{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import pandas as pd\n", "import matplotlib.pyplot as plt\n", "import seaborn as sns\n", "import os.path" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Gathering data" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "dataset = pd.read_csv('boston.tsv', sep='\\t', index_col=0)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Descriptive Analysis" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "<class 'pandas.core.frame.DataFrame'>\n", "Int64Index: 506 entries, 1 to 506\n", "Data columns (total 20 columns):\n", " # Column Non-Null Count Dtype \n", "--- ------ -------------- ----- \n", " 0 TOWN 506 non-null object \n", " 1 TOWN# 506 non-null int64 \n", " 2 TRACT 506 non-null int64 \n", " 3 LON 506 non-null float64\n", " 4 LAT 506 non-null float64\n", " 5 MEDV 506 non-null float64\n", " 6 CMEDV 506 non-null float64\n", " 7 CRIM 506 non-null float64\n", " 8 ZN 506 non-null float64\n", " 9 INDUS 506 non-null float64\n", " 10 CHAS 506 non-null int64 \n", " 11 NOX 506 non-null float64\n", " 12 RM 506 non-null float64\n", " 13 AGE 506 non-null float64\n", " 14 DIS 506 non-null float64\n", " 15 RAD 506 non-null int64 \n", " 16 TAX 506 non-null int64 \n", " 17 PTRATIO 506 non-null float64\n", " 18 B 506 non-null float64\n", " 19 LSTAT 506 non-null float64\n", "dtypes: float64(14), int64(5), object(1)\n", "memory usage: 83.0+ KB\n" ] } ], "source": [ "dataset.info()" ] }, { "cell_type": "code", "execution_count": 4, "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>TOWN</th>\n", " <th>TOWN#</th>\n", " <th>TRACT</th>\n", " <th>LON</th>\n", " <th>LAT</th>\n", " <th>MEDV</th>\n", " <th>CMEDV</th>\n", " <th>CRIM</th>\n", " <th>ZN</th>\n", " <th>INDUS</th>\n", " <th>CHAS</th>\n", " <th>NOX</th>\n", " <th>RM</th>\n", " <th>AGE</th>\n", " <th>DIS</th>\n", " <th>RAD</th>\n", " <th>TAX</th>\n", " <th>PTRATIO</th>\n", " <th>B</th>\n", " <th>LSTAT</th>\n", " </tr>\n", " <tr>\n", " <th>OBS.</th>\n", " <th></th>\n", " <th></th>\n", " <th></th>\n", " <th></th>\n", " <th></th>\n", " <th></th>\n", " <th></th>\n", " <th></th>\n", " <th></th>\n", " <th></th>\n", " <th></th>\n", " <th></th>\n", " <th></th>\n", " <th></th>\n", " <th></th>\n", " <th></th>\n", " <th></th>\n", " <th></th>\n", " <th></th>\n", " <th></th>\n", " </tr>\n", " </thead>\n", " <tbody>\n", " <tr>\n", " <th>1</th>\n", " <td>Nahant</td>\n", " <td>0</td>\n", " <td>2011</td>\n", " <td>-70.955</td>\n", " <td>42.2550</td>\n", " <td>24.0</td>\n", " <td>24.0</td>\n", " <td>0.00632</td>\n", " <td>18.0</td>\n", " <td>2.31</td>\n", " <td>0</td>\n", " <td>0.538</td>\n", " <td>6.575</td>\n", " <td>65.2</td>\n", " <td>4.0900</td>\n", " <td>1</td>\n", " <td>296</td>\n", " <td>15.3</td>\n", " <td>396.90</td>\n", " <td>4.98</td>\n", " </tr>\n", " <tr>\n", " <th>2</th>\n", " <td>Swampscott</td>\n", " <td>1</td>\n", " <td>2021</td>\n", " <td>-70.950</td>\n", " <td>42.2875</td>\n", " <td>21.6</td>\n", " <td>21.6</td>\n", " <td>0.02731</td>\n", " <td>0.0</td>\n", " <td>7.07</td>\n", " <td>0</td>\n", " <td>0.469</td>\n", " <td>6.421</td>\n", " <td>78.9</td>\n", " <td>4.9671</td>\n", " <td>2</td>\n", " <td>242</td>\n", " <td>17.8</td>\n", " <td>396.90</td>\n", " <td>9.14</td>\n", " </tr>\n", " <tr>\n", " <th>3</th>\n", " <td>Swampscott</td>\n", " <td>1</td>\n", " <td>2022</td>\n", " <td>-70.936</td>\n", " <td>42.2830</td>\n", " <td>34.7</td>\n", " <td>34.7</td>\n", " <td>0.02729</td>\n", " <td>0.0</td>\n", " <td>7.07</td>\n", " <td>0</td>\n", " <td>0.469</td>\n", " <td>7.185</td>\n", " <td>61.1</td>\n", " <td>4.9671</td>\n", " <td>2</td>\n", " <td>242</td>\n", " <td>17.8</td>\n", " <td>392.83</td>\n", " <td>4.03</td>\n", " </tr>\n", " <tr>\n", " <th>4</th>\n", " <td>Marblehead</td>\n", " <td>2</td>\n", " <td>2031</td>\n", " <td>-70.928</td>\n", " <td>42.2930</td>\n", " <td>33.4</td>\n", " <td>33.4</td>\n", " <td>0.03237</td>\n", " <td>0.0</td>\n", " <td>2.18</td>\n", " <td>0</td>\n", " <td>0.458</td>\n", " <td>6.998</td>\n", " <td>45.8</td>\n", " <td>6.0622</td>\n", " <td>3</td>\n", " <td>222</td>\n", " <td>18.7</td>\n", " <td>394.63</td>\n", " <td>2.94</td>\n", " </tr>\n", " <tr>\n", " <th>5</th>\n", " <td>Marblehead</td>\n", " <td>2</td>\n", " <td>2032</td>\n", " <td>-70.922</td>\n", " <td>42.2980</td>\n", " <td>36.2</td>\n", " <td>36.2</td>\n", " <td>0.06905</td>\n", " <td>0.0</td>\n", " <td>2.18</td>\n", " <td>0</td>\n", " <td>0.458</td>\n", " <td>7.147</td>\n", " <td>54.2</td>\n", " <td>6.0622</td>\n", " <td>3</td>\n", " <td>222</td>\n", " <td>18.7</td>\n", " <td>396.90</td>\n", " <td>5.33</td>\n", " </tr>\n", " </tbody>\n", "</table>\n", "</div>" ], "text/plain": [ " TOWN TOWN# TRACT LON LAT MEDV CMEDV CRIM ZN \\\n", "OBS. \n", "1 Nahant 0 2011 -70.955 42.2550 24.0 24.0 0.00632 18.0 \n", "2 Swampscott 1 2021 -70.950 42.2875 21.6 21.6 0.02731 0.0 \n", "3 Swampscott 1 2022 -70.936 42.2830 34.7 34.7 0.02729 0.0 \n", "4 Marblehead 2 2031 -70.928 42.2930 33.4 33.4 0.03237 0.0 \n", "5 Marblehead 2 2032 -70.922 42.2980 36.2 36.2 0.06905 0.0 \n", "\n", " INDUS CHAS NOX RM AGE DIS RAD TAX PTRATIO B \\\n", "OBS. \n", "1 2.31 0 0.538 6.575 65.2 4.0900 1 296 15.3 396.90 \n", "2 7.07 0 0.469 6.421 78.9 4.9671 2 242 17.8 396.90 \n", "3 7.07 0 0.469 7.185 61.1 4.9671 2 242 17.8 392.83 \n", "4 2.18 0 0.458 6.998 45.8 6.0622 3 222 18.7 394.63 \n", "5 2.18 0 0.458 7.147 54.2 6.0622 3 222 18.7 396.90 \n", "\n", " LSTAT \n", "OBS. \n", "1 4.98 \n", "2 9.14 \n", "3 4.03 \n", "4 2.94 \n", "5 5.33 " ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "dataset.head()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Dataset Used for our Analysis: analysis_dataset" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "analysis_dataset = data=dataset.iloc[:, 6:]" ] }, { "cell_type": "code", "execution_count": 6, "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>CMEDV</th>\n", " <th>CRIM</th>\n", " <th>ZN</th>\n", " <th>INDUS</th>\n", " <th>CHAS</th>\n", " <th>NOX</th>\n", " <th>RM</th>\n", " <th>AGE</th>\n", " <th>DIS</th>\n", " <th>RAD</th>\n", " <th>TAX</th>\n", " <th>PTRATIO</th>\n", " <th>B</th>\n", " <th>LSTAT</th>\n", " </tr>\n", " <tr>\n", " <th>OBS.</th>\n", " <th></th>\n", " <th></th>\n", " <th></th>\n", " <th></th>\n", " <th></th>\n", " <th></th>\n", " <th></th>\n", " <th></th>\n", " <th></th>\n", " <th></th>\n", " <th></th>\n", " <th></th>\n", " <th></th>\n", " <th></th>\n", " </tr>\n", " </thead>\n", " <tbody>\n", " <tr>\n", " <th>1</th>\n", " <td>24.0</td>\n", " <td>0.00632</td>\n", " <td>18.0</td>\n", " <td>2.31</td>\n", " <td>0</td>\n", " <td>0.538</td>\n", " <td>6.575</td>\n", " <td>65.2</td>\n", " <td>4.0900</td>\n", " <td>1</td>\n", " <td>296</td>\n", " <td>15.3</td>\n", " <td>396.90</td>\n", " <td>4.98</td>\n", " </tr>\n", " <tr>\n", " <th>2</th>\n", " <td>21.6</td>\n", " <td>0.02731</td>\n", " <td>0.0</td>\n", " <td>7.07</td>\n", " <td>0</td>\n", " <td>0.469</td>\n", " <td>6.421</td>\n", " <td>78.9</td>\n", " <td>4.9671</td>\n", " <td>2</td>\n", " <td>242</td>\n", " <td>17.8</td>\n", " <td>396.90</td>\n", " <td>9.14</td>\n", " </tr>\n", " <tr>\n", " <th>3</th>\n", " <td>34.7</td>\n", " <td>0.02729</td>\n", " <td>0.0</td>\n", " <td>7.07</td>\n", " <td>0</td>\n", " <td>0.469</td>\n", " <td>7.185</td>\n", " <td>61.1</td>\n", " <td>4.9671</td>\n", " <td>2</td>\n", " <td>242</td>\n", " <td>17.8</td>\n", " <td>392.83</td>\n", " <td>4.03</td>\n", " </tr>\n", " <tr>\n", " <th>4</th>\n", " <td>33.4</td>\n", " <td>0.03237</td>\n", " <td>0.0</td>\n", " <td>2.18</td>\n", " <td>0</td>\n", " <td>0.458</td>\n", " <td>6.998</td>\n", " <td>45.8</td>\n", " <td>6.0622</td>\n", " <td>3</td>\n", " <td>222</td>\n", " <td>18.7</td>\n", " <td>394.63</td>\n", " <td>2.94</td>\n", " </tr>\n", " <tr>\n", " <th>5</th>\n", " <td>36.2</td>\n", " <td>0.06905</td>\n", " <td>0.0</td>\n", " <td>2.18</td>\n", " <td>0</td>\n", " <td>0.458</td>\n", " <td>7.147</td>\n", " <td>54.2</td>\n", " <td>6.0622</td>\n", " <td>3</td>\n", " <td>222</td>\n", " <td>18.7</td>\n", " <td>396.90</td>\n", " <td>5.33</td>\n", " </tr>\n", " <tr>\n", " <th>...</th>\n", " <td>...</td>\n", " <td>...</td>\n", " <td>...</td>\n", " <td>...</td>\n", " <td>...</td>\n", " <td>...</td>\n", " <td>...</td>\n", " <td>...</td>\n", " <td>...</td>\n", " <td>...</td>\n", " <td>...</td>\n", " <td>...</td>\n", " <td>...</td>\n", " <td>...</td>\n", " </tr>\n", " <tr>\n", " <th>502</th>\n", " <td>22.4</td>\n", " <td>0.06263</td>\n", " <td>0.0</td>\n", " <td>11.93</td>\n", " <td>0</td>\n", " <td>0.573</td>\n", " <td>6.593</td>\n", " <td>69.1</td>\n", " <td>2.4786</td>\n", " <td>1</td>\n", " <td>273</td>\n", " <td>21.0</td>\n", " <td>391.99</td>\n", " <td>9.67</td>\n", " </tr>\n", " <tr>\n", " <th>503</th>\n", " <td>20.6</td>\n", " <td>0.04527</td>\n", " <td>0.0</td>\n", " <td>11.93</td>\n", " <td>0</td>\n", " <td>0.573</td>\n", " <td>6.120</td>\n", " <td>76.7</td>\n", " <td>2.2875</td>\n", " <td>1</td>\n", " <td>273</td>\n", " <td>21.0</td>\n", " <td>396.90</td>\n", " <td>9.08</td>\n", " </tr>\n", " <tr>\n", " <th>504</th>\n", " <td>23.9</td>\n", " <td>0.06076</td>\n", " <td>0.0</td>\n", " <td>11.93</td>\n", " <td>0</td>\n", " <td>0.573</td>\n", " <td>6.976</td>\n", " <td>91.0</td>\n", " <td>2.1675</td>\n", " <td>1</td>\n", " <td>273</td>\n", " <td>21.0</td>\n", " <td>396.90</td>\n", " <td>5.64</td>\n", " </tr>\n", " <tr>\n", " <th>505</th>\n", " <td>22.0</td>\n", " <td>0.10959</td>\n", " <td>0.0</td>\n", " <td>11.93</td>\n", " <td>0</td>\n", " <td>0.573</td>\n", " <td>6.794</td>\n", " <td>89.3</td>\n", " <td>2.3889</td>\n", " <td>1</td>\n", " <td>273</td>\n", " <td>21.0</td>\n", " <td>393.45</td>\n", " <td>6.48</td>\n", " </tr>\n", " <tr>\n", " <th>506</th>\n", " <td>19.0</td>\n", " <td>0.04741</td>\n", " <td>0.0</td>\n", " <td>11.93</td>\n", " <td>0</td>\n", " <td>0.573</td>\n", " <td>6.030</td>\n", " <td>80.8</td>\n", " <td>2.5050</td>\n", " <td>1</td>\n", " <td>273</td>\n", " <td>21.0</td>\n", " <td>396.90</td>\n", " <td>7.88</td>\n", " </tr>\n", " </tbody>\n", "</table>\n", "<p>506 rows × 14 columns</p>\n", "</div>" ], "text/plain": [ " CMEDV CRIM ZN INDUS CHAS NOX RM AGE DIS RAD TAX \\\n", "OBS. \n", "1 24.0 0.00632 18.0 2.31 0 0.538 6.575 65.2 4.0900 1 296 \n", "2 21.6 0.02731 0.0 7.07 0 0.469 6.421 78.9 4.9671 2 242 \n", "3 34.7 0.02729 0.0 7.07 0 0.469 7.185 61.1 4.9671 2 242 \n", "4 33.4 0.03237 0.0 2.18 0 0.458 6.998 45.8 6.0622 3 222 \n", "5 36.2 0.06905 0.0 2.18 0 0.458 7.147 54.2 6.0622 3 222 \n", "... ... ... ... ... ... ... ... ... ... ... ... \n", "502 22.4 0.06263 0.0 11.93 0 0.573 6.593 69.1 2.4786 1 273 \n", "503 20.6 0.04527 0.0 11.93 0 0.573 6.120 76.7 2.2875 1 273 \n", "504 23.9 0.06076 0.0 11.93 0 0.573 6.976 91.0 2.1675 1 273 \n", "505 22.0 0.10959 0.0 11.93 0 0.573 6.794 89.3 2.3889 1 273 \n", "506 19.0 0.04741 0.0 11.93 0 0.573 6.030 80.8 2.5050 1 273 \n", "\n", " PTRATIO B LSTAT \n", "OBS. \n", "1 15.3 396.90 4.98 \n", "2 17.8 396.90 9.14 \n", "3 17.8 392.83 4.03 \n", "4 18.7 394.63 2.94 \n", "5 18.7 396.90 5.33 \n", "... ... ... ... \n", "502 21.0 391.99 9.67 \n", "503 21.0 396.90 9.08 \n", "504 21.0 396.90 5.64 \n", "505 21.0 393.45 6.48 \n", "506 21.0 396.90 7.88 \n", "\n", "[506 rows x 14 columns]" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "analysis_dataset" ] }, { "cell_type": "code", "execution_count": 7, "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>CMEDV</th>\n", " <th>CRIM</th>\n", " <th>ZN</th>\n", " <th>INDUS</th>\n", " <th>CHAS</th>\n", " <th>NOX</th>\n", " <th>RM</th>\n", " <th>AGE</th>\n", " <th>DIS</th>\n", " <th>RAD</th>\n", " <th>TAX</th>\n", " <th>PTRATIO</th>\n", " <th>B</th>\n", " <th>LSTAT</th>\n", " </tr>\n", " </thead>\n", " <tbody>\n", " <tr>\n", " <th>c.var</th>\n", " <td>0.408</td>\n", " <td>2.380</td>\n", " <td>2.052</td>\n", " <td>0.616</td>\n", " <td>3.672</td>\n", " <td>0.209</td>\n", " <td>0.112</td>\n", " <td>0.410</td>\n", " <td>0.555</td>\n", " <td>0.912</td>\n", " <td>0.413</td>\n", " <td>0.117</td>\n", " <td>0.256</td>\n", " <td>0.564</td>\n", " </tr>\n", " <tr>\n", " <th>count</th>\n", " <td>506.000</td>\n", " <td>506.000</td>\n", " <td>506.000</td>\n", " <td>506.000</td>\n", " <td>506.000</td>\n", " <td>506.000</td>\n", " <td>506.000</td>\n", " <td>506.000</td>\n", " <td>506.000</td>\n", " <td>506.000</td>\n", " <td>506.000</td>\n", " <td>506.000</td>\n", " <td>506.000</td>\n", " <td>506.000</td>\n", " </tr>\n", " <tr>\n", " <th>mean</th>\n", " <td>22.529</td>\n", " <td>3.614</td>\n", " <td>11.364</td>\n", " <td>11.137</td>\n", " <td>0.069</td>\n", " <td>0.555</td>\n", " <td>6.285</td>\n", " <td>68.575</td>\n", " <td>3.795</td>\n", " <td>9.549</td>\n", " <td>408.237</td>\n", " <td>18.456</td>\n", " <td>356.674</td>\n", " <td>12.653</td>\n", " </tr>\n", " <tr>\n", " <th>std</th>\n", " <td>9.182</td>\n", " <td>8.602</td>\n", " <td>23.322</td>\n", " <td>6.860</td>\n", " <td>0.254</td>\n", " <td>0.116</td>\n", " <td>0.703</td>\n", " <td>28.149</td>\n", " <td>2.106</td>\n", " <td>8.707</td>\n", " <td>168.537</td>\n", " <td>2.165</td>\n", " <td>91.295</td>\n", " <td>7.141</td>\n", " </tr>\n", " <tr>\n", " <th>min</th>\n", " <td>5.000</td>\n", " <td>0.006</td>\n", " <td>0.000</td>\n", " <td>0.460</td>\n", " <td>0.000</td>\n", " <td>0.385</td>\n", " <td>3.561</td>\n", " <td>2.900</td>\n", " <td>1.130</td>\n", " <td>1.000</td>\n", " <td>187.000</td>\n", " <td>12.600</td>\n", " <td>0.320</td>\n", " <td>1.730</td>\n", " </tr>\n", " <tr>\n", " <th>25%</th>\n", " <td>17.025</td>\n", " <td>0.082</td>\n", " <td>0.000</td>\n", " <td>5.190</td>\n", " <td>0.000</td>\n", " <td>0.449</td>\n", " <td>5.886</td>\n", " <td>45.025</td>\n", " <td>2.100</td>\n", " <td>4.000</td>\n", " <td>279.000</td>\n", " <td>17.400</td>\n", " <td>375.378</td>\n", " <td>6.950</td>\n", " </tr>\n", " <tr>\n", " <th>50%</th>\n", " <td>21.200</td>\n", " <td>0.257</td>\n", " <td>0.000</td>\n", " <td>9.690</td>\n", " <td>0.000</td>\n", " <td>0.538</td>\n", " <td>6.208</td>\n", " <td>77.500</td>\n", " <td>3.207</td>\n", " <td>5.000</td>\n", " <td>330.000</td>\n", " <td>19.050</td>\n", " <td>391.440</td>\n", " <td>11.360</td>\n", " </tr>\n", " <tr>\n", " <th>75%</th>\n", " <td>25.000</td>\n", " <td>3.677</td>\n", " <td>12.500</td>\n", " <td>18.100</td>\n", " <td>0.000</td>\n", " <td>0.624</td>\n", " <td>6.624</td>\n", " <td>94.075</td>\n", " <td>5.188</td>\n", " <td>24.000</td>\n", " <td>666.000</td>\n", " <td>20.200</td>\n", " <td>396.225</td>\n", " <td>16.955</td>\n", " </tr>\n", " <tr>\n", " <th>max</th>\n", " <td>50.000</td>\n", " <td>88.976</td>\n", " <td>100.000</td>\n", " <td>27.740</td>\n", " <td>1.000</td>\n", " <td>0.871</td>\n", " <td>8.780</td>\n", " <td>100.000</td>\n", " <td>12.126</td>\n", " <td>24.000</td>\n", " <td>711.000</td>\n", " <td>22.000</td>\n", " <td>396.900</td>\n", " <td>37.970</td>\n", " </tr>\n", " </tbody>\n", "</table>\n", "</div>" ], "text/plain": [ " CMEDV CRIM ZN INDUS CHAS NOX RM AGE \\\n", "c.var 0.408 2.380 2.052 0.616 3.672 0.209 0.112 0.410 \n", "count 506.000 506.000 506.000 506.000 506.000 506.000 506.000 506.000 \n", "mean 22.529 3.614 11.364 11.137 0.069 0.555 6.285 68.575 \n", "std 9.182 8.602 23.322 6.860 0.254 0.116 0.703 28.149 \n", "min 5.000 0.006 0.000 0.460 0.000 0.385 3.561 2.900 \n", "25% 17.025 0.082 0.000 5.190 0.000 0.449 5.886 45.025 \n", "50% 21.200 0.257 0.000 9.690 0.000 0.538 6.208 77.500 \n", "75% 25.000 3.677 12.500 18.100 0.000 0.624 6.624 94.075 \n", "max 50.000 88.976 100.000 27.740 1.000 0.871 8.780 100.000 \n", "\n", " DIS RAD TAX PTRATIO B LSTAT \n", "c.var 0.555 0.912 0.413 0.117 0.256 0.564 \n", "count 506.000 506.000 506.000 506.000 506.000 506.000 \n", "mean 3.795 9.549 408.237 18.456 356.674 12.653 \n", "std 2.106 8.707 168.537 2.165 91.295 7.141 \n", "min 1.130 1.000 187.000 12.600 0.320 1.730 \n", "25% 2.100 4.000 279.000 17.400 375.378 6.950 \n", "50% 3.207 5.000 330.000 19.050 391.440 11.360 \n", "75% 5.188 24.000 666.000 20.200 396.225 16.955 \n", "max 12.126 24.000 711.000 22.000 396.900 37.970 " ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "descr_dataset = analysis_dataset.describe()\n", "cvar = (descr_dataset.iloc[2]/descr_dataset.iloc[1]).values.reshape(1,-1)\n", "cvar = pd.DataFrame(cvar, columns=descr_dataset.keys(), index=['c.var'])\n", "pd.concat([cvar,descr_dataset]).round(3)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "> CRIM, ZN, TAX have significantly different mean and median, signifying extreme values (3rd-4th Quartile) which is skewing the mean towards right" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Checking Correlations with our dependent variable CMEDV" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "from scipy import stats" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "rho = stats.spearmanr(analysis_dataset,axis=0)" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "<Figure size 1080x720 with 2 Axes>" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(15, 10))\n", "sns.heatmap(rho.correlation, cmap ='RdYlGn', linewidths = 0.30, annot = True, xticklabels=descr_dataset.keys(), yticklabels=descr_dataset.keys())\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "> .00-.19 “very weak” | .20-.39 “weak” | .40-.59 “moderate” | .60-.79 “strong” | .80-1.0 “very strong”\n", "***\n", " - With CMEDV\n", "- Very Weak - CHAS, B\n", "- Weak - RAD \n", "- Moderate - CRIM, ZN, INDUS, NOX, AGE, DIS, TAX, PTRATIO\n", "- Strong - RM\n", "- Very Strong - LSTAT\n", "***\n", "It is interesting to note the highest correlations of dis with crime, indus, nox and age. Also between indus and nox, as well as those between tax and rad and tax and indus. It makes sense that nitrogen oxide levels as well as tax levels are highest near industrial areas. These are possible sources of multicollinearity, each explaining the same thing as far as how they affect variation in medv.\n", "\n", "Related to medv itself, it is found that average number of rooms has the highest positive correlation, while pupil-teacher ratio and lstat have the highest negative correlations." ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "<Figure size 1440x1440 with 16 Axes>" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, axs = plt.subplots(4,4, figsize=(20, 20))\n", "axs = axs.ravel()\n", "\n", "i = 0\n", "for col in analysis_dataset.keys():\n", " axs[i].hist(analysis_dataset[col])\n", " axs[i].set_title(col)\n", " i = i+1" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "- CRIM, ZN, LSTAT, NOX is right skewed\n", "- PTRATIO, B is left skewed\n", "\n", "The right skewed distribution suggests that a log transformation would be appropriate. The left skewed distribution of ptratio suggests that squaring it could make for a better fit.\n", "\n", "For the purposes of fitting a regression model for the first time, the log transformation will only be applied to medv to determine whether it does indeed provide a better fit." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Multivariate Linear Regression" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [], "source": [ "from sklearn.model_selection import train_test_split\n", "from sklearn.linear_model import LinearRegression\n", "from sklearn.metrics import mean_squared_error, r2_score\n", "import statsmodels.api as sm\n", "from sklearn.preprocessing import StandardScaler" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## With Log Transformation of CMEDV" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " OLS Regression Results \n", "==============================================================================\n", "Dep. Variable: CMEDV R-squared: 0.795\n", "Model: OLS Adj. R-squared: 0.790\n", "Method: Least Squares F-statistic: 147.0\n", "Date: Sun, 01 Aug 2021 Prob (F-statistic): 5.13e-160\n", "Time: 13:09:39 Log-Likelihood: 137.12\n", "No. Observations: 506 AIC: -246.2\n", "Df Residuals: 492 BIC: -187.1\n", "Df Model: 13 \n", "Covariance Type: nonrobust \n", "==============================================================================\n", " coef std err t P>|t| [0.025 0.975]\n", "------------------------------------------------------------------------------\n", "const 3.0346 0.008 364.756 0.000 3.018 3.051\n", "CRIM -0.0873 0.011 -7.836 0.000 -0.109 -0.065\n", "ZN 0.0289 0.013 2.290 0.022 0.004 0.054\n", "INDUS 0.0177 0.017 1.062 0.289 -0.015 0.050\n", "CHAS 0.0256 0.009 2.970 0.003 0.009 0.043\n", "NOX -0.0899 0.017 -5.155 0.000 -0.124 -0.056\n", "RM 0.0627 0.012 5.420 0.000 0.040 0.085\n", "AGE 0.0059 0.015 0.400 0.690 -0.023 0.035\n", "DIS -0.1062 0.017 -6.421 0.000 -0.139 -0.074\n", "RAD 0.1219 0.023 5.357 0.000 0.077 0.167\n", "TAX -0.1078 0.025 -4.316 0.000 -0.157 -0.059\n", "PTRATIO -0.0795 0.011 -7.128 0.000 -0.101 -0.058\n", "B 0.0375 0.010 3.886 0.000 0.019 0.057\n", "LSTAT -0.2098 0.014 -14.705 0.000 -0.238 -0.182\n", "==============================================================================\n", "Omnibus: 67.338 Durbin-Watson: 1.111\n", "Prob(Omnibus): 0.000 Jarque-Bera (JB): 243.928\n", "Skew: 0.559 Prob(JB): 1.08e-53\n", "Kurtosis: 6.212 Cond. No. 9.82\n", "==============================================================================\n", "\n", "Warnings:\n", "[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n" ] } ], "source": [ "sc = StandardScaler()\n", "X = analysis_dataset.iloc[:, 1:]\n", "X = pd.DataFrame(sc.fit_transform(X), columns=X.keys(), index=X.index)\n", "X = sm.add_constant(X)\n", "Y = analysis_dataset[['CMEDV']]\n", "\n", "linear_model = sm.OLS(np.log(Y), X).fit()\n", "dir(linear_model)\n", "print(linear_model.summary())" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Without Log Transformation of CMEDV" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " OLS Regression Results \n", "==============================================================================\n", "Dep. Variable: CMEDV R-squared: 0.744\n", "Model: OLS Adj. R-squared: 0.738\n", "Method: Least Squares F-statistic: 110.2\n", "Date: Sun, 01 Aug 2021 Prob (F-statistic): 1.83e-136\n", "Time: 13:09:39 Log-Likelihood: -1494.2\n", "No. Observations: 506 AIC: 3016.\n", "Df Residuals: 492 BIC: 3076.\n", "Df Model: 13 \n", "Covariance Type: nonrobust \n", "==============================================================================\n", " coef std err t P>|t| [0.025 0.975]\n", "------------------------------------------------------------------------------\n", "const 22.5289 0.209 107.762 0.000 22.118 22.940\n", "CRIM -0.9126 0.280 -3.261 0.001 -1.462 -0.363\n", "ZN 1.1119 0.317 3.508 0.000 0.489 1.735\n", "INDUS 0.1594 0.418 0.382 0.703 -0.661 0.980\n", "CHAS 0.6830 0.217 3.152 0.002 0.257 1.109\n", "NOX -2.0539 0.438 -4.687 0.000 -2.915 -1.193\n", "RM 2.6599 0.291 9.149 0.000 2.089 3.231\n", "AGE 0.0162 0.368 0.044 0.965 -0.707 0.739\n", "DIS -3.1592 0.416 -7.598 0.000 -3.976 -2.342\n", "RAD 2.6423 0.572 4.620 0.000 1.519 3.766\n", "TAX -2.1391 0.627 -3.409 0.001 -3.372 -0.906\n", "PTRATIO -1.9982 0.280 -7.126 0.000 -2.549 -1.447\n", "B 0.8417 0.243 3.467 0.001 0.365 1.319\n", "LSTAT -3.7857 0.359 -10.558 0.000 -4.490 -3.081\n", "==============================================================================\n", "Omnibus: 185.097 Durbin-Watson: 1.087\n", "Prob(Omnibus): 0.000 Jarque-Bera (JB): 842.380\n", "Skew: 1.576 Prob(JB): 1.20e-183\n", "Kurtosis: 8.479 Cond. No. 9.82\n", "==============================================================================\n", "\n", "Warnings:\n", "[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n" ] } ], "source": [ "linear_model = sm.OLS(Y, X).fit()\n", "print(linear_model.summary())" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "> Thus, the log transformation of medv is indeed appropriate. Now, the predictors that are not statistically significant can be removed from the model. These are indus, age, and zn. Moreover, for the purpose of this report, the variables tax and rad are not of interest, since they are highly correlated with proximity to industries which itself is not significant." ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "const 1.000\n", "CRIM 1.792\n", "ZN 2.299\n", "INDUS 3.992\n", "CHAS 1.074\n", "NOX 4.394\n", "RM 1.934\n", "AGE 3.101\n", "DIS 3.956\n", "RAD 7.484\n", "TAX 9.009\n", "PTRATIO 1.799\n", "B 1.349\n", "LSTAT 2.941\n", "dtype: float64\n" ] } ], "source": [ "from statsmodels.stats.outliers_influence import variance_inflation_factor\n", "\n", "vif = [variance_inflation_factor(X.values, i).round(3) for i in range(X.values.shape[1])]\n", "vif = pd.Series(vif, index=X.keys())\n", "print(vif)\n" ] }, { "cell_type": "raw", "metadata": {}, "source": [ "As all values are less than 5 except TAX & RAD, there are no issues of multicollinearity." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Feature Selection" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Index(['CMEDV', 'CRIM', 'ZN', 'INDUS', 'CHAS', 'NOX', 'RM', 'AGE', 'DIS',\n", " 'RAD', 'TAX', 'PTRATIO', 'B', 'LSTAT'],\n", " dtype='object')" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" } ], "source": [ "analysis_dataset.columns" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [], "source": [ "selected_dataset = analysis_dataset[['CMEDV', 'CRIM', 'CHAS', 'NOX', 'RM', 'DIS', 'PTRATIO', 'B', 'LSTAT']]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Checking Normality for selected variables" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [], "source": [ "from statsmodels.graphics.gofplots import qqplot" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "<Figure size 1080x1080 with 9 Axes>" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, axs = plt.subplots(3,3, figsize=(15, 15))\n", "axs = axs.ravel()\n", "\n", "i = 0\n", "for col in selected_dataset.keys():\n", " x = analysis_dataset[col]\n", " qqplot(x,ax=axs[i], line='q')\n", " axs[i].set_title(col)\n", " i += 1" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "- CRIM, NOX, DIS, LSTAT are right skewed (log transformation)\n", "- LSTAT, B, PTRATIO are left skewed (square transformation)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Feature Transformation\n" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Index(['CMEDV', 'CRIM', 'CHAS', 'NOX', 'RM', 'DIS', 'PTRATIO', 'B', 'LSTAT'], dtype='object')" ] }, "execution_count": 20, "metadata": {}, "output_type": "execute_result" } ], "source": [ "selected_dataset.columns" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [], "source": [ "transformed_dataset = selected_dataset.copy()\n", "transformed_dataset[['CMEDV']] = np.log(transformed_dataset[['CMEDV']])\n", "transformed_dataset[['CRIM']] = np.log(transformed_dataset[['CRIM']])\n", "transformed_dataset[['NOX']] = np.log(transformed_dataset[['NOX']])\n", "transformed_dataset[['DIS']] = np.log(transformed_dataset[['DIS']])\n", "transformed_dataset[['LSTAT']] = np.log(transformed_dataset[['LSTAT']])\n", "\n", "transformed_dataset[['LSTAT']] = np.square(transformed_dataset[['LSTAT']])\n", "transformed_dataset[['PTRATIO']] = np.square(transformed_dataset[['PTRATIO']])\n", "transformed_dataset[['B']] = np.square(transformed_dataset[['B']])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Checking Normality for transformed variables" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "<Figure size 1080x1080 with 9 Axes>" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, axs = plt.subplots(3,3, figsize=(15, 15))\n", "axs = axs.ravel()\n", "\n", "i = 0\n", "for col in transformed_dataset.columns:\n", " x = transformed_dataset[col]\n", " qqplot(x,ax=axs[i], line='q')\n", " axs[i].set_title(col)\n", " i += 1" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Removing Outliers and high influence points" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "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": [ "X = transformed_dataset.iloc[:, 1:]\n", "X = pd.DataFrame(sc.fit_transform(X), columns=X.keys(), index=X.index)\n", "X = sm.add_constant(X)\n", "Y = transformed_dataset[['CMEDV']]\n", "\n", "linear_model = sm.OLS(Y, X).fit()\n", "influence = linear_model.get_influence()\n", "inf_sum = influence.summary_frame()\n", "leverage = influence.hat_matrix_diag\n", "\n", "sns.regplot(leverage, linear_model.resid_pearson, fit_reg=False)\n", "plt.title('Leverage vs. Studentized Residuals')\n", "plt.xlabel('Leverage')\n", "plt.ylabel('Studentized Residuals')\n", "plt.show()\n", "\n", "#Concat MEDV and the resulting residual table\n", "#Note that hat_diag is leverage so change the column heading from hat_diag to leverage\n", "from statsmodels.formula.api import ols\n", "\n", "MEDVres = pd.concat([Y, inf_sum], axis = 1)\n", "MEDVres=MEDVres.rename(columns={'hat_diag': 'leverage'})" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Int64Index([215, 343, 365, 366, 368, 369, 372, 373, 375, 381, 386, 392, 398,\n", " 399, 400, 401, 402, 404, 406, 408, 410, 413, 417, 420, 490],\n", " dtype='int64', name='OBS.')\n" ] } ], "source": [ "#Print all MEDV values where the studentized residuals exceed 2\n", "r = MEDVres.student_resid\n", "print (MEDVres.CMEDV[abs(r) > 2].index)" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Int64Index([ 9, 103, 143, 145, 146, 147, 148, 149, 152, 153, 154, 155, 156,\n", " 157, 160, 161, 163, 164, 210, 211, 212, 213, 217, 219, 222, 258,\n", " 263, 270, 274, 275, 283, 284, 357, 358, 359, 364, 365, 366, 368,\n", " 369, 370, 371, 373, 375, 407, 411, 412, 413],\n", " dtype='int64', name='OBS.')\n" ] } ], "source": [ "#point with leverage = (2k+2)/n\n", "l = MEDVres.leverage\n", "print(MEDVres.CMEDV[abs(l) > (2*8+2)/506].index)" ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Int64Index([365, 366, 368, 369, 373, 375, 413], dtype='int64', name='OBS.')\n" ] } ], "source": [ "#large residual and large leverage = INFLUENTIAL\n", "#Print values that are both outliers and influential\n", "outlier=pd.DataFrame((MEDVres.CMEDV[abs(r) > 2]))\n", "lev= pd.DataFrame((MEDVres.CMEDV[abs(l) > (2*8+2)/506]))\n", "\n", "#Influential1=pd.merge(outlier,lev, left_index=True, right_index=True, how='outer')\n", "#print(Influential1)\n", "\n", "influential=pd.merge(outlier,lev, left_index=True, right_index=True)\n", "print(influential.index)" ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "<Figure size 432x288 with 1 Axes>" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "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": [ "#Plot influential observations\n", "#Use residual squared to restrict the graph but preserve the relative position of observations\n", "\n", "from statsmodels.graphics.regressionplots import *\n", "plot_leverage_resid2(linear_model)\n", "plt.show()\n", "\n", "influence_plot(linear_model)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Int64Index([ 1, 9, 142, 149, 153, 156, 161, 210, 215, 254, 263, 268, 343,\n", " 365, 366, 367, 368, 369, 370, 371, 372, 373, 375, 376, 380, 381,\n", " 386, 398, 399, 400, 401, 402, 404, 406, 408, 410, 411, 413, 416,\n", " 417, 419, 420, 427, 428, 437, 467, 490, 491],\n", " dtype='int64', name='OBS.')" ] }, "execution_count": 28, "metadata": {}, "output_type": "execute_result" } ], "source": [ "import math\n", "#GENERAL MEASURE OF INFLUENCE\n", "#Identify influential observations with DFFITS\n", "#conventional cut-off point for DFITS is 2*sqrt(k/n)\n", "lev2 = MEDVres.dffits[abs(MEDVres.dffits) > 2 * math.sqrt(8 / 506)]\n", "lev2.index" ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Int64Index([ 9, 149, 153, 161, 215, 268, 365, 366, 368, 369, 370, 372, 373,\n", " 375, 376, 381, 386, 399, 400, 401, 402, 404, 406, 408, 410, 413,\n", " 416, 417, 420, 427, 467, 490, 491],\n", " dtype='int64', name='OBS.')" ] }, "execution_count": 29, "metadata": {}, "output_type": "execute_result" } ], "source": [ "#Cook's D of more than 3 times the mean is a possible outlier\n", "#MEDVres.loc[:,\"cooks_d\"].mean()\n", "cutoff=(MEDVres.loc[:,\"cooks_d\"].mean())*3\n", "outlier2=pd.DataFrame((MEDVres.CMEDV[abs(MEDVres.cooks_d) > cutoff]))\n", "outlier2.index" ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Int64Index([ 9, 149, 153, 161, 215, 268, 365, 366, 368, 369, 370, 372, 373,\n", " 375, 376, 381, 386, 399, 400, 401, 402, 404, 406, 408, 410, 413,\n", " 416, 417, 420, 427, 467, 490, 491],\n", " dtype='int64', name='OBS.')\n" ] } ], "source": [ "influential2=pd.merge(outlier2,lev2, left_index=True, right_index=True)\n", "print(influential2.index)" ] }, { "cell_type": "code", "execution_count": 31, "metadata": {}, "outputs": [ { "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": [ "\n", "#Visulize influential observaions\n", "#dfbetas above 2/sqrt(n) is suspect\n", "\n", "plt.scatter(MEDVres.CMEDV, MEDVres.dfb_CRIM, color = \"red\", marker = \"o\")\n", "plt.scatter(MEDVres.CMEDV, MEDVres.dfb_CHAS, color = \"green\", marker = \"o\")\n", "plt.scatter(MEDVres.CMEDV, MEDVres.dfb_NOX, color = \"blue\", marker = \"o\")\n", "plt.scatter(MEDVres.CMEDV, MEDVres.dfb_RM, color = \"black\", marker = \"o\")\n", "\n", "plt.scatter(MEDVres.CMEDV, MEDVres.dfb_DIS, color = \"red\", marker = \"x\")\n", "plt.scatter(MEDVres.CMEDV, MEDVres.dfb_PTRATIO, color = \"green\", marker = \"x\")\n", "plt.scatter(MEDVres.CMEDV, MEDVres.dfb_B, color = \"blue\", marker = \"x\")\n", "plt.scatter(MEDVres.CMEDV, MEDVres.dfb_LSTAT, color = \"black\", marker = \"x\")\n", "\n", "plt.plot((1.5, 4), (0.295, 0.295), '-.r*')\n", "plt.plot((1.5, 4), (-0.295, -0.295), '-.r*')\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 32, "metadata": {}, "outputs": [], "source": [ "#Remove influential observations and rerun regression\n", "final_dataset=transformed_dataset.drop([9, 149, 153, 161, 215, 268, 365, 366, 368, 369, 370,\n", " 372, 373, 375, 376, 381, 386, 399, 400, 401, 402, 404,\n", " 406, 408, 410, 413, 416, 417, 420, 427, 467, 490, 491])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Creating test, train splits" ] }, { "cell_type": "code", "execution_count": 33, "metadata": {}, "outputs": [], "source": [ "X = final_dataset.iloc[:, 1:]\n", "X = pd.DataFrame(sc.fit_transform(X), columns=X.keys(), index=X.index)\n", "X = sm.add_constant(X)\n", "Y = final_dataset[['CMEDV']]\n", "X_train, X_test, Y_train, Y_test = train_test_split(X, Y, test_size=0.10, random_state=5)\n", "\n", "X_train = sc.fit_transform(X_train)\n", "X_test = sc.transform(X_test)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Predicting Linear Regression" ] }, { "cell_type": "code", "execution_count": 34, "metadata": {}, "outputs": [], "source": [ "from sklearn import metrics\n", "from sklearn.model_selection import cross_val_score\n", "from sklearn.linear_model import LinearRegression" ] }, { "cell_type": "code", "execution_count": 35, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "--------------------------------\n", " Model Summary\n", "--------------------------------\n", "r²: 0.843, SD: 0.028\n" ] } ], "source": [ "scores = cross_val_score(LinearRegression(), X_train, Y_train, cv=10)\n", "print('--------------------------------')\n", "print(' Model Summary')\n", "print('--------------------------------')\n", "print(f'r\\u00b2: {scores.mean():.3f}, SD: {scores.std():.3f}')" ] }, { "cell_type": "code", "execution_count": 36, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Prediction on Training Set\n", "r²: 0.852\n", "Adjusted R²: 0.849\n", "RMSE: 0.142\n", "\n", "Prediction on Testing Set\n", "r²: 0.865\n", "Adjusted R²: 0.833\n", "RMSE: 0.119\n" ] } ], "source": [ "linear_model = LinearRegression().fit(X_train, Y_train)\n", "Y_train_pred = linear_model.predict(X_train)\n", "Y_test_pred = linear_model.predict(X_test)\n", "\n", "r2_score = metrics.explained_variance_score(Y_train, Y_train_pred)\n", "r2_adjusted = (1 - (1-r2_score)*(len(Y_train_pred)-1)/(len(Y_train_pred)-X_train.shape[1]-1))\n", "rmse = np.sqrt(metrics.mean_squared_error(Y_train, Y_train_pred))\n", "\n", "print('Prediction on Training Set')\n", "print(f'r\\u00b2: {r2_score:.3f}')\n", "print(f'Adjusted R\\u00b2: {r2_adjusted:.3f}')\n", "print(f'RMSE: {rmse:.3f}')\n", "\n", "r2_score = metrics.explained_variance_score(Y_test, Y_test_pred)\n", "r2_adjusted = (1 - (1-r2_score)*(len(Y_test_pred)-1)/(len(Y_test_pred)-X_test.shape[1]-1))\n", "rmse = np.sqrt(metrics.mean_squared_error(Y_test, Y_test_pred))\n", "\n", "print('\\nPrediction on Testing Set')\n", "print(f'r\\u00b2: {r2_score:.3f}')\n", "print(f'Adjusted R\\u00b2: {r2_adjusted:.3f}')\n", "print(f'RMSE: {rmse:.3f}')" ] }, { "cell_type": "code", "execution_count": 37, "metadata": {}, "outputs": [ { "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": [ "# Visualizing the differences between actual prices and predicted values\n", "plt.scatter(Y_test, Y_test_pred)\n", "plt.xlabel(\"CMEDV\")\n", "plt.ylabel(\"Predicted CMEDV\")\n", "plt.title(\"CMEDV vs Predicted CMEDV\")\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 38, "metadata": {}, "outputs": [ { "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": [ "# Checking residuals\n", "plt.scatter(Y_test_pred,Y_test.values-Y_test_pred)\n", "plt.title(\"Predicted vs residuals\")\n", "plt.xlabel(\"Predicted \")\n", "plt.ylabel(\"Residuals\")\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 39, "metadata": {}, "outputs": [ { "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": [ "# Checking Normality of errors\n", "sns.distplot(Y_train-Y_train_pred)\n", "plt.title(\"Histogram of Residuals\")\n", "plt.xlabel(\"Residuals\")\n", "plt.ylabel(\"Frequency\")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Support Vector Machine" ] }, { "cell_type": "code", "execution_count": 40, "metadata": {}, "outputs": [], "source": [ "#Train the model\n", "#Import SVM Regressor\n", "from sklearn import svm\n", "import sklearn.metrics as metrics\n", "# Create a SVM Regressor\n", "reg = svm.SVR(kernel='rbf')" ] }, { "cell_type": "code", "execution_count": 41, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "--------------------------------\n", " Model Summary\n", "--------------------------------\n", "r²: 0.883, SD: 0.024\n" ] } ], "source": [ "scores = cross_val_score(reg, X_train, Y_train.values.ravel(), cv=10)\n", "print('--------------------------------')\n", "print(' Model Summary')\n", "print('--------------------------------')\n", "print(f'r\\u00b2: {scores.mean():.3f}, SD: {scores.std():.3f}')" ] }, { "cell_type": "code", "execution_count": 42, "metadata": {}, "outputs": [], "source": [ "res = reg.fit(X_train, Y_train.values.ravel())\n", "Y_train_pred = reg.predict(X_train)\n", "Y_test_pred = reg.predict(X_test)" ] }, { "cell_type": "code", "execution_count": 43, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Prediction on Training Set\n", "r²: 0.929\n", "Adjusted R²: 0.927\n", "RMSE: 0.09846460946809697\n", "\n", "Prediction on Testing Set\n", "r²: 0.886\n", "Adjusted R²: 0.859\n", "RMSE: 0.11062229180212317\n" ] } ], "source": [ "#Model Evaluation\n", "r2_score = metrics.explained_variance_score(Y_train, Y_train_pred)\n", "r2_adjusted = (1 - (1-r2_score)*(len(Y_train_pred)-1)/(len(Y_train_pred)-X_train.shape[1]-1))\n", "\n", "print('Prediction on Training Set')\n", "print(f'r\\u00b2: {r2_score:.3f}')\n", "print(f'Adjusted R\\u00b2: {r2_adjusted:.3f}')\n", "print('RMSE:',np.sqrt(metrics.mean_squared_error(Y_train, Y_train_pred)))\n", "\n", "r2_score = metrics.explained_variance_score(Y_test, Y_test_pred)\n", "r2_adjusted = (1 - (1-r2_score)*(len(Y_test_pred)-1)/(len(Y_test_pred)-X_test.shape[1]-1))\n", "\n", "print('\\nPrediction on Testing Set')\n", "print(f'r\\u00b2: {r2_score:.3f}')\n", "print(f'Adjusted R\\u00b2: {r2_adjusted:.3f}')\n", "print('RMSE:',np.sqrt(metrics.mean_squared_error(Y_test, Y_test_pred)))" ] }, { "cell_type": "code", "execution_count": 44, "metadata": {}, "outputs": [ { "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": [ "# Visualizing the differences between actual prices and predicted values\n", "plt.scatter(Y_test, Y_test_pred)\n", "plt.xlabel(\"CMEDV\")\n", "plt.ylabel(\"Predicted CMEDV\")\n", "plt.title(\"CMEDV vs Predicted CMEDV\")\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 45, "metadata": {}, "outputs": [ { "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": [ "# Checking residuals\n", "plt.scatter(Y_test_pred,Y_test.values.ravel()-Y_test_pred)\n", "plt.title(\"Predicted vs residuals\")\n", "plt.xlabel(\"Predicted \")\n", "plt.ylabel(\"Residuals\")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Random forest" ] }, { "cell_type": "code", "execution_count": 46, "metadata": {}, "outputs": [], "source": [ "# Import Random Forest Regressor\n", "from sklearn.ensemble import RandomForestRegressor\n", "\n", "# Create a Random Forest Regressor\n", "reg = RandomForestRegressor()" ] }, { "cell_type": "code", "execution_count": 47, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "--------------------------------\n", " Model Summary\n", "--------------------------------\n", "r²: 0.888, SD: 0.028\n" ] } ], "source": [ "scores = cross_val_score(reg, X_train, Y_train.values.ravel(), cv=10)\n", "print('--------------------------------')\n", "print(' Model Summary')\n", "print('--------------------------------')\n", "print(f'r\\u00b2: {scores.mean():.3f}, SD: {scores.std():.3f}')" ] }, { "cell_type": "code", "execution_count": 48, "metadata": {}, "outputs": [], "source": [ "res = reg.fit(X_train, Y_train.values.ravel())\n", "Y_train_pred = reg.predict(X_train)\n", "Y_test_pred = reg.predict(X_test)" ] }, { "cell_type": "code", "execution_count": 49, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Prediction on Training Set\n", "r²: 0.984\n", "Adjusted R²: 0.983\n", "RMSE: 0.04693176357944902\n", "\n", "Prediction on Testing Set\n", "r²: 0.936\n", "Adjusted R²: 0.921\n", "RMSE: 0.08244168563950352\n" ] } ], "source": [ "#Model Evaluation\n", "r2_score = metrics.explained_variance_score(Y_train, Y_train_pred)\n", "r2_adjusted = (1 - (1-r2_score)*(len(Y_train_pred)-1)/(len(Y_train_pred)-X_train.shape[1]-1))\n", "\n", "print('Prediction on Training Set')\n", "print(f'r\\u00b2: {r2_score:.3f}')\n", "print(f'Adjusted R\\u00b2: {r2_adjusted:.3f}')\n", "print('RMSE:',np.sqrt(metrics.mean_squared_error(Y_train, Y_train_pred)))\n", "\n", "r2_score = metrics.explained_variance_score(Y_test, Y_test_pred)\n", "r2_adjusted = (1 - (1-r2_score)*(len(Y_test_pred)-1)/(len(Y_test_pred)-X_test.shape[1]-1))\n", "\n", "print('\\nPrediction on Testing Set')\n", "print(f'r\\u00b2: {r2_score:.3f}')\n", "print(f'Adjusted R\\u00b2: {r2_adjusted:.3f}')\n", "print('RMSE:',np.sqrt(metrics.mean_squared_error(Y_test, Y_test_pred)))" ] }, { "cell_type": "code", "execution_count": 50, "metadata": {}, "outputs": [ { "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": [ "# Visualizing the differences between actual prices and predicted values\n", "plt.scatter(Y_test, Y_test_pred)\n", "plt.xlabel(\"CMEDV\")\n", "plt.ylabel(\"Predicted CMEDV\")\n", "plt.title(\"CMEDV vs Predicted CMEDV\")\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 51, "metadata": {}, "outputs": [ { "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": [ "# Checking residuals\n", "plt.scatter(Y_test_pred,Y_test.values.ravel()-Y_test_pred)\n", "plt.title(\"Predicted vs residuals\")\n", "plt.xlabel(\"Predicted \")\n", "plt.ylabel(\"Residuals\")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# XGBOOST" ] }, { "cell_type": "code", "execution_count": 52, "metadata": {}, "outputs": [], "source": [ "from xgboost import XGBRegressor\n", "reg = XGBRegressor()" ] }, { "cell_type": "code", "execution_count": 53, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "--------------------------------\n", " Model Summary\n", "--------------------------------\n", "r²: 0.875, SD: 0.031\n" ] } ], "source": [ "scores = cross_val_score(reg, X_train, Y_train.values.ravel(), cv=10)\n", "print('--------------------------------')\n", "print(' Model Summary')\n", "print('--------------------------------')\n", "print(f'r\\u00b2: {scores.mean():.3f}, SD: {scores.std():.3f}')" ] }, { "cell_type": "code", "execution_count": 54, "metadata": {}, "outputs": [], "source": [ "res = reg.fit(X_train, Y_train.values.ravel())\n", "Y_train_pred = reg.predict(X_train)\n", "Y_test_pred = reg.predict(X_test)" ] }, { "cell_type": "code", "execution_count": 55, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Prediction on Training Set\n", "r²: 1.000\n", "Adjusted R²: 1.000\n", "RMSE: 0.001655146681178881\n", "\n", "Prediction on Testing Set\n", "r²: 0.881\n", "Adjusted R²: 0.853\n", "RMSE: 0.11228486999763117\n" ] } ], "source": [ "#Model Evaluation\n", "r2_score = metrics.explained_variance_score(Y_train, Y_train_pred)\n", "r2_adjusted = (1 - (1-r2_score)*(len(Y_train_pred)-1)/(len(Y_train_pred)-X_train.shape[1]-1))\n", "\n", "print('Prediction on Training Set')\n", "print(f'r\\u00b2: {r2_score:.3f}')\n", "print(f'Adjusted R\\u00b2: {r2_adjusted:.3f}')\n", "print('RMSE:',np.sqrt(metrics.mean_squared_error(Y_train, Y_train_pred)))\n", "\n", "r2_score = metrics.explained_variance_score(Y_test, Y_test_pred)\n", "r2_adjusted = (1 - (1-r2_score)*(len(Y_test_pred)-1)/(len(Y_test_pred)-X_test.shape[1]-1))\n", "\n", "print('\\nPrediction on Testing Set')\n", "print(f'r\\u00b2: {r2_score:.3f}')\n", "print(f'Adjusted R\\u00b2: {r2_adjusted:.3f}')\n", "print('RMSE:',np.sqrt(metrics.mean_squared_error(Y_test, Y_test_pred)))" ] }, { "cell_type": "code", "execution_count": 56, "metadata": {}, "outputs": [ { "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": [ "# Visualizing the differences between actual prices and predicted values\n", "plt.scatter(Y_test, Y_test_pred)\n", "plt.xlabel(\"CMEDV\")\n", "plt.ylabel(\"Predicted CMEDV\")\n", "plt.title(\"CMEDV vs Predicted CMEDV\")\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 57, "metadata": {}, "outputs": [ { "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": [ "# Checking residuals\n", "plt.scatter(Y_test_pred,Y_test.values.ravel()-Y_test_pred)\n", "plt.title(\"Predicted vs residuals\")\n", "plt.xlabel(\"Predicted \")\n", "plt.ylabel(\"Residuals\")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# THANKYOU" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.8.8" } }, "nbformat": 4, "nbformat_minor": 4 }