td>\n",
       "      <td>0.492201</td>\n",
       "      <td>0.314405</td>\n",
       "      <td>0.394102</td>\n",
       "      <td>0.256314</td>\n",
       "      <td>0.381470</td>\n",
       "      <td>0.274218</td>\n",
       "      <td>0.479965</td>\n",
       "      <td>0.295360</td>\n",
       "      <td>0.406986</td>\n",
       "      <td>0.239716</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>min</th>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25%</th>\n",
       "      <td>0.133562</td>\n",
       "      <td>0.029143</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.093750</td>\n",
       "      <td>0.129787</td>\n",
       "      <td>0.125746</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.149209</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.333333</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.250000</td>\n",
       "      <td>0.333333</td>\n",
       "      <td>0.250000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.250000</td>\n",
       "      <td>0.232722</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.133221</td>\n",
       "      <td>0.058824</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>50%</th>\n",
       "      <td>0.164384</td>\n",
       "      <td>0.038290</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.068037</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.205051</td>\n",
       "      <td>0.162193</td>\n",
       "      <td>0.171179</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.211379</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.666667</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.375000</td>\n",
       "      <td>0.333333</td>\n",
       "      <td>0.333333</td>\n",
       "      <td>0.333333</td>\n",
       "      <td>0.500000</td>\n",
       "      <td>0.337094</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.045889</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.180397</td>\n",
       "      <td>0.257353</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>75%</th>\n",
       "      <td>0.195205</td>\n",
       "      <td>0.047676</td>\n",
       "      <td>0.102500</td>\n",
       "      <td>0.124911</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.341610</td>\n",
       "      <td>0.210147</td>\n",
       "      <td>0.240707</td>\n",
       "      <td>0.352542</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.274303</td>\n",
       "      <td>0.333333</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.666667</td>\n",
       "      <td>0.500000</td>\n",
       "      <td>0.375000</td>\n",
       "      <td>0.333333</td>\n",
       "      <td>0.416667</td>\n",
       "      <td>0.333333</td>\n",
       "      <td>0.500000</td>\n",
       "      <td>0.406206</td>\n",
       "      <td>0.196033</td>\n",
       "      <td>0.131931</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.251162</td>\n",
       "      <td>0.397059</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>max</th>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "       LotFrontage      LotArea   MasVnrArea   BsmtFinSF1   BsmtFinSF2  \\\n",
       "count  1161.000000  1161.000000  1161.000000  1161.000000  1161.000000   \n",
       "mean      0.167289     0.043499     0.063119     0.078741     0.041621   \n",
       "std       0.077643     0.050392     0.111605     0.081680     0.143521   \n",
       "min       0.000000     0.000000     0.000000     0.000000     0.000000   \n",
       "25%       0.133562     0.029143     0.000000     0.000000     0.000000   \n",
       "50%       0.164384     0.038290     0.000000     0.068037     0.000000   \n",
       "75%       0.195205     0.047676     0.102500     0.124911     0.000000   \n",
       "max       1.000000     1.000000     1.000000     1.000000     1.000000   \n",
       "\n",
       "         BsmtUnfSF  TotalBsmtSF     1stFlrSF     2ndFlrSF  LowQualFinSF  \\\n",
       "count  1161.000000  1161.000000  1161.000000  1161.000000   1161.000000   \n",
       "mean      0.241474     0.172734     0.189769     0.169395      0.011028   \n",
       "std       0.187782     0.072941     0.090099     0.210580      0.090085   \n",
       "min       0.000000     0.000000     0.000000     0.000000      0.000000   \n",
       "25%       0.093750     0.129787     0.125746     0.000000      0.000000   \n",
       "50%       0.205051     0.162193     0.171179     0.000000      0.000000   \n",
       "75%       0.341610     0.210147     0.240707     0.352542      0.000000   \n",
       "max       1.000000     1.000000     1.000000     1.000000      1.000000   \n",
       "\n",
       "         GrLivArea  BsmtFullBath  BsmtHalfBath     FullBath     HalfBath  \\\n",
       "count  1161.000000   1161.000000   1161.000000  1161.000000  1161.000000   \n",
       "mean      0.222776      0.140970      0.029285     0.521390     0.193798   \n",
       "std       0.098947      0.174349      0.121074     0.182435     0.253247   \n",
       "min       0.000000      0.000000      0.000000     0.000000     0.000000   \n",
       "25%       0.149209      0.000000      0.000000     0.333333     0.000000   \n",
       "50%       0.211379      0.000000      0.000000     0.666667     0.000000   \n",
       "75%       0.274303      0.333333      0.000000     0.666667     0.500000   \n",
       "max       1.000000      1.000000      1.000000     1.000000     1.000000   \n",
       "\n",
       "       BedroomAbvGr  KitchenAbvGr  TotRmsAbvGrd   Fireplaces   GarageCars  \\\n",
       "count   1161.000000   1161.000000   1161.000000  1161.000000  1161.000000   \n",
       "mean       0.357666      0.349411      0.376184     0.204134     0.439707   \n",
       "std        0.102677      0.075366      0.136054     0.216552     0.188070   \n",
       "min        0.000000      0.000000      0.000000     0.000000     0.000000   \n",
       "25%        0.250000      0.333333      0.250000     0.000000     0.250000   \n",
       "50%        0.375000      0.333333      0.333333     0.333333     0.500000   \n",
       "75%        0.375000      0.333333      0.416667     0.333333     0.500000   \n",
       "max        1.000000      1.000000      1.000000     1.000000     1.000000   \n",
       "\n",
       "        GarageArea   WoodDeckSF  OpenPorchSF  EnclosedPorch    3SsnPorch  \\\n",
       "count  1161.000000  1161.000000  1161.000000    1161.000000  1161.000000   \n",
       "mean      0.331517     0.107816     0.089784       0.042085     0.008093   \n",
       "std       0.152481     0.142938     0.127378       0.114133     0.063779   \n",
       "min       0.000000     0.000000     0.000000       0.000000     0.000000   \n",
       "25%       0.232722     0.000000     0.000000       0.000000     0.000000   \n",
       "50%       0.337094     0.000000     0.045889       0.000000     0.000000   \n",
       "75%       0.406206     0.196033     0.131931       0.000000     0.000000   \n",
       "max       1.000000     1.000000     1.000000       1.000000     1.000000   \n",
       "\n",
       "       ScreenPorch     PoolArea      MiscVal    SalePrice     AgeHouse  \\\n",
       "count  1161.000000  1161.000000  1161.000000  1161.000000  1161.000000   \n",
       "mean      0.032237     0.003607     0.003023     0.204468     0.270051   \n",
       "std       0.120454     0.055187     0.035046     0.109599     0.222601   \n",
       "min       0.000000     0.000000     0.000000     0.000000     0.000000   \n",
       "25%       0.000000     0.000000     0.000000     0.133221     0.058824   \n",
       "50%       0.000000     0.000000     0.000000     0.180397     0.257353   \n",
       "75%       0.000000     0.000000     0.000000     0.251162     0.397059   \n",
       "max       1.000000     1.000000     1.000000     1.000000     1.000000   \n",
       "\n",
       "       MSZoning_RL  MSZoning_RM  LotShape_IR1  LotShape_Reg  LotConfig_Corner  \\\n",
       "count  1161.000000  1161.000000   1161.000000   1161.000000       1161.000000   \n",
       "mean      0.789836     0.151593      0.325581      0.636520          0.178295   \n",
       "std       0.407600     0.358781      0.468794      0.481209          0.382925   \n",
       "min       0.000000     0.000000      0.000000      0.000000          0.000000   \n",
       "25%       1.000000     0.000000      0.000000      0.000000          0.000000   \n",
       "50%       1.000000     0.000000      0.000000      1.000000          0.000000   \n",
       "75%       1.000000     0.000000      1.000000      1.000000          0.000000   \n",
       "max       1.000000     1.000000      1.000000      1.000000          1.000000   \n",
       "\n",
       "       LotConfig_Inside  Neighborhood_BrkSide  Neighborhood_CollgCr  \\\n",
       "count       1161.000000           1161.000000           1161.000000   \n",
       "mean           0.723514              0.036176              0.096469   \n",
       "std            0.447453              0.186808              0.295360   \n",
       "min            0.000000              0.000000              0.000000   \n",
       "25%            0.000000              0.000000              0.000000   \n",
       "50%            1.000000              0.000000              0.000000   \n",
       "75%            1.000000              0.000000              0.000000   \n",
       "max            1.000000              1.000000              1.000000   \n",
       "\n",
       "       Neighborhood_Crawfor  Neighborhood_Edwards  Neighborhood_Gilbert  \\\n",
       "count           1161.000000           1161.000000           1161.000000   \n",
       "mean               0.031869              0.067183              0.059432   \n",
       "std                0.175727              0.250447              0.236532   \n",
       "min                0.000000              0.000000              0.000000   \n",
       "25%                0.000000              0.000000              0.000000   \n",
       "50%                0.000000              0.000000              0.000000   \n",
       "75%                0.000000              0.000000              0.000000   \n",
       "max                1.000000              1.000000              1.000000   \n",
       "\n",
       "       Neighborhood_NAmes  Neighborhood_NWAmes  Neighborhood_NridgHt  \\\n",
       "count         1161.000000          1161.000000           1161.000000   \n",
       "mean             0.153316             0.053402              0.053402   \n",
       "std              0.360447             0.224931              0.224931   \n",
       "min              0.000000             0.000000              0.000000   \n",
       "25%              0.000000             0.000000              0.000000   \n",
       "50%              0.000000             0.000000              0.000000   \n",
       "75%              0.000000             0.000000              0.000000   \n",
       "max              1.000000             1.000000              1.000000   \n",
       "\n",
       "       Neighborhood_OldTown  Neighborhood_Sawyer  Neighborhood_SawyerW  \\\n",
       "count           1161.000000          1161.000000           1161.000000   \n",
       "mean               0.082687             0.048234              0.043928   \n",
       "std                0.275528             0.214353              0.205022   \n",
       "min                0.000000             0.000000              0.000000   \n",
       "25%                0.000000             0.000000              0.000000   \n",
       "50%                0.000000             0.000000              0.000000   \n",
       "75%                0.000000             0.000000              0.000000   \n",
       "max                1.000000             1.000000              1.000000   \n",
       "\n",
       "       Neighborhood_Somerst  Condition1_Feedr  Condition1_Norm  \\\n",
       "count           1161.000000       1161.000000      1161.000000   \n",
       "mean               0.054264          0.055125         0.863049   \n",
       "std                0.226635          0.228322         0.343944   \n",
       "min                0.000000          0.000000         0.000000   \n",
       "25%                0.000000          0.000000         1.000000   \n",
       "50%                0.000000          0.000000         1.000000   \n",
       "75%                0.000000          0.000000         1.000000   \n",
       "max                1.000000          1.000000         1.000000   \n",
       "\n",
       "       HouseStyle_1.5Fin  HouseStyle_1Story  HouseStyle_2Story  OverallQual_4  \\\n",
       "count        1161.000000        1161.000000        1161.000000    1161.000000   \n",
       "mean            0.103359           0.488372           0.311800       0.081826   \n",
       "std             0.304559           0.500080           0.463428       0.274218   \n",
       "min             0.000000           0.000000           0.000000       0.000000   \n",
       "25%             0.000000           0.000000           0.000000       0.000000   \n",
       "50%             0.000000           0.000000           0.000000       0.000000   \n",
       "75%             0.000000           1.000000           1.000000       0.000000   \n",
       "max             1.000000           1.000000           1.000000       1.000000   \n",
       "\n",
       "       OverallQual_5  OverallQual_6  OverallQual_7  OverallQual_8  \\\n",
       "count    1161.000000    1161.000000    1161.000000    1161.000000   \n",
       "mean        0.265289       0.259259       0.222222       0.110250   \n",
       "std         0.441677       0.438417       0.415919       0.313336   \n",
       "min         0.000000       0.000000       0.000000       0.000000   \n",
       "25%         0.000000       0.000000       0.000000       0.000000   \n",
       "50%         0.000000       0.000000       0.000000       0.000000   \n",
       "75%         1.000000       1.000000       0.000000       0.000000   \n",
       "max         1.000000       1.000000       1.000000       1.000000   \n",
       "\n",
       "       OverallCond_5  OverallCond_6  OverallCond_7  OverallCond_8  \\\n",
       "count    1161.000000    1161.000000    1161.000000    1161.000000   \n",
       "mean        0.556417       0.170543       0.148148       0.049096   \n",
       "std         0.497021       0.376271       0.355400       0.216161   \n",
       "min         0.000000       0.000000       0.000000       0.000000   \n",
       "25%         0.000000       0.000000       0.000000       0.000000   \n",
       "50%         1.000000       0.000000       0.000000       0.000000   \n",
       "75%         1.000000       0.000000       0.000000       0.000000   \n",
       "max         1.000000       1.000000       1.000000       1.000000   \n",
       "\n",
       "       RoofStyle_Gable  RoofStyle_Hip  Exterior1st_HdBoard  \\\n",
       "count      1161.000000    1161.000000          1161.000000   \n",
       "mean          0.777778       0.196382             0.149009   \n",
       "std           0.415919       0.397432             0.356251   \n",
       "min           0.000000       0.000000             0.000000   \n",
       "25%           1.000000       0.000000             0.000000   \n",
       "50%           1.000000       0.000000             0.000000   \n",
       "75%           1.000000       0.000000             0.000000   \n",
       "max           1.000000       1.000000             1.000000   \n",
       "\n",
       "       Exterior1st_MetalSd  Exterior1st_Plywood  Exterior1st_VinylSd  \\\n",
       "count          1161.000000          1161.000000          1161.000000   \n",
       "mean              0.154177             0.077519             0.346253   \n",
       "std               0.361274             0.267529             0.475980   \n",
       "min               0.000000             0.000000             0.000000   \n",
       "25%               0.000000             0.000000             0.000000   \n",
       "50%               0.000000             0.000000             0.000000   \n",
       "75%               0.000000             0.000000             1.000000   \n",
       "max               1.000000             1.000000             1.000000   \n",
       "\n",
       "       Exterior1st_Wd Sdng  Exterior2nd_HdBoard  Exterior2nd_MetalSd  \\\n",
       "count          1161.000000          1161.000000          1161.000000   \n",
       "mean              0.139535             0.140396             0.149871   \n",
       "std               0.346653             0.347547             0.357099   \n",
       "min               0.000000             0.000000             0.000000   \n",
       "25%               0.000000             0.000000             0.000000   \n",
       "50%               0.000000             0.000000             0.000000   \n",
       "75%               0.000000             0.000000             0.000000   \n",
       "max               1.000000             1.000000             1.000000   \n",
       "\n",
       "       Exterior2nd_Plywood  Exterior2nd_VinylSd  Exterior2nd_Wd Sdng  \\\n",
       "count          1161.000000          1161.000000          1161.000000   \n",
       "mean              0.096469             0.340224             0.132644   \n",
       "std               0.295360             0.473989             0.339336   \n",
       "min               0.000000             0.000000             0.000000   \n",
       "25%               0.000000             0.000000             0.000000   \n",
       "50%               0.000000             0.000000             0.000000   \n",
       "75%               0.000000             1.000000             0.000000   \n",
       "max               1.000000             1.000000             1.000000   \n",
       "\n",
       "       MasVnrType_BrkFace  MasVnrType_None  MasVnrType_Stone  ExterQual_Gd  \\\n",
       "count         1161.000000      1161.000000       1161.000000   1161.000000   \n",
       "mean             0.304910         0.600345          0.082687      0.332472   \n",
       "std              0.460568         0.490039          0.275528      0.471302   \n",
       "min              0.000000         0.000000          0.000000      0.000000   \n",
       "25%              0.000000         0.000000          0.000000      0.000000   \n",
       "50%              0.000000         1.000000          0.000000      0.000000   \n",
       "75%              1.000000         1.000000          0.000000      1.000000   \n",
       "max              1.000000         1.000000          1.000000      1.000000   \n",
       "\n",
       "       ExterQual_TA  Foundation_BrkTil  Foundation_CBlock  Foundation_PConc  \\\n",
       "count   1161.000000        1161.000000        1161.000000       1161.000000   \n",
       "mean       0.623600           0.098191           0.437554          0.441860   \n",
       "std        0.484691           0.297701           0.496299          0.496822   \n",
       "min        0.000000           0.000000           0.000000          0.000000   \n",
       "25%        0.000000           0.000000           0.000000          0.000000   \n",
       "50%        1.000000           0.000000           0.000000          0.000000   \n",
       "75%        1.000000           0.000000           1.000000          1.000000   \n",
       "max        1.000000           1.000000           1.000000          1.000000   \n",
       "\n",
       "       BsmtQual_Ex  BsmtQual_Gd  BsmtQual_TA  BsmtExposure_Av  \\\n",
       "count  1161.000000  1161.000000  1161.000000      1161.000000   \n",
       "mean      0.079242     0.428079     0.442722         0.155900   \n",
       "std       0.270233     0.495014     0.496922         0.362917   \n",
       "min       0.000000     0.000000     0.000000         0.000000   \n",
       "25%       0.000000     0.000000     0.000000         0.000000   \n",
       "50%       0.000000     0.000000     0.000000         0.000000   \n",
       "75%       0.000000     1.000000     1.000000         0.000000   \n",
       "max       1.000000     1.000000     1.000000         1.000000   \n",
       "\n",
       "       BsmtExposure_Gd  BsmtExposure_Mn  BsmtExposure_No  BsmtFinType1_ALQ  \\\n",
       "count      1161.000000      1161.000000      1161.000000       1161.000000   \n",
       "mean          0.093885         0.068906         0.657192          0.152455   \n",
       "std           0.291794         0.253404         0.474852          0.359616   \n",
       "min           0.000000         0.000000         0.000000          0.000000   \n",
       "25%           0.000000         0.000000         0.000000          0.000000   \n",
       "50%           0.000000         0.000000         1.000000          0.000000   \n",
       "75%           0.000000         0.000000         1.000000          0.000000   \n",
       "max           1.000000         1.000000         1.000000          1.000000   \n",
       "\n",
       "       BsmtFinType1_BLQ  BsmtFinType1_GLQ  BsmtFinType1_LwQ  BsmtFinType1_Rec  \\\n",
       "count       1161.000000       1161.000000       1161.000000       1161.000000   \n",
       "mean           0.101637          0.286822          0.050818          0.090439   \n",
       "std            0.302300          0.452472          0.219721          0.286934   \n",
       "min            0.000000          0.000000          0.000000          0.000000   \n",
       "25%            0.000000          0.000000          0.000000          0.000000   \n",
       "50%            0.000000          0.000000          0.000000          0.000000   \n",
       "75%            0.000000          1.000000          0.000000          0.000000   \n",
       "max            1.000000          1.000000          1.000000          1.000000   \n",
       "\n",
       "       BsmtFinType1_Unf  HeatingQC_Ex  HeatingQC_Gd  HeatingQC_TA  \\\n",
       "count       1161.000000   1161.000000   1161.000000   1161.000000   \n",
       "mean           0.294574      0.505599      0.176572      0.283376   \n",
       "std            0.456047      0.500184      0.381470      0.450832   \n",
       "min            0.000000      0.000000      0.000000      0.000000   \n",
       "25%            0.000000      0.000000      0.000000      0.000000   \n",
       "50%            0.000000      1.000000      0.000000      0.000000   \n",
       "75%            1.000000      1.000000      0.000000      1.000000   \n",
       "max            1.000000      1.000000      1.000000      1.000000   \n",
       "\n",
       "       KitchenQual_Gd  KitchenQual_TA  FireplaceQu_Gd  \\\n",
       "count     1161.000000     1161.000000     1161.000000   \n",
       "mean         0.404823        0.503015        0.253230   \n",
       "std          0.491069        0.500206        0.435049   \n",
       "min          0.000000        0.000000        0.000000   \n",
       "25%          0.000000        0.000000        0.000000   \n",
       "50%          0.000000        1.000000        0.000000   \n",
       "75%          1.000000        1.000000        1.000000   \n",
       "max          1.000000        1.000000        1.000000   \n",
       "\n",
       "       FireplaceQu_No Fireplace  FireplaceQu_TA  GarageType_Attchd  \\\n",
       "count               1161.000000     1161.000000        1161.000000   \n",
       "mean                   0.475452        0.220500           0.596038   \n",
       "std                    0.499612        0.414762           0.490902   \n",
       "min                    0.000000        0.000000           0.000000   \n",
       "25%                    0.000000        0.000000           0.000000   \n",
       "50%                    0.000000        0.000000           1.000000   \n",
       "75%                    1.000000        0.000000           1.000000   \n",
       "max                    1.000000        1.000000           1.000000   \n",
       "\n",
       "       GarageType_BuiltIn  GarageType_Detchd  GarageType_No Garage  \\\n",
       "count         1161.000000        1161.000000           1161.000000   \n",
       "mean             0.064599           0.249785              0.061154   \n",
       "std              0.245924           0.433075              0.239716   \n",
       "min              0.000000           0.000000              0.000000   \n",
       "25%              0.000000           0.000000              0.000000   \n",
       "50%              0.000000           0.000000              0.000000   \n",
       "75%              0.000000           0.000000              0.000000   \n",
       "max              1.000000           1.000000              1.000000   \n",
       "\n",
       "       GarageFinish_Fin  GarageFinish_RFn  GarageFinish_Unf  Fence_MnPrv  \\\n",
       "count       1161.000000       1161.000000       1161.000000  1161.000000   \n",
       "mean           0.236865          0.291128          0.410853     0.111111   \n",
       "std            0.425342          0.454478          0.492201     0.314405   \n",
       "min            0.000000          0.000000          0.000000     0.000000   \n",
       "25%            0.000000          0.000000          0.000000     0.000000   \n",
       "50%            0.000000          0.000000          0.000000     0.000000   \n",
       "75%            0.000000          1.000000          1.000000     0.000000   \n",
       "max            1.000000          1.000000          1.000000     1.000000   \n",
       "\n",
       "       Fence_No Fence  SaleCondition_Abnorml  SaleCondition_Normal  \\\n",
       "count     1161.000000            1161.000000           1161.000000   \n",
       "mean         0.807924               0.070629              0.823428   \n",
       "std          0.394102               0.256314              0.381470   \n",
       "min          0.000000               0.000000              0.000000   \n",
       "25%          1.000000               0.000000              1.000000   \n",
       "50%          1.000000               0.000000              1.000000   \n",
       "75%          1.000000               0.000000              1.000000   \n",
       "max          1.000000               1.000000              1.000000   \n",
       "\n",
       "       SaleCondition_Partial  MSSubClass_20  MSSubClass_50  MSSubClass_60  \\\n",
       "count            1161.000000    1161.000000    1161.000000    1161.000000   \n",
       "mean                0.081826       0.359173       0.096469       0.209302   \n",
       "std                 0.274218       0.479965       0.295360       0.406986   \n",
       "min                 0.000000       0.000000       0.000000       0.000000   \n",
       "25%                 0.000000       0.000000       0.000000       0.000000   \n",
       "50%                 0.000000       0.000000       0.000000       0.000000   \n",
       "75%                 0.000000       1.000000       0.000000       0.000000   \n",
       "max                 1.000000       1.000000       1.000000       1.000000   \n",
       "\n",
       "       MSSubClass_120  \n",
       "count     1161.000000  \n",
       "mean         0.061154  \n",
       "std          0.239716  \n",
       "min          0.000000  \n",
       "25%          0.000000  \n",
       "50%          0.000000  \n",
       "75%          0.000000  \n",
       "max          1.000000  "
      ]
     },
     "execution_count": 697,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df_train.describe()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Looking at Correlations"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 698,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "                                                          0\n",
      "Exterior1st_VinylSd      Exterior2nd_VinylSd       0.979074\n",
      "Exterior2nd_VinylSd      Exterior1st_VinylSd       0.979074\n",
      "Exterior2nd_MetalSd      Exterior1st_MetalSd       0.970070\n",
      "Exterior1st_MetalSd      Exterior2nd_MetalSd       0.970070\n",
      "MSSubClass_50            HouseStyle_1.5Fin         0.933651\n",
      "HouseStyle_1.5Fin        MSSubClass_50             0.933651\n",
      "RoofStyle_Gable          RoofStyle_Hip             0.924827\n",
      "RoofStyle_Hip            RoofStyle_Gable           0.924827\n",
      "LotShape_IR1             LotShape_Reg              0.919456\n",
      "LotShape_Reg             LotShape_IR1              0.919456\n",
      "ExterQual_Gd             ExterQual_TA              0.908388\n",
      "ExterQual_TA             ExterQual_Gd              0.908388\n",
      "FireplaceQu_No Fireplace Fireplaces                0.897846\n",
      "Fireplaces               FireplaceQu_No Fireplace  0.897846\n",
      "GarageCars               GarageArea                0.883644\n",
      "GarageArea               GarageCars                0.883644\n",
      "Exterior2nd_HdBoard      Exterior1st_HdBoard       0.868316\n",
      "Exterior1st_HdBoard      Exterior2nd_HdBoard       0.868316\n",
      "Exterior2nd_Wd Sdng      Exterior1st_Wd Sdng       0.861187\n",
      "Exterior1st_Wd Sdng      Exterior2nd_Wd Sdng       0.861187\n",
      "KitchenQual_TA           KitchenQual_Gd            0.829714\n",
      "KitchenQual_Gd           KitchenQual_TA            0.829714\n",
      "TotRmsAbvGrd             GrLivArea                 0.821100\n",
      "GrLivArea                TotRmsAbvGrd              0.821100\n",
      "TotalBsmtSF              1stFlrSF                  0.820468\n",
      "1stFlrSF                 TotalBsmtSF               0.820468\n",
      "MSZoning_RM              MSZoning_RL               0.819460\n",
      "MSZoning_RL              MSZoning_RM               0.819460\n",
      "HouseStyle_2Story        2ndFlrSF                  0.813839\n",
      "2ndFlrSF                 HouseStyle_2Story         0.813839\n",
      "MasVnrType_BrkFace       MasVnrType_None           0.811750\n",
      "MasVnrType_None          MasVnrType_BrkFace        0.811750\n",
      "Foundation_PConc         Foundation_CBlock         0.784777\n",
      "Foundation_CBlock        Foundation_PConc          0.784777\n",
      "2ndFlrSF                 HouseStyle_1Story         0.783651\n",
      "HouseStyle_1Story        2ndFlrSF                  0.783651\n",
      "BsmtQual_Gd              BsmtQual_TA               0.771123\n",
      "BsmtQual_TA              BsmtQual_Gd               0.771123\n",
      "Exterior2nd_Plywood      Exterior1st_Plywood       0.767158\n",
      "Exterior1st_Plywood      Exterior2nd_Plywood       0.767158\n",
      "MSSubClass_60            HouseStyle_2Story         0.759795\n",
      "HouseStyle_2Story        MSSubClass_60             0.759795\n",
      "HouseStyle_1Story        MSSubClass_20             0.759089\n",
      "MSSubClass_20            HouseStyle_1Story         0.759089\n",
      "LotConfig_Inside         LotConfig_Corner          0.753526\n",
      "LotConfig_Corner         LotConfig_Inside          0.753526\n",
      "Fence_No Fence           Fence_MnPrv               0.725110\n",
      "Fence_MnPrv              Fence_No Fence            0.725110\n",
      "GarageType_Detchd        GarageType_Attchd         0.700901\n",
      "GarageType_Attchd        GarageType_Detchd         0.700901\n"
     ]
    }
   ],
   "source": [
    "# Variables more than 0.70 correlations \n",
    "c = df_train.corr().abs()\n",
    "s = c.unstack()\n",
    "so = s.sort_values(kind=\"quicksort\", ascending=False)\n",
    "df_corr = pd.DataFrame(so)\n",
    "#df_corr.columns = ['correlations']\n",
    "print(df_corr[(df_corr[0] < 1) & (df_corr[0] > 0.7)])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### Removing one variable from the highly correlated variables pair"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 699,
   "metadata": {},
   "outputs": [],
   "source": [
    "df_train = df_train.drop(['Exterior2nd_VinylSd','Exterior2nd_MetalSd','HouseStyle_1.5Fin','RoofStyle_Hip','LotShape_IR1',\n",
    "                         'ExterQual_Gd','Fireplaces','GarageCars','Exterior2nd_HdBoard','Exterior2nd_Wd Sdng',\n",
    "                         'KitchenQual_Gd','TotRmsAbvGrd','HouseStyle_2Story','MSZoning_RM','MasVnrType_BrkFace',\n",
    "                         'TotalBsmtSF','Foundation_CBlock','HouseStyle_1Story','BsmtQual_Gd','LotConfig_Corner',\n",
    "                         'Exterior2nd_Plywood','Fence_MnPrv','GarageType_Detchd'], axis=1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 700,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(1161, 96)"
      ]
     },
     "execution_count": 700,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df_train.shape"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### Create X_train and y_train"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 701,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Popping out the SalePrice column for y_train\n",
    "y_train = df_train.pop('SalePrice')\n",
    "# Creating X_train\n",
    "X_train = df_train"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 702,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "744     0.204337\n",
       "1184    0.213773\n",
       "369     0.178989\n",
       "627     0.166315\n",
       "517     0.324039\n",
       "Name: SalePrice, dtype: float64"
      ]
     },
     "execution_count": 702,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "y_train.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 703,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>LotFrontage</th>\n",
       "      <th>LotArea</th>\n",
       "      <th>MasVnrArea</th>\n",
       "      <th>BsmtFinSF1</th>\n",
       "      <th>BsmtFinSF2</th>\n",
       "      <th>BsmtUnfSF</th>\n",
       "      <th>1stFlrSF</th>\n",
       "      <th>2ndFlrSF</th>\n",
       "      <th>LowQualFinSF</th>\n",
       "      <th>GrLivArea</th>\n",
       "      <th>BsmtFullBath</th>\n",
       "      <th>BsmtHalfBath</th>\n",
       "      <th>FullBath</th>\n",
       "      <th>HalfBath</th>\n",
       "      <th>BedroomAbvGr</th>\n",
       "      <th>KitchenAbvGr</th>\n",
       "      <th>GarageArea</th>\n",
       "      <th>WoodDeckSF</th>\n",
       "      <th>OpenPorchSF</th>\n",
       "      <th>EnclosedPorch</th>\n",
       "      <th>3SsnPorch</th>\n",
       "      <th>ScreenPorch</th>\n",
       "      <th>PoolArea</th>\n",
       "      <th>MiscVal</th>\n",
       "      <th>AgeHouse</th>\n",
       "      <th>MSZoning_RL</th>\n",
       "      <th>LotShape_Reg</th>\n",
       "      <th>LotConfig_Inside</th>\n",
       "      <th>Neighborhood_BrkSide</th>\n",
       "      <th>Neighborhood_CollgCr</th>\n",
       "      <th>Neighborhood_Crawfor</th>\n",
       "      <th>Neighborhood_Edwards</th>\n",
       "      <th>Neighborhood_Gilbert</th>\n",
       "      <th>Neighborhood_NAmes</th>\n",
       "      <th>Neighborhood_NWAmes</th>\n",
       "      <th>Neighborhood_NridgHt</th>\n",
       "      <th>Neighborhood_OldTown</th>\n",
       "      <th>Neighborhood_Sawyer</th>\n",
       "      <th>Neighborhood_SawyerW</th>\n",
       "      <th>Neighborhood_Somerst</th>\n",
       "      <th>Condition1_Feedr</th>\n",
       "      <th>Condition1_Norm</th>\n",
       "      <th>OverallQual_4</th>\n",
       "      <th>OverallQual_5</th>\n",
       "      <th>OverallQual_6</th>\n",
       "      <th>OverallQual_7</th>\n",
       "      <th>OverallQual_8</th>\n",
       "      <th>OverallCond_5</th>\n",
       "      <th>OverallCond_6</th>\n",
       "      <th>OverallCond_7</th>\n",
       "      <th>OverallCond_8</th>\n",
       "      <th>RoofStyle_Gable</th>\n",
       "      <th>Exterior1st_HdBoard</th>\n",
       "      <th>Exterior1st_MetalSd</th>\n",
       "      <th>Exterior1st_Plywood</th>\n",
       "      <th>Exterior1st_VinylSd</th>\n",
       "      <th>Exterior1st_Wd Sdng</th>\n",
       "      <th>MasVnrType_None</th>\n",
       "      <th>MasVnrType_Stone</th>\n",
       "      <th>ExterQual_TA</th>\n",
       "      <th>Foundation_BrkTil</th>\n",
       "      <th>Foundation_PConc</th>\n",
       "      <th>BsmtQual_Ex</th>\n",
       "      <th>BsmtQual_TA</th>\n",
       "      <th>BsmtExposure_Av</th>\n",
       "      <th>BsmtExposure_Gd</th>\n",
       "      <th>BsmtExposure_Mn</th>\n",
       "      <th>BsmtExposure_No</th>\n",
       "      <th>BsmtFinType1_ALQ</th>\n",
       "      <th>BsmtFinType1_BLQ</th>\n",
       "      <th>BsmtFinType1_GLQ</th>\n",
       "      <th>BsmtFinType1_LwQ</th>\n",
       "      <th>BsmtFinType1_Rec</th>\n",
       "      <th>BsmtFinType1_Unf</th>\n",
       "      <th>HeatingQC_Ex</th>\n",
       "      <th>HeatingQC_Gd</th>\n",
       "      <th>HeatingQC_TA</th>\n",
       "      <th>KitchenQual_TA</th>\n",
       "      <th>FireplaceQu_Gd</th>\n",
       "      <th>FireplaceQu_No Fireplace</th>\n",
       "      <th>FireplaceQu_TA</th>\n",
       "      <th>GarageType_Attchd</th>\n",
       "      <th>GarageType_BuiltIn</th>\n",
       "      <th>GarageType_No Garage</th>\n",
       "      <th>GarageFinish_Fin</th>\n",
       "      <th>GarageFinish_RFn</th>\n",
       "      <th>GarageFinish_Unf</th>\n",
       "      <th>Fence_No Fence</th>\n",
       "      <th>SaleCondition_Abnorml</th>\n",
       "      <th>SaleCondition_Normal</th>\n",
       "      <th>SaleCondition_Partial</th>\n",
       "      <th>MSSubClass_20</th>\n",
       "      <th>MSSubClass_50</th>\n",
       "      <th>MSSubClass_60</th>\n",
       "      <th>MSSubClass_120</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>744</th>\n",
       "      <td>0.068493</td>\n",
       "      <td>0.019140</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.129872</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.258562</td>\n",
       "      <td>0.230151</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.188960</td>\n",
       "      <td>0.333333</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.666667</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.250</td>\n",
       "      <td>0.333333</td>\n",
       "      <td>0.325811</td>\n",
       "      <td>0.112019</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.126812</td>\n",
       "      <td>0.330709</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.110294</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1184</th>\n",
       "      <td>0.099315</td>\n",
       "      <td>0.158139</td>\n",
       "      <td>0.141250</td>\n",
       "      <td>0.205351</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.176798</td>\n",
       "      <td>0.284075</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.233233</td>\n",
       "      <td>0.333333</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.333333</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.375</td>\n",
       "      <td>0.333333</td>\n",
       "      <td>0.701693</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.502868</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.597727</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.323529</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>369</th>\n",
       "      <td>0.164384</td>\n",
       "      <td>0.039870</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.012757</td>\n",
       "      <td>0.228926</td>\n",
       "      <td>0.313784</td>\n",
       "      <td>0.218678</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.179540</td>\n",
       "      <td>0.333333</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.333333</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.375</td>\n",
       "      <td>0.333333</td>\n",
       "      <td>0.406206</td>\n",
       "      <td>0.424737</td>\n",
       "      <td>0.032505</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.413636</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.375000</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>627</th>\n",
       "      <td>0.202055</td>\n",
       "      <td>0.038795</td>\n",
       "      <td>0.102500</td>\n",
       "      <td>0.119419</td>\n",
       "      <td>0.117125</td>\n",
       "      <td>0.149829</td>\n",
       "      <td>0.272143</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.223436</td>\n",
       "      <td>0.333333</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.333333</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.375</td>\n",
       "      <td>0.333333</td>\n",
       "      <td>0.256700</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.342391</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.404412</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>517</th>\n",
       "      <td>0.198630</td>\n",
       "      <td>0.041637</td>\n",
       "      <td>0.575625</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.541096</td>\n",
       "      <td>0.216384</td>\n",
       "      <td>0.516707</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.378674</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.666667</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.375</td>\n",
       "      <td>0.333333</td>\n",
       "      <td>0.626939</td>\n",
       "      <td>0.256709</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.095588</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "      LotFrontage   LotArea  MasVnrArea  BsmtFinSF1  BsmtFinSF2  BsmtUnfSF  \\\n",
       "744      0.068493  0.019140    0.000000    0.129872    0.000000   0.258562   \n",
       "1184     0.099315  0.158139    0.141250    0.205351    0.000000   0.176798   \n",
       "369      0.164384  0.039870    0.000000    0.012757    0.228926   0.313784   \n",
       "627      0.202055  0.038795    0.102500    0.119419    0.117125   0.149829   \n",
       "517      0.198630  0.041637    0.575625    0.000000    0.000000   0.541096   \n",
       "\n",
       "      1stFlrSF  2ndFlrSF  LowQualFinSF  GrLivArea  BsmtFullBath  BsmtHalfBath  \\\n",
       "744   0.230151  0.000000           0.0   0.188960      0.333333           0.0   \n",
       "1184  0.284075  0.000000           0.0   0.233233      0.333333           0.0   \n",
       "369   0.218678  0.000000           0.0   0.179540      0.333333           0.0   \n",
       "627   0.272143  0.000000           0.0   0.223436      0.333333           0.0   \n",
       "517   0.216384  0.516707           0.0   0.378674      0.000000           0.0   \n",
       "\n",
       "      FullBath  HalfBath  BedroomAbvGr  KitchenAbvGr  GarageArea  WoodDeckSF  \\\n",
       "744   0.666667       0.0         0.250      0.333333    0.325811    0.112019   \n",
       "1184  0.333333       0.5         0.375      0.333333    0.701693    0.000000   \n",
       "369   0.333333       0.0         0.375      0.333333    0.406206    0.424737   \n",
       "627   0.333333       0.0         0.375      0.333333    0.256700    0.000000   \n",
       "517   0.666667       0.5         0.375      0.333333    0.626939    0.256709   \n",
       "\n",
       "      OpenPorchSF  EnclosedPorch  3SsnPorch  ScreenPorch  PoolArea  MiscVal  \\\n",
       "744      0.000000       0.126812   0.330709     0.000000       0.0      0.0   \n",
       "1184     0.502868       0.000000   0.000000     0.597727       0.0      0.0   \n",
       "369      0.032505       0.000000   0.000000     0.413636       0.0      0.0   \n",
       "627      0.000000       0.342391   0.000000     0.000000       0.0      0.0   \n",
       "517      0.000000       0.000000   0.000000     0.000000       0.0      0.0   \n",
       "\n",
       "      AgeHouse  MSZoning_RL  LotShape_Reg  LotConfig_Inside  \\\n",
       "744   0.110294            1             0                 1   \n",
       "1184  0.323529            1             1                 1   \n",
       "369   0.375000            1             0                 0   \n",
       "627   0.404412            1             1                 1   \n",
       "517   0.095588            1             0                 1   \n",
       "\n",
       "      Neighborhood_BrkSide  Neighborhood_CollgCr  Neighborhood_Crawfor  \\\n",
       "744                      0                     0                     0   \n",
       "1184                     0                     0                     0   \n",
       "369                      0                     0                     0   \n",
       "627                      0                     0                     0   \n",
       "517                      0                     0                     0   \n",
       "\n",
       "      Neighborhood_Edwards  Neighborhood_Gilbert  Neighborhood_NAmes  \\\n",
       "744                      0                     0                   0   \n",
       "1184                     0                     0                   0   \n",
       "369                      0                     0                   1   \n",
       "627                      0                     0                   1   \n",
       "517                      0                     0                   0   \n",
       "\n",
       "      Neighborhood_NWAmes  Neighborhood_NridgHt  Neighborhood_OldTown  \\\n",
       "744                     0                     0                     0   \n",
       "1184                    0                     0                     0   \n",
       "369                     0                     0                     0   \n",
       "627                     0                     0                     0   \n",
       "517                     0                     0                     0   \n",
       "\n",
       "      Neighborhood_Sawyer  Neighborhood_SawyerW  Neighborhood_Somerst  \\\n",
       "744                     0                     0                     0   \n",
       "1184                    0                     0                     0   \n",
       "369                     0                     0                     0   \n",
       "627                     0                     0                     0   \n",
       "517                     0                     0                     0   \n",
       "\n",
       "      Condition1_Feedr  Condition1_Norm  OverallQual_4  OverallQual_5  \\\n",
       "744                  0                1              0              0   \n",
       "1184                 0                1              0              1   \n",
       "369                  0                1              0              1   \n",
       "627                  0                1              0              0   \n",
       "517                  0                1              0              0   \n",
       "\n",
       "      OverallQual_6  OverallQual_7  OverallQual_8  OverallCond_5  \\\n",
       "744               0              0              1              1   \n",
       "1184              0              0              0              0   \n",
       "369               0              0              0              0   \n",
       "627               1              0              0              0   \n",
       "517               0              1              0              1   \n",
       "\n",
       "      OverallCond_6  OverallCond_7  OverallCond_8  RoofStyle_Gable  \\\n",
       "744               0              0              0                1   \n",
       "1184              0              0              0                0   \n",
       "369               0              1              0                1   \n",
       "627               1              0              0                1   \n",
       "517               0              0              0                1   \n",
       "\n",
       "      Exterior1st_HdBoard  Exterior1st_MetalSd  Exterior1st_Plywood  \\\n",
       "744                     1                    0                    0   \n",
       "1184                    0                    1                    0   \n",
       "369                     0                    0                    0   \n",
       "627                     0                    0                    0   \n",
       "517                     0                    0                    0   \n",
       "\n",
       "      Exterior1st_VinylSd  Exterior1st_Wd Sdng  MasVnrType_None  \\\n",
       "744                     0                    0                1   \n",
       "1184                    0                    0                0   \n",
       "369                     0                    1                1   \n",
       "627                     0                    0                0   \n",
       "517                     1                    0                0   \n",
       "\n",
       "      MasVnrType_Stone  ExterQual_TA  Foundation_BrkTil  Foundation_PConc  \\\n",
       "744                  0             0                  0                 1   \n",
       "1184                 0             1                  0                 0   \n",
       "369                  0             1                  0                 0   \n",
       "627                  0             1                  0                 0   \n",
       "517                  0             0                  0                 1   \n",
       "\n",
       "      BsmtQual_Ex  BsmtQual_TA  BsmtExposure_Av  BsmtExposure_Gd  \\\n",
       "744             0            0                0                0   \n",
       "1184            0            1                0                1   \n",
       "369             0            1                0                0   \n",
       "627             0            1                1                0   \n",
       "517             0            0                0                0   \n",
       "\n",
       "      BsmtExposure_Mn  BsmtExposure_No  BsmtFinType1_ALQ  BsmtFinType1_BLQ  \\\n",
       "744                 0                1                 0                 0   \n",
       "1184                0                0                 0                 0   \n",
       "369                 0                1                 1                 0   \n",
       "627                 0                0                 0                 1   \n",
       "517                 0                1                 0                 0   \n",
       "\n",
       "      BsmtFinType1_GLQ  BsmtFinType1_LwQ  BsmtFinType1_Rec  BsmtFinType1_Unf  \\\n",
       "744                  1                 0                 0                 0   \n",
       "1184                 0                 0                 1                 0   \n",
       "369                  0                 0                 0                 0   \n",
       "627                  0                 0                 0                 0   \n",
       "517                  0                 0                 0                 1   \n",
       "\n",
       "      HeatingQC_Ex  HeatingQC_Gd  HeatingQC_TA  KitchenQual_TA  \\\n",
       "744              0             1             0               0   \n",
       "1184             0             1             0               1   \n",
       "369              1             0             0               0   \n",
       "627              1             0             0               1   \n",
       "517              1             0             0               0   \n",
       "\n",
       "      FireplaceQu_Gd  FireplaceQu_No Fireplace  FireplaceQu_TA  \\\n",
       "744                0                         0               1   \n",
       "1184               0                         0               1   \n",
       "369                1                         0               0   \n",
       "627                1                         0               0   \n",
       "517                0                         0               1   \n",
       "\n",
       "      GarageType_Attchd  GarageType_BuiltIn  GarageType_No Garage  \\\n",
       "744                   1                   0                     0   \n",
       "1184                  0                   0                     0   \n",
       "369                   0                   0                     0   \n",
       "627                   0                   0                     0   \n",
       "517                   1                   0                     0   \n",
       "\n",
       "      GarageFinish_Fin  GarageFinish_RFn  GarageFinish_Unf  Fence_No Fence  \\\n",
       "744                  0                 1                 0               1   \n",
       "1184                 0                 1                 0               1   \n",
       "369                  1                 0                 0               1   \n",
       "627                  0                 1                 0               1   \n",
       "517                  0                 1                 0               1   \n",
       "\n",
       "      SaleCondition_Abnorml  SaleCondition_Normal  SaleCondition_Partial  \\\n",
       "744                       0                     1                      0   \n",
       "1184                      0                     1                      0   \n",
       "369                       0                     1                      0   \n",
       "627                       0                     1                      0   \n",
       "517                       0                     1                      0   \n",
       "\n",
       "      MSSubClass_20  MSSubClass_50  MSSubClass_60  MSSubClass_120  \n",
       "744               0              0              0               1  \n",
       "1184              1              0              0               0  \n",
       "369               1              0              0               0  \n",
       "627               0              0              0               0  \n",
       "517               0              0              1               0  "
      ]
     },
     "execution_count": 703,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "X_train.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 704,
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
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       "\n",
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       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>LotFrontage</th>\n",
       "      <th>LotArea</th>\n",
       "      <th>MasVnrArea</th>\n",
       "      <th>BsmtFinSF1</th>\n",
       "      <th>BsmtFinSF2</th>\n",
       "      <th>BsmtUnfSF</th>\n",
       "      <th>TotalBsmtSF</th>\n",
       "      <th>1stFlrSF</th>\n",
       "      <th>2ndFlrSF</th>\n",
       "      <th>LowQualFinSF</th>\n",
       "      <th>GrLivArea</th>\n",
       "      <th>BsmtFullBath</th>\n",
       "      <th>BsmtHalfBath</th>\n",
       "      <th>FullBath</th>\n",
       "      <th>HalfBath</th>\n",
       "      <th>BedroomAbvGr</th>\n",
       "      <th>KitchenAbvGr</th>\n",
       "      <th>TotRmsAbvGrd</th>\n",
       "      <th>Fireplaces</th>\n",
       "      <th>GarageCars</th>\n",
       "      <th>GarageArea</th>\n",
       "      <th>WoodDeckSF</th>\n",
       "      <th>OpenPorchSF</th>\n",
       "      <th>EnclosedPorch</th>\n",
       "      <th>3SsnPorch</th>\n",
       "      <th>ScreenPorch</th>\n",
       "      <th>PoolArea</th>\n",
       "      <th>MiscVal</th>\n",
       "      <th>SalePrice</th>\n",
       "      <th>AgeHouse</th>\n",
       "      <th>MSZoning_RL</th>\n",
       "      <th>MSZoning_RM</th>\n",
       "      <th>LotShape_IR1</th>\n",
       "      <th>LotShape_Reg</th>\n",
       "      <th>LotConfig_Corner</th>\n",
       "      <th>LotConfig_Inside</th>\n",
       "      <th>Neighborhood_BrkSide</th>\n",
       "      <th>Neighborhood_CollgCr</th>\n",
       "      <th>Neighborhood_Crawfor</th>\n",
       "      <th>Neighborhood_Edwards</th>\n",
       "      <th>Neighborhood_Gilbert</th>\n",
       "      <th>Neighborhood_NAmes</th>\n",
       "      <th>Neighborhood_NWAmes</th>\n",
       "      <th>Neighborhood_NridgHt</th>\n",
       "      <th>Neighborhood_OldTown</th>\n",
       "      <th>Neighborhood_Sawyer</th>\n",
       "      <th>Neighborhood_SawyerW</th>\n",
       "      <th>Neighborhood_Somerst</th>\n",
       "      <th>Condition1_Feedr</th>\n",
       "      <th>Condition1_Norm</th>\n",
       "      <th>HouseStyle_1.5Fin</th>\n",
       "      <th>HouseStyle_1Story</th>\n",
       "      <th>HouseStyle_2Story</th>\n",
       "      <th>OverallQual_4</th>\n",
       "      <th>OverallQual_5</th>\n",
       "      <th>OverallQual_6</th>\n",
       "      <th>OverallQual_7</th>\n",
       "      <th>OverallQual_8</th>\n",
       "      <th>OverallCond_5</th>\n",
       "      <th>OverallCond_6</th>\n",
       "      <th>OverallCond_7</th>\n",
       "      <th>OverallCond_8</th>\n",
       "      <th>RoofStyle_Gable</th>\n",
       "      <th>RoofStyle_Hip</th>\n",
       "      <th>Exterior1st_HdBoard</th>\n",
       "      <th>Exterior1st_MetalSd</th>\n",
       "      <th>Exterior1st_Plywood</th>\n",
       "      <th>Exterior1st_VinylSd</th>\n",
       "      <th>Exterior1st_Wd Sdng</th>\n",
       "      <th>Exterior2nd_HdBoard</th>\n",
       "      <th>Exterior2nd_MetalSd</th>\n",
       "      <th>Exterior2nd_Plywood</th>\n",
       "      <th>Exterior2nd_VinylSd</th>\n",
       "      <th>Exterior2nd_Wd Sdng</th>\n",
       "      <th>MasVnrType_BrkFace</th>\n",
       "      <th>MasVnrType_None</th>\n",
       "      <th>MasVnrType_Stone</th>\n",
       "      <th>ExterQual_Gd</th>\n",
       "      <th>ExterQual_TA</th>\n",
       "      <th>Foundation_BrkTil</th>\n",
       "      <th>Foundation_CBlock</th>\n",
       "      <th>Foundation_PConc</th>\n",
       "      <th>BsmtQual_Ex</th>\n",
       "      <th>BsmtQual_Gd</th>\n",
       "      <th>BsmtQual_TA</th>\n",
       "      <th>BsmtExposure_Av</th>\n",
       "      <th>BsmtExposure_Gd</th>\n",
       "      <th>BsmtExposure_Mn</th>\n",
       "      <th>BsmtExposure_No</th>\n",
       "      <th>BsmtFinType1_ALQ</th>\n",
       "      <th>BsmtFinType1_BLQ</th>\n",
       "      <th>BsmtFinType1_GLQ</th>\n",
       "      <th>BsmtFinType1_LwQ</th>\n",
       "      <th>BsmtFinType1_Rec</th>\n",
       "      <th>BsmtFinType1_Unf</th>\n",
       "      <th>HeatingQC_Ex</th>\n",
       "      <th>HeatingQC_Gd</th>\n",
       "      <th>HeatingQC_TA</th>\n",
       "      <th>KitchenQual_Gd</th>\n",
       "      <th>KitchenQual_TA</th>\n",
       "      <th>FireplaceQu_Gd</th>\n",
       "      <th>FireplaceQu_No Fireplace</th>\n",
       "      <th>FireplaceQu_TA</th>\n",
       "      <th>GarageType_Attchd</th>\n",
       "      <th>GarageType_BuiltIn</th>\n",
       "      <th>GarageType_Detchd</th>\n",
       "      <th>GarageType_No Garage</th>\n",
       "      <th>GarageFinish_Fin</th>\n",
       "      <th>GarageFinish_RFn</th>\n",
       "      <th>GarageFinish_Unf</th>\n",
       "      <th>Fence_MnPrv</th>\n",
       "      <th>Fence_No Fence</th>\n",
       "      <th>SaleCondition_Abnorml</th>\n",
       "      <th>SaleCondition_Normal</th>\n",
       "      <th>SaleCondition_Partial</th>\n",
       "      <th>MSSubClass_20</th>\n",
       "      <th>MSSubClass_50</th>\n",
       "      <th>MSSubClass_60</th>\n",
       "      <th>MSSubClass_120</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
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       "      <td>0.666667</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.500</td>\n",
       "      <td>0.333333</td>\n",
       "      <td>0.500000</td>\n",
       "      <td>0.333333</td>\n",
       "      <td>0.50</td>\n",
       "      <td>0.279267</td>\n",
       "      <td>0.084014</td>\n",
       "      <td>0.068834</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.327273</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.211379</td>\n",
       "      <td>0.661765</td>\n",
       "      <td>1</td>\n",
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       "      <td>0.140166</td>\n",
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      ],
      "text/plain": [
       "      LotFrontage   LotArea  MasVnrArea  BsmtFinSF1  BsmtFinSF2  BsmtUnfSF  \\\n",
       "157      0.243151  0.050027    0.052500    0.000000         0.0   0.331336   \n",
       "337      0.167808  0.036622    0.070625    0.143515         0.0   0.310788   \n",
       "1120     0.130137  0.032546    0.000000    0.000000         0.0   0.433219   \n",
       "563      0.154110  0.095726    0.000000    0.000000         0.0   0.497860   \n",
       "371      0.202055  0.073944    0.000000    0.000000         0.0   0.000000   \n",
       "\n",
       "      TotalBsmtSF  1stFlrSF  2ndFlrSF  LowQualFinSF  GrLivArea  BsmtFullBath  \\\n",
       "157      0.126678  0.100964  0.578208           0.0   0.307837      0.000000   \n",
       "337      0.251391  0.275815  0.000000           0.0   0.226451      0.333333   \n",
       "1120     0.165630  0.155576  0.000000           0.0   0.127732      0.000000   \n",
       "563      0.190344  0.190225  0.247458           0.0   0.252449      0.000000   \n",
       "371      0.000000  0.180358  0.226634           0.0   0.236247      0.000000   \n",
       "\n",
       "      BsmtHalfBath  FullBath  HalfBath  BedroomAbvGr  KitchenAbvGr  \\\n",
       "157            0.0  0.666667       0.5         0.500      0.333333   \n",
       "337            0.0  0.666667       0.0         0.375      0.333333   \n",
       "1120           0.0  0.333333       0.0         0.250      0.333333   \n",
       "563            0.0  0.666667       0.0         0.500      0.333333   \n",
       "371            0.0  0.666667       0.0         0.500      0.333333   \n",
       "\n",
       "      TotRmsAbvGrd  Fireplaces  GarageCars  GarageArea  WoodDeckSF  \\\n",
       "157       0.500000    0.333333        0.75    0.479549    0.000000   \n",
       "337       0.416667    0.000000        0.50    0.375176    0.224037   \n",
       "1120      0.333333    0.333333        0.25    0.217207    0.000000   \n",
       "563       0.500000    0.333333        0.50    0.279267    0.084014   \n",
       "371       0.416667    0.333333        0.50    0.479549    0.000000   \n",
       "\n",
       "      OpenPorchSF  EnclosedPorch  3SsnPorch  ScreenPorch  PoolArea  MiscVal  \\\n",
       "157      0.143403       0.000000        0.0     0.000000       0.0      0.0   \n",
       "337      0.141491       0.000000        0.0     0.000000       0.0      0.0   \n",
       "1120     0.042065       0.202899        0.0     0.000000       0.0      0.0   \n",
       "563      0.068834       0.000000        0.0     0.327273       0.0      0.0   \n",
       "371      0.112811       0.000000        0.0     0.000000       0.0      0.0   \n",
       "\n",
       "      SalePrice  AgeHouse  MSZoning_RL  MSZoning_RM  LotShape_IR1  \\\n",
       "157    0.330376  0.007353            1            0             0   \n",
       "337    0.252218  0.044118            1            0             0   \n",
       "1120   0.117589  0.639706            0            1             0   \n",
       "563    0.211379  0.661765            1            0             0   \n",
       "371    0.140166  0.360294            1            0             0   \n",
       "\n",
       "      LotShape_Reg  LotConfig_Corner  LotConfig_Inside  Neighborhood_BrkSide  \\\n",
       "157              1                 1                 0                     0   \n",
       "337              1                 0                 1                     0   \n",
       "1120             1                 0                 1                     0   \n",
       "563              1                 0                 1                     0   \n",
       "371              1                 0                 1                     0   \n",
       "\n",
       "      Neighborhood_CollgCr  Neighborhood_Crawfor  Neighborhood_Edwards  \\\n",
       "157                      0                     0                     0   \n",
       "337                      1                     0                     0   \n",
       "1120                     0                     0                     0   \n",
       "563                      0                     0                     1   \n",
       "371                      0                     0                     0   \n",
       "\n",
       "      Neighborhood_Gilbert  Neighborhood_NAmes  Neighborhood_NWAmes  \\\n",
       "157                      0                   0                    0   \n",
       "337                      0                   0                    0   \n",
       "1120                     0                   0                    0   \n",
       "563                      0                   0                    0   \n",
       "371                      0                   0                    0   \n",
       "\n",
       "      Neighborhood_NridgHt  Neighborhood_OldTown  Neighborhood_Sawyer  \\\n",
       "157                      0                     0                    0   \n",
       "337                      0                     0                    0   \n",
       "1120                     0                     0                    0   \n",
       "563                      0                     0                    0   \n",
       "371                      0                     0                    0   \n",
       "\n",
       "      Neighborhood_SawyerW  Neighborhood_Somerst  Condition1_Feedr  \\\n",
       "157                      0                     0                 0   \n",
       "337                      0                     0                 0   \n",
       "1120                     0                     0                 0   \n",
       "563                      0                     0                 0   \n",
       "371                      0                     0                 1   \n",
       "\n",
       "      Condition1_Norm  HouseStyle_1.5Fin  HouseStyle_1Story  \\\n",
       "157                 1                  0                  0   \n",
       "337                 1                  0                  1   \n",
       "1120                1                  0                  1   \n",
       "563                 1                  1                  0   \n",
       "371                 0                  1                  0   \n",
       "\n",
       "      HouseStyle_2Story  OverallQual_4  OverallQual_5  OverallQual_6  \\\n",
       "157                   1              0              0              0   \n",
       "337                   0              0              0              0   \n",
       "1120                  0              0              0              1   \n",
       "563                   0              0              0              1   \n",
       "371                   0              1              0              0   \n",
       "\n",
       "      OverallQual_7  OverallQual_8  OverallCond_5  OverallCond_6  \\\n",
       "157               0              1              1              0   \n",
       "337               1              0              1              0   \n",
       "1120              0              0              1              0   \n",
       "563               0              0              0              0   \n",
       "371               0              0              0              0   \n",
       "\n",
       "      OverallCond_7  OverallCond_8  RoofStyle_Gable  RoofStyle_Hip  \\\n",
       "157               0              0                1              0   \n",
       "337               0              0                1              0   \n",
       "1120              0              0                1              0   \n",
       "563               1              0                1              0   \n",
       "371               0              0                1              0   \n",
       "\n",
       "      Exterior1st_HdBoard  Exterior1st_MetalSd  Exterior1st_Plywood  \\\n",
       "157                     0                    0                    0   \n",
       "337                     0                    0                    0   \n",
       "1120                    0                    0                    0   \n",
       "563                     0                    0                    0   \n",
       "371                     0                    0                    0   \n",
       "\n",
       "      Exterior1st_VinylSd  Exterior1st_Wd Sdng  Exterior2nd_HdBoard  \\\n",
       "157                     1                    0                    0   \n",
       "337                     1                    0                    0   \n",
       "1120                    0                    0                    0   \n",
       "563                     0                    1                    0   \n",
       "371                     0                    0                    0   \n",
       "\n",
       "      Exterior2nd_MetalSd  Exterior2nd_Plywood  Exterior2nd_VinylSd  \\\n",
       "157                     0                    0                    1   \n",
       "337                     0                    0                    1   \n",
       "1120                    0                    0                    0   \n",
       "563                     0                    0                    0   \n",
       "371                     0                    1                    0   \n",
       "\n",
       "      Exterior2nd_Wd Sdng  MasVnrType_BrkFace  MasVnrType_None  \\\n",
       "157                     0                   1                0   \n",
       "337                     0                   1                0   \n",
       "1120                    0                   0                1   \n",
       "563                     1                   0                1   \n",
       "371                     0                   0                1   \n",
       "\n",
       "      MasVnrType_Stone  ExterQual_Gd  ExterQual_TA  Foundation_BrkTil  \\\n",
       "157                  0             1             0                  0   \n",
       "337                  0             1             0                  0   \n",
       "1120                 0             0             1                  1   \n",
       "563                  0             0             1                  1   \n",
       "371                  0             0             1                  0   \n",
       "\n",
       "      Foundation_CBlock  Foundation_PConc  BsmtQual_Ex  BsmtQual_Gd  \\\n",
       "157                   0                 1            1            0   \n",
       "337                   0                 1            0            1   \n",
       "1120                  0                 0            0            0   \n",
       "563                   0                 0            0            1   \n",
       "371                   1                 0            0            0   \n",
       "\n",
       "      BsmtQual_TA  BsmtExposure_Av  BsmtExposure_Gd  BsmtExposure_Mn  \\\n",
       "157             0                0                0                0   \n",
       "337             0                1                0                0   \n",
       "1120            1                0                0                0   \n",
       "563             0                0                0                1   \n",
       "371             0                0                0                0   \n",
       "\n",
       "      BsmtExposure_No  BsmtFinType1_ALQ  BsmtFinType1_BLQ  BsmtFinType1_GLQ  \\\n",
       "157                 1                 0                 0                 0   \n",
       "337                 0                 0                 0                 1   \n",
       "1120                1                 0                 0                 0   \n",
       "563                 0                 0                 0                 0   \n",
       "371                 0                 0                 0                 0   \n",
       "\n",
       "      BsmtFinType1_LwQ  BsmtFinType1_Rec  BsmtFinType1_Unf  HeatingQC_Ex  \\\n",
       "157                  0                 0                 1             1   \n",
       "337                  0                 0                 0             1   \n",
       "1120                 0                 0                 1             0   \n",
       "563                  0                 0                 1             1   \n",
       "371                  0                 0                 0             0   \n",
       "\n",
       "      HeatingQC_Gd  HeatingQC_TA  KitchenQual_Gd  KitchenQual_TA  \\\n",
       "157              0             0               0               0   \n",
       "337              0             0               1               0   \n",
       "1120             0             1               0               1   \n",
       "563              0             0               0               1   \n",
       "371              0             1               0               1   \n",
       "\n",
       "      FireplaceQu_Gd  FireplaceQu_No Fireplace  FireplaceQu_TA  \\\n",
       "157                1                         0               0   \n",
       "337                0                         1               0   \n",
       "1120               1                         0               0   \n",
       "563                1                         0               0   \n",
       "371                1                         0               0   \n",
       "\n",
       "      GarageType_Attchd  GarageType_BuiltIn  GarageType_Detchd  \\\n",
       "157                   0                   1                  0   \n",
       "337                   1                   0                  0   \n",
       "1120                  0                   0                  1   \n",
       "563                   0                   0                  1   \n",
       "371                   0                   0                  1   \n",
       "\n",
       "      GarageType_No Garage  GarageFinish_Fin  GarageFinish_RFn  \\\n",
       "157                      0                 1                 0   \n",
       "337                      0                 0                 1   \n",
       "1120                     0                 0                 0   \n",
       "563                      0                 1                 0   \n",
       "371                      0                 1                 0   \n",
       "\n",
       "      GarageFinish_Unf  Fence_MnPrv  Fence_No Fence  SaleCondition_Abnorml  \\\n",
       "157                  0            0               1                      0   \n",
       "337                  0            0               1                      0   \n",
       "1120                 1            1               0                      0   \n",
       "563                  0            0               1                      0   \n",
       "371                  0            0               1                      0   \n",
       "\n",
       "      SaleCondition_Normal  SaleCondition_Partial  MSSubClass_20  \\\n",
       "157                      0                      1              0   \n",
       "337                      1                      0              1   \n",
       "1120                     1                      0              0   \n",
       "563                      1                      0              0   \n",
       "371                      1                      0              0   \n",
       "\n",
       "      MSSubClass_50  MSSubClass_60  MSSubClass_120  \n",
       "157               0              1               0  \n",
       "337               0              0               0  \n",
       "1120              0              0               0  \n",
       "563               1              0               0  \n",
       "371               1              0               0  "
      ]
     },
     "execution_count": 704,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Scale the test set variables with min-max scaler\n",
    "# We don't fit scaler on the test set. We only transform the test set.\n",
    "df_test[numeric_cols] = scaler.transform(df_test[numeric_cols]) \n",
    "df_test.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 705,
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>LotFrontage</th>\n",
       "      <th>LotArea</th>\n",
       "      <th>MasVnrArea</th>\n",
       "      <th>BsmtFinSF1</th>\n",
       "      <th>BsmtFinSF2</th>\n",
       "      <th>BsmtUnfSF</th>\n",
       "      <th>TotalBsmtSF</th>\n",
       "      <th>1stFlrSF</th>\n",
       "      <th>2ndFlrSF</th>\n",
       "      <th>LowQualFinSF</th>\n",
       "      <th>GrLivArea</th>\n",
       "      <th>BsmtFullBath</th>\n",
       "      <th>BsmtHalfBath</th>\n",
       "      <th>FullBath</th>\n",
       "      <th>HalfBath</th>\n",
       "      <th>BedroomAbvGr</th>\n",
       "      <th>KitchenAbvGr</th>\n",
       "      <th>TotRmsAbvGrd</th>\n",
       "      <th>Fireplaces</th>\n",
       "      <th>GarageCars</th>\n",
       "      <th>GarageArea</th>\n",
       "      <th>WoodDeckSF</th>\n",
       "      <th>OpenPorchSF</th>\n",
       "      <th>EnclosedPorch</th>\n",
       "      <th>3SsnPorch</th>\n",
       "      <th>ScreenPorch</th>\n",
       "      <th>PoolArea</th>\n",
       "      <th>MiscVal</th>\n",
       "      <th>SalePrice</th>\n",
       "      <th>AgeHouse</th>\n",
       "      <th>MSZoning_RL</th>\n",
       "      <th>MSZoning_RM</th>\n",
       "      <th>LotShape_IR1</th>\n",
       "      <th>LotShape_Reg</th>\n",
       "      <th>LotConfig_Corner</th>\n",
       "      <th>LotConfig_Inside</th>\n",
       "      <th>Neighborhood_BrkSide</th>\n",
       "      <th>Neighborhood_CollgCr</th>\n",
       "      <th>Neighborhood_Crawfor</th>\n",
       "      <th>Neighborhood_Edwards</th>\n",
       "      <th>Neighborhood_Gilbert</th>\n",
       "      <th>Neighborhood_NAmes</th>\n",
       "      <th>Neighborhood_NWAmes</th>\n",
       "      <th>Neighborhood_NridgHt</th>\n",
       "      <th>Neighborhood_OldTown</th>\n",
       "      <th>Neighborhood_Sawyer</th>\n",
       "      <th>Neighborhood_SawyerW</th>\n",
       "      <th>Neighborhood_Somerst</th>\n",
       "      <th>Condition1_Feedr</th>\n",
       "      <th>Condition1_Norm</th>\n",
       "      <th>HouseStyle_1.5Fin</th>\n",
       "      <th>HouseStyle_1Story</th>\n",
       "      <th>HouseStyle_2Story</th>\n",
       "      <th>OverallQual_4</th>\n",
       "      <th>OverallQual_5</th>\n",
       "      <th>OverallQual_6</th>\n",
       "      <th>OverallQual_7</th>\n",
       "      <th>OverallQual_8</th>\n",
       "      <th>OverallCond_5</th>\n",
       "      <th>OverallCond_6</th>\n",
       "      <th>OverallCond_7</th>\n",
       "      <th>OverallCond_8</th>\n",
       "      <th>RoofStyle_Gable</th>\n",
       "      <th>RoofStyle_Hip</th>\n",
       "      <th>Exterior1st_HdBoard</th>\n",
       "      <th>Exterior1st_MetalSd</th>\n",
       "      <th>Exterior1st_Plywood</th>\n",
       "      <th>Exterior1st_VinylSd</th>\n",
       "      <th>Exterior1st_Wd Sdng</th>\n",
       "      <th>Exterior2nd_HdBoard</th>\n",
       "      <th>Exterior2nd_MetalSd</th>\n",
       "      <th>Exterior2nd_Plywood</th>\n",
       "      <th>Exterior2nd_VinylSd</th>\n",
       "      <th>Exterior2nd_Wd Sdng</th>\n",
       "      <th>MasVnrType_BrkFace</th>\n",
       "      <th>MasVnrType_None</th>\n",
       "      <th>MasVnrType_Stone</th>\n",
       "      <th>ExterQual_Gd</th>\n",
       "      <th>ExterQual_TA</th>\n",
       "      <th>Foundation_BrkTil</th>\n",
       "      <th>Foundation_CBlock</th>\n",
       "      <th>Foundation_PConc</th>\n",
       "      <th>BsmtQual_Ex</th>\n",
       "      <th>BsmtQual_Gd</th>\n",
       "      <th>BsmtQual_TA</th>\n",
       "      <th>BsmtExposure_Av</th>\n",
       "      <th>BsmtExposure_Gd</th>\n",
       "      <th>BsmtExposure_Mn</th>\n",
       "      <th>BsmtExposure_No</th>\n",
       "      <th>BsmtFinType1_ALQ</th>\n",
       "      <th>BsmtFinType1_BLQ</th>\n",
       "      <th>BsmtFinType1_GLQ</th>\n",
       "      <th>BsmtFinType1_LwQ</th>\n",
       "      <th>BsmtFinType1_Rec</th>\n",
       "      <th>BsmtFinType1_Unf</th>\n",
       "      <th>HeatingQC_Ex</th>\n",
       "      <th>HeatingQC_Gd</th>\n",
       "      <th>HeatingQC_TA</th>\n",
       "      <th>KitchenQual_Gd</th>\n",
       "      <th>KitchenQual_TA</th>\n",
       "      <th>FireplaceQu_Gd</th>\n",
       "      <th>FireplaceQu_No Fireplace</th>\n",
       "      <th>FireplaceQu_TA</th>\n",
       "      <th>GarageType_Attchd</th>\n",
       "      <th>GarageType_BuiltIn</th>\n",
       "      <th>GarageType_Detchd</th>\n",
       "      <th>GarageType_No Garage</th>\n",
       "      <th>GarageFinish_Fin</th>\n",
       "      <th>GarageFinish_RFn</th>\n",
       "      <th>GarageFinish_Unf</th>\n",
       "      <th>Fence_MnPrv</th>\n",
       "      <th>Fence_No Fence</th>\n",
       "      <th>SaleCondition_Abnorml</th>\n",
       "      <th>SaleCondition_Normal</th>\n",
       "      <th>SaleCondition_Partial</th>\n",
       "      <th>MSSubClass_20</th>\n",
       "      <th>MSSubClass_50</th>\n",
       "      <th>MSSubClass_60</th>\n",
       "      <th>MSSubClass_120</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>count</th>\n",
       "      <td>291.000000</td>\n",
       "      <td>291.000000</td>\n",
       "      <td>291.000000</td>\n",
       "      <td>291.000000</td>\n",
       "      <td>291.000000</td>\n",
       "      <td>291.000000</td>\n",
       "      <td>291.000000</td>\n",
       "      <td>291.000000</td>\n",
       "      <td>291.000000</td>\n",
       "      <td>291.000000</td>\n",
       "      <td>291.000000</td>\n",
       "      <td>291.000000</td>\n",
       "      <td>291.000000</td>\n",
       "      <td>291.000000</td>\n",
       "      <td>291.000000</td>\n",
       "      <td>291.000000</td>\n",
       "      <td>291.000000</td>\n",
       "      <td>291.000000</td>\n",
       "      <td>291.000000</td>\n",
       "      <td>291.000000</td>\n",
       "      <td>291.000000</td>\n",
       "      <td>291.000000</td>\n",
       "      <td>291.000000</td>\n",
       "      <td>291.000000</td>\n",
       "      <td>291.000000</td>\n",
       "      <td>291.000000</td>\n",
       "      <td>291.000000</td>\n",
       "      <td>291.000000</td>\n",
       "      <td>291.000000</td>\n",
       "      <td>291.000000</td>\n",
       "      <td>291.000000</td>\n",
       "      <td>291.000000</td>\n",
       "      <td>291.000000</td>\n",
       "      <td>291.000000</td>\n",
       "      <td>291.000000</td>\n",
       "      <td>291.000000</td>\n",
       "      <td>291.000000</td>\n",
       "      <td>291.000000</td>\n",
       "      <td>291.000000</td>\n",
       "      <td>291.000000</td>\n",
       "      <td>291.000000</td>\n",
       "      <td>291.000000</td>\n",
       "      <td>291.000000</td>\n",
       "      <td>291.000000</td>\n",
       "      <td>291.000000</td>\n",
       "      <td>291.000000</td>\n",
       "      <td>291.000000</td>\n",
       "      <td>291.000000</td>\n",
       "      <td>291.000000</td>\n",
       "      <td>291.000000</td>\n",
       "      <td>291.000000</td>\n",
       "      <td>291.000000</td>\n",
       "      <td>291.000000</td>\n",
       "      <td>291.000000</td>\n",
       "      <td>291.000000</td>\n",
       "      <td>291.000000</td>\n",
       "      <td>291.000000</td>\n",
       "      <td>291.000000</td>\n",
       "      <td>291.000000</td>\n",
       "      <td>291.000000</td>\n",
       "      <td>291.000000</td>\n",
       "      <td>291.000000</td>\n",
       "      <td>291.000000</td>\n",
       "      <td>291.000000</td>\n",
       "      <td>291.000000</td>\n",
       "      <td>291.000000</td>\n",
       "      <td>291.000000</td>\n",
       "      <td>291.000000</td>\n",
       "      <td>291.000000</td>\n",
       "      <td>291.000000</td>\n",
       "      <td>291.000000</td>\n",
       "      <td>291.000000</td>\n",
       "      <td>291.000000</td>\n",
       "      <td>291.000000</td>\n",
       "      <td>291.000000</td>\n",
       "      <td>291.000000</td>\n",
       "      <td>291.000000</td>\n",
       "      <td>291.000000</td>\n",
       "      <td>291.000000</td>\n",
       "      <td>291.000000</td>\n",
       "      <td>291.000000</td>\n",
       "      <td>291.000000</td>\n",
       "      <td>291.000000</td>\n",
       "      <td>291.000000</td>\n",
       "      <td>291.000000</td>\n",
       "      <td>291.000000</td>\n",
       "      <td>291.000000</td>\n",
       "      <td>291.000000</td>\n",
       "      <td>291.000000</td>\n",
       "      <td>291.000000</td>\n",
       "      <td>291.000000</td>\n",
       "      <td>291.000000</td>\n",
       "      <td>291.000000</td>\n",
       "      <td>291.000000</td>\n",
       "      <td>291.000000</td>\n",
       "      <td>291.000000</td>\n",
       "      <td>291.000000</td>\n",
       "      <td>291.00000</td>\n",
       "      <td>291.000000</td>\n",
       "      <td>291.000000</td>\n",
       "      <td>291.00000</td>\n",
       "      <td>291.000000</td>\n",
       "      <td>291.000000</td>\n",
       "      <td>291.000000</td>\n",
       "      <td>291.000000</td>\n",
       "      <td>291.000000</td>\n",
       "      <td>291.000000</td>\n",
       "      <td>291.000000</td>\n",
       "      <td>291.000000</td>\n",
       "      <td>291.000000</td>\n",
       "      <td>291.000000</td>\n",
       "      <td>291.000000</td>\n",
       "      <td>291.000000</td>\n",
       "      <td>291.000000</td>\n",
       "      <td>291.000000</td>\n",
       "      <td>291.000000</td>\n",
       "      <td>291.000000</td>\n",
       "      <td>291.000000</td>\n",
       "      <td>291.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>mean</th>\n",
       "      <td>0.167279</td>\n",
       "      <td>0.041188</td>\n",
       "      <td>0.071523</td>\n",
       "      <td>0.076580</td>\n",
       "      <td>0.041173</td>\n",
       "      <td>0.247857</td>\n",
       "      <td>0.173095</td>\n",
       "      <td>0.190062</td>\n",
       "      <td>0.162494</td>\n",
       "      <td>0.012938</td>\n",
       "      <td>0.220517</td>\n",
       "      <td>0.142039</td>\n",
       "      <td>0.027491</td>\n",
       "      <td>0.518900</td>\n",
       "      <td>0.178694</td>\n",
       "      <td>0.361254</td>\n",
       "      <td>0.345934</td>\n",
       "      <td>0.377434</td>\n",
       "      <td>0.203895</td>\n",
       "      <td>0.447595</td>\n",
       "      <td>0.339908</td>\n",
       "      <td>0.119569</td>\n",
       "      <td>0.084380</td>\n",
       "      <td>0.030392</td>\n",
       "      <td>0.001387</td>\n",
       "      <td>0.043119</td>\n",
       "      <td>0.006968</td>\n",
       "      <td>0.002018</td>\n",
       "      <td>0.208137</td>\n",
       "      <td>0.269027</td>\n",
       "      <td>0.786942</td>\n",
       "      <td>0.144330</td>\n",
       "      <td>0.357388</td>\n",
       "      <td>0.618557</td>\n",
       "      <td>0.189003</td>\n",
       "      <td>0.707904</td>\n",
       "      <td>0.054983</td>\n",
       "      <td>0.127148</td>\n",
       "      <td>0.044674</td>\n",
       "      <td>0.075601</td>\n",
       "      <td>0.030928</td>\n",
       "      <td>0.161512</td>\n",
       "      <td>0.037801</td>\n",
       "      <td>0.048110</td>\n",
       "      <td>0.058419</td>\n",
       "      <td>0.061856</td>\n",
       "      <td>0.024055</td>\n",
       "      <td>0.068729</td>\n",
       "      <td>0.058419</td>\n",
       "      <td>0.859107</td>\n",
       "      <td>0.116838</td>\n",
       "      <td>0.529210</td>\n",
       "      <td>0.274914</td>\n",
       "      <td>0.072165</td>\n",
       "      <td>0.305842</td>\n",
       "      <td>0.243986</td>\n",
       "      <td>0.195876</td>\n",
       "      <td>0.134021</td>\n",
       "      <td>0.580756</td>\n",
       "      <td>0.182131</td>\n",
       "      <td>0.113402</td>\n",
       "      <td>0.051546</td>\n",
       "      <td>0.793814</td>\n",
       "      <td>0.195876</td>\n",
       "      <td>0.168385</td>\n",
       "      <td>0.140893</td>\n",
       "      <td>0.061856</td>\n",
       "      <td>0.371134</td>\n",
       "      <td>0.147766</td>\n",
       "      <td>0.151203</td>\n",
       "      <td>0.137457</td>\n",
       "      <td>0.103093</td>\n",
       "      <td>0.357388</td>\n",
       "      <td>0.147766</td>\n",
       "      <td>0.312715</td>\n",
       "      <td>0.573883</td>\n",
       "      <td>0.109966</td>\n",
       "      <td>0.326460</td>\n",
       "      <td>0.625430</td>\n",
       "      <td>0.109966</td>\n",
       "      <td>0.432990</td>\n",
       "      <td>0.432990</td>\n",
       "      <td>0.096220</td>\n",
       "      <td>0.395189</td>\n",
       "      <td>0.460481</td>\n",
       "      <td>0.137457</td>\n",
       "      <td>0.082474</td>\n",
       "      <td>0.116838</td>\n",
       "      <td>0.628866</td>\n",
       "      <td>0.147766</td>\n",
       "      <td>0.103093</td>\n",
       "      <td>0.274914</td>\n",
       "      <td>0.051546</td>\n",
       "      <td>0.092784</td>\n",
       "      <td>0.295533</td>\n",
       "      <td>0.505155</td>\n",
       "      <td>0.123711</td>\n",
       "      <td>0.33677</td>\n",
       "      <td>0.378007</td>\n",
       "      <td>0.515464</td>\n",
       "      <td>0.28866</td>\n",
       "      <td>0.460481</td>\n",
       "      <td>0.189003</td>\n",
       "      <td>0.587629</td>\n",
       "      <td>0.041237</td>\n",
       "      <td>0.333333</td>\n",
       "      <td>0.034364</td>\n",
       "      <td>0.250859</td>\n",
       "      <td>0.274914</td>\n",
       "      <td>0.439863</td>\n",
       "      <td>0.096220</td>\n",
       "      <td>0.800687</td>\n",
       "      <td>0.065292</td>\n",
       "      <td>0.817869</td>\n",
       "      <td>0.092784</td>\n",
       "      <td>0.395189</td>\n",
       "      <td>0.109966</td>\n",
       "      <td>0.182131</td>\n",
       "      <td>0.051546</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>std</th>\n",
       "      <td>0.066211</td>\n",
       "      <td>0.027326</td>\n",
       "      <td>0.119153</td>\n",
       "      <td>0.076675</td>\n",
       "      <td>0.143672</td>\n",
       "      <td>0.195236</td>\n",
       "      <td>0.066664</td>\n",
       "      <td>0.081127</td>\n",
       "      <td>0.214512</td>\n",
       "      <td>0.111258</td>\n",
       "      <td>0.099490</td>\n",
       "      <td>0.167425</td>\n",
       "      <td>0.114170</td>\n",
       "      <td>0.187558</td>\n",
       "      <td>0.243593</td>\n",
       "      <td>0.098611</td>\n",
       "      <td>0.063681</td>\n",
       "      <td>0.133522</td>\n",
       "      <td>0.206337</td>\n",
       "      <td>0.183485</td>\n",
       "      <td>0.144958</td>\n",
       "      <td>0.159000</td>\n",
       "      <td>0.121960</td>\n",
       "      <td>0.095217</td>\n",
       "      <td>0.021160</td>\n",
       "      <td>0.150418</td>\n",
       "      <td>0.084549</td>\n",
       "      <td>0.015505</td>\n",
       "      <td>0.119657</td>\n",
       "      <td>0.221821</td>\n",
       "      <td>0.410174</td>\n",
       "      <td>0.352029</td>\n",
       "      <td>0.480056</td>\n",
       "      <td>0.486578</td>\n",
       "      <td>0.392186</td>\n",
       "      <td>0.455510</td>\n",
       "      <td>0.228339</td>\n",
       "      <td>0.333712</td>\n",
       "      <td>0.206942</td>\n",
       "      <td>0.264815</td>\n",
       "      <td>0.173420</td>\n",
       "      <td>0.368637</td>\n",
       "      <td>0.191042</td>\n",
       "      <td>0.214367</td>\n",
       "      <td>0.234939</td>\n",
       "      <td>0.241308</td>\n",
       "      <td>0.153484</td>\n",
       "      <td>0.253428</td>\n",
       "      <td>0.234939</td>\n",
       "      <td>0.348511</td>\n",
       "      <td>0.321781</td>\n",
       "      <td>0.500006</td>\n",
       "      <td>0.447240</td>\n",
       "      <td>0.259207</td>\n",
       "      <td>0.461557</td>\n",
       "      <td>0.430224</td>\n",
       "      <td>0.397557</td>\n",
       "      <td>0.341261</td>\n",
       "      <td>0.494285</td>\n",
       "      <td>0.386617</td>\n",
       "      <td>0.317630</td>\n",
       "      <td>0.221490</td>\n",
       "      <td>0.405262</td>\n",
       "      <td>0.397557</td>\n",
       "      <td>0.374852</td>\n",
       "      <td>0.348511</td>\n",
       "      <td>0.241308</td>\n",
       "      <td>0.483940</td>\n",
       "      <td>0.355480</td>\n",
       "      <td>0.358864</td>\n",
       "      <td>0.344922</td>\n",
       "      <td>0.304604</td>\n",
       "      <td>0.480056</td>\n",
       "      <td>0.355480</td>\n",
       "      <td>0.464398</td>\n",
       "      <td>0.495363</td>\n",
       "      <td>0.313386</td>\n",
       "      <td>0.469726</td>\n",
       "      <td>0.484846</td>\n",
       "      <td>0.313386</td>\n",
       "      <td>0.496343</td>\n",
       "      <td>0.496343</td>\n",
       "      <td>0.295401</td>\n",
       "      <td>0.489733</td>\n",
       "      <td>0.499294</td>\n",
       "      <td>0.344922</td>\n",
       "      <td>0.275560</td>\n",
       "      <td>0.321781</td>\n",
       "      <td>0.483940</td>\n",
       "      <td>0.355480</td>\n",
       "      <td>0.304604</td>\n",
       "      <td>0.447240</td>\n",
       "      <td>0.221490</td>\n",
       "      <td>0.290629</td>\n",
       "      <td>0.457068</td>\n",
       "      <td>0.500835</td>\n",
       "      <td>0.329819</td>\n",
       "      <td>0.47342</td>\n",
       "      <td>0.485725</td>\n",
       "      <td>0.500622</td>\n",
       "      <td>0.45392</td>\n",
       "      <td>0.499294</td>\n",
       "      <td>0.392186</td>\n",
       "      <td>0.493109</td>\n",
       "      <td>0.199181</td>\n",
       "      <td>0.472217</td>\n",
       "      <td>0.182477</td>\n",
       "      <td>0.434254</td>\n",
       "      <td>0.447240</td>\n",
       "      <td>0.497225</td>\n",
       "      <td>0.295401</td>\n",
       "      <td>0.400172</td>\n",
       "      <td>0.247466</td>\n",
       "      <td>0.386617</td>\n",
       "      <td>0.290629</td>\n",
       "      <td>0.489733</td>\n",
       "      <td>0.313386</td>\n",
       "      <td>0.386617</td>\n",
       "      <td>0.221490</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>min</th>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.001776</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.008720</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.027506</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.125000</td>\n",
       "      <td>0.333333</td>\n",
       "      <td>0.083333</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000579</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.00000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.00000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25%</th>\n",
       "      <td>0.133562</td>\n",
       "      <td>0.029300</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.102740</td>\n",
       "      <td>0.132570</td>\n",
       "      <td>0.124943</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.150622</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.333333</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.250000</td>\n",
       "      <td>0.333333</td>\n",
       "      <td>0.333333</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.250000</td>\n",
       "      <td>0.230959</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.134453</td>\n",
       "      <td>0.044118</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.00000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.00000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>50%</th>\n",
       "      <td>0.164384</td>\n",
       "      <td>0.037743</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.066797</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.199058</td>\n",
       "      <td>0.162029</td>\n",
       "      <td>0.174851</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.214393</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.666667</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.375000</td>\n",
       "      <td>0.333333</td>\n",
       "      <td>0.333333</td>\n",
       "      <td>0.333333</td>\n",
       "      <td>0.500000</td>\n",
       "      <td>0.338505</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.047801</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.176172</td>\n",
       "      <td>0.257353</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.00000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.00000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>75%</th>\n",
       "      <td>0.200342</td>\n",
       "      <td>0.049506</td>\n",
       "      <td>0.105937</td>\n",
       "      <td>0.129607</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.361087</td>\n",
       "      <td>0.219640</td>\n",
       "      <td>0.251033</td>\n",
       "      <td>0.345036</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.262999</td>\n",
       "      <td>0.333333</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.666667</td>\n",
       "      <td>0.500000</td>\n",
       "      <td>0.375000</td>\n",
       "      <td>0.333333</td>\n",
       "      <td>0.416667</td>\n",
       "      <td>0.333333</td>\n",
       "      <td>0.500000</td>\n",
       "      <td>0.423836</td>\n",
       "      <td>0.215286</td>\n",
       "      <td>0.123327</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.260315</td>\n",
       "      <td>0.411765</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.00000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.00000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.500000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>max</th>\n",
       "      <td>0.452055</td>\n",
       "      <td>0.324668</td>\n",
       "      <td>0.731250</td>\n",
       "      <td>0.304926</td>\n",
       "      <td>1.307897</td>\n",
       "      <td>0.907962</td>\n",
       "      <td>0.400000</td>\n",
       "      <td>0.484167</td>\n",
       "      <td>0.906538</td>\n",
       "      <td>1.110680</td>\n",
       "      <td>0.750188</td>\n",
       "      <td>0.666667</td>\n",
       "      <td>0.500000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.750000</td>\n",
       "      <td>0.666667</td>\n",
       "      <td>0.833333</td>\n",
       "      <td>0.666667</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.799718</td>\n",
       "      <td>0.683781</td>\n",
       "      <td>1.045889</td>\n",
       "      <td>0.478261</td>\n",
       "      <td>0.358268</td>\n",
       "      <td>1.090909</td>\n",
       "      <td>1.138889</td>\n",
       "      <td>0.225806</td>\n",
       "      <td>1.014083</td>\n",
       "      <td>0.838235</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.00000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.00000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "       LotFrontage     LotArea  MasVnrArea  BsmtFinSF1  BsmtFinSF2  \\\n",
       "count   291.000000  291.000000  291.000000  291.000000  291.000000   \n",
       "mean      0.167279    0.041188    0.071523    0.076580    0.041173   \n",
       "std       0.066211    0.027326    0.119153    0.076675    0.143672   \n",
       "min       0.000000    0.001776    0.000000    0.000000    0.000000   \n",
       "25%       0.133562    0.029300    0.000000    0.000000    0.000000   \n",
       "50%       0.164384    0.037743    0.000000    0.066797    0.000000   \n",
       "75%       0.200342    0.049506    0.105937    0.129607    0.000000   \n",
       "max       0.452055    0.324668    0.731250    0.304926    1.307897   \n",
       "\n",
       "        BsmtUnfSF  TotalBsmtSF    1stFlrSF    2ndFlrSF  LowQualFinSF  \\\n",
       "count  291.000000   291.000000  291.000000  291.000000    291.000000   \n",
       "mean     0.247857     0.173095    0.190062    0.162494      0.012938   \n",
       "std      0.195236     0.066664    0.081127    0.214512      0.111258   \n",
       "min      0.000000     0.000000    0.008720    0.000000      0.000000   \n",
       "25%      0.102740     0.132570    0.124943    0.000000      0.000000   \n",
       "50%      0.199058     0.162029    0.174851    0.000000      0.000000   \n",
       "75%      0.361087     0.219640    0.251033    0.345036      0.000000   \n",
       "max      0.907962     0.400000    0.484167    0.906538      1.110680   \n",
       "\n",
       "        GrLivArea  BsmtFullBath  BsmtHalfBath    FullBath    HalfBath  \\\n",
       "count  291.000000    291.000000    291.000000  291.000000  291.000000   \n",
       "mean     0.220517      0.142039      0.027491    0.518900    0.178694   \n",
       "std      0.099490      0.167425      0.114170    0.187558    0.243593   \n",
       "min      0.027506      0.000000      0.000000    0.000000    0.000000   \n",
       "25%      0.150622      0.000000      0.000000    0.333333    0.000000   \n",
       "50%      0.214393      0.000000      0.000000    0.666667    0.000000   \n",
       "75%      0.262999      0.333333      0.000000    0.666667    0.500000   \n",
       "max      0.750188      0.666667      0.500000    1.000000    1.000000   \n",
       "\n",
       "       BedroomAbvGr  KitchenAbvGr  TotRmsAbvGrd  Fireplaces  GarageCars  \\\n",
       "count    291.000000    291.000000    291.000000  291.000000  291.000000   \n",
       "mean       0.361254      0.345934      0.377434    0.203895    0.447595   \n",
       "std        0.098611      0.063681      0.133522    0.206337    0.183485   \n",
       "min        0.125000      0.333333      0.083333    0.000000    0.000000   \n",
       "25%        0.250000      0.333333      0.333333    0.000000    0.250000   \n",
       "50%        0.375000      0.333333      0.333333    0.333333    0.500000   \n",
       "75%        0.375000      0.333333      0.416667    0.333333    0.500000   \n",
       "max        0.750000      0.666667      0.833333    0.666667    1.000000   \n",
       "\n",
       "       GarageArea  WoodDeckSF  OpenPorchSF  EnclosedPorch   3SsnPorch  \\\n",
       "count  291.000000  291.000000   291.000000     291.000000  291.000000   \n",
       "mean     0.339908    0.119569     0.084380       0.030392    0.001387   \n",
       "std      0.144958    0.159000     0.121960       0.095217    0.021160   \n",
       "min      0.000000    0.000000     0.000000       0.000000    0.000000   \n",
       "25%      0.230959    0.000000     0.000000       0.000000    0.000000   \n",
       "50%      0.338505    0.000000     0.047801       0.000000    0.000000   \n",
       "75%      0.423836    0.215286     0.123327       0.000000    0.000000   \n",
       "max      0.799718    0.683781     1.045889       0.478261    0.358268   \n",
       "\n",
       "       ScreenPorch    PoolArea     MiscVal   SalePrice    AgeHouse  \\\n",
       "count   291.000000  291.000000  291.000000  291.000000  291.000000   \n",
       "mean      0.043119    0.006968    0.002018    0.208137    0.269027   \n",
       "std       0.150418    0.084549    0.015505    0.119657    0.221821   \n",
       "min       0.000000    0.000000    0.000000    0.000579    0.000000   \n",
       "25%       0.000000    0.000000    0.000000    0.134453    0.044118   \n",
       "50%       0.000000    0.000000    0.000000    0.176172    0.257353   \n",
       "75%       0.000000    0.000000    0.000000    0.260315    0.411765   \n",
       "max       1.090909    1.138889    0.225806    1.014083    0.838235   \n",
       "\n",
       "       MSZoning_RL  MSZoning_RM  LotShape_IR1  LotShape_Reg  LotConfig_Corner  \\\n",
       "count   291.000000   291.000000    291.000000    291.000000        291.000000   \n",
       "mean      0.786942     0.144330      0.357388      0.618557          0.189003   \n",
       "std       0.410174     0.352029      0.480056      0.486578          0.392186   \n",
       "min       0.000000     0.000000      0.000000      0.000000          0.000000   \n",
       "25%       1.000000     0.000000      0.000000      0.000000          0.000000   \n",
       "50%       1.000000     0.000000      0.000000      1.000000          0.000000   \n",
       "75%       1.000000     0.000000      1.000000      1.000000          0.000000   \n",
       "max       1.000000     1.000000      1.000000      1.000000          1.000000   \n",
       "\n",
       "       LotConfig_Inside  Neighborhood_BrkSide  Neighborhood_CollgCr  \\\n",
       "count        291.000000            291.000000            291.000000   \n",
       "mean           0.707904              0.054983              0.127148   \n",
       "std            0.455510              0.228339              0.333712   \n",
       "min            0.000000              0.000000              0.000000   \n",
       "25%            0.000000              0.000000              0.000000   \n",
       "50%            1.000000              0.000000              0.000000   \n",
       "75%            1.000000              0.000000              0.000000   \n",
       "max            1.000000              1.000000              1.000000   \n",
       "\n",
       "       Neighborhood_Crawfor  Neighborhood_Edwards  Neighborhood_Gilbert  \\\n",
       "count            291.000000            291.000000            291.000000   \n",
       "mean               0.044674              0.075601              0.030928   \n",
       "std                0.206942              0.264815              0.173420   \n",
       "min                0.000000              0.000000              0.000000   \n",
       "25%                0.000000              0.000000              0.000000   \n",
       "50%                0.000000              0.000000              0.000000   \n",
       "75%                0.000000              0.000000              0.000000   \n",
       "max                1.000000              1.000000              1.000000   \n",
       "\n",
       "       Neighborhood_NAmes  Neighborhood_NWAmes  Neighborhood_NridgHt  \\\n",
       "count          291.000000           291.000000            291.000000   \n",
       "mean             0.161512             0.037801              0.048110   \n",
       "std              0.368637             0.191042              0.214367   \n",
       "min              0.000000             0.000000              0.000000   \n",
       "25%              0.000000             0.000000              0.000000   \n",
       "50%              0.000000             0.000000              0.000000   \n",
       "75%              0.000000             0.000000              0.000000   \n",
       "max              1.000000             1.000000              1.000000   \n",
       "\n",
       "       Neighborhood_OldTown  Neighborhood_Sawyer  Neighborhood_SawyerW  \\\n",
       "count            291.000000           291.000000            291.000000   \n",
       "mean               0.058419             0.061856              0.024055   \n",
       "std                0.234939             0.241308              0.153484   \n",
       "min                0.000000             0.000000              0.000000   \n",
       "25%                0.000000             0.000000              0.000000   \n",
       "50%                0.000000             0.000000              0.000000   \n",
       "75%                0.000000             0.000000              0.000000   \n",
       "max                1.000000             1.000000              1.000000   \n",
       "\n",
       "       Neighborhood_Somerst  Condition1_Feedr  Condition1_Norm  \\\n",
       "count            291.000000        291.000000       291.000000   \n",
       "mean               0.068729          0.058419         0.859107   \n",
       "std                0.253428          0.234939         0.348511   \n",
       "min                0.000000          0.000000         0.000000   \n",
       "25%                0.000000          0.000000         1.000000   \n",
       "50%                0.000000          0.000000         1.000000   \n",
       "75%                0.000000          0.000000         1.000000   \n",
       "max                1.000000          1.000000         1.000000   \n",
       "\n",
       "       HouseStyle_1.5Fin  HouseStyle_1Story  HouseStyle_2Story  OverallQual_4  \\\n",
       "count         291.000000         291.000000         291.000000     291.000000   \n",
       "mean            0.116838           0.529210           0.274914       0.072165   \n",
       "std             0.321781           0.500006           0.447240       0.259207   \n",
       "min             0.000000           0.000000           0.000000       0.000000   \n",
       "25%             0.000000           0.000000           0.000000       0.000000   \n",
       "50%             0.000000           1.000000           0.000000       0.000000   \n",
       "75%             0.000000           1.000000           1.000000       0.000000   \n",
       "max             1.000000           1.000000           1.000000       1.000000   \n",
       "\n",
       "       OverallQual_5  OverallQual_6  OverallQual_7  OverallQual_8  \\\n",
       "count     291.000000     291.000000     291.000000     291.000000   \n",
       "mean        0.305842       0.243986       0.195876       0.134021   \n",
       "std         0.461557       0.430224       0.397557       0.341261   \n",
       "min         0.000000       0.000000       0.000000       0.000000   \n",
       "25%         0.000000       0.000000       0.000000       0.000000   \n",
       "50%         0.000000       0.000000       0.000000       0.000000   \n",
       "75%         1.000000       0.000000       0.000000       0.000000   \n",
       "max         1.000000       1.000000       1.000000       1.000000   \n",
       "\n",
       "       OverallCond_5  OverallCond_6  OverallCond_7  OverallCond_8  \\\n",
       "count     291.000000     291.000000     291.000000     291.000000   \n",
       "mean        0.580756       0.182131       0.113402       0.051546   \n",
       "std         0.494285       0.386617       0.317630       0.221490   \n",
       "min         0.000000       0.000000       0.000000       0.000000   \n",
       "25%         0.000000       0.000000       0.000000       0.000000   \n",
       "50%         1.000000       0.000000       0.000000       0.000000   \n",
       "75%         1.000000       0.000000       0.000000       0.000000   \n",
       "max         1.000000       1.000000       1.000000       1.000000   \n",
       "\n",
       "       RoofStyle_Gable  RoofStyle_Hip  Exterior1st_HdBoard  \\\n",
       "count       291.000000     291.000000           291.000000   \n",
       "mean          0.793814       0.195876             0.168385   \n",
       "std           0.405262       0.397557             0.374852   \n",
       "min           0.000000       0.000000             0.000000   \n",
       "25%           1.000000       0.000000             0.000000   \n",
       "50%           1.000000       0.000000             0.000000   \n",
       "75%           1.000000       0.000000             0.000000   \n",
       "max           1.000000       1.000000             1.000000   \n",
       "\n",
       "       Exterior1st_MetalSd  Exterior1st_Plywood  Exterior1st_VinylSd  \\\n",
       "count           291.000000           291.000000           291.000000   \n",
       "mean              0.140893             0.061856             0.371134   \n",
       "std               0.348511             0.241308             0.483940   \n",
       "min               0.000000             0.000000             0.000000   \n",
       "25%               0.000000             0.000000             0.000000   \n",
       "50%               0.000000             0.000000             0.000000   \n",
       "75%               0.000000             0.000000             1.000000   \n",
       "max               1.000000             1.000000             1.000000   \n",
       "\n",
       "       Exterior1st_Wd Sdng  Exterior2nd_HdBoard  Exterior2nd_MetalSd  \\\n",
       "count           291.000000           291.000000           291.000000   \n",
       "mean              0.147766             0.151203             0.137457   \n",
       "std               0.355480             0.358864             0.344922   \n",
       "min               0.000000             0.000000             0.000000   \n",
       "25%               0.000000             0.000000             0.000000   \n",
       "50%               0.000000             0.000000             0.000000   \n",
       "75%               0.000000             0.000000             0.000000   \n",
       "max               1.000000             1.000000             1.000000   \n",
       "\n",
       "       Exterior2nd_Plywood  Exterior2nd_VinylSd  Exterior2nd_Wd Sdng  \\\n",
       "count           291.000000           291.000000           291.000000   \n",
       "mean              0.103093             0.357388             0.147766   \n",
       "std               0.304604             0.480056             0.355480   \n",
       "min               0.000000             0.000000             0.000000   \n",
       "25%               0.000000             0.000000             0.000000   \n",
       "50%               0.000000             0.000000             0.000000   \n",
       "75%               0.000000             1.000000             0.000000   \n",
       "max               1.000000             1.000000             1.000000   \n",
       "\n",
       "       MasVnrType_BrkFace  MasVnrType_None  MasVnrType_Stone  ExterQual_Gd  \\\n",
       "count          291.000000       291.000000        291.000000    291.000000   \n",
       "mean             0.312715         0.573883          0.109966      0.326460   \n",
       "std              0.464398         0.495363          0.313386      0.469726   \n",
       "min              0.000000         0.000000          0.000000      0.000000   \n",
       "25%              0.000000         0.000000          0.000000      0.000000   \n",
       "50%              0.000000         1.000000          0.000000      0.000000   \n",
       "75%              1.000000         1.000000          0.000000      1.000000   \n",
       "max              1.000000         1.000000          1.000000      1.000000   \n",
       "\n",
       "       ExterQual_TA  Foundation_BrkTil  Foundation_CBlock  Foundation_PConc  \\\n",
       "count    291.000000         291.000000         291.000000        291.000000   \n",
       "mean       0.625430           0.109966           0.432990          0.432990   \n",
       "std        0.484846           0.313386           0.496343          0.496343   \n",
       "min        0.000000           0.000000           0.000000          0.000000   \n",
       "25%        0.000000           0.000000           0.000000          0.000000   \n",
       "50%        1.000000           0.000000           0.000000          0.000000   \n",
       "75%        1.000000           0.000000           1.000000          1.000000   \n",
       "max        1.000000           1.000000           1.000000          1.000000   \n",
       "\n",
       "       BsmtQual_Ex  BsmtQual_Gd  BsmtQual_TA  BsmtExposure_Av  \\\n",
       "count   291.000000   291.000000   291.000000       291.000000   \n",
       "mean      0.096220     0.395189     0.460481         0.137457   \n",
       "std       0.295401     0.489733     0.499294         0.344922   \n",
       "min       0.000000     0.000000     0.000000         0.000000   \n",
       "25%       0.000000     0.000000     0.000000         0.000000   \n",
       "50%       0.000000     0.000000     0.000000         0.000000   \n",
       "75%       0.000000     1.000000     1.000000         0.000000   \n",
       "max       1.000000     1.000000     1.000000         1.000000   \n",
       "\n",
       "       BsmtExposure_Gd  BsmtExposure_Mn  BsmtExposure_No  BsmtFinType1_ALQ  \\\n",
       "count       291.000000       291.000000       291.000000        291.000000   \n",
       "mean          0.082474         0.116838         0.628866          0.147766   \n",
       "std           0.275560         0.321781         0.483940          0.355480   \n",
       "min           0.000000         0.000000         0.000000          0.000000   \n",
       "25%           0.000000         0.000000         0.000000          0.000000   \n",
       "50%           0.000000         0.000000         1.000000          0.000000   \n",
       "75%           0.000000         0.000000         1.000000          0.000000   \n",
       "max           1.000000         1.000000         1.000000          1.000000   \n",
       "\n",
       "       BsmtFinType1_BLQ  BsmtFinType1_GLQ  BsmtFinType1_LwQ  BsmtFinType1_Rec  \\\n",
       "count        291.000000        291.000000        291.000000        291.000000   \n",
       "mean           0.103093          0.274914          0.051546          0.092784   \n",
       "std            0.304604          0.447240          0.221490          0.290629   \n",
       "min            0.000000          0.000000          0.000000          0.000000   \n",
       "25%            0.000000          0.000000          0.000000          0.000000   \n",
       "50%            0.000000          0.000000          0.000000          0.000000   \n",
       "75%            0.000000          1.000000          0.000000          0.000000   \n",
       "max            1.000000          1.000000          1.000000          1.000000   \n",
       "\n",
       "       BsmtFinType1_Unf  HeatingQC_Ex  HeatingQC_Gd  HeatingQC_TA  \\\n",
       "count        291.000000    291.000000    291.000000     291.00000   \n",
       "mean           0.295533      0.505155      0.123711       0.33677   \n",
       "std            0.457068      0.500835      0.329819       0.47342   \n",
       "min            0.000000      0.000000      0.000000       0.00000   \n",
       "25%            0.000000      0.000000      0.000000       0.00000   \n",
       "50%            0.000000      1.000000      0.000000       0.00000   \n",
       "75%            1.000000      1.000000      0.000000       1.00000   \n",
       "max            1.000000      1.000000      1.000000       1.00000   \n",
       "\n",
       "       KitchenQual_Gd  KitchenQual_TA  FireplaceQu_Gd  \\\n",
       "count      291.000000      291.000000       291.00000   \n",
       "mean         0.378007        0.515464         0.28866   \n",
       "std          0.485725        0.500622         0.45392   \n",
       "min          0.000000        0.000000         0.00000   \n",
       "25%          0.000000        0.000000         0.00000   \n",
       "50%          0.000000        1.000000         0.00000   \n",
       "75%          1.000000        1.000000         1.00000   \n",
       "max          1.000000        1.000000         1.00000   \n",
       "\n",
       "       FireplaceQu_No Fireplace  FireplaceQu_TA  GarageType_Attchd  \\\n",
       "count                291.000000      291.000000         291.000000   \n",
       "mean                   0.460481        0.189003           0.587629   \n",
       "std                    0.499294        0.392186           0.493109   \n",
       "min                    0.000000        0.000000           0.000000   \n",
       "25%                    0.000000        0.000000           0.000000   \n",
       "50%                    0.000000        0.000000           1.000000   \n",
       "75%                    1.000000        0.000000           1.000000   \n",
       "max                    1.000000        1.000000           1.000000   \n",
       "\n",
       "       GarageType_BuiltIn  GarageType_Detchd  GarageType_No Garage  \\\n",
       "count          291.000000         291.000000            291.000000   \n",
       "mean             0.041237           0.333333              0.034364   \n",
       "std              0.199181           0.472217              0.182477   \n",
       "min              0.000000           0.000000              0.000000   \n",
       "25%              0.000000           0.000000              0.000000   \n",
       "50%              0.000000           0.000000              0.000000   \n",
       "75%              0.000000           1.000000              0.000000   \n",
       "max              1.000000           1.000000              1.000000   \n",
       "\n",
       "       GarageFinish_Fin  GarageFinish_RFn  GarageFinish_Unf  Fence_MnPrv  \\\n",
       "count        291.000000        291.000000        291.000000   291.000000   \n",
       "mean           0.250859          0.274914          0.439863     0.096220   \n",
       "std            0.434254          0.447240          0.497225     0.295401   \n",
       "min            0.000000          0.000000          0.000000     0.000000   \n",
       "25%            0.000000          0.000000          0.000000     0.000000   \n",
       "50%            0.000000          0.000000          0.000000     0.000000   \n",
       "75%            0.500000          1.000000          1.000000     0.000000   \n",
       "max            1.000000          1.000000          1.000000     1.000000   \n",
       "\n",
       "       Fence_No Fence  SaleCondition_Abnorml  SaleCondition_Normal  \\\n",
       "count      291.000000             291.000000            291.000000   \n",
       "mean         0.800687               0.065292              0.817869   \n",
       "std          0.400172               0.247466              0.386617   \n",
       "min          0.000000               0.000000              0.000000   \n",
       "25%          1.000000               0.000000              1.000000   \n",
       "50%          1.000000               0.000000              1.000000   \n",
       "75%          1.000000               0.000000              1.000000   \n",
       "max          1.000000               1.000000              1.000000   \n",
       "\n",
       "       SaleCondition_Partial  MSSubClass_20  MSSubClass_50  MSSubClass_60  \\\n",
       "count             291.000000     291.000000     291.000000     291.000000   \n",
       "mean                0.092784       0.395189       0.109966       0.182131   \n",
       "std                 0.290629       0.489733       0.313386       0.386617   \n",
       "min                 0.000000       0.000000       0.000000       0.000000   \n",
       "25%                 0.000000       0.000000       0.000000       0.000000   \n",
       "50%                 0.000000       0.000000       0.000000       0.000000   \n",
       "75%                 0.000000       1.000000       0.000000       0.000000   \n",
       "max                 1.000000       1.000000       1.000000       1.000000   \n",
       "\n",
       "       MSSubClass_120  \n",
       "count      291.000000  \n",
       "mean         0.051546  \n",
       "std          0.221490  \n",
       "min          0.000000  \n",
       "25%          0.000000  \n",
       "50%          0.000000  \n",
       "75%          0.000000  \n",
       "max          1.000000  "
      ]
     },
     "execution_count": 705,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df_test.describe()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### Create X_test and y_test"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 706,
   "metadata": {},
   "outputs": [],
   "source": [
    "# popping out the SalePrice column to create y_test\n",
    "y_test = df_test.pop('SalePrice')\n",
    "# Creating X_test\n",
    "X_test = df_test"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### We have to drop the variables, which we dropped in the `train set`"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 707,
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>LotFrontage</th>\n",
       "      <th>LotArea</th>\n",
       "      <th>MasVnrArea</th>\n",
       "      <th>BsmtFinSF1</th>\n",
       "      <th>BsmtFinSF2</th>\n",
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       "      <th>GarageArea</th>\n",
       "      <th>WoodDeckSF</th>\n",
       "      <th>OpenPorchSF</th>\n",
       "      <th>EnclosedPorch</th>\n",
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       "      <th>ScreenPorch</th>\n",
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       "      <th>LotShape_Reg</th>\n",
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       "      <th>Neighborhood_CollgCr</th>\n",
       "      <th>Neighborhood_Crawfor</th>\n",
       "      <th>Neighborhood_Edwards</th>\n",
       "      <th>Neighborhood_Gilbert</th>\n",
       "      <th>Neighborhood_NAmes</th>\n",
       "      <th>Neighborhood_NWAmes</th>\n",
       "      <th>Neighborhood_NridgHt</th>\n",
       "      <th>Neighborhood_OldTown</th>\n",
       "      <th>Neighborhood_Sawyer</th>\n",
       "      <th>Neighborhood_SawyerW</th>\n",
       "      <th>Neighborhood_Somerst</th>\n",
       "      <th>Condition1_Feedr</th>\n",
       "      <th>Condition1_Norm</th>\n",
       "      <th>OverallQual_4</th>\n",
       "      <th>OverallQual_5</th>\n",
       "      <th>OverallQual_6</th>\n",
       "      <th>OverallQual_7</th>\n",
       "      <th>OverallQual_8</th>\n",
       "      <th>OverallCond_5</th>\n",
       "      <th>OverallCond_6</th>\n",
       "      <th>OverallCond_7</th>\n",
       "      <th>OverallCond_8</th>\n",
       "      <th>RoofStyle_Gable</th>\n",
       "      <th>Exterior1st_HdBoard</th>\n",
       "      <th>Exterior1st_MetalSd</th>\n",
       "      <th>Exterior1st_Plywood</th>\n",
       "      <th>Exterior1st_VinylSd</th>\n",
       "      <th>Exterior1st_Wd Sdng</th>\n",
       "      <th>MasVnrType_None</th>\n",
       "      <th>MasVnrType_Stone</th>\n",
       "      <th>ExterQual_TA</th>\n",
       "      <th>Foundation_BrkTil</th>\n",
       "      <th>Foundation_PConc</th>\n",
       "      <th>BsmtQual_Ex</th>\n",
       "      <th>BsmtQual_TA</th>\n",
       "      <th>BsmtExposure_Av</th>\n",
       "      <th>BsmtExposure_Gd</th>\n",
       "      <th>BsmtExposure_Mn</th>\n",
       "      <th>BsmtExposure_No</th>\n",
       "      <th>BsmtFinType1_ALQ</th>\n",
       "      <th>BsmtFinType1_BLQ</th>\n",
       "      <th>BsmtFinType1_GLQ</th>\n",
       "      <th>BsmtFinType1_LwQ</th>\n",
       "      <th>BsmtFinType1_Rec</th>\n",
       "      <th>BsmtFinType1_Unf</th>\n",
       "      <th>HeatingQC_Ex</th>\n",
       "      <th>HeatingQC_Gd</th>\n",
       "      <th>HeatingQC_TA</th>\n",
       "      <th>KitchenQual_TA</th>\n",
       "      <th>FireplaceQu_Gd</th>\n",
       "      <th>FireplaceQu_No Fireplace</th>\n",
       "      <th>FireplaceQu_TA</th>\n",
       "      <th>GarageType_Attchd</th>\n",
       "      <th>GarageType_BuiltIn</th>\n",
       "      <th>GarageType_No Garage</th>\n",
       "      <th>GarageFinish_Fin</th>\n",
       "      <th>GarageFinish_RFn</th>\n",
       "      <th>GarageFinish_Unf</th>\n",
       "      <th>Fence_No Fence</th>\n",
       "      <th>SaleCondition_Abnorml</th>\n",
       "      <th>SaleCondition_Normal</th>\n",
       "      <th>SaleCondition_Partial</th>\n",
       "      <th>MSSubClass_20</th>\n",
       "      <th>MSSubClass_50</th>\n",
       "      <th>MSSubClass_60</th>\n",
       "      <th>MSSubClass_120</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
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       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>563</th>\n",
       "      <td>0.154110</td>\n",
       "      <td>0.095726</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.497860</td>\n",
       "      <td>0.190225</td>\n",
       "      <td>0.247458</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.252449</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.666667</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.500</td>\n",
       "      <td>0.333333</td>\n",
       "      <td>0.279267</td>\n",
       "      <td>0.084014</td>\n",
       "      <td>0.068834</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.327273</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.661765</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>371</th>\n",
       "      <td>0.202055</td>\n",
       "      <td>0.073944</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.180358</td>\n",
       "      <td>0.226634</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.236247</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.666667</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.500</td>\n",
       "      <td>0.333333</td>\n",
       "      <td>0.479549</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.112811</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.360294</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "      LotFrontage   LotArea  MasVnrArea  BsmtFinSF1  BsmtFinSF2  BsmtUnfSF  \\\n",
       "157      0.243151  0.050027    0.052500    0.000000         0.0   0.331336   \n",
       "337      0.167808  0.036622    0.070625    0.143515         0.0   0.310788   \n",
       "1120     0.130137  0.032546    0.000000    0.000000         0.0   0.433219   \n",
       "563      0.154110  0.095726    0.000000    0.000000         0.0   0.497860   \n",
       "371      0.202055  0.073944    0.000000    0.000000         0.0   0.000000   \n",
       "\n",
       "      1stFlrSF  2ndFlrSF  LowQualFinSF  GrLivArea  BsmtFullBath  BsmtHalfBath  \\\n",
       "157   0.100964  0.578208           0.0   0.307837      0.000000           0.0   \n",
       "337   0.275815  0.000000           0.0   0.226451      0.333333           0.0   \n",
       "1120  0.155576  0.000000           0.0   0.127732      0.000000           0.0   \n",
       "563   0.190225  0.247458           0.0   0.252449      0.000000           0.0   \n",
       "371   0.180358  0.226634           0.0   0.236247      0.000000           0.0   \n",
       "\n",
       "      FullBath  HalfBath  BedroomAbvGr  KitchenAbvGr  GarageArea  WoodDeckSF  \\\n",
       "157   0.666667       0.5         0.500      0.333333    0.479549    0.000000   \n",
       "337   0.666667       0.0         0.375      0.333333    0.375176    0.224037   \n",
       "1120  0.333333       0.0         0.250      0.333333    0.217207    0.000000   \n",
       "563   0.666667       0.0         0.500      0.333333    0.279267    0.084014   \n",
       "371   0.666667       0.0         0.500      0.333333    0.479549    0.000000   \n",
       "\n",
       "      OpenPorchSF  EnclosedPorch  3SsnPorch  ScreenPorch  PoolArea  MiscVal  \\\n",
       "157      0.143403       0.000000        0.0     0.000000       0.0      0.0   \n",
       "337      0.141491       0.000000        0.0     0.000000       0.0      0.0   \n",
       "1120     0.042065       0.202899        0.0     0.000000       0.0      0.0   \n",
       "563      0.068834       0.000000        0.0     0.327273       0.0      0.0   \n",
       "371      0.112811       0.000000        0.0     0.000000       0.0      0.0   \n",
       "\n",
       "      AgeHouse  MSZoning_RL  LotShape_Reg  LotConfig_Inside  \\\n",
       "157   0.007353            1             1                 0   \n",
       "337   0.044118            1             1                 1   \n",
       "1120  0.639706            0             1                 1   \n",
       "563   0.661765            1             1                 1   \n",
       "371   0.360294            1             1                 1   \n",
       "\n",
       "      Neighborhood_BrkSide  Neighborhood_CollgCr  Neighborhood_Crawfor  \\\n",
       "157                      0                     0                     0   \n",
       "337                      0                     1                     0   \n",
       "1120                     0                     0                     0   \n",
       "563                      0                     0                     0   \n",
       "371                      0                     0                     0   \n",
       "\n",
       "      Neighborhood_Edwards  Neighborhood_Gilbert  Neighborhood_NAmes  \\\n",
       "157                      0                     0                   0   \n",
       "337                      0                     0                   0   \n",
       "1120                     0                     0                   0   \n",
       "563                      1                     0                   0   \n",
       "371                      0                     0                   0   \n",
       "\n",
       "      Neighborhood_NWAmes  Neighborhood_NridgHt  Neighborhood_OldTown  \\\n",
       "157                     0                     0                     0   \n",
       "337                     0                     0                     0   \n",
       "1120                    0                     0                     0   \n",
       "563                     0                     0                     0   \n",
       "371                     0                     0                     0   \n",
       "\n",
       "      Neighborhood_Sawyer  Neighborhood_SawyerW  Neighborhood_Somerst  \\\n",
       "157                     0                     0                     0   \n",
       "337                     0                     0                     0   \n",
       "1120                    0                     0                     0   \n",
       "563                     0                     0                     0   \n",
       "371                     0                     0                     0   \n",
       "\n",
       "      Condition1_Feedr  Condition1_Norm  OverallQual_4  OverallQual_5  \\\n",
       "157                  0                1              0              0   \n",
       "337                  0                1              0              0   \n",
       "1120                 0                1              0              0   \n",
       "563                  0                1              0              0   \n",
       "371                  1                0              1              0   \n",
       "\n",
       "      OverallQual_6  OverallQual_7  OverallQual_8  OverallCond_5  \\\n",
       "157               0              0              1              1   \n",
       "337               0              1              0              1   \n",
       "1120              1              0              0              1   \n",
       "563               1              0              0              0   \n",
       "371               0              0              0              0   \n",
       "\n",
       "      OverallCond_6  OverallCond_7  OverallCond_8  RoofStyle_Gable  \\\n",
       "157               0              0              0                1   \n",
       "337               0              0              0                1   \n",
       "1120              0              0              0                1   \n",
       "563               0              1              0                1   \n",
       "371               0              0              0                1   \n",
       "\n",
       "      Exterior1st_HdBoard  Exterior1st_MetalSd  Exterior1st_Plywood  \\\n",
       "157                     0                    0                    0   \n",
       "337                     0                    0                    0   \n",
       "1120                    0                    0                    0   \n",
       "563                     0                    0                    0   \n",
       "371                     0                    0                    0   \n",
       "\n",
       "      Exterior1st_VinylSd  Exterior1st_Wd Sdng  MasVnrType_None  \\\n",
       "157                     1                    0                0   \n",
       "337                     1                    0                0   \n",
       "1120                    0                    0                1   \n",
       "563                     0                    1                1   \n",
       "371                     0                    0                1   \n",
       "\n",
       "      MasVnrType_Stone  ExterQual_TA  Foundation_BrkTil  Foundation_PConc  \\\n",
       "157                  0             0                  0                 1   \n",
       "337                  0             0                  0                 1   \n",
       "1120                 0             1                  1                 0   \n",
       "563                  0             1                  1                 0   \n",
       "371                  0             1                  0                 0   \n",
       "\n",
       "      BsmtQual_Ex  BsmtQual_TA  BsmtExposure_Av  BsmtExposure_Gd  \\\n",
       "157             1            0                0                0   \n",
       "337             0            0                1                0   \n",
       "1120            0            1                0                0   \n",
       "563             0            0                0                0   \n",
       "371             0            0                0                0   \n",
       "\n",
       "      BsmtExposure_Mn  BsmtExposure_No  BsmtFinType1_ALQ  BsmtFinType1_BLQ  \\\n",
       "157                 0                1                 0                 0   \n",
       "337                 0                0                 0                 0   \n",
       "1120                0                1                 0                 0   \n",
       "563                 1                0                 0                 0   \n",
       "371                 0                0                 0                 0   \n",
       "\n",
       "      BsmtFinType1_GLQ  BsmtFinType1_LwQ  BsmtFinType1_Rec  BsmtFinType1_Unf  \\\n",
       "157                  0                 0                 0                 1   \n",
       "337                  1                 0                 0                 0   \n",
       "1120                 0                 0                 0                 1   \n",
       "563                  0                 0                 0                 1   \n",
       "371                  0                 0                 0                 0   \n",
       "\n",
       "      HeatingQC_Ex  HeatingQC_Gd  HeatingQC_TA  KitchenQual_TA  \\\n",
       "157              1             0             0               0   \n",
       "337              1             0             0               0   \n",
       "1120             0             0             1               1   \n",
       "563              1             0             0               1   \n",
       "371              0             0             1               1   \n",
       "\n",
       "      FireplaceQu_Gd  FireplaceQu_No Fireplace  FireplaceQu_TA  \\\n",
       "157                1                         0               0   \n",
       "337                0                         1               0   \n",
       "1120               1                         0               0   \n",
       "563                1                         0               0   \n",
       "371                1                         0               0   \n",
       "\n",
       "      GarageType_Attchd  GarageType_BuiltIn  GarageType_No Garage  \\\n",
       "157                   0                   1                     0   \n",
       "337                   1                   0                     0   \n",
       "1120                  0                   0                     0   \n",
       "563                   0                   0                     0   \n",
       "371                   0                   0                     0   \n",
       "\n",
       "      GarageFinish_Fin  GarageFinish_RFn  GarageFinish_Unf  Fence_No Fence  \\\n",
       "157                  1                 0                 0               1   \n",
       "337                  0                 1                 0               1   \n",
       "1120                 0                 0                 1               0   \n",
       "563                  1                 0                 0               1   \n",
       "371                  1                 0                 0               1   \n",
       "\n",
       "      SaleCondition_Abnorml  SaleCondition_Normal  SaleCondition_Partial  \\\n",
       "157                       0                     0                      1   \n",
       "337                       0                     1                      0   \n",
       "1120                      0                     1                      0   \n",
       "563                       0                     1                      0   \n",
       "371                       0                     1                      0   \n",
       "\n",
       "      MSSubClass_20  MSSubClass_50  MSSubClass_60  MSSubClass_120  \n",
       "157               0              0              1               0  \n",
       "337               1              0              0               0  \n",
       "1120              0              0              0               0  \n",
       "563               0              1              0               0  \n",
       "371               0              1              0               0  "
      ]
     },
     "execution_count": 707,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Retaining the columns of X_train to X_test\n",
    "X_test = X_test[X_train.columns]\n",
    "X_test.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Step 3: - Building the model"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Normal Regression without Regularisation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 708,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.linear_model import LinearRegression\n",
    "import sklearn.metrics as metrics"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 709,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "LinearRegression(copy_X=True, fit_intercept=True, n_jobs=None, normalize=False)"
      ]
     },
     "execution_count": 709,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Instantiate the linear regression\n",
    "lm = LinearRegression()\n",
    "# Fit the model with train set\n",
    "lm.fit(X_train, y_train)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 710,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.849068086142367"
      ]
     },
     "execution_count": 710,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Predict the model with train set\n",
    "y_train_pred = lm.predict(X_train)\n",
    "# r2 score for the train model\n",
    "metrics.r2_score(y_true = y_train, y_pred = y_train_pred)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 711,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.8385971134748668"
      ]
     },
     "execution_count": 711,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Fit the model with test set\n",
    "y_test_pred = lm.predict(X_test)\n",
    "# r2 score for the test set\n",
    "metrics.r2_score(y_true = y_test, y_pred = y_test_pred)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 712,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[('constant', -0.05183722367863501),\n",
       " ('LotFrontage', 0.09791057501874445),\n",
       " ('LotArea', 0.05862257211177545),\n",
       " ('MasVnrArea', 0.008991942970340602),\n",
       " ('BsmtFinSF1', 0.002973178510670721),\n",
       " ('BsmtFinSF2', 0.023000146087725618),\n",
       " ('BsmtUnfSF', 69444639641.3482),\n",
       " ('1stFlrSF', 32905732184.35769),\n",
       " ('2ndFlrSF', 8206514321.953902),\n",
       " ('LowQualFinSF', -84582869943.70462),\n",
       " ('GrLivArea', 0.039525508880615234),\n",
       " ('BsmtFullBath', 0.0042983293533325195),\n",
       " ('BsmtHalfBath', 0.04437065124511719),\n",
       " ('FullBath', 0.015676498413085938),\n",
       " ('HalfBath', -0.001483917236328125),\n",
       " ('BedroomAbvGr', -0.05498218536376953),\n",
       " ('KitchenAbvGr', 0.045680999755859375),\n",
       " ('GarageArea', 0.01296234130859375),\n",
       " ('WoodDeckSF', -0.015708446502685547),\n",
       " ('OpenPorchSF', 0.019844532012939453),\n",
       " ('EnclosedPorch', 0.03464984893798828),\n",
       " ('3SsnPorch', 0.01571047306060791),\n",
       " ('ScreenPorch', -0.008081436157226562),\n",
       " ('PoolArea', 7.414817810058594e-05),\n",
       " ('MiscVal', -0.04768180847167969),\n",
       " ('AgeHouse', 0.01721477508544922),\n",
       " ('MSZoning_RL', -0.0020961761474609375),\n",
       " ('LotShape_Reg', -0.005177497863769531),\n",
       " ('LotConfig_Inside', 0.009107589721679688),\n",
       " ('Neighborhood_BrkSide', -0.014380455017089844),\n",
       " ('Neighborhood_CollgCr', 0.03839874267578125),\n",
       " ('Neighborhood_Crawfor', -0.03643512725830078),\n",
       " ('Neighborhood_Edwards', -0.019018173217773438),\n",
       " ('Neighborhood_Gilbert', -0.011210441589355469),\n",
       " ('Neighborhood_NAmes', -0.010017871856689453),\n",
       " ('Neighborhood_NWAmes', 0.027387619018554688),\n",
       " ('Neighborhood_NridgHt', -0.0027008056640625),\n",
       " ('Neighborhood_OldTown', -0.012048721313476562),\n",
       " ('Neighborhood_Sawyer', -0.005463123321533203),\n",
       " ('Neighborhood_SawyerW', 0.012932777404785156),\n",
       " ('Neighborhood_Somerst', -0.01055908203125),\n",
       " ('Condition1_Feedr', 0.012917518615722656),\n",
       " ('Condition1_Norm', -0.05431175231933594),\n",
       " ('OverallQual_4', -0.058582305908203125),\n",
       " ('OverallQual_5', -0.059665679931640625),\n",
       " ('OverallQual_6', -0.05151009559631348),\n",
       " ('OverallQual_7', -0.02005481719970703),\n",
       " ('OverallQual_8', 0.009949684143066406),\n",
       " ('OverallCond_5', 0.015443801879882812),\n",
       " ('OverallCond_6', 0.031067848205566406),\n",
       " ('OverallCond_7', 0.02961111068725586),\n",
       " ('OverallCond_8', -0.009505271911621094),\n",
       " ('RoofStyle_Gable', -0.0023050308227539062),\n",
       " ('Exterior1st_HdBoard', 0.0028963088989257812),\n",
       " ('Exterior1st_MetalSd', -0.00037097930908203125),\n",
       " ('Exterior1st_Plywood', 0.003940582275390625),\n",
       " ('Exterior1st_VinylSd', 0.00376129150390625),\n",
       " ('Exterior1st_Wd Sdng', 0.0090179443359375),\n",
       " ('MasVnrType_None', 0.004856109619140625),\n",
       " ('MasVnrType_Stone', -0.009654998779296875),\n",
       " ('ExterQual_TA', 0.002994537353515625),\n",
       " ('Foundation_BrkTil', 0.005741119384765625),\n",
       " ('Foundation_PConc', 0.04189300537109375),\n",
       " ('BsmtQual_Ex', 0.004737496376037598),\n",
       " ('BsmtQual_TA', 0.01613616943359375),\n",
       " ('BsmtExposure_Av', 0.03230142593383789),\n",
       " ('BsmtExposure_Gd', 0.005875587463378906),\n",
       " ('BsmtExposure_Mn', 0.005677223205566406),\n",
       " ('BsmtExposure_No', 0.013264656066894531),\n",
       " ('BsmtFinType1_ALQ', 0.012063980102539062),\n",
       " ('BsmtFinType1_BLQ', 0.03011322021484375),\n",
       " ('BsmtFinType1_GLQ', 0.009309768676757812),\n",
       " ('BsmtFinType1_LwQ', 0.011407852172851562),\n",
       " ('BsmtFinType1_Rec', 0.0035448074340820312),\n",
       " ('BsmtFinType1_Unf', 0.014888763427734375),\n",
       " ('HeatingQC_Ex', 0.012981891632080078),\n",
       " ('HeatingQC_Gd', 0.009096145629882812),\n",
       " ('HeatingQC_TA', -0.004025459289550781),\n",
       " ('KitchenQual_TA', 0.004969596862792969),\n",
       " ('FireplaceQu_Gd', -0.0052967071533203125),\n",
       " ('FireplaceQu_No Fireplace', 0.005541801452636719),\n",
       " ('FireplaceQu_TA', 0.007720947265625),\n",
       " ('GarageType_Attchd', 0.00472712516784668),\n",
       " ('GarageType_BuiltIn', -37203132030.43392),\n",
       " ('GarageType_No Garage', -37203132030.42661),\n",
       " ('GarageFinish_Fin', -37203132030.43423),\n",
       " ('GarageFinish_RFn', -37203132030.43649),\n",
       " ('GarageFinish_Unf', -0.003692626953125),\n",
       " ('Fence_No Fence', -0.0017557144165039062),\n",
       " ('SaleCondition_Abnorml', 0.0047855377197265625),\n",
       " ('SaleCondition_Normal', 0.016541481018066406),\n",
       " ('SaleCondition_Partial', 0.021114349365234375),\n",
       " ('MSSubClass_20', 0.0021991729736328125),\n",
       " ('MSSubClass_50', 0.004918575286865234),\n",
       " ('MSSubClass_60', -0.007144927978515625)]"
      ]
     },
     "execution_count": 712,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Model parameters coefficients\n",
    "model_parameters = lm.coef_\n",
    "# model coefficients\n",
    "cols = X_train.columns\n",
    "cols = cols.insert(0, \"constant\")\n",
    "list(zip(cols, model_parameters))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Ridge Regression"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 713,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Import Ridge regression module, Grid Serach CV and KFold\n",
    "from sklearn.model_selection import KFold\n",
    "from sklearn.model_selection import GridSearchCV\n",
    "from sklearn.linear_model import Ridge"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 714,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Specify the range of hyperparameters (alpha)\n",
    "params = {'alpha': [0.0001, 0.001, 0.01, 0.05, 0.1, \n",
    " 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9, 1.0, 2.0, 3.0, \n",
    " 4.0, 5.0, 6.0, 7.0, 8.0, 9.0, 10.0]}\n",
    "\n",
    "# Instantiate Ridge regression\n",
    "ridge = Ridge()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 715,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Fitting 5 folds for each of 23 candidates, totalling 115 fits\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "[Parallel(n_jobs=1)]: Using backend SequentialBackend with 1 concurrent workers.\n",
      "[Parallel(n_jobs=1)]: Done 115 out of 115 | elapsed:    1.1s finished\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "GridSearchCV(cv=5, error_score='raise-deprecating',\n",
       "             estimator=Ridge(alpha=1.0, copy_X=True, fit_intercept=True,\n",
       "                             max_iter=None, normalize=False, random_state=None,\n",
       "                             solver='auto', tol=0.001),\n",
       "             iid='warn', n_jobs=None,\n",
       "             param_grid={'alpha': [0.0001, 0.001, 0.01, 0.05, 0.1, 0.2, 0.3,\n",
       "                                   0.4, 0.5, 0.6, 0.7, 0.8, 0.9, 1.0, 2.0, 3.0,\n",
       "                                   4.0, 5.0, 6.0, 7.0, 8.0, 9.0, 10.0]},\n",
       "             pre_dispatch='2*n_jobs', refit=True, return_train_score=True,\n",
       "             scoring='r2', verbose=1)"
      ]
     },
     "execution_count": 715,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Cross validation with 5 folds\n",
    "folds = 5\n",
    "model_cv = GridSearchCV(estimator=ridge,\n",
    "                       param_grid=params,\n",
    "                       scoring='r2',\n",
    "                       cv=folds,\n",
    "                       return_train_score=True,\n",
    "                       verbose=1)\n",
    "# Fitting the model with train set\n",
    "model_cv.fit(X_train, y_train)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 716,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>mean_fit_time</th>\n",
       "      <th>std_fit_time</th>\n",
       "      <th>mean_score_time</th>\n",
       "      <th>std_score_time</th>\n",
       "      <th>param_alpha</th>\n",
       "      <th>params</th>\n",
       "      <th>split0_test_score</th>\n",
       "      <th>split1_test_score</th>\n",
       "      <th>split2_test_score</th>\n",
       "      <th>split3_test_score</th>\n",
       "      <th>split4_test_score</th>\n",
       "      <th>mean_test_score</th>\n",
       "      <th>std_test_score</th>\n",
       "      <th>rank_test_score</th>\n",
       "      <th>split0_train_score</th>\n",
       "      <th>split1_train_score</th>\n",
       "      <th>split2_train_score</th>\n",
       "      <th>split3_train_score</th>\n",
       "      <th>split4_train_score</th>\n",
       "      <th>mean_train_score</th>\n",
       "      <th>std_train_score</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>0.009400</td>\n",
       "      <td>0.001744</td>\n",
       "      <td>0.0028</td>\n",
       "      <td>0.000748</td>\n",
       "      <td>0.0001</td>\n",
       "      <td>{'alpha': 0.0001}</td>\n",
       "      <td>0.655414</td>\n",
       "      <td>0.739485</td>\n",
       "      <td>0.888380</td>\n",
       "      <td>0.840038</td>\n",
       "      <td>0.859452</td>\n",
       "      <td>0.796432</td>\n",
       "      <td>0.086614</td>\n",
       "      <td>23</td>\n",
       "      <td>0.884335</td>\n",
       "      <td>0.863417</td>\n",
       "      <td>0.833396</td>\n",
       "      <td>0.847144</td>\n",
       "      <td>0.841988</td>\n",
       "      <td>0.854056</td>\n",
       "      <td>0.018026</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>0.008601</td>\n",
       "      <td>0.004410</td>\n",
       "      <td>0.0024</td>\n",
       "      <td>0.000490</td>\n",
       "      <td>0.001</td>\n",
       "      <td>{'alpha': 0.001}</td>\n",
       "      <td>0.655539</td>\n",
       "      <td>0.739509</td>\n",
       "      <td>0.888387</td>\n",
       "      <td>0.840047</td>\n",
       "      <td>0.859453</td>\n",
       "      <td>0.796465</td>\n",
       "      <td>0.086572</td>\n",
       "      <td>22</td>\n",
       "      <td>0.884335</td>\n",
       "      <td>0.863417</td>\n",
       "      <td>0.833396</td>\n",
       "      <td>0.847144</td>\n",
       "      <td>0.841988</td>\n",
       "      <td>0.854056</td>\n",
       "      <td>0.018026</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>0.007200</td>\n",
       "      <td>0.000748</td>\n",
       "      <td>0.0022</td>\n",
       "      <td>0.000400</td>\n",
       "      <td>0.01</td>\n",
       "      <td>{'alpha': 0.01}</td>\n",
       "      <td>0.656736</td>\n",
       "      <td>0.739741</td>\n",
       "      <td>0.888459</td>\n",
       "      <td>0.840132</td>\n",
       "      <td>0.859463</td>\n",
       "      <td>0.796785</td>\n",
       "      <td>0.086176</td>\n",
       "      <td>21</td>\n",
       "      <td>0.884333</td>\n",
       "      <td>0.863416</td>\n",
       "      <td>0.833395</td>\n",
       "      <td>0.847143</td>\n",
       "      <td>0.841988</td>\n",
       "      <td>0.854055</td>\n",
       "      <td>0.018026</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>0.007800</td>\n",
       "      <td>0.001721</td>\n",
       "      <td>0.0026</td>\n",
       "      <td>0.000800</td>\n",
       "      <td>0.05</td>\n",
       "      <td>{'alpha': 0.05}</td>\n",
       "      <td>0.661217</td>\n",
       "      <td>0.740747</td>\n",
       "      <td>0.888715</td>\n",
       "      <td>0.840452</td>\n",
       "      <td>0.859472</td>\n",
       "      <td>0.798003</td>\n",
       "      <td>0.084673</td>\n",
       "      <td>20</td>\n",
       "      <td>0.884296</td>\n",
       "      <td>0.863407</td>\n",
       "      <td>0.833379</td>\n",
       "      <td>0.847130</td>\n",
       "      <td>0.841975</td>\n",
       "      <td>0.854037</td>\n",
       "      <td>0.018019</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>0.007600</td>\n",
       "      <td>0.001020</td>\n",
       "      <td>0.0024</td>\n",
       "      <td>0.001020</td>\n",
       "      <td>0.1</td>\n",
       "      <td>{'alpha': 0.1}</td>\n",
       "      <td>0.665697</td>\n",
       "      <td>0.741945</td>\n",
       "      <td>0.888940</td>\n",
       "      <td>0.840748</td>\n",
       "      <td>0.859420</td>\n",
       "      <td>0.799235</td>\n",
       "      <td>0.083131</td>\n",
       "      <td>19</td>\n",
       "      <td>0.884216</td>\n",
       "      <td>0.863381</td>\n",
       "      <td>0.833340</td>\n",
       "      <td>0.847094</td>\n",
       "      <td>0.841943</td>\n",
       "      <td>0.853995</td>\n",
       "      <td>0.018005</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   mean_fit_time  std_fit_time  mean_score_time  std_score_time param_alpha  \\\n",
       "0       0.009400      0.001744           0.0028        0.000748      0.0001   \n",
       "1       0.008601      0.004410           0.0024        0.000490       0.001   \n",
       "2       0.007200      0.000748           0.0022        0.000400        0.01   \n",
       "3       0.007800      0.001721           0.0026        0.000800        0.05   \n",
       "4       0.007600      0.001020           0.0024        0.001020         0.1   \n",
       "\n",
       "              params  split0_test_score  split1_test_score  split2_test_score  \\\n",
       "0  {'alpha': 0.0001}           0.655414           0.739485           0.888380   \n",
       "1   {'alpha': 0.001}           0.655539           0.739509           0.888387   \n",
       "2    {'alpha': 0.01}           0.656736           0.739741           0.888459   \n",
       "3    {'alpha': 0.05}           0.661217           0.740747           0.888715   \n",
       "4     {'alpha': 0.1}           0.665697           0.741945           0.888940   \n",
       "\n",
       "   split3_test_score  split4_test_score  mean_test_score  std_test_score  \\\n",
       "0           0.840038           0.859452         0.796432        0.086614   \n",
       "1           0.840047           0.859453         0.796465        0.086572   \n",
       "2           0.840132           0.859463         0.796785        0.086176   \n",
       "3           0.840452           0.859472         0.798003        0.084673   \n",
       "4           0.840748           0.859420         0.799235        0.083131   \n",
       "\n",
       "   rank_test_score  split0_train_score  split1_train_score  \\\n",
       "0               23            0.884335            0.863417   \n",
       "1               22            0.884335            0.863417   \n",
       "2               21            0.884333            0.863416   \n",
       "3               20            0.884296            0.863407   \n",
       "4               19            0.884216            0.863381   \n",
       "\n",
       "   split2_train_score  split3_train_score  split4_train_score  \\\n",
       "0            0.833396            0.847144            0.841988   \n",
       "1            0.833396            0.847144            0.841988   \n",
       "2            0.833395            0.847143            0.841988   \n",
       "3            0.833379            0.847130            0.841975   \n",
       "4            0.833340            0.847094            0.841943   \n",
       "\n",
       "   mean_train_score  std_train_score  \n",
       "0          0.854056         0.018026  \n",
       "1          0.854056         0.018026  \n",
       "2          0.854055         0.018026  \n",
       "3          0.854037         0.018019  \n",
       "4          0.853995         0.018005  "
      ]
     },
     "execution_count": 716,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# creating dataframe with model_ridge results\n",
    "ridge_results = pd.DataFrame(model_cv.cv_results_)\n",
    "ridge_results.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### Plotting the mean of the train and test results "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 717,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Converting the 'param_alpha' datatype from object to int\n",
    "ridge_results['param_alpha'] = ridge_results['param_alpha'].astype('int32')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 718,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plotting mean of Train score\n",
    "plt.figure(figsize=(8,6))\n",
    "plt.plot(ridge_results['param_alpha'], ridge_results['mean_train_score'])\n",
    "# Plotting mean of the Test score\n",
    "plt.plot(ridge_results['param_alpha'], ridge_results['mean_test_score'])\n",
    "plt.legend(['train score', 'test score'])\n",
    "plt.xlabel('alpha')\n",
    "plt.ylabel('mean r2 score')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### Analysis of the above graph\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "***Train Score***\n",
    "\n",
    "1. As the alpha (lambda) increases, the r2 score decreases. That means the error increases. Because the model becomes less overfitting and more generalised. Thus by increasing the alpha the model becomes more simple.\n",
    "\n",
    "***Test Score***\n",
    "\n",
    "1. With the very lower value of alpha, the error is high as we can see the r2 value decreased. But the error for the train set is low. It means that the model is clearly overfitting with very low value of alpha.\n",
    "2. With the increasing value of alpha, the error started decreasing more and it reached to a peak at alph=2. Here, the error is least and accuracy (r2 score) is the highest.\n",
    "3. After alpha=2, the r2 score started decreasing as the alpha is increasing. Hence, the model accuracy started dipping.\n",
    "\n",
    "`We need to pick the value of aplha for which the test score peaks up.` In this case in alpha=2, the error is least in the test set and hence the accuracy is more approximately 81%.\n",
    "\n",
    "So, the optimum alpha will be 2, for which we will have a right balance between the error and the generalisation of the model for creting a simpler model. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### Ridge regression with optimal alpha = 2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 719,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Ridge(alpha=2, copy_X=True, fit_intercept=True, max_iter=None, normalize=False,\n",
       "      random_state=None, solver='auto', tol=0.001)"
      ]
     },
     "execution_count": 719,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Instantiate Ridge regression with alpha=2\n",
    "model_ridge = Ridge(alpha=2)\n",
    "# Fitting the model with the train set\n",
    "model_ridge.fit(X_train, y_train)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Model evaluation Ridge Regression"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### Model performance on the train set"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 720,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.8466139247405419\n"
     ]
    }
   ],
   "source": [
    "y_train_pred = model_ridge.predict(X_train)\n",
    "print(metrics.r2_score(y_true = y_train, y_pred = y_train_pred))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### Model performance on the test set"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 721,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.8259049837470203\n"
     ]
    }
   ],
   "source": [
    "y_test_pred = model_ridge.predict(X_test)\n",
    "print(metrics.r2_score(y_true = y_test, y_pred = y_test_pred))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Conclusion"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We have a good train score 85% and good test score as well 83%. That means what the model learnt in the train set it performed well in the test set."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Ridge Regression Model Parameters"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 722,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[('constant', 0.068),\n",
       " ('LotFrontage', -0.021),\n",
       " ('LotArea', 0.055),\n",
       " ('MasVnrArea', 0.056),\n",
       " ('BsmtFinSF1', 0.042),\n",
       " ('BsmtFinSF2', 0.011),\n",
       " ('BsmtUnfSF', 0.04),\n",
       " ('1stFlrSF', 0.107),\n",
       " ('2ndFlrSF', 0.079),\n",
       " ('LowQualFinSF', -0.022),\n",
       " ('GrLivArea', 0.117),\n",
       " ('BsmtFullBath', 0.039),\n",
       " ('BsmtHalfBath', 0.002),\n",
       " ('FullBath', 0.053),\n",
       " ('HalfBath', 0.021),\n",
       " ('BedroomAbvGr', 0.01),\n",
       " ('KitchenAbvGr', -0.032),\n",
       " ('GarageArea', 0.05),\n",
       " ('WoodDeckSF', 0.017),\n",
       " ('OpenPorchSF', -0.01),\n",
       " ('EnclosedPorch', 0.016),\n",
       " ('3SsnPorch', 0.024),\n",
       " ('ScreenPorch', 0.012),\n",
       " ('PoolArea', 0.003),\n",
       " ('MiscVal', 0.001),\n",
       " ('AgeHouse', -0.03),\n",
       " ('MSZoning_RL', 0.017),\n",
       " ('LotShape_Reg', -0.004),\n",
       " ('LotConfig_Inside', -0.005),\n",
       " ('Neighborhood_BrkSide', 0.006),\n",
       " ('Neighborhood_CollgCr', -0.016),\n",
       " ('Neighborhood_Crawfor', 0.035),\n",
       " ('Neighborhood_Edwards', -0.036),\n",
       " ('Neighborhood_Gilbert', -0.023),\n",
       " ('Neighborhood_NAmes', -0.013),\n",
       " ('Neighborhood_NWAmes', -0.011),\n",
       " ('Neighborhood_NridgHt', 0.027),\n",
       " ('Neighborhood_OldTown', -0.005),\n",
       " ('Neighborhood_Sawyer', -0.014),\n",
       " ('Neighborhood_SawyerW', -0.006),\n",
       " ('Neighborhood_Somerst', 0.01),\n",
       " ('Condition1_Feedr', -0.012),\n",
       " ('Condition1_Norm', 0.012),\n",
       " ('OverallQual_4', -0.046),\n",
       " ('OverallQual_5', -0.049),\n",
       " ('OverallQual_6', -0.05),\n",
       " ('OverallQual_7', -0.04),\n",
       " ('OverallQual_8', -0.01),\n",
       " ('OverallCond_5', 0.008),\n",
       " ('OverallCond_6', 0.013),\n",
       " ('OverallCond_7', 0.028),\n",
       " ('OverallCond_8', 0.025),\n",
       " ('RoofStyle_Gable', -0.012),\n",
       " ('Exterior1st_HdBoard', -0.005),\n",
       " ('Exterior1st_MetalSd', 0.001),\n",
       " ('Exterior1st_Plywood', -0.001),\n",
       " ('Exterior1st_VinylSd', 0.001),\n",
       " ('Exterior1st_Wd Sdng', 0.002),\n",
       " ('MasVnrType_None', 0.007),\n",
       " ('MasVnrType_Stone', 0.006),\n",
       " ('ExterQual_TA', -0.01),\n",
       " ('Foundation_BrkTil', 0.002),\n",
       " ('Foundation_PConc', 0.005),\n",
       " ('BsmtQual_Ex', 0.047),\n",
       " ('BsmtQual_TA', 0.003),\n",
       " ('BsmtExposure_Av', 0.013),\n",
       " ('BsmtExposure_Gd', 0.031),\n",
       " ('BsmtExposure_Mn', 0.002),\n",
       " ('BsmtExposure_No', 0.002),\n",
       " ('BsmtFinType1_ALQ', 0.008),\n",
       " ('BsmtFinType1_BLQ', 0.006),\n",
       " ('BsmtFinType1_GLQ', 0.025),\n",
       " ('BsmtFinType1_LwQ', 0.003),\n",
       " ('BsmtFinType1_Rec', 0.006),\n",
       " ('BsmtFinType1_Unf', -0.003),\n",
       " ('HeatingQC_Ex', 0.015),\n",
       " ('HeatingQC_Gd', 0.012),\n",
       " ('HeatingQC_TA', 0.008),\n",
       " ('KitchenQual_TA', -0.006),\n",
       " ('FireplaceQu_Gd', 0.005),\n",
       " ('FireplaceQu_No Fireplace', -0.008),\n",
       " ('FireplaceQu_TA', 0.006),\n",
       " ('GarageType_Attchd', 0.008),\n",
       " ('GarageType_BuiltIn', 0.008),\n",
       " ('GarageType_No Garage', -0.003),\n",
       " ('GarageFinish_Fin', 0.008),\n",
       " ('GarageFinish_RFn', -0.001),\n",
       " ('GarageFinish_Unf', -0.003),\n",
       " ('Fence_No Fence', -0.003),\n",
       " ('SaleCondition_Abnorml', -0.001),\n",
       " ('SaleCondition_Normal', 0.005),\n",
       " ('SaleCondition_Partial', 0.017),\n",
       " ('MSSubClass_20', 0.022),\n",
       " ('MSSubClass_50', 0.005),\n",
       " ('MSSubClass_60', 0.007),\n",
       " ('MSSubClass_120', -0.008)]"
      ]
     },
     "execution_count": 722,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Coefficients list\n",
    "model_ridge_parameters = list(model_ridge.coef_)\n",
    "# Inserting Y Intercept to model parameters list\n",
    "model_ridge_parameters.insert(0, model_ridge.intercept_)\n",
    "# Rounding off the coefficients\n",
    "model_ridge_parameters = [round(i,3) for i in model_ridge_parameters]\n",
    "\n",
    "cols = X_train.columns\n",
    "cols = cols.insert(0,'constant')\n",
    "ridge_param_list = list(zip(cols, model_ridge_parameters))\n",
    "ridge_param_list"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### Top 10 features of Ridge regression"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 723,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Params</th>\n",
       "      <th>Coef</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>10</th>\n",
       "      <td>GrLivArea</td>\n",
       "      <td>0.117</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>1stFlrSF</td>\n",
       "      <td>0.107</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>2ndFlrSF</td>\n",
       "      <td>0.079</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>constant</td>\n",
       "      <td>0.068</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>MasVnrArea</td>\n",
       "      <td>0.056</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>LotArea</td>\n",
       "      <td>0.055</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13</th>\n",
       "      <td>FullBath</td>\n",
       "      <td>0.053</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>17</th>\n",
       "      <td>GarageArea</td>\n",
       "      <td>0.050</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>63</th>\n",
       "      <td>BsmtQual_Ex</td>\n",
       "      <td>0.047</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>BsmtFinSF1</td>\n",
       "      <td>0.042</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>BsmtUnfSF</td>\n",
       "      <td>0.040</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "         Params   Coef\n",
       "10    GrLivArea  0.117\n",
       "7      1stFlrSF  0.107\n",
       "8      2ndFlrSF  0.079\n",
       "0      constant  0.068\n",
       "3    MasVnrArea  0.056\n",
       "2       LotArea  0.055\n",
       "13     FullBath  0.053\n",
       "17   GarageArea  0.050\n",
       "63  BsmtQual_Ex  0.047\n",
       "4    BsmtFinSF1  0.042\n",
       "6     BsmtUnfSF  0.040"
      ]
     },
     "execution_count": 723,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ridge_params_df = pd.DataFrame({'Params':cols, 'Coef':model_ridge_parameters})\n",
    "(ridge_params_df.sort_values('Coef', ascending=False)).head(11)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Lasso Regression"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 728,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Importing Lasso module\n",
    "from sklearn.linear_model import Lasso"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 729,
   "metadata": {},
   "outputs": [],
   "source": [
    "params = {'alpha': [0.000001,0.00001,0.0001,0.001, 0.01, 1.0,2]}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 730,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Instantiate Lasso regression\n",
    "lasso = Lasso()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 731,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Fitting 5 folds for each of 7 candidates, totalling 35 fits\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "[Parallel(n_jobs=1)]: Using backend SequentialBackend with 1 concurrent workers.\n",
      "[Parallel(n_jobs=1)]: Done  35 out of  35 | elapsed:    1.9s finished\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "GridSearchCV(cv=5, error_score='raise-deprecating',\n",
       "             estimator=Lasso(alpha=1.0, copy_X=True, fit_intercept=True,\n",
       "                             max_iter=1000, normalize=False, positive=False,\n",
       "                             precompute=False, random_state=None,\n",
       "                             selection='cyclic', tol=0.0001, warm_start=False),\n",
       "             iid='warn', n_jobs=None,\n",
       "             param_grid={'alpha': [1e-06, 1e-05, 0.0001, 0.001, 0.01, 1.0, 2]},\n",
       "             pre_dispatch='2*n_jobs', refit=True, return_train_score=True,\n",
       "             scoring='r2', verbose=1)"
      ]
     },
     "execution_count": 731,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Cross validation with 5 folds\n",
    "model_cv = GridSearchCV(estimator=lasso,\n",
    "                       param_grid=params,\n",
    "                       scoring='r2',\n",
    "                       cv=folds,\n",
    "                       return_train_score=True,\n",
    "                       verbose=1)\n",
    "# Fitting the model with train set\n",
    "model_cv.fit(X_train, y_train)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 732,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>mean_fit_time</th>\n",
       "      <th>std_fit_time</th>\n",
       "      <th>mean_score_time</th>\n",
       "      <th>std_score_time</th>\n",
       "      <th>param_alpha</th>\n",
       "      <th>params</th>\n",
       "      <th>split0_test_score</th>\n",
       "      <th>split1_test_score</th>\n",
       "      <th>split2_test_score</th>\n",
       "      <th>split3_test_score</th>\n",
       "      <th>split4_test_score</th>\n",
       "      <th>mean_test_score</th>\n",
       "      <th>std_test_score</th>\n",
       "      <th>rank_test_score</th>\n",
       "      <th>split0_train_score</th>\n",
       "      <th>split1_train_score</th>\n",
       "      <th>split2_train_score</th>\n",
       "      <th>split3_train_score</th>\n",
       "      <th>split4_train_score</th>\n",
       "      <th>mean_train_score</th>\n",
       "      <th>std_train_score</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>0.175610</td>\n",
       "      <td>0.029154</td>\n",
       "      <td>0.0020</td>\n",
       "      <td>9.536743e-08</td>\n",
       "      <td>1e-06</td>\n",
       "      <td>{'alpha': 1e-06}</td>\n",
       "      <td>0.656566</td>\n",
       "      <td>0.739822</td>\n",
       "      <td>0.888482</td>\n",
       "      <td>0.840230</td>\n",
       "      <td>0.859509</td>\n",
       "      <td>0.796801</td>\n",
       "      <td>0.086243</td>\n",
       "      <td>3</td>\n",
       "      <td>0.884325</td>\n",
       "      <td>0.863416</td>\n",
       "      <td>0.833392</td>\n",
       "      <td>0.847142</td>\n",
       "      <td>0.841987</td>\n",
       "      <td>0.854052</td>\n",
       "      <td>0.018024</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>0.128807</td>\n",
       "      <td>0.012953</td>\n",
       "      <td>0.0018</td>\n",
       "      <td>4.000664e-04</td>\n",
       "      <td>1e-05</td>\n",
       "      <td>{'alpha': 1e-05}</td>\n",
       "      <td>0.661769</td>\n",
       "      <td>0.742667</td>\n",
       "      <td>0.888434</td>\n",
       "      <td>0.841687</td>\n",
       "      <td>0.860161</td>\n",
       "      <td>0.798826</td>\n",
       "      <td>0.084401</td>\n",
       "      <td>2</td>\n",
       "      <td>0.884210</td>\n",
       "      <td>0.863358</td>\n",
       "      <td>0.833264</td>\n",
       "      <td>0.847044</td>\n",
       "      <td>0.841870</td>\n",
       "      <td>0.853949</td>\n",
       "      <td>0.018031</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>0.035602</td>\n",
       "      <td>0.003720</td>\n",
       "      <td>0.0020</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.0001</td>\n",
       "      <td>{'alpha': 0.0001}</td>\n",
       "      <td>0.688532</td>\n",
       "      <td>0.761815</td>\n",
       "      <td>0.886558</td>\n",
       "      <td>0.841882</td>\n",
       "      <td>0.851595</td>\n",
       "      <td>0.805975</td>\n",
       "      <td>0.071616</td>\n",
       "      <td>1</td>\n",
       "      <td>0.880474</td>\n",
       "      <td>0.859274</td>\n",
       "      <td>0.829481</td>\n",
       "      <td>0.843330</td>\n",
       "      <td>0.837595</td>\n",
       "      <td>0.850031</td>\n",
       "      <td>0.018078</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>0.007800</td>\n",
       "      <td>0.000748</td>\n",
       "      <td>0.0016</td>\n",
       "      <td>4.899598e-04</td>\n",
       "      <td>0.001</td>\n",
       "      <td>{'alpha': 0.001}</td>\n",
       "      <td>0.713167</td>\n",
       "      <td>0.761584</td>\n",
       "      <td>0.835840</td>\n",
       "      <td>0.797752</td>\n",
       "      <td>0.774152</td>\n",
       "      <td>0.776445</td>\n",
       "      <td>0.040551</td>\n",
       "      <td>4</td>\n",
       "      <td>0.823097</td>\n",
       "      <td>0.807146</td>\n",
       "      <td>0.781874</td>\n",
       "      <td>0.794344</td>\n",
       "      <td>0.792798</td>\n",
       "      <td>0.799851</td>\n",
       "      <td>0.014120</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>0.005800</td>\n",
       "      <td>0.000400</td>\n",
       "      <td>0.0020</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.01</td>\n",
       "      <td>{'alpha': 0.01}</td>\n",
       "      <td>0.444677</td>\n",
       "      <td>0.561309</td>\n",
       "      <td>0.466757</td>\n",
       "      <td>0.492897</td>\n",
       "      <td>0.442644</td>\n",
       "      <td>0.481625</td>\n",
       "      <td>0.043772</td>\n",
       "      <td>5</td>\n",
       "      <td>0.499873</td>\n",
       "      <td>0.498793</td>\n",
       "      <td>0.461588</td>\n",
       "      <td>0.489604</td>\n",
       "      <td>0.491882</td>\n",
       "      <td>0.488348</td>\n",
       "      <td>0.013943</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   mean_fit_time  std_fit_time  mean_score_time  std_score_time param_alpha  \\\n",
       "0       0.175610      0.029154           0.0020    9.536743e-08       1e-06   \n",
       "1       0.128807      0.012953           0.0018    4.000664e-04       1e-05   \n",
       "2       0.035602      0.003720           0.0020    0.000000e+00      0.0001   \n",
       "3       0.007800      0.000748           0.0016    4.899598e-04       0.001   \n",
       "4       0.005800      0.000400           0.0020    0.000000e+00        0.01   \n",
       "\n",
       "              params  split0_test_score  split1_test_score  split2_test_score  \\\n",
       "0   {'alpha': 1e-06}           0.656566           0.739822           0.888482   \n",
       "1   {'alpha': 1e-05}           0.661769           0.742667           0.888434   \n",
       "2  {'alpha': 0.0001}           0.688532           0.761815           0.886558   \n",
       "3   {'alpha': 0.001}           0.713167           0.761584           0.835840   \n",
       "4    {'alpha': 0.01}           0.444677           0.561309           0.466757   \n",
       "\n",
       "   split3_test_score  split4_test_score  mean_test_score  std_test_score  \\\n",
       "0           0.840230           0.859509         0.796801        0.086243   \n",
       "1           0.841687           0.860161         0.798826        0.084401   \n",
       "2           0.841882           0.851595         0.805975        0.071616   \n",
       "3           0.797752           0.774152         0.776445        0.040551   \n",
       "4           0.492897           0.442644         0.481625        0.043772   \n",
       "\n",
       "   rank_test_score  split0_train_score  split1_train_score  \\\n",
       "0                3            0.884325            0.863416   \n",
       "1                2            0.884210            0.863358   \n",
       "2                1            0.880474            0.859274   \n",
       "3                4            0.823097            0.807146   \n",
       "4                5            0.499873            0.498793   \n",
       "\n",
       "   split2_train_score  split3_train_score  split4_train_score  \\\n",
       "0            0.833392            0.847142            0.841987   \n",
       "1            0.833264            0.847044            0.841870   \n",
       "2            0.829481            0.843330            0.837595   \n",
       "3            0.781874            0.794344            0.792798   \n",
       "4            0.461588            0.489604            0.491882   \n",
       "\n",
       "   mean_train_score  std_train_score  \n",
       "0          0.854052         0.018024  \n",
       "1          0.853949         0.018031  \n",
       "2          0.850031         0.018078  \n",
       "3          0.799851         0.014120  \n",
       "4          0.488348         0.013943  "
      ]
     },
     "execution_count": 732,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# creating dataframe with model_cv results\n",
    "lasso_results = pd.DataFrame(model_cv.cv_results_)\n",
    "lasso_results.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### Plotting the mean of the train and test results "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 733,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Converting the 'param_alpha' datatype from object to int\n",
    "lasso_results['param_alpha'] = lasso_results['param_alpha'].astype('int32')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 734,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plotting mean of Train score\n",
    "plt.figure(figsize=(8,6))\n",
    "plt.plot(lasso_results['param_alpha'], lasso_results['mean_train_score'])\n",
    "# Plotting mean of the Test score\n",
    "plt.plot(lasso_results['param_alpha'], lasso_results['mean_test_score'])\n",
    "\n",
    "plt.legend(['train score', 'test score'])\n",
    "plt.xlabel('alpha')\n",
    "plt.ylabel('mean r2 score')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Analysis of the above graph"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "From the above graph we can see that with very lower value of alpha (almost colse to 0) the accuracy of the train and test set is the highest. Coincidentally they both are alomost same.\n",
    "\n",
    "***Train Score***\n",
    "\n",
    "1. As the alpha (lambda) increases, the r2 score decreases. That means the error increases. Because the model becomes less overfitting and more generalised. At 0.002 (close to 0) the train set accury is highest(more than 80%).\n",
    "\n",
    "***Test Score***\n",
    "\n",
    "1. At alpha = 0.002 the test accuracy is highest (more than 80%).\n",
    "3. After alpha=0.002, the r2 score started decreasing as the alpha is increasing. Hence, the model accuracy started dipping.\n",
    "\n",
    "`We need to pick the value of aplha for which the test score peaks up.` In this case at alpha=0.002, the error is least in the test set and hence the accuracy is more approximately 80%.\n",
    "\n",
    "So, the optimum alpha will be 0.002, for which we will have a right balance between the error and the generalisation of the model for creating a simpler model. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### Lasso regression with optimal alpha 0.002"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 735,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Lasso(alpha=0.002, copy_X=True, fit_intercept=True, max_iter=1000,\n",
       "      normalize=False, positive=False, precompute=False, random_state=None,\n",
       "      selection='cyclic', tol=0.0001, warm_start=False)"
      ]
     },
     "execution_count": 735,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Instantiate Lasso regression with alpha=0.002\n",
    "model_lasso = Lasso(0.002)\n",
    "# Fitting the model with the train set\n",
    "model_lasso.fit(X_train, y_train)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Model evaluation Lasso Regression"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### Model performance on the train set"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 736,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.7458369471737627\n"
     ]
    }
   ],
   "source": [
    "y_train_pred = model_lasso.predict(X_train)\n",
    "print(metrics.r2_score(y_true = y_train, y_pred = y_train_pred))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### Model performance on the test set"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 737,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.6935172646782988\n"
     ]
    }
   ],
   "source": [
    "y_test_pred = model_lasso.predict(X_test)\n",
    "print(metrics.r2_score(y_true = y_test, y_pred = y_test_pred))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Conclusion"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We have train set accuracy 75% whereas test set accuracy is 70%. From the accuracy gap, we can conclude that what the model learnt on the train set, it performed well on the test set."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Lasso Regression Model Parameters"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 738,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[('constant', 0.17),\n",
       " ('LotFrontage', 0.0),\n",
       " ('LotArea', 0.0),\n",
       " ('MasVnrArea', 0.0),\n",
       " ('BsmtFinSF1', 0.0),\n",
       " ('BsmtFinSF2', 0.0),\n",
       " ('BsmtUnfSF', 0.0),\n",
       " ('1stFlrSF', 0.0),\n",
       " ('2ndFlrSF', 0.006),\n",
       " ('LowQualFinSF', -0.0),\n",
       " ('GrLivArea', 0.096),\n",
       " ('BsmtFullBath', 0.0),\n",
       " ('BsmtHalfBath', -0.0),\n",
       " ('FullBath', 0.035),\n",
       " ('HalfBath', 0.002),\n",
       " ('BedroomAbvGr', 0.0),\n",
       " ('KitchenAbvGr', -0.0),\n",
       " ('GarageArea', 0.052),\n",
       " ('WoodDeckSF', 0.0),\n",
       " ('OpenPorchSF', 0.0),\n",
       " ('EnclosedPorch', 0.0),\n",
       " ('3SsnPorch', 0.0),\n",
       " ('ScreenPorch', 0.0),\n",
       " ('PoolArea', 0.0),\n",
       " ('MiscVal', 0.0),\n",
       " ('AgeHouse', -0.0),\n",
       " ('MSZoning_RL', 0.01),\n",
       " ('LotShape_Reg', -0.008),\n",
       " ('LotConfig_Inside', -0.0),\n",
       " ('Neighborhood_BrkSide', -0.0),\n",
       " ('Neighborhood_CollgCr', -0.0),\n",
       " ('Neighborhood_Crawfor', 0.0),\n",
       " ('Neighborhood_Edwards', -0.0),\n",
       " ('Neighborhood_Gilbert', -0.0),\n",
       " ('Neighborhood_NAmes', -0.0),\n",
       " ('Neighborhood_NWAmes', 0.0),\n",
       " ('Neighborhood_NridgHt', 0.009),\n",
       " ('Neighborhood_OldTown', -0.0),\n",
       " ('Neighborhood_Sawyer', -0.0),\n",
       " ('Neighborhood_SawyerW', -0.0),\n",
       " ('Neighborhood_Somerst', 0.0),\n",
       " ('Condition1_Feedr', -0.0),\n",
       " ('Condition1_Norm', 0.0),\n",
       " ('OverallQual_4', -0.0),\n",
       " ('OverallQual_5', -0.0),\n",
       " ('OverallQual_6', -0.0),\n",
       " ('OverallQual_7', 0.0),\n",
       " ('OverallQual_8', 0.021),\n",
       " ('OverallCond_5', 0.0),\n",
       " ('OverallCond_6', -0.0),\n",
       " ('OverallCond_7', 0.0),\n",
       " ('OverallCond_8', 0.0),\n",
       " ('RoofStyle_Gable', -0.016),\n",
       " ('Exterior1st_HdBoard', -0.0),\n",
       " ('Exterior1st_MetalSd', -0.0),\n",
       " ('Exterior1st_Plywood', 0.0),\n",
       " ('Exterior1st_VinylSd', 0.0),\n",
       " ('Exterior1st_Wd Sdng', -0.0),\n",
       " ('MasVnrType_None', -0.007),\n",
       " ('MasVnrType_Stone', 0.0),\n",
       " ('ExterQual_TA', -0.029),\n",
       " ('Foundation_BrkTil', -0.0),\n",
       " ('Foundation_PConc', 0.003),\n",
       " ('BsmtQual_Ex', 0.081),\n",
       " ('BsmtQual_TA', -0.0),\n",
       " ('BsmtExposure_Av', 0.0),\n",
       " ('BsmtExposure_Gd', 0.017),\n",
       " ('BsmtExposure_Mn', -0.0),\n",
       " ('BsmtExposure_No', -0.002),\n",
       " ('BsmtFinType1_ALQ', 0.0),\n",
       " ('BsmtFinType1_BLQ', -0.0),\n",
       " ('BsmtFinType1_GLQ', 0.025),\n",
       " ('BsmtFinType1_LwQ', -0.0),\n",
       " ('BsmtFinType1_Rec', 0.0),\n",
       " ('BsmtFinType1_Unf', -0.0),\n",
       " ('HeatingQC_Ex', 0.009),\n",
       " ('HeatingQC_Gd', -0.0),\n",
       " ('HeatingQC_TA', -0.0),\n",
       " ('KitchenQual_TA', -0.02),\n",
       " ('FireplaceQu_Gd', 0.0),\n",
       " ('FireplaceQu_No Fireplace', -0.032),\n",
       " ('FireplaceQu_TA', 0.0),\n",
       " ('GarageType_Attchd', 0.007),\n",
       " ('GarageType_BuiltIn', 0.0),\n",
       " ('GarageType_No Garage', -0.0),\n",
       " ('GarageFinish_Fin', 0.011),\n",
       " ('GarageFinish_RFn', 0.0),\n",
       " ('GarageFinish_Unf', -0.0),\n",
       " ('Fence_No Fence', 0.0),\n",
       " ('SaleCondition_Abnorml', -0.0),\n",
       " ('SaleCondition_Normal', -0.0),\n",
       " ('SaleCondition_Partial', 0.0),\n",
       " ('MSSubClass_20', 0.004),\n",
       " ('MSSubClass_50', 0.0),\n",
       " ('MSSubClass_60', 0.012),\n",
       " ('MSSubClass_120', -0.0)]"
      ]
     },
     "execution_count": 738,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Coefficients list\n",
    "model_lasso_parameters = list(model_lasso.coef_)\n",
    "# Inserting Y Intercept to model parameters list\n",
    "model_lasso_parameters.insert(0, model_lasso.intercept_)\n",
    "# Rounding off the coefficients\n",
    "model_lasso_parameters = [round(i,3) for i in model_lasso_parameters]\n",
    "\n",
    "cols = X_train.columns\n",
    "cols = cols.insert(0,'constant')\n",
    "lasso_param_list = list(zip(cols, model_lasso_parameters))\n",
    "lasso_param_list"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Feature selected by Lasso regression"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 739,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
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       "    }\n",
       "\n",
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       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Params</th>\n",
       "      <th>Coef</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>constant</td>\n",
       "      <td>0.170</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>2ndFlrSF</td>\n",
       "      <td>0.006</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10</th>\n",
       "      <td>GrLivArea</td>\n",
       "      <td>0.096</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13</th>\n",
       "      <td>FullBath</td>\n",
       "      <td>0.035</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14</th>\n",
       "      <td>HalfBath</td>\n",
       "      <td>0.002</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>17</th>\n",
       "      <td>GarageArea</td>\n",
       "      <td>0.052</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>26</th>\n",
       "      <td>MSZoning_RL</td>\n",
       "      <td>0.010</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>27</th>\n",
       "      <td>LotShape_Reg</td>\n",
       "      <td>-0.008</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>36</th>\n",
       "      <td>Neighborhood_NridgHt</td>\n",
       "      <td>0.009</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>47</th>\n",
       "      <td>OverallQual_8</td>\n",
       "      <td>0.021</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>52</th>\n",
       "      <td>RoofStyle_Gable</td>\n",
       "      <td>-0.016</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>58</th>\n",
       "      <td>MasVnrType_None</td>\n",
       "      <td>-0.007</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>60</th>\n",
       "      <td>ExterQual_TA</td>\n",
       "      <td>-0.029</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>62</th>\n",
       "      <td>Foundation_PConc</td>\n",
       "      <td>0.003</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>63</th>\n",
       "      <td>BsmtQual_Ex</td>\n",
       "      <td>0.081</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>66</th>\n",
       "      <td>BsmtExposure_Gd</td>\n",
       "      <td>0.017</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>68</th>\n",
       "      <td>BsmtExposure_No</td>\n",
       "      <td>-0.002</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>71</th>\n",
       "      <td>BsmtFinType1_GLQ</td>\n",
       "      <td>0.025</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>75</th>\n",
       "      <td>HeatingQC_Ex</td>\n",
       "      <td>0.009</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>78</th>\n",
       "      <td>KitchenQual_TA</td>\n",
       "      <td>-0.020</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>80</th>\n",
       "      <td>FireplaceQu_No Fireplace</td>\n",
       "      <td>-0.032</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>82</th>\n",
       "      <td>GarageType_Attchd</td>\n",
       "      <td>0.007</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>85</th>\n",
       "      <td>GarageFinish_Fin</td>\n",
       "      <td>0.011</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>92</th>\n",
       "      <td>MSSubClass_20</td>\n",
       "      <td>0.004</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>94</th>\n",
       "      <td>MSSubClass_60</td>\n",
       "      <td>0.012</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                      Params   Coef\n",
       "0                   constant  0.170\n",
       "8                   2ndFlrSF  0.006\n",
       "10                 GrLivArea  0.096\n",
       "13                  FullBath  0.035\n",
       "14                  HalfBath  0.002\n",
       "17                GarageArea  0.052\n",
       "26               MSZoning_RL  0.010\n",
       "27              LotShape_Reg -0.008\n",
       "36      Neighborhood_NridgHt  0.009\n",
       "47             OverallQual_8  0.021\n",
       "52           RoofStyle_Gable -0.016\n",
       "58           MasVnrType_None -0.007\n",
       "60              ExterQual_TA -0.029\n",
       "62          Foundation_PConc  0.003\n",
       "63               BsmtQual_Ex  0.081\n",
       "66           BsmtExposure_Gd  0.017\n",
       "68           BsmtExposure_No -0.002\n",
       "71          BsmtFinType1_GLQ  0.025\n",
       "75              HeatingQC_Ex  0.009\n",
       "78            KitchenQual_TA -0.020\n",
       "80  FireplaceQu_No Fireplace -0.032\n",
       "82         GarageType_Attchd  0.007\n",
       "85          GarageFinish_Fin  0.011\n",
       "92             MSSubClass_20  0.004\n",
       "94             MSSubClass_60  0.012"
      ]
     },
     "execution_count": 739,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Parameters having coefficients greater than 1\n",
    "lasso_params_df = pd.DataFrame({'Params':cols, 'Coef':model_lasso_parameters})\n",
    "lasso_params_df = lasso_params_df.loc[lasso_params_df['Coef'] != 0]\n",
    "lasso_params_df"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### Number of parameters selected by the Lasso regression"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 740,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "24"
      ]
     },
     "execution_count": 740,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Minus one as we have constant present in lasso_params_df\n",
    "len(lasso_params_df)-1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 741,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
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       "<style scoped>\n",
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       "\n",
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       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Params</th>\n",
       "      <th>Coef</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>constant</td>\n",
       "      <td>0.170</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10</th>\n",
       "      <td>GrLivArea</td>\n",
       "      <td>0.096</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>63</th>\n",
       "      <td>BsmtQual_Ex</td>\n",
       "      <td>0.081</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>17</th>\n",
       "      <td>GarageArea</td>\n",
       "      <td>0.052</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13</th>\n",
       "      <td>FullBath</td>\n",
       "      <td>0.035</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>71</th>\n",
       "      <td>BsmtFinType1_GLQ</td>\n",
       "      <td>0.025</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>47</th>\n",
       "      <td>OverallQual_8</td>\n",
       "      <td>0.021</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>66</th>\n",
       "      <td>BsmtExposure_Gd</td>\n",
       "      <td>0.017</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>94</th>\n",
       "      <td>MSSubClass_60</td>\n",
       "      <td>0.012</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>85</th>\n",
       "      <td>GarageFinish_Fin</td>\n",
       "      <td>0.011</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>26</th>\n",
       "      <td>MSZoning_RL</td>\n",
       "      <td>0.010</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>36</th>\n",
       "      <td>Neighborhood_NridgHt</td>\n",
       "      <td>0.009</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>75</th>\n",
       "      <td>HeatingQC_Ex</td>\n",
       "      <td>0.009</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>82</th>\n",
       "      <td>GarageType_Attchd</td>\n",
       "      <td>0.007</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>2ndFlrSF</td>\n",
       "      <td>0.006</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>92</th>\n",
       "      <td>MSSubClass_20</td>\n",
       "      <td>0.004</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>62</th>\n",
       "      <td>Foundation_PConc</td>\n",
       "      <td>0.003</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14</th>\n",
       "      <td>HalfBath</td>\n",
       "      <td>0.002</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>68</th>\n",
       "      <td>BsmtExposure_No</td>\n",
       "      <td>-0.002</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>58</th>\n",
       "      <td>MasVnrType_None</td>\n",
       "      <td>-0.007</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>27</th>\n",
       "      <td>LotShape_Reg</td>\n",
       "      <td>-0.008</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>52</th>\n",
       "      <td>RoofStyle_Gable</td>\n",
       "      <td>-0.016</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>78</th>\n",
       "      <td>KitchenQual_TA</td>\n",
       "      <td>-0.020</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>60</th>\n",
       "      <td>ExterQual_TA</td>\n",
       "      <td>-0.029</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>80</th>\n",
       "      <td>FireplaceQu_No Fireplace</td>\n",
       "      <td>-0.032</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                      Params   Coef\n",
       "0                   constant  0.170\n",
       "10                 GrLivArea  0.096\n",
       "63               BsmtQual_Ex  0.081\n",
       "17                GarageArea  0.052\n",
       "13                  FullBath  0.035\n",
       "71          BsmtFinType1_GLQ  0.025\n",
       "47             OverallQual_8  0.021\n",
       "66           BsmtExposure_Gd  0.017\n",
       "94             MSSubClass_60  0.012\n",
       "85          GarageFinish_Fin  0.011\n",
       "26               MSZoning_RL  0.010\n",
       "36      Neighborhood_NridgHt  0.009\n",
       "75              HeatingQC_Ex  0.009\n",
       "82         GarageType_Attchd  0.007\n",
       "8                   2ndFlrSF  0.006\n",
       "92             MSSubClass_20  0.004\n",
       "62          Foundation_PConc  0.003\n",
       "14                  HalfBath  0.002\n",
       "68           BsmtExposure_No -0.002\n",
       "58           MasVnrType_None -0.007\n",
       "27              LotShape_Reg -0.008\n",
       "52           RoofStyle_Gable -0.016\n",
       "78            KitchenQual_TA -0.020\n",
       "60              ExterQual_TA -0.029\n",
       "80  FireplaceQu_No Fireplace -0.032"
      ]
     },
     "execution_count": 741,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Sorting the parameters with their Coefficient values\n",
    "lasso_params_df.sort_values('Coef',ascending=False)"
   ]
  }
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