diff --git a/Correlation/Corr_Pvalue_VIF_all_and_final_10_variables.ipynb b/Correlation/Corr_Pvalue_VIF_all_and_final_10_variables.ipynb
new file mode 100644
index 0000000000000000000000000000000000000000..4bad2b92815558cecb2e2c92d9e436ae0c60619b
--- /dev/null
+++ b/Correlation/Corr_Pvalue_VIF_all_and_final_10_variables.ipynb
@@ -0,0 +1,2625 @@
+{
+ "cells": [
+  {
+   "cell_type": "code",
+   "execution_count": 6,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "import pandas as pd \n",
+    "import numpy as np \n",
+    "import matplotlib.pyplot as plt\n",
+    "\n",
+    "# Display more columns\n",
+    "pd.set_option('display.max_columns', 68)\n",
+    "#pd.set_option('display.max_rows', 101)"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "Put the \"final_data.csv\" for analysis"
+   ]
+  },
+  {
+   "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>Anzahl der Einwohner: innen</th>\n",
+       "      <th>Anzahl der Kinder und Jugendlichen unter 18 Jahren</th>\n",
+       "      <th>Anteil Kinder und Jugendlicher unter 18 Jahren an der Gesamt-bevölkerung</th>\n",
+       "      <th>Anzahl älterer Einwohner: innen über 64 Jahren</th>\n",
+       "      <th>Anteil älterer Einwohner: innen über 64 Jahren an der Gesamt-bevölkerung</th>\n",
+       "      <th>Anzahl der Haushalte</th>\n",
+       "      <th>Durch-schnittliche Anzahl der Personen je Haushalt</th>\n",
+       "      <th>Fläche in km²</th>\n",
+       "      <th>Einwohner: innen je km²</th>\n",
+       "      <th>Sozial-versicherungs-pflichtig Beschäftigte am Wohnort</th>\n",
+       "      <th>Anteil sozial-versicherungs-pflichtig Beschäftigter am Wohnort an den Erwerbs-fähigen (15 bis unter 65-Jährige)</th>\n",
+       "      <th>Anzahl der Arbeitslosen</th>\n",
+       "      <th>Anzahl der Wohngebäude</th>\n",
+       "      <th>Anzahl der Wohnungen</th>\n",
+       "      <th>Durch-schnittliche Wohnungs-größe in m²</th>\n",
+       "      <th>Durch-schnittliche Wohnfläche je Einwohner:in in m²</th>\n",
+       "      <th>Anzahl der Sozial-wohnungen</th>\n",
+       "      <th>Anteil der Sozial-wohnungen an allen Wohnungen</th>\n",
+       "      <th>Durch-schnittlicher Immobilien-preis für ein Grundstück in EUR/m²</th>\n",
+       "      <th>Durch-schnittlicher Immobilien-preis für eine Eigentums-wohnung in EUR/m²</th>\n",
+       "      <th>Anzahl der Wohnungen in Ein- und Zweifamilien-häusern</th>\n",
+       "      <th>Anteil der Wohnungen in Ein- und Zweifamilien-häusern an allen Wohnungen</th>\n",
+       "      <th>Anzahl der Einpersonen-haushalte</th>\n",
+       "      <th>Anteil der Haushalte, in denen nur eine Person lebt, an allen Haushalten</th>\n",
+       "      <th>Gesamtbetrag der Einkünfte - [Steuerpflichtig]</th>\n",
+       "      <th>Gesamtbetrag der Einkünfte - [1000€]</th>\n",
+       "      <th>Festgesetzte Einkommenssteuer/ Jahreslohnsteuer - [1000€]</th>\n",
+       "      <th>Gesamtbetrag Einkünfte Mittelwert - [€]</th>\n",
+       "      <th>Gesamtbetrag Einkünfte Median - [€]</th>\n",
+       "      <th>market_count</th>\n",
+       "      <th>farms_count</th>\n",
+       "      <th>greencrocers_count</th>\n",
+       "      <th>supermarkets_count</th>\n",
+       "      <th>biosupermarkets_count</th>\n",
+       "      <th>all_restaurants_count</th>\n",
+       "      <th>organic_restaurants_count</th>\n",
+       "      <th>vegan_restaurants_count</th>\n",
+       "      <th>art_score</th>\n",
+       "      <th>distance_rathaus</th>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>stadtteil</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",
+       "      <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>Hamburg-Altstadt</th>\n",
+       "      <td>3182.0</td>\n",
+       "      <td>515.0</td>\n",
+       "      <td>16.2</td>\n",
+       "      <td>316.0</td>\n",
+       "      <td>9.9</td>\n",
+       "      <td>1884.0</td>\n",
+       "      <td>1.7</td>\n",
+       "      <td>1.3</td>\n",
+       "      <td>2447.0</td>\n",
+       "      <td>1346.0</td>\n",
+       "      <td>55.6</td>\n",
+       "      <td>324.0</td>\n",
+       "      <td>103.0</td>\n",
+       "      <td>1487.0</td>\n",
+       "      <td>74.1</td>\n",
+       "      <td>34.6</td>\n",
+       "      <td>176.0</td>\n",
+       "      <td>11.8</td>\n",
+       "      <td>2366.0</td>\n",
+       "      <td>4869.0</td>\n",
+       "      <td>17.0</td>\n",
+       "      <td>1.1</td>\n",
+       "      <td>1057.0</td>\n",
+       "      <td>56.1</td>\n",
+       "      <td>1952.0</td>\n",
+       "      <td>61168.0</td>\n",
+       "      <td>11577.0</td>\n",
+       "      <td>31336.0</td>\n",
+       "      <td>10811.0</td>\n",
+       "      <td>2</td>\n",
+       "      <td>0</td>\n",
+       "      <td>1</td>\n",
+       "      <td>4</td>\n",
+       "      <td>0</td>\n",
+       "      <td>129</td>\n",
+       "      <td>0</td>\n",
+       "      <td>4</td>\n",
+       "      <td>2.565476</td>\n",
+       "      <td>0.000000</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>HafenCity</th>\n",
+       "      <td>6950.0</td>\n",
+       "      <td>1386.0</td>\n",
+       "      <td>19.9</td>\n",
+       "      <td>644.0</td>\n",
+       "      <td>9.3</td>\n",
+       "      <td>3183.0</td>\n",
+       "      <td>2.2</td>\n",
+       "      <td>2.4</td>\n",
+       "      <td>2865.0</td>\n",
+       "      <td>3087.0</td>\n",
+       "      <td>61.6</td>\n",
+       "      <td>147.0</td>\n",
+       "      <td>141.0</td>\n",
+       "      <td>3898.0</td>\n",
+       "      <td>81.4</td>\n",
+       "      <td>45.7</td>\n",
+       "      <td>1074.0</td>\n",
+       "      <td>27.6</td>\n",
+       "      <td>3031.0</td>\n",
+       "      <td>10746.0</td>\n",
+       "      <td>5.0</td>\n",
+       "      <td>0.1</td>\n",
+       "      <td>1126.0</td>\n",
+       "      <td>35.4</td>\n",
+       "      <td>1255.0</td>\n",
+       "      <td>116973.0</td>\n",
+       "      <td>34051.0</td>\n",
+       "      <td>93206.0</td>\n",
+       "      <td>57913.0</td>\n",
+       "      <td>1</td>\n",
+       "      <td>0</td>\n",
+       "      <td>0</td>\n",
+       "      <td>6</td>\n",
+       "      <td>1</td>\n",
+       "      <td>56</td>\n",
+       "      <td>3</td>\n",
+       "      <td>1</td>\n",
+       "      <td>1.952381</td>\n",
+       "      <td>0.005758</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>Neustadt</th>\n",
+       "      <td>12649.0</td>\n",
+       "      <td>1412.0</td>\n",
+       "      <td>11.2</td>\n",
+       "      <td>1919.0</td>\n",
+       "      <td>15.2</td>\n",
+       "      <td>8683.0</td>\n",
+       "      <td>1.5</td>\n",
+       "      <td>2.3</td>\n",
+       "      <td>5592.0</td>\n",
+       "      <td>6350.0</td>\n",
+       "      <td>66.9</td>\n",
+       "      <td>493.0</td>\n",
+       "      <td>652.0</td>\n",
+       "      <td>7700.0</td>\n",
+       "      <td>63.1</td>\n",
+       "      <td>38.4</td>\n",
+       "      <td>992.0</td>\n",
+       "      <td>12.9</td>\n",
+       "      <td>2304.0</td>\n",
+       "      <td>8240.0</td>\n",
+       "      <td>70.0</td>\n",
+       "      <td>0.9</td>\n",
+       "      <td>5994.0</td>\n",
+       "      <td>69.0</td>\n",
+       "      <td>7015.0</td>\n",
+       "      <td>242164.0</td>\n",
+       "      <td>46861.0</td>\n",
+       "      <td>34521.0</td>\n",
+       "      <td>24715.0</td>\n",
+       "      <td>1</td>\n",
+       "      <td>0</td>\n",
+       "      <td>2</td>\n",
+       "      <td>6</td>\n",
+       "      <td>1</td>\n",
+       "      <td>140</td>\n",
+       "      <td>4</td>\n",
+       "      <td>4</td>\n",
+       "      <td>2.702381</td>\n",
+       "      <td>0.001174</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>St. Pauli</th>\n",
+       "      <td>22056.0</td>\n",
+       "      <td>2941.0</td>\n",
+       "      <td>13.3</td>\n",
+       "      <td>2270.0</td>\n",
+       "      <td>10.3</td>\n",
+       "      <td>14772.0</td>\n",
+       "      <td>1.5</td>\n",
+       "      <td>2.2</td>\n",
+       "      <td>9836.0</td>\n",
+       "      <td>9903.0</td>\n",
+       "      <td>57.2</td>\n",
+       "      <td>1535.0</td>\n",
+       "      <td>1293.0</td>\n",
+       "      <td>12667.0</td>\n",
+       "      <td>64.2</td>\n",
+       "      <td>36.9</td>\n",
+       "      <td>1522.0</td>\n",
+       "      <td>12.0</td>\n",
+       "      <td>1998.0</td>\n",
+       "      <td>7716.0</td>\n",
+       "      <td>173.0</td>\n",
+       "      <td>1.4</td>\n",
+       "      <td>10184.0</td>\n",
+       "      <td>68.9</td>\n",
+       "      <td>11066.0</td>\n",
+       "      <td>309596.0</td>\n",
+       "      <td>55589.0</td>\n",
+       "      <td>27977.0</td>\n",
+       "      <td>19399.0</td>\n",
+       "      <td>1</td>\n",
+       "      <td>0</td>\n",
+       "      <td>1</td>\n",
+       "      <td>10</td>\n",
+       "      <td>0</td>\n",
+       "      <td>109</td>\n",
+       "      <td>1</td>\n",
+       "      <td>2</td>\n",
+       "      <td>1.851190</td>\n",
+       "      <td>0.009631</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>St. Georg</th>\n",
+       "      <td>12318.0</td>\n",
+       "      <td>1420.0</td>\n",
+       "      <td>11.5</td>\n",
+       "      <td>1676.0</td>\n",
+       "      <td>13.6</td>\n",
+       "      <td>7720.0</td>\n",
+       "      <td>1.6</td>\n",
+       "      <td>1.8</td>\n",
+       "      <td>6758.0</td>\n",
+       "      <td>5424.0</td>\n",
+       "      <td>57.6</td>\n",
+       "      <td>659.0</td>\n",
+       "      <td>561.0</td>\n",
+       "      <td>6444.0</td>\n",
+       "      <td>71.1</td>\n",
+       "      <td>37.2</td>\n",
+       "      <td>764.0</td>\n",
+       "      <td>11.9</td>\n",
+       "      <td>1996.0</td>\n",
+       "      <td>7961.0</td>\n",
+       "      <td>63.0</td>\n",
+       "      <td>1.0</td>\n",
+       "      <td>5043.0</td>\n",
+       "      <td>65.3</td>\n",
+       "      <td>5683.0</td>\n",
+       "      <td>250742.0</td>\n",
+       "      <td>58371.0</td>\n",
+       "      <td>44121.0</td>\n",
+       "      <td>27161.0</td>\n",
+       "      <td>2</td>\n",
+       "      <td>0</td>\n",
+       "      <td>0</td>\n",
+       "      <td>11</td>\n",
+       "      <td>0</td>\n",
+       "      <td>80</td>\n",
+       "      <td>2</td>\n",
+       "      <td>4</td>\n",
+       "      <td>2.523810</td>\n",
+       "      <td>0.008493</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",
+       "      <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",
+       "      <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>Hausbruch</th>\n",
+       "      <td>16868.0</td>\n",
+       "      <td>3196.0</td>\n",
+       "      <td>18.9</td>\n",
+       "      <td>3554.0</td>\n",
+       "      <td>21.1</td>\n",
+       "      <td>7829.0</td>\n",
+       "      <td>2.1</td>\n",
+       "      <td>9.8</td>\n",
+       "      <td>1715.0</td>\n",
+       "      <td>6492.0</td>\n",
+       "      <td>60.8</td>\n",
+       "      <td>758.0</td>\n",
+       "      <td>3053.0</td>\n",
+       "      <td>7323.0</td>\n",
+       "      <td>85.0</td>\n",
+       "      <td>36.9</td>\n",
+       "      <td>1030.0</td>\n",
+       "      <td>14.1</td>\n",
+       "      <td>541.0</td>\n",
+       "      <td>3877.0</td>\n",
+       "      <td>2793.0</td>\n",
+       "      <td>38.1</td>\n",
+       "      <td>3134.0</td>\n",
+       "      <td>40.0</td>\n",
+       "      <td>7349.0</td>\n",
+       "      <td>227990.0</td>\n",
+       "      <td>36179.0</td>\n",
+       "      <td>31023.0</td>\n",
+       "      <td>21355.0</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>0.422619</td>\n",
+       "      <td>0.104116</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>Neugraben-Fischbek</th>\n",
+       "      <td>33963.0</td>\n",
+       "      <td>7480.0</td>\n",
+       "      <td>22.0</td>\n",
+       "      <td>6318.0</td>\n",
+       "      <td>18.6</td>\n",
+       "      <td>15602.0</td>\n",
+       "      <td>2.2</td>\n",
+       "      <td>22.5</td>\n",
+       "      <td>1508.0</td>\n",
+       "      <td>12746.0</td>\n",
+       "      <td>59.9</td>\n",
+       "      <td>1493.0</td>\n",
+       "      <td>6669.0</td>\n",
+       "      <td>14755.0</td>\n",
+       "      <td>87.0</td>\n",
+       "      <td>37.8</td>\n",
+       "      <td>1078.0</td>\n",
+       "      <td>7.3</td>\n",
+       "      <td>554.0</td>\n",
+       "      <td>3912.0</td>\n",
+       "      <td>6124.0</td>\n",
+       "      <td>41.5</td>\n",
+       "      <td>6247.0</td>\n",
+       "      <td>40.0</td>\n",
+       "      <td>12290.0</td>\n",
+       "      <td>382231.0</td>\n",
+       "      <td>60244.0</td>\n",
+       "      <td>31101.0</td>\n",
+       "      <td>22492.0</td>\n",
+       "      <td>1</td>\n",
+       "      <td>0</td>\n",
+       "      <td>0</td>\n",
+       "      <td>4</td>\n",
+       "      <td>1</td>\n",
+       "      <td>8</td>\n",
+       "      <td>0</td>\n",
+       "      <td>0</td>\n",
+       "      <td>1.857143</td>\n",
+       "      <td>0.130211</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>Francop</th>\n",
+       "      <td>736.0</td>\n",
+       "      <td>119.0</td>\n",
+       "      <td>16.2</td>\n",
+       "      <td>133.0</td>\n",
+       "      <td>18.1</td>\n",
+       "      <td>374.0</td>\n",
+       "      <td>2.0</td>\n",
+       "      <td>8.8</td>\n",
+       "      <td>84.0</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>208.0</td>\n",
+       "      <td>347.0</td>\n",
+       "      <td>98.5</td>\n",
+       "      <td>46.4</td>\n",
+       "      <td>0.0</td>\n",
+       "      <td>0.0</td>\n",
+       "      <td>427.0</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>255.0</td>\n",
+       "      <td>73.5</td>\n",
+       "      <td>161.0</td>\n",
+       "      <td>43.0</td>\n",
+       "      <td>356.0</td>\n",
+       "      <td>12738.0</td>\n",
+       "      <td>2083.0</td>\n",
+       "      <td>35782.0</td>\n",
+       "      <td>26568.0</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>0.000000</td>\n",
+       "      <td>0.114626</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>Neuenfelde</th>\n",
+       "      <td>5245.0</td>\n",
+       "      <td>1251.0</td>\n",
+       "      <td>23.9</td>\n",
+       "      <td>748.0</td>\n",
+       "      <td>14.3</td>\n",
+       "      <td>2337.0</td>\n",
+       "      <td>2.2</td>\n",
+       "      <td>15.7</td>\n",
+       "      <td>335.0</td>\n",
+       "      <td>1957.0</td>\n",
+       "      <td>57.1</td>\n",
+       "      <td>253.0</td>\n",
+       "      <td>1103.0</td>\n",
+       "      <td>2037.0</td>\n",
+       "      <td>95.4</td>\n",
+       "      <td>37.1</td>\n",
+       "      <td>309.0</td>\n",
+       "      <td>15.2</td>\n",
+       "      <td>401.0</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>1261.0</td>\n",
+       "      <td>61.9</td>\n",
+       "      <td>1033.0</td>\n",
+       "      <td>44.2</td>\n",
+       "      <td>1909.0</td>\n",
+       "      <td>62765.0</td>\n",
+       "      <td>10422.0</td>\n",
+       "      <td>32879.0</td>\n",
+       "      <td>22909.0</td>\n",
+       "      <td>0</td>\n",
+       "      <td>0</td>\n",
+       "      <td>1</td>\n",
+       "      <td>0</td>\n",
+       "      <td>0</td>\n",
+       "      <td>2</td>\n",
+       "      <td>0</td>\n",
+       "      <td>0</td>\n",
+       "      <td>0.375000</td>\n",
+       "      <td>0.162791</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>Cranz</th>\n",
+       "      <td>810.0</td>\n",
+       "      <td>130.0</td>\n",
+       "      <td>16.0</td>\n",
+       "      <td>154.0</td>\n",
+       "      <td>19.0</td>\n",
+       "      <td>460.0</td>\n",
+       "      <td>1.8</td>\n",
+       "      <td>1.3</td>\n",
+       "      <td>608.0</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>170.0</td>\n",
+       "      <td>405.0</td>\n",
+       "      <td>87.5</td>\n",
+       "      <td>43.7</td>\n",
+       "      <td>0.0</td>\n",
+       "      <td>0.0</td>\n",
+       "      <td>451.0</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>146.0</td>\n",
+       "      <td>36.0</td>\n",
+       "      <td>252.0</td>\n",
+       "      <td>54.8</td>\n",
+       "      <td>378.0</td>\n",
+       "      <td>11845.0</td>\n",
+       "      <td>2018.0</td>\n",
+       "      <td>31335.0</td>\n",
+       "      <td>22852.0</td>\n",
+       "      <td>0</td>\n",
+       "      <td>0</td>\n",
+       "      <td>0</td>\n",
+       "      <td>0</td>\n",
+       "      <td>0</td>\n",
+       "      <td>2</td>\n",
+       "      <td>0</td>\n",
+       "      <td>0</td>\n",
+       "      <td>0.000000</td>\n",
+       "      <td>0.200686</td>\n",
+       "    </tr>\n",
+       "  </tbody>\n",
+       "</table>\n",
+       "<p>99 rows × 39 columns</p>\n",
+       "</div>"
+      ],
+      "text/plain": [
+       "                    Anzahl der Einwohner: innen  \\\n",
+       "stadtteil                                         \n",
+       "Hamburg-Altstadt                         3182.0   \n",
+       "HafenCity                                6950.0   \n",
+       "Neustadt                                12649.0   \n",
+       "St. Pauli                               22056.0   \n",
+       "St. Georg                               12318.0   \n",
+       "...                                         ...   \n",
+       "Hausbruch                               16868.0   \n",
+       "Neugraben-Fischbek                      33963.0   \n",
+       "Francop                                   736.0   \n",
+       "Neuenfelde                               5245.0   \n",
+       "Cranz                                     810.0   \n",
+       "\n",
+       "                    Anzahl der Kinder und Jugendlichen unter 18 Jahren  \\\n",
+       "stadtteil                                                                \n",
+       "Hamburg-Altstadt                                                515.0    \n",
+       "HafenCity                                                      1386.0    \n",
+       "Neustadt                                                       1412.0    \n",
+       "St. Pauli                                                      2941.0    \n",
+       "St. Georg                                                      1420.0    \n",
+       "...                                                               ...    \n",
+       "Hausbruch                                                      3196.0    \n",
+       "Neugraben-Fischbek                                             7480.0    \n",
+       "Francop                                                         119.0    \n",
+       "Neuenfelde                                                     1251.0    \n",
+       "Cranz                                                           130.0    \n",
+       "\n",
+       "                    Anteil Kinder und Jugendlicher unter 18 Jahren an der Gesamt-bevölkerung  \\\n",
+       "stadtteil                                                                                      \n",
+       "Hamburg-Altstadt                                                 16.2                          \n",
+       "HafenCity                                                        19.9                          \n",
+       "Neustadt                                                         11.2                          \n",
+       "St. Pauli                                                        13.3                          \n",
+       "St. Georg                                                        11.5                          \n",
+       "...                                                               ...                          \n",
+       "Hausbruch                                                        18.9                          \n",
+       "Neugraben-Fischbek                                               22.0                          \n",
+       "Francop                                                          16.2                          \n",
+       "Neuenfelde                                                       23.9                          \n",
+       "Cranz                                                            16.0                          \n",
+       "\n",
+       "                    Anzahl älterer Einwohner: innen über 64 Jahren  \\\n",
+       "stadtteil                                                            \n",
+       "Hamburg-Altstadt                                             316.0   \n",
+       "HafenCity                                                    644.0   \n",
+       "Neustadt                                                    1919.0   \n",
+       "St. Pauli                                                   2270.0   \n",
+       "St. Georg                                                   1676.0   \n",
+       "...                                                            ...   \n",
+       "Hausbruch                                                   3554.0   \n",
+       "Neugraben-Fischbek                                          6318.0   \n",
+       "Francop                                                      133.0   \n",
+       "Neuenfelde                                                   748.0   \n",
+       "Cranz                                                        154.0   \n",
+       "\n",
+       "                    Anteil älterer Einwohner: innen über 64 Jahren an der Gesamt-bevölkerung  \\\n",
+       "stadtteil                                                                                      \n",
+       "Hamburg-Altstadt                                                  9.9                          \n",
+       "HafenCity                                                         9.3                          \n",
+       "Neustadt                                                         15.2                          \n",
+       "St. Pauli                                                        10.3                          \n",
+       "St. Georg                                                        13.6                          \n",
+       "...                                                               ...                          \n",
+       "Hausbruch                                                        21.1                          \n",
+       "Neugraben-Fischbek                                               18.6                          \n",
+       "Francop                                                          18.1                          \n",
+       "Neuenfelde                                                       14.3                          \n",
+       "Cranz                                                            19.0                          \n",
+       "\n",
+       "                    Anzahl der Haushalte  \\\n",
+       "stadtteil                                  \n",
+       "Hamburg-Altstadt                  1884.0   \n",
+       "HafenCity                         3183.0   \n",
+       "Neustadt                          8683.0   \n",
+       "St. Pauli                        14772.0   \n",
+       "St. Georg                         7720.0   \n",
+       "...                                  ...   \n",
+       "Hausbruch                         7829.0   \n",
+       "Neugraben-Fischbek               15602.0   \n",
+       "Francop                            374.0   \n",
+       "Neuenfelde                        2337.0   \n",
+       "Cranz                              460.0   \n",
+       "\n",
+       "                    Durch-schnittliche Anzahl der Personen je Haushalt  \\\n",
+       "stadtteil                                                                \n",
+       "Hamburg-Altstadt                                                  1.7    \n",
+       "HafenCity                                                         2.2    \n",
+       "Neustadt                                                          1.5    \n",
+       "St. Pauli                                                         1.5    \n",
+       "St. Georg                                                         1.6    \n",
+       "...                                                               ...    \n",
+       "Hausbruch                                                         2.1    \n",
+       "Neugraben-Fischbek                                                2.2    \n",
+       "Francop                                                           2.0    \n",
+       "Neuenfelde                                                        2.2    \n",
+       "Cranz                                                             1.8    \n",
+       "\n",
+       "                    Fläche in km²  Einwohner: innen je km²  \\\n",
+       "stadtteil                                                    \n",
+       "Hamburg-Altstadt              1.3                   2447.0   \n",
+       "HafenCity                     2.4                   2865.0   \n",
+       "Neustadt                      2.3                   5592.0   \n",
+       "St. Pauli                     2.2                   9836.0   \n",
+       "St. Georg                     1.8                   6758.0   \n",
+       "...                           ...                      ...   \n",
+       "Hausbruch                     9.8                   1715.0   \n",
+       "Neugraben-Fischbek           22.5                   1508.0   \n",
+       "Francop                       8.8                     84.0   \n",
+       "Neuenfelde                   15.7                    335.0   \n",
+       "Cranz                         1.3                    608.0   \n",
+       "\n",
+       "                    Sozial-versicherungs-pflichtig Beschäftigte am Wohnort  \\\n",
+       "stadtteil                                                                    \n",
+       "Hamburg-Altstadt                                               1346.0        \n",
+       "HafenCity                                                      3087.0        \n",
+       "Neustadt                                                       6350.0        \n",
+       "St. Pauli                                                      9903.0        \n",
+       "St. Georg                                                      5424.0        \n",
+       "...                                                               ...        \n",
+       "Hausbruch                                                      6492.0        \n",
+       "Neugraben-Fischbek                                            12746.0        \n",
+       "Francop                                                           NaN        \n",
+       "Neuenfelde                                                     1957.0        \n",
+       "Cranz                                                             NaN        \n",
+       "\n",
+       "                    Anteil sozial-versicherungs-pflichtig Beschäftigter am Wohnort an den Erwerbs-fähigen (15 bis unter 65-Jährige)  \\\n",
+       "stadtteil                                                                                                                             \n",
+       "Hamburg-Altstadt                                                 55.6                                                                 \n",
+       "HafenCity                                                        61.6                                                                 \n",
+       "Neustadt                                                         66.9                                                                 \n",
+       "St. Pauli                                                        57.2                                                                 \n",
+       "St. Georg                                                        57.6                                                                 \n",
+       "...                                                               ...                                                                 \n",
+       "Hausbruch                                                        60.8                                                                 \n",
+       "Neugraben-Fischbek                                               59.9                                                                 \n",
+       "Francop                                                           NaN                                                                 \n",
+       "Neuenfelde                                                       57.1                                                                 \n",
+       "Cranz                                                             NaN                                                                 \n",
+       "\n",
+       "                    Anzahl der Arbeitslosen  Anzahl der Wohngebäude  \\\n",
+       "stadtteil                                                             \n",
+       "Hamburg-Altstadt                      324.0                   103.0   \n",
+       "HafenCity                             147.0                   141.0   \n",
+       "Neustadt                              493.0                   652.0   \n",
+       "St. Pauli                            1535.0                  1293.0   \n",
+       "St. Georg                             659.0                   561.0   \n",
+       "...                                     ...                     ...   \n",
+       "Hausbruch                             758.0                  3053.0   \n",
+       "Neugraben-Fischbek                   1493.0                  6669.0   \n",
+       "Francop                                 NaN                   208.0   \n",
+       "Neuenfelde                            253.0                  1103.0   \n",
+       "Cranz                                   NaN                   170.0   \n",
+       "\n",
+       "                    Anzahl der Wohnungen  \\\n",
+       "stadtteil                                  \n",
+       "Hamburg-Altstadt                  1487.0   \n",
+       "HafenCity                         3898.0   \n",
+       "Neustadt                          7700.0   \n",
+       "St. Pauli                        12667.0   \n",
+       "St. Georg                         6444.0   \n",
+       "...                                  ...   \n",
+       "Hausbruch                         7323.0   \n",
+       "Neugraben-Fischbek               14755.0   \n",
+       "Francop                            347.0   \n",
+       "Neuenfelde                        2037.0   \n",
+       "Cranz                              405.0   \n",
+       "\n",
+       "                    Durch-schnittliche Wohnungs-größe in m²  \\\n",
+       "stadtteil                                                     \n",
+       "Hamburg-Altstadt                                       74.1   \n",
+       "HafenCity                                              81.4   \n",
+       "Neustadt                                               63.1   \n",
+       "St. Pauli                                              64.2   \n",
+       "St. Georg                                              71.1   \n",
+       "...                                                     ...   \n",
+       "Hausbruch                                              85.0   \n",
+       "Neugraben-Fischbek                                     87.0   \n",
+       "Francop                                                98.5   \n",
+       "Neuenfelde                                             95.4   \n",
+       "Cranz                                                  87.5   \n",
+       "\n",
+       "                    Durch-schnittliche Wohnfläche je Einwohner:in in m²  \\\n",
+       "stadtteil                                                                 \n",
+       "Hamburg-Altstadt                                                 34.6     \n",
+       "HafenCity                                                        45.7     \n",
+       "Neustadt                                                         38.4     \n",
+       "St. Pauli                                                        36.9     \n",
+       "St. Georg                                                        37.2     \n",
+       "...                                                               ...     \n",
+       "Hausbruch                                                        36.9     \n",
+       "Neugraben-Fischbek                                               37.8     \n",
+       "Francop                                                          46.4     \n",
+       "Neuenfelde                                                       37.1     \n",
+       "Cranz                                                            43.7     \n",
+       "\n",
+       "                    Anzahl der Sozial-wohnungen  \\\n",
+       "stadtteil                                         \n",
+       "Hamburg-Altstadt                          176.0   \n",
+       "HafenCity                                1074.0   \n",
+       "Neustadt                                  992.0   \n",
+       "St. Pauli                                1522.0   \n",
+       "St. Georg                                 764.0   \n",
+       "...                                         ...   \n",
+       "Hausbruch                                1030.0   \n",
+       "Neugraben-Fischbek                       1078.0   \n",
+       "Francop                                     0.0   \n",
+       "Neuenfelde                                309.0   \n",
+       "Cranz                                       0.0   \n",
+       "\n",
+       "                    Anteil der Sozial-wohnungen an allen Wohnungen  \\\n",
+       "stadtteil                                                            \n",
+       "Hamburg-Altstadt                                              11.8   \n",
+       "HafenCity                                                     27.6   \n",
+       "Neustadt                                                      12.9   \n",
+       "St. Pauli                                                     12.0   \n",
+       "St. Georg                                                     11.9   \n",
+       "...                                                            ...   \n",
+       "Hausbruch                                                     14.1   \n",
+       "Neugraben-Fischbek                                             7.3   \n",
+       "Francop                                                        0.0   \n",
+       "Neuenfelde                                                    15.2   \n",
+       "Cranz                                                          0.0   \n",
+       "\n",
+       "                    Durch-schnittlicher Immobilien-preis für ein Grundstück in EUR/m²  \\\n",
+       "stadtteil                                                                               \n",
+       "Hamburg-Altstadt                                               2366.0                   \n",
+       "HafenCity                                                      3031.0                   \n",
+       "Neustadt                                                       2304.0                   \n",
+       "St. Pauli                                                      1998.0                   \n",
+       "St. Georg                                                      1996.0                   \n",
+       "...                                                               ...                   \n",
+       "Hausbruch                                                       541.0                   \n",
+       "Neugraben-Fischbek                                              554.0                   \n",
+       "Francop                                                         427.0                   \n",
+       "Neuenfelde                                                      401.0                   \n",
+       "Cranz                                                           451.0                   \n",
+       "\n",
+       "                    Durch-schnittlicher Immobilien-preis für eine Eigentums-wohnung in EUR/m²  \\\n",
+       "stadtteil                                                                                       \n",
+       "Hamburg-Altstadt                                               4869.0                           \n",
+       "HafenCity                                                     10746.0                           \n",
+       "Neustadt                                                       8240.0                           \n",
+       "St. Pauli                                                      7716.0                           \n",
+       "St. Georg                                                      7961.0                           \n",
+       "...                                                               ...                           \n",
+       "Hausbruch                                                      3877.0                           \n",
+       "Neugraben-Fischbek                                             3912.0                           \n",
+       "Francop                                                           NaN                           \n",
+       "Neuenfelde                                                        NaN                           \n",
+       "Cranz                                                             NaN                           \n",
+       "\n",
+       "                    Anzahl der Wohnungen in Ein- und Zweifamilien-häusern  \\\n",
+       "stadtteil                                                                   \n",
+       "Hamburg-Altstadt                                                 17.0       \n",
+       "HafenCity                                                         5.0       \n",
+       "Neustadt                                                         70.0       \n",
+       "St. Pauli                                                       173.0       \n",
+       "St. Georg                                                        63.0       \n",
+       "...                                                               ...       \n",
+       "Hausbruch                                                      2793.0       \n",
+       "Neugraben-Fischbek                                             6124.0       \n",
+       "Francop                                                         255.0       \n",
+       "Neuenfelde                                                     1261.0       \n",
+       "Cranz                                                           146.0       \n",
+       "\n",
+       "                    Anteil der Wohnungen in Ein- und Zweifamilien-häusern an allen Wohnungen  \\\n",
+       "stadtteil                                                                                      \n",
+       "Hamburg-Altstadt                                                  1.1                          \n",
+       "HafenCity                                                         0.1                          \n",
+       "Neustadt                                                          0.9                          \n",
+       "St. Pauli                                                         1.4                          \n",
+       "St. Georg                                                         1.0                          \n",
+       "...                                                               ...                          \n",
+       "Hausbruch                                                        38.1                          \n",
+       "Neugraben-Fischbek                                               41.5                          \n",
+       "Francop                                                          73.5                          \n",
+       "Neuenfelde                                                       61.9                          \n",
+       "Cranz                                                            36.0                          \n",
+       "\n",
+       "                    Anzahl der Einpersonen-haushalte  \\\n",
+       "stadtteil                                              \n",
+       "Hamburg-Altstadt                              1057.0   \n",
+       "HafenCity                                     1126.0   \n",
+       "Neustadt                                      5994.0   \n",
+       "St. Pauli                                    10184.0   \n",
+       "St. Georg                                     5043.0   \n",
+       "...                                              ...   \n",
+       "Hausbruch                                     3134.0   \n",
+       "Neugraben-Fischbek                            6247.0   \n",
+       "Francop                                        161.0   \n",
+       "Neuenfelde                                    1033.0   \n",
+       "Cranz                                          252.0   \n",
+       "\n",
+       "                    Anteil der Haushalte, in denen nur eine Person lebt, an allen Haushalten  \\\n",
+       "stadtteil                                                                                      \n",
+       "Hamburg-Altstadt                                                 56.1                          \n",
+       "HafenCity                                                        35.4                          \n",
+       "Neustadt                                                         69.0                          \n",
+       "St. Pauli                                                        68.9                          \n",
+       "St. Georg                                                        65.3                          \n",
+       "...                                                               ...                          \n",
+       "Hausbruch                                                        40.0                          \n",
+       "Neugraben-Fischbek                                               40.0                          \n",
+       "Francop                                                          43.0                          \n",
+       "Neuenfelde                                                       44.2                          \n",
+       "Cranz                                                            54.8                          \n",
+       "\n",
+       "                    Gesamtbetrag der Einkünfte - [Steuerpflichtig]  \\\n",
+       "stadtteil                                                            \n",
+       "Hamburg-Altstadt                                            1952.0   \n",
+       "HafenCity                                                   1255.0   \n",
+       "Neustadt                                                    7015.0   \n",
+       "St. Pauli                                                  11066.0   \n",
+       "St. Georg                                                   5683.0   \n",
+       "...                                                            ...   \n",
+       "Hausbruch                                                   7349.0   \n",
+       "Neugraben-Fischbek                                         12290.0   \n",
+       "Francop                                                      356.0   \n",
+       "Neuenfelde                                                  1909.0   \n",
+       "Cranz                                                        378.0   \n",
+       "\n",
+       "                    Gesamtbetrag der Einkünfte - [1000€]  \\\n",
+       "stadtteil                                                  \n",
+       "Hamburg-Altstadt                                 61168.0   \n",
+       "HafenCity                                       116973.0   \n",
+       "Neustadt                                        242164.0   \n",
+       "St. Pauli                                       309596.0   \n",
+       "St. Georg                                       250742.0   \n",
+       "...                                                  ...   \n",
+       "Hausbruch                                       227990.0   \n",
+       "Neugraben-Fischbek                              382231.0   \n",
+       "Francop                                          12738.0   \n",
+       "Neuenfelde                                       62765.0   \n",
+       "Cranz                                            11845.0   \n",
+       "\n",
+       "                    Festgesetzte Einkommenssteuer/ Jahreslohnsteuer - [1000€]  \\\n",
+       "stadtteil                                                                       \n",
+       "Hamburg-Altstadt                                              11577.0           \n",
+       "HafenCity                                                     34051.0           \n",
+       "Neustadt                                                      46861.0           \n",
+       "St. Pauli                                                     55589.0           \n",
+       "St. Georg                                                     58371.0           \n",
+       "...                                                               ...           \n",
+       "Hausbruch                                                     36179.0           \n",
+       "Neugraben-Fischbek                                            60244.0           \n",
+       "Francop                                                        2083.0           \n",
+       "Neuenfelde                                                    10422.0           \n",
+       "Cranz                                                          2018.0           \n",
+       "\n",
+       "                    Gesamtbetrag Einkünfte Mittelwert - [€]  \\\n",
+       "stadtteil                                                     \n",
+       "Hamburg-Altstadt                                    31336.0   \n",
+       "HafenCity                                           93206.0   \n",
+       "Neustadt                                            34521.0   \n",
+       "St. Pauli                                           27977.0   \n",
+       "St. Georg                                           44121.0   \n",
+       "...                                                     ...   \n",
+       "Hausbruch                                           31023.0   \n",
+       "Neugraben-Fischbek                                  31101.0   \n",
+       "Francop                                             35782.0   \n",
+       "Neuenfelde                                          32879.0   \n",
+       "Cranz                                               31335.0   \n",
+       "\n",
+       "                    Gesamtbetrag Einkünfte Median - [€]  market_count  \\\n",
+       "stadtteil                                                               \n",
+       "Hamburg-Altstadt                                10811.0             2   \n",
+       "HafenCity                                       57913.0             1   \n",
+       "Neustadt                                        24715.0             1   \n",
+       "St. Pauli                                       19399.0             1   \n",
+       "St. Georg                                       27161.0             2   \n",
+       "...                                                 ...           ...   \n",
+       "Hausbruch                                       21355.0             0   \n",
+       "Neugraben-Fischbek                              22492.0             1   \n",
+       "Francop                                         26568.0             0   \n",
+       "Neuenfelde                                      22909.0             0   \n",
+       "Cranz                                           22852.0             0   \n",
+       "\n",
+       "                    farms_count  greencrocers_count  supermarkets_count  \\\n",
+       "stadtteil                                                                 \n",
+       "Hamburg-Altstadt              0                   1                   4   \n",
+       "HafenCity                     0                   0                   6   \n",
+       "Neustadt                      0                   2                   6   \n",
+       "St. Pauli                     0                   1                  10   \n",
+       "St. Georg                     0                   0                  11   \n",
+       "...                         ...                 ...                 ...   \n",
+       "Hausbruch                     0                   1                   1   \n",
+       "Neugraben-Fischbek            0                   0                   4   \n",
+       "Francop                       0                   0                   0   \n",
+       "Neuenfelde                    0                   1                   0   \n",
+       "Cranz                         0                   0                   0   \n",
+       "\n",
+       "                    biosupermarkets_count  all_restaurants_count  \\\n",
+       "stadtteil                                                          \n",
+       "Hamburg-Altstadt                        0                    129   \n",
+       "HafenCity                               1                     56   \n",
+       "Neustadt                                1                    140   \n",
+       "St. Pauli                               0                    109   \n",
+       "St. Georg                               0                     80   \n",
+       "...                                   ...                    ...   \n",
+       "Hausbruch                               0                      1   \n",
+       "Neugraben-Fischbek                      1                      8   \n",
+       "Francop                                 0                      0   \n",
+       "Neuenfelde                              0                      2   \n",
+       "Cranz                                   0                      2   \n",
+       "\n",
+       "                    organic_restaurants_count  vegan_restaurants_count  \\\n",
+       "stadtteil                                                                \n",
+       "Hamburg-Altstadt                            0                        4   \n",
+       "HafenCity                                   3                        1   \n",
+       "Neustadt                                    4                        4   \n",
+       "St. Pauli                                   1                        2   \n",
+       "St. Georg                                   2                        4   \n",
+       "...                                       ...                      ...   \n",
+       "Hausbruch                                   0                        0   \n",
+       "Neugraben-Fischbek                          0                        0   \n",
+       "Francop                                     0                        0   \n",
+       "Neuenfelde                                  0                        0   \n",
+       "Cranz                                       0                        0   \n",
+       "\n",
+       "                    art_score  distance_rathaus  \n",
+       "stadtteil                                        \n",
+       "Hamburg-Altstadt     2.565476          0.000000  \n",
+       "HafenCity            1.952381          0.005758  \n",
+       "Neustadt             2.702381          0.001174  \n",
+       "St. Pauli            1.851190          0.009631  \n",
+       "St. Georg            2.523810          0.008493  \n",
+       "...                       ...               ...  \n",
+       "Hausbruch            0.422619          0.104116  \n",
+       "Neugraben-Fischbek   1.857143          0.130211  \n",
+       "Francop              0.000000          0.114626  \n",
+       "Neuenfelde           0.375000          0.162791  \n",
+       "Cranz                0.000000          0.200686  \n",
+       "\n",
+       "[99 rows x 39 columns]"
+      ]
+     },
+     "execution_count": 7,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "#path1 = \"C:/Users/HOME/Git/project-version-2-1/Data/final_data.csv\"\n",
+    "path1 = Data/final_data.csv\n",
+    "final_df = pd.read_csv(path1)\n",
+    "\n",
+    "final_df.columns.values[0] = \"stadtteil\"\n",
+    "final_df.set_index(final_df.columns[0], inplace=True)\n",
+    "final_df"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "Corr_Pvalue_VIF for all 39 variables (after literature filtering)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 8,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "total number of missing values in merged_df: 0\n"
+     ]
+    }
+   ],
+   "source": [
+    "#replace NaNs to column-average \n",
+    "\n",
+    "column_means = final_df.mean()\n",
+    "\n",
+    "merged_df = final_df.fillna(column_means)\n",
+    "\n",
+    "#check if there are left NaNs in merged_df\n",
+    "\n",
+    "total_missing_values = merged_df.isna().sum().sum()\n",
+    "\n",
+    "print(\"total number of missing values in merged_df:\", total_missing_values)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 9,
+   "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></th>\n",
+       "      <th>Correlation Coefficient</th>\n",
+       "      <th>P-Value</th>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>Column 1</th>\n",
+       "      <th>Column 2</th>\n",
+       "      <th></th>\n",
+       "      <th></th>\n",
+       "    </tr>\n",
+       "  </thead>\n",
+       "  <tbody>\n",
+       "    <tr>\n",
+       "      <th rowspan=\"5\" valign=\"top\">Anzahl der Einwohner: innen</th>\n",
+       "      <th>Anzahl der Kinder und Jugendlichen unter 18 Jahren</th>\n",
+       "      <td>0.967730</td>\n",
+       "      <td>7.170216e-60</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>Anteil Kinder und Jugendlicher unter 18 Jahren an der Gesamt-bevölkerung</th>\n",
+       "      <td>-0.130214</td>\n",
+       "      <td>1.989182e-01</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>Anzahl älterer Einwohner: innen über 64 Jahren</th>\n",
+       "      <td>0.946158</td>\n",
+       "      <td>2.602575e-49</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>Anteil älterer Einwohner: innen über 64 Jahren an der Gesamt-bevölkerung</th>\n",
+       "      <td>0.032310</td>\n",
+       "      <td>7.508825e-01</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>Anzahl der Haushalte</th>\n",
+       "      <td>0.982434</td>\n",
+       "      <td>1.568244e-72</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>...</th>\n",
+       "      <th>...</th>\n",
+       "      <td>...</td>\n",
+       "      <td>...</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th rowspan=\"5\" valign=\"top\">distance_rathaus</th>\n",
+       "      <th>biosupermarkets_count</th>\n",
+       "      <td>-0.197456</td>\n",
+       "      <td>5.010748e-02</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>all_restaurants_count</th>\n",
+       "      <td>-0.514299</td>\n",
+       "      <td>5.175046e-08</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>organic_restaurants_count</th>\n",
+       "      <td>-0.331365</td>\n",
+       "      <td>8.070870e-04</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>vegan_restaurants_count</th>\n",
+       "      <td>-0.440689</td>\n",
+       "      <td>4.994682e-06</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>art_score</th>\n",
+       "      <td>-0.301427</td>\n",
+       "      <td>2.430041e-03</td>\n",
+       "    </tr>\n",
+       "  </tbody>\n",
+       "</table>\n",
+       "<p>1482 rows × 2 columns</p>\n",
+       "</div>"
+      ],
+      "text/plain": [
+       "                                                                                Correlation Coefficient  \\\n",
+       "Column 1                    Column 2                                                                      \n",
+       "Anzahl der Einwohner: innen Anzahl der Kinder und Jugendlichen unter 18 Jahren                 0.967730   \n",
+       "                            Anteil Kinder und Jugendlicher unter 18 Jahren ...                -0.130214   \n",
+       "                            Anzahl älterer Einwohner: innen über 64 Jahren                     0.946158   \n",
+       "                            Anteil älterer Einwohner: innen über 64 Jahren ...                 0.032310   \n",
+       "                            Anzahl der Haushalte                                               0.982434   \n",
+       "...                                                                                                 ...   \n",
+       "distance_rathaus            biosupermarkets_count                                             -0.197456   \n",
+       "                            all_restaurants_count                                             -0.514299   \n",
+       "                            organic_restaurants_count                                         -0.331365   \n",
+       "                            vegan_restaurants_count                                           -0.440689   \n",
+       "                            art_score                                                         -0.301427   \n",
+       "\n",
+       "                                                                                     P-Value  \n",
+       "Column 1                    Column 2                                                          \n",
+       "Anzahl der Einwohner: innen Anzahl der Kinder und Jugendlichen unter 18 Jahren  7.170216e-60  \n",
+       "                            Anteil Kinder und Jugendlicher unter 18 Jahren ...  1.989182e-01  \n",
+       "                            Anzahl älterer Einwohner: innen über 64 Jahren      2.602575e-49  \n",
+       "                            Anteil älterer Einwohner: innen über 64 Jahren ...  7.508825e-01  \n",
+       "                            Anzahl der Haushalte                                1.568244e-72  \n",
+       "...                                                                                      ...  \n",
+       "distance_rathaus            biosupermarkets_count                               5.010748e-02  \n",
+       "                            all_restaurants_count                               5.175046e-08  \n",
+       "                            organic_restaurants_count                           8.070870e-04  \n",
+       "                            vegan_restaurants_count                             4.994682e-06  \n",
+       "                            art_score                                           2.430041e-03  \n",
+       "\n",
+       "[1482 rows x 2 columns]"
+      ]
+     },
+     "execution_count": 9,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "import matplotlib.pyplot as plt\n",
+    "from scipy.stats import pearsonr\n",
+    "\n",
+    "#Dataframe for computing Corr_Pvalue_VIF\n",
+    "#merged_df\n",
+    "\n",
+    "#check if there are left NaNs in merged_df\n",
+    "\n",
+    "#total_missing_values = merged_df.isna().sum().sum()\n",
+    "#print(\"total number of missing values in merged_df:\", total_missing_values)\n",
+    "\n",
+    "\n",
+    "#-------------------------making function for correlation & P-value--------------------------------- \n",
+    "\n",
+    "\n",
+    "def calculate_correlation_and_pvalue(df):\n",
+    "    correlation_results = []\n",
+    "\n",
+    "    for col1 in df.columns:\n",
+    "        for col2 in df.columns:\n",
+    "            if col1 != col2:  # except combinatioln with the coulumn itself\n",
+    "                correlation_coefficient, p_value = pearsonr(df[col1], df[col2])\n",
+    "                result = {\n",
+    "                    'Column 1': col1,\n",
+    "                    'Column 2': col2,\n",
+    "                    'Correlation Coefficient': correlation_coefficient,\n",
+    "                    'P-Value': p_value\n",
+    "                }\n",
+    "                correlation_results.append(result)\n",
+    "\n",
+    "    return pd.DataFrame(correlation_results)\n",
+    "\n",
+    "\n",
+    "# Compute correlation & p-value \n",
+    "corr_df = calculate_correlation_and_pvalue(merged_df)\n",
+    "corr_df = corr_df.set_index([corr_df.columns[0], corr_df.columns[1]])\n",
+    "corr_df"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 10,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "                                             Variable           VIF\n",
+      "0                         Anzahl der Einwohner: innen  1.440139e+04\n",
+      "1   Anzahl der Kinder und Jugendlichen unter 18 Ja...  2.531331e+03\n",
+      "2   Anteil Kinder und Jugendlicher unter 18 Jahren...  3.036803e+02\n",
+      "3      Anzahl älterer Einwohner: innen über 64 Jahren  5.055914e+02\n",
+      "4   Anteil älterer Einwohner: innen über 64 Jahren...  1.236074e+02\n",
+      "5                                Anzahl der Haushalte  2.408194e+04\n",
+      "6   Durch-schnittliche Anzahl der Personen je Haus...  1.800839e+03\n",
+      "7                                       Fläche in km²  8.274478e+00\n",
+      "8                             Einwohner: innen je km²  1.312299e+01\n",
+      "9   Sozial-versicherungs-pflichtig Beschäftigte am...  1.552534e+02\n",
+      "10  Anteil sozial-versicherungs-pflichtig Beschäft...  1.054074e+03\n",
+      "11                            Anzahl der Arbeitslosen  1.417910e+02\n",
+      "12                             Anzahl der Wohngebäude  2.020616e+03\n",
+      "13                               Anzahl der Wohnungen  3.534520e+03\n",
+      "14            Durch-schnittliche Wohnungs-größe in m²  1.361012e+03\n",
+      "15  Durch-schnittliche Wohnfläche je Einwohner:in ...  1.110014e+03\n",
+      "16                        Anzahl der Sozial-wohnungen  2.460560e+01\n",
+      "17     Anteil der Sozial-wohnungen an allen Wohnungen  7.758257e+00\n",
+      "18  Durch-schnittlicher Immobilien-preis für ein G...  1.840842e+01\n",
+      "19  Durch-schnittlicher Immobilien-preis für eine ...  8.253178e+01\n",
+      "20  Anzahl der Wohnungen in Ein- und Zweifamilien-...  1.037326e+03\n",
+      "21  Anteil der Wohnungen in Ein- und Zweifamilien-...  5.948718e+01\n",
+      "22                   Anzahl der Einpersonen-haushalte  6.734208e+03\n",
+      "23  Anteil der Haushalte, in denen nur eine Person...  2.626283e+02\n",
+      "24     Gesamtbetrag der Einkünfte - [Steuerpflichtig]  2.839704e+03\n",
+      "25               Gesamtbetrag der Einkünfte - [1000€]  5.222186e+03\n",
+      "26  Festgesetzte Einkommenssteuer/ Jahreslohnsteue...  1.929347e+03\n",
+      "27            Gesamtbetrag Einkünfte Mittelwert - [€]  1.527250e+02\n",
+      "28                Gesamtbetrag Einkünfte Median - [€]  2.140164e+02\n",
+      "29                                       market_count           inf\n",
+      "30                                        farms_count  1.924990e+00\n",
+      "31                                 greencrocers_count           inf\n",
+      "32                                 supermarkets_count           inf\n",
+      "33                              biosupermarkets_count           inf\n",
+      "34                              all_restaurants_count  1.992225e+01\n",
+      "35                          organic_restaurants_count  4.292400e+00\n",
+      "36                            vegan_restaurants_count  8.208440e+00\n",
+      "37                                          art_score           inf\n",
+      "38                                   distance_rathaus  1.173467e+01\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "c:\\Users\\HOME\\AppData\\Local\\Programs\\Python\\Python39\\lib\\site-packages\\statsmodels\\stats\\outliers_influence.py:198: RuntimeWarning: divide by zero encountered in scalar divide\n",
+      "  vif = 1. / (1. - r_squared_i)\n"
+     ]
+    }
+   ],
+   "source": [
+    "#--------------------------------------------compute VIF-------------------------------------------\n",
+    "\n",
+    "from statsmodels.stats.outliers_influence import variance_inflation_factor\n",
+    "\n",
+    "# define VIF function\n",
+    "def calculate_vif(data_frame):\n",
+    "    variables = data_frame.columns\n",
+    "    vif_data = pd.DataFrame()\n",
+    "    vif_data[\"Variable\"] = variables\n",
+    "    vif_data[\"VIF\"] = [variance_inflation_factor(data_frame.values, i) for i in range(data_frame.shape[1])]\n",
+    "    return vif_data\n",
+    "\n",
+    "# Compute VIF\n",
+    "vif_result = calculate_vif(merged_df)\n",
+    "print(vif_result)"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "Fianl Selected Variables for predicting Weekend Markets"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 11,
+   "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>market_count</th>\n",
+       "      <th>greencrocers_count</th>\n",
+       "      <th>supermarkets_count</th>\n",
+       "      <th>biosupermarkets_count</th>\n",
+       "      <th>all_restaurants_count</th>\n",
+       "      <th>organic_restaurants_count</th>\n",
+       "      <th>vegan_restaurants_count</th>\n",
+       "      <th>Einwohner: innen je km²</th>\n",
+       "      <th>Gesamtbetrag Einkünfte Median - [€]</th>\n",
+       "      <th>Anteil der Sozial-wohnungen an allen Wohnungen</th>\n",
+       "      <th>distance_rathaus</th>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>stadtteil</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>Hamburg-Altstadt</th>\n",
+       "      <td>2</td>\n",
+       "      <td>1</td>\n",
+       "      <td>4</td>\n",
+       "      <td>0</td>\n",
+       "      <td>129</td>\n",
+       "      <td>0</td>\n",
+       "      <td>4</td>\n",
+       "      <td>2447.0</td>\n",
+       "      <td>10811.0</td>\n",
+       "      <td>11.8</td>\n",
+       "      <td>0.000000</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>HafenCity</th>\n",
+       "      <td>1</td>\n",
+       "      <td>0</td>\n",
+       "      <td>6</td>\n",
+       "      <td>1</td>\n",
+       "      <td>56</td>\n",
+       "      <td>3</td>\n",
+       "      <td>1</td>\n",
+       "      <td>2865.0</td>\n",
+       "      <td>57913.0</td>\n",
+       "      <td>27.6</td>\n",
+       "      <td>0.005758</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>Neustadt</th>\n",
+       "      <td>1</td>\n",
+       "      <td>2</td>\n",
+       "      <td>6</td>\n",
+       "      <td>1</td>\n",
+       "      <td>140</td>\n",
+       "      <td>4</td>\n",
+       "      <td>4</td>\n",
+       "      <td>5592.0</td>\n",
+       "      <td>24715.0</td>\n",
+       "      <td>12.9</td>\n",
+       "      <td>0.001174</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>St. Pauli</th>\n",
+       "      <td>1</td>\n",
+       "      <td>1</td>\n",
+       "      <td>10</td>\n",
+       "      <td>0</td>\n",
+       "      <td>109</td>\n",
+       "      <td>1</td>\n",
+       "      <td>2</td>\n",
+       "      <td>9836.0</td>\n",
+       "      <td>19399.0</td>\n",
+       "      <td>12.0</td>\n",
+       "      <td>0.009631</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>St. Georg</th>\n",
+       "      <td>2</td>\n",
+       "      <td>0</td>\n",
+       "      <td>11</td>\n",
+       "      <td>0</td>\n",
+       "      <td>80</td>\n",
+       "      <td>2</td>\n",
+       "      <td>4</td>\n",
+       "      <td>6758.0</td>\n",
+       "      <td>27161.0</td>\n",
+       "      <td>11.9</td>\n",
+       "      <td>0.008493</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",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>Hausbruch</th>\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>1715.0</td>\n",
+       "      <td>21355.0</td>\n",
+       "      <td>14.1</td>\n",
+       "      <td>0.104116</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>Neugraben-Fischbek</th>\n",
+       "      <td>1</td>\n",
+       "      <td>0</td>\n",
+       "      <td>4</td>\n",
+       "      <td>1</td>\n",
+       "      <td>8</td>\n",
+       "      <td>0</td>\n",
+       "      <td>0</td>\n",
+       "      <td>1508.0</td>\n",
+       "      <td>22492.0</td>\n",
+       "      <td>7.3</td>\n",
+       "      <td>0.130211</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>Francop</th>\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>84.0</td>\n",
+       "      <td>26568.0</td>\n",
+       "      <td>0.0</td>\n",
+       "      <td>0.114626</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>Neuenfelde</th>\n",
+       "      <td>0</td>\n",
+       "      <td>1</td>\n",
+       "      <td>0</td>\n",
+       "      <td>0</td>\n",
+       "      <td>2</td>\n",
+       "      <td>0</td>\n",
+       "      <td>0</td>\n",
+       "      <td>335.0</td>\n",
+       "      <td>22909.0</td>\n",
+       "      <td>15.2</td>\n",
+       "      <td>0.162791</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>Cranz</th>\n",
+       "      <td>0</td>\n",
+       "      <td>0</td>\n",
+       "      <td>0</td>\n",
+       "      <td>0</td>\n",
+       "      <td>2</td>\n",
+       "      <td>0</td>\n",
+       "      <td>0</td>\n",
+       "      <td>608.0</td>\n",
+       "      <td>22852.0</td>\n",
+       "      <td>0.0</td>\n",
+       "      <td>0.200686</td>\n",
+       "    </tr>\n",
+       "  </tbody>\n",
+       "</table>\n",
+       "<p>99 rows × 11 columns</p>\n",
+       "</div>"
+      ],
+      "text/plain": [
+       "                    market_count  greencrocers_count  supermarkets_count  \\\n",
+       "stadtteil                                                                  \n",
+       "Hamburg-Altstadt               2                   1                   4   \n",
+       "HafenCity                      1                   0                   6   \n",
+       "Neustadt                       1                   2                   6   \n",
+       "St. Pauli                      1                   1                  10   \n",
+       "St. Georg                      2                   0                  11   \n",
+       "...                          ...                 ...                 ...   \n",
+       "Hausbruch                      0                   1                   1   \n",
+       "Neugraben-Fischbek             1                   0                   4   \n",
+       "Francop                        0                   0                   0   \n",
+       "Neuenfelde                     0                   1                   0   \n",
+       "Cranz                          0                   0                   0   \n",
+       "\n",
+       "                    biosupermarkets_count  all_restaurants_count  \\\n",
+       "stadtteil                                                          \n",
+       "Hamburg-Altstadt                        0                    129   \n",
+       "HafenCity                               1                     56   \n",
+       "Neustadt                                1                    140   \n",
+       "St. Pauli                               0                    109   \n",
+       "St. Georg                               0                     80   \n",
+       "...                                   ...                    ...   \n",
+       "Hausbruch                               0                      1   \n",
+       "Neugraben-Fischbek                      1                      8   \n",
+       "Francop                                 0                      0   \n",
+       "Neuenfelde                              0                      2   \n",
+       "Cranz                                   0                      2   \n",
+       "\n",
+       "                    organic_restaurants_count  vegan_restaurants_count  \\\n",
+       "stadtteil                                                                \n",
+       "Hamburg-Altstadt                            0                        4   \n",
+       "HafenCity                                   3                        1   \n",
+       "Neustadt                                    4                        4   \n",
+       "St. Pauli                                   1                        2   \n",
+       "St. Georg                                   2                        4   \n",
+       "...                                       ...                      ...   \n",
+       "Hausbruch                                   0                        0   \n",
+       "Neugraben-Fischbek                          0                        0   \n",
+       "Francop                                     0                        0   \n",
+       "Neuenfelde                                  0                        0   \n",
+       "Cranz                                       0                        0   \n",
+       "\n",
+       "                    Einwohner: innen je km²  \\\n",
+       "stadtteil                                     \n",
+       "Hamburg-Altstadt                     2447.0   \n",
+       "HafenCity                            2865.0   \n",
+       "Neustadt                             5592.0   \n",
+       "St. Pauli                            9836.0   \n",
+       "St. Georg                            6758.0   \n",
+       "...                                     ...   \n",
+       "Hausbruch                            1715.0   \n",
+       "Neugraben-Fischbek                   1508.0   \n",
+       "Francop                                84.0   \n",
+       "Neuenfelde                            335.0   \n",
+       "Cranz                                 608.0   \n",
+       "\n",
+       "                    Gesamtbetrag Einkünfte Median - [€]  \\\n",
+       "stadtteil                                                 \n",
+       "Hamburg-Altstadt                                10811.0   \n",
+       "HafenCity                                       57913.0   \n",
+       "Neustadt                                        24715.0   \n",
+       "St. Pauli                                       19399.0   \n",
+       "St. Georg                                       27161.0   \n",
+       "...                                                 ...   \n",
+       "Hausbruch                                       21355.0   \n",
+       "Neugraben-Fischbek                              22492.0   \n",
+       "Francop                                         26568.0   \n",
+       "Neuenfelde                                      22909.0   \n",
+       "Cranz                                           22852.0   \n",
+       "\n",
+       "                    Anteil der Sozial-wohnungen an allen Wohnungen  \\\n",
+       "stadtteil                                                            \n",
+       "Hamburg-Altstadt                                              11.8   \n",
+       "HafenCity                                                     27.6   \n",
+       "Neustadt                                                      12.9   \n",
+       "St. Pauli                                                     12.0   \n",
+       "St. Georg                                                     11.9   \n",
+       "...                                                            ...   \n",
+       "Hausbruch                                                     14.1   \n",
+       "Neugraben-Fischbek                                             7.3   \n",
+       "Francop                                                        0.0   \n",
+       "Neuenfelde                                                    15.2   \n",
+       "Cranz                                                          0.0   \n",
+       "\n",
+       "                    distance_rathaus  \n",
+       "stadtteil                             \n",
+       "Hamburg-Altstadt            0.000000  \n",
+       "HafenCity                   0.005758  \n",
+       "Neustadt                    0.001174  \n",
+       "St. Pauli                   0.009631  \n",
+       "St. Georg                   0.008493  \n",
+       "...                              ...  \n",
+       "Hausbruch                   0.104116  \n",
+       "Neugraben-Fischbek          0.130211  \n",
+       "Francop                     0.114626  \n",
+       "Neuenfelde                  0.162791  \n",
+       "Cranz                       0.200686  \n",
+       "\n",
+       "[99 rows x 11 columns]"
+      ]
+     },
+     "execution_count": 11,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "#---------------------- make the dataframe for final selected variables for weekend market prediction-------------------------\n",
+    "\n",
+    "\n",
+    "# Name of colums for weekend market prediction\n",
+    "columns_weekend = ['market_count','greencrocers_count' , 'supermarkets_count', 'biosupermarkets_count', 'all_restaurants_count', 'organic_restaurants_count',\n",
+    "                     'vegan_restaurants_count', 'Einwohner: innen je km²', 'Gesamtbetrag Einkünfte Median - [€]', 'Anteil der Sozial-wohnungen an allen Wohnungen',\n",
+    "                     'distance_rathaus']\n",
+    "\n",
+    "# Filter merged_df for these columns\n",
+    "final_weekend_df = merged_df[columns_weekend]\n",
+    "\n",
+    "final_weekend_df\n",
+    "\n"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 12,
+   "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></th>\n",
+       "      <th>Correlation Coefficient</th>\n",
+       "      <th>P-Value</th>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>Column 1</th>\n",
+       "      <th>Column 2</th>\n",
+       "      <th></th>\n",
+       "      <th></th>\n",
+       "    </tr>\n",
+       "  </thead>\n",
+       "  <tbody>\n",
+       "    <tr>\n",
+       "      <th rowspan=\"5\" valign=\"top\">market_count</th>\n",
+       "      <th>greencrocers_count</th>\n",
+       "      <td>0.519896</td>\n",
+       "      <td>3.492254e-08</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>supermarkets_count</th>\n",
+       "      <td>0.664395</td>\n",
+       "      <td>6.505037e-14</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>biosupermarkets_count</th>\n",
+       "      <td>0.410297</td>\n",
+       "      <td>2.466621e-05</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>all_restaurants_count</th>\n",
+       "      <td>0.537170</td>\n",
+       "      <td>9.909508e-09</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>organic_restaurants_count</th>\n",
+       "      <td>0.143589</td>\n",
+       "      <td>1.562180e-01</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>...</th>\n",
+       "      <th>...</th>\n",
+       "      <td>...</td>\n",
+       "      <td>...</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th rowspan=\"5\" valign=\"top\">distance_rathaus</th>\n",
+       "      <th>organic_restaurants_count</th>\n",
+       "      <td>-0.331365</td>\n",
+       "      <td>8.070870e-04</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>vegan_restaurants_count</th>\n",
+       "      <td>-0.440689</td>\n",
+       "      <td>4.994682e-06</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>Einwohner: innen je km²</th>\n",
+       "      <td>-0.513015</td>\n",
+       "      <td>5.658125e-08</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>Gesamtbetrag Einkünfte Median - [€]</th>\n",
+       "      <td>0.229323</td>\n",
+       "      <td>2.241430e-02</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>Anteil der Sozial-wohnungen an allen Wohnungen</th>\n",
+       "      <td>-0.132204</td>\n",
+       "      <td>1.920838e-01</td>\n",
+       "    </tr>\n",
+       "  </tbody>\n",
+       "</table>\n",
+       "<p>110 rows × 2 columns</p>\n",
+       "</div>"
+      ],
+      "text/plain": [
+       "                                                                 Correlation Coefficient  \\\n",
+       "Column 1         Column 2                                                                  \n",
+       "market_count     greencrocers_count                                             0.519896   \n",
+       "                 supermarkets_count                                             0.664395   \n",
+       "                 biosupermarkets_count                                          0.410297   \n",
+       "                 all_restaurants_count                                          0.537170   \n",
+       "                 organic_restaurants_count                                      0.143589   \n",
+       "...                                                                                  ...   \n",
+       "distance_rathaus organic_restaurants_count                                     -0.331365   \n",
+       "                 vegan_restaurants_count                                       -0.440689   \n",
+       "                 Einwohner: innen je km²                                       -0.513015   \n",
+       "                 Gesamtbetrag Einkünfte Median - [€]                            0.229323   \n",
+       "                 Anteil der Sozial-wohnungen an allen Wohnungen                -0.132204   \n",
+       "\n",
+       "                                                                      P-Value  \n",
+       "Column 1         Column 2                                                      \n",
+       "market_count     greencrocers_count                              3.492254e-08  \n",
+       "                 supermarkets_count                              6.505037e-14  \n",
+       "                 biosupermarkets_count                           2.466621e-05  \n",
+       "                 all_restaurants_count                           9.909508e-09  \n",
+       "                 organic_restaurants_count                       1.562180e-01  \n",
+       "...                                                                       ...  \n",
+       "distance_rathaus organic_restaurants_count                       8.070870e-04  \n",
+       "                 vegan_restaurants_count                         4.994682e-06  \n",
+       "                 Einwohner: innen je km²                         5.658125e-08  \n",
+       "                 Gesamtbetrag Einkünfte Median - [€]             2.241430e-02  \n",
+       "                 Anteil der Sozial-wohnungen an allen Wohnungen  1.920838e-01  \n",
+       "\n",
+       "[110 rows x 2 columns]"
+      ]
+     },
+     "execution_count": 12,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "#------------------------------------calculate Corr and Pvalue for variables of weekend market prediction--------------------\n",
+    "\n",
+    "# Compute correlation & p-value \n",
+    "weekend_corr_df = calculate_correlation_and_pvalue(final_weekend_df)\n",
+    "weekend_corr_df = weekend_corr_df.set_index([weekend_corr_df.columns[0], weekend_corr_df.columns[1]])\n",
+    "weekend_corr_df"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 13,
+   "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>Variable</th>\n",
+       "      <th>VIF</th>\n",
+       "    </tr>\n",
+       "  </thead>\n",
+       "  <tbody>\n",
+       "    <tr>\n",
+       "      <th>0</th>\n",
+       "      <td>market_count</td>\n",
+       "      <td>4.470712</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>1</th>\n",
+       "      <td>greencrocers_count</td>\n",
+       "      <td>2.770428</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>2</th>\n",
+       "      <td>supermarkets_count</td>\n",
+       "      <td>5.223030</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>3</th>\n",
+       "      <td>biosupermarkets_count</td>\n",
+       "      <td>2.150442</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>4</th>\n",
+       "      <td>all_restaurants_count</td>\n",
+       "      <td>11.962411</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>5</th>\n",
+       "      <td>organic_restaurants_count</td>\n",
+       "      <td>2.391146</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>6</th>\n",
+       "      <td>vegan_restaurants_count</td>\n",
+       "      <td>5.502589</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>7</th>\n",
+       "      <td>Einwohner: innen je km²</td>\n",
+       "      <td>3.581137</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>8</th>\n",
+       "      <td>Gesamtbetrag Einkünfte Median - [€]</td>\n",
+       "      <td>8.177873</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>9</th>\n",
+       "      <td>Anteil der Sozial-wohnungen an allen Wohnungen</td>\n",
+       "      <td>1.452964</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>10</th>\n",
+       "      <td>distance_rathaus</td>\n",
+       "      <td>5.237429</td>\n",
+       "    </tr>\n",
+       "  </tbody>\n",
+       "</table>\n",
+       "</div>"
+      ],
+      "text/plain": [
+       "                                          Variable        VIF\n",
+       "0                                     market_count   4.470712\n",
+       "1                               greencrocers_count   2.770428\n",
+       "2                               supermarkets_count   5.223030\n",
+       "3                            biosupermarkets_count   2.150442\n",
+       "4                            all_restaurants_count  11.962411\n",
+       "5                        organic_restaurants_count   2.391146\n",
+       "6                          vegan_restaurants_count   5.502589\n",
+       "7                          Einwohner: innen je km²   3.581137\n",
+       "8              Gesamtbetrag Einkünfte Median - [€]   8.177873\n",
+       "9   Anteil der Sozial-wohnungen an allen Wohnungen   1.452964\n",
+       "10                                distance_rathaus   5.237429"
+      ]
+     },
+     "execution_count": 13,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "#-------------------------calculate VIF for variables of weekend market prediction-----------------------\n",
+    "\n",
+    "# Compute VIF\n",
+    "weekend_vif_result = calculate_vif(final_weekend_df)\n",
+    "weekend_vif_result"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "Fianl Selected Variables for predicting art_score"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 14,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/html": [
+       "<div>\n",
+       "<style scoped>\n",
+       "    .dataframe tbody tr th:only-of-type {\n",
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+       "\n",
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+       "        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>art_score</th>\n",
+       "      <th>vegan_restaurants_count</th>\n",
+       "      <th>organic_restaurants_count</th>\n",
+       "      <th>Einwohner: innen je km²</th>\n",
+       "      <th>distance_rathaus</th>\n",
+       "      <th>Gesamtbetrag Einkünfte Median - [€]</th>\n",
+       "      <th>Anteil Kinder und Jugendlicher unter 18 Jahren an der Gesamt-bevölkerung</th>\n",
+       "      <th>Anteil älterer Einwohner: innen über 64 Jahren an der Gesamt-bevölkerung</th>\n",
+       "      <th>Durch-schnittliche Wohnfläche je Einwohner:in in m²</th>\n",
+       "      <th>Anteil der Sozial-wohnungen an allen Wohnungen</th>\n",
+       "      <th>Durch-schnittliche Anzahl der Personen je Haushalt</th>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>stadtteil</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>Hamburg-Altstadt</th>\n",
+       "      <td>2.565476</td>\n",
+       "      <td>4</td>\n",
+       "      <td>0</td>\n",
+       "      <td>2447.0</td>\n",
+       "      <td>0.000000</td>\n",
+       "      <td>10811.0</td>\n",
+       "      <td>16.2</td>\n",
+       "      <td>9.9</td>\n",
+       "      <td>34.6</td>\n",
+       "      <td>11.8</td>\n",
+       "      <td>1.7</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>HafenCity</th>\n",
+       "      <td>1.952381</td>\n",
+       "      <td>1</td>\n",
+       "      <td>3</td>\n",
+       "      <td>2865.0</td>\n",
+       "      <td>0.005758</td>\n",
+       "      <td>57913.0</td>\n",
+       "      <td>19.9</td>\n",
+       "      <td>9.3</td>\n",
+       "      <td>45.7</td>\n",
+       "      <td>27.6</td>\n",
+       "      <td>2.2</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>Neustadt</th>\n",
+       "      <td>2.702381</td>\n",
+       "      <td>4</td>\n",
+       "      <td>4</td>\n",
+       "      <td>5592.0</td>\n",
+       "      <td>0.001174</td>\n",
+       "      <td>24715.0</td>\n",
+       "      <td>11.2</td>\n",
+       "      <td>15.2</td>\n",
+       "      <td>38.4</td>\n",
+       "      <td>12.9</td>\n",
+       "      <td>1.5</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>St. Pauli</th>\n",
+       "      <td>1.851190</td>\n",
+       "      <td>2</td>\n",
+       "      <td>1</td>\n",
+       "      <td>9836.0</td>\n",
+       "      <td>0.009631</td>\n",
+       "      <td>19399.0</td>\n",
+       "      <td>13.3</td>\n",
+       "      <td>10.3</td>\n",
+       "      <td>36.9</td>\n",
+       "      <td>12.0</td>\n",
+       "      <td>1.5</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>St. Georg</th>\n",
+       "      <td>2.523810</td>\n",
+       "      <td>4</td>\n",
+       "      <td>2</td>\n",
+       "      <td>6758.0</td>\n",
+       "      <td>0.008493</td>\n",
+       "      <td>27161.0</td>\n",
+       "      <td>11.5</td>\n",
+       "      <td>13.6</td>\n",
+       "      <td>37.2</td>\n",
+       "      <td>11.9</td>\n",
+       "      <td>1.6</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",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>Hausbruch</th>\n",
+       "      <td>0.422619</td>\n",
+       "      <td>0</td>\n",
+       "      <td>0</td>\n",
+       "      <td>1715.0</td>\n",
+       "      <td>0.104116</td>\n",
+       "      <td>21355.0</td>\n",
+       "      <td>18.9</td>\n",
+       "      <td>21.1</td>\n",
+       "      <td>36.9</td>\n",
+       "      <td>14.1</td>\n",
+       "      <td>2.1</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>Neugraben-Fischbek</th>\n",
+       "      <td>1.857143</td>\n",
+       "      <td>0</td>\n",
+       "      <td>0</td>\n",
+       "      <td>1508.0</td>\n",
+       "      <td>0.130211</td>\n",
+       "      <td>22492.0</td>\n",
+       "      <td>22.0</td>\n",
+       "      <td>18.6</td>\n",
+       "      <td>37.8</td>\n",
+       "      <td>7.3</td>\n",
+       "      <td>2.2</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>Francop</th>\n",
+       "      <td>0.000000</td>\n",
+       "      <td>0</td>\n",
+       "      <td>0</td>\n",
+       "      <td>84.0</td>\n",
+       "      <td>0.114626</td>\n",
+       "      <td>26568.0</td>\n",
+       "      <td>16.2</td>\n",
+       "      <td>18.1</td>\n",
+       "      <td>46.4</td>\n",
+       "      <td>0.0</td>\n",
+       "      <td>2.0</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>Neuenfelde</th>\n",
+       "      <td>0.375000</td>\n",
+       "      <td>0</td>\n",
+       "      <td>0</td>\n",
+       "      <td>335.0</td>\n",
+       "      <td>0.162791</td>\n",
+       "      <td>22909.0</td>\n",
+       "      <td>23.9</td>\n",
+       "      <td>14.3</td>\n",
+       "      <td>37.1</td>\n",
+       "      <td>15.2</td>\n",
+       "      <td>2.2</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>Cranz</th>\n",
+       "      <td>0.000000</td>\n",
+       "      <td>0</td>\n",
+       "      <td>0</td>\n",
+       "      <td>608.0</td>\n",
+       "      <td>0.200686</td>\n",
+       "      <td>22852.0</td>\n",
+       "      <td>16.0</td>\n",
+       "      <td>19.0</td>\n",
+       "      <td>43.7</td>\n",
+       "      <td>0.0</td>\n",
+       "      <td>1.8</td>\n",
+       "    </tr>\n",
+       "  </tbody>\n",
+       "</table>\n",
+       "<p>99 rows × 11 columns</p>\n",
+       "</div>"
+      ],
+      "text/plain": [
+       "                    art_score  vegan_restaurants_count  \\\n",
+       "stadtteil                                                \n",
+       "Hamburg-Altstadt     2.565476                        4   \n",
+       "HafenCity            1.952381                        1   \n",
+       "Neustadt             2.702381                        4   \n",
+       "St. Pauli            1.851190                        2   \n",
+       "St. Georg            2.523810                        4   \n",
+       "...                       ...                      ...   \n",
+       "Hausbruch            0.422619                        0   \n",
+       "Neugraben-Fischbek   1.857143                        0   \n",
+       "Francop              0.000000                        0   \n",
+       "Neuenfelde           0.375000                        0   \n",
+       "Cranz                0.000000                        0   \n",
+       "\n",
+       "                    organic_restaurants_count  Einwohner: innen je km²  \\\n",
+       "stadtteil                                                                \n",
+       "Hamburg-Altstadt                            0                   2447.0   \n",
+       "HafenCity                                   3                   2865.0   \n",
+       "Neustadt                                    4                   5592.0   \n",
+       "St. Pauli                                   1                   9836.0   \n",
+       "St. Georg                                   2                   6758.0   \n",
+       "...                                       ...                      ...   \n",
+       "Hausbruch                                   0                   1715.0   \n",
+       "Neugraben-Fischbek                          0                   1508.0   \n",
+       "Francop                                     0                     84.0   \n",
+       "Neuenfelde                                  0                    335.0   \n",
+       "Cranz                                       0                    608.0   \n",
+       "\n",
+       "                    distance_rathaus  Gesamtbetrag Einkünfte Median - [€]  \\\n",
+       "stadtteil                                                                   \n",
+       "Hamburg-Altstadt            0.000000                              10811.0   \n",
+       "HafenCity                   0.005758                              57913.0   \n",
+       "Neustadt                    0.001174                              24715.0   \n",
+       "St. Pauli                   0.009631                              19399.0   \n",
+       "St. Georg                   0.008493                              27161.0   \n",
+       "...                              ...                                  ...   \n",
+       "Hausbruch                   0.104116                              21355.0   \n",
+       "Neugraben-Fischbek          0.130211                              22492.0   \n",
+       "Francop                     0.114626                              26568.0   \n",
+       "Neuenfelde                  0.162791                              22909.0   \n",
+       "Cranz                       0.200686                              22852.0   \n",
+       "\n",
+       "                    Anteil Kinder und Jugendlicher unter 18 Jahren an der Gesamt-bevölkerung  \\\n",
+       "stadtteil                                                                                      \n",
+       "Hamburg-Altstadt                                                 16.2                          \n",
+       "HafenCity                                                        19.9                          \n",
+       "Neustadt                                                         11.2                          \n",
+       "St. Pauli                                                        13.3                          \n",
+       "St. Georg                                                        11.5                          \n",
+       "...                                                               ...                          \n",
+       "Hausbruch                                                        18.9                          \n",
+       "Neugraben-Fischbek                                               22.0                          \n",
+       "Francop                                                          16.2                          \n",
+       "Neuenfelde                                                       23.9                          \n",
+       "Cranz                                                            16.0                          \n",
+       "\n",
+       "                    Anteil älterer Einwohner: innen über 64 Jahren an der Gesamt-bevölkerung  \\\n",
+       "stadtteil                                                                                      \n",
+       "Hamburg-Altstadt                                                  9.9                          \n",
+       "HafenCity                                                         9.3                          \n",
+       "Neustadt                                                         15.2                          \n",
+       "St. Pauli                                                        10.3                          \n",
+       "St. Georg                                                        13.6                          \n",
+       "...                                                               ...                          \n",
+       "Hausbruch                                                        21.1                          \n",
+       "Neugraben-Fischbek                                               18.6                          \n",
+       "Francop                                                          18.1                          \n",
+       "Neuenfelde                                                       14.3                          \n",
+       "Cranz                                                            19.0                          \n",
+       "\n",
+       "                    Durch-schnittliche Wohnfläche je Einwohner:in in m²  \\\n",
+       "stadtteil                                                                 \n",
+       "Hamburg-Altstadt                                                 34.6     \n",
+       "HafenCity                                                        45.7     \n",
+       "Neustadt                                                         38.4     \n",
+       "St. Pauli                                                        36.9     \n",
+       "St. Georg                                                        37.2     \n",
+       "...                                                               ...     \n",
+       "Hausbruch                                                        36.9     \n",
+       "Neugraben-Fischbek                                               37.8     \n",
+       "Francop                                                          46.4     \n",
+       "Neuenfelde                                                       37.1     \n",
+       "Cranz                                                            43.7     \n",
+       "\n",
+       "                    Anteil der Sozial-wohnungen an allen Wohnungen  \\\n",
+       "stadtteil                                                            \n",
+       "Hamburg-Altstadt                                              11.8   \n",
+       "HafenCity                                                     27.6   \n",
+       "Neustadt                                                      12.9   \n",
+       "St. Pauli                                                     12.0   \n",
+       "St. Georg                                                     11.9   \n",
+       "...                                                            ...   \n",
+       "Hausbruch                                                     14.1   \n",
+       "Neugraben-Fischbek                                             7.3   \n",
+       "Francop                                                        0.0   \n",
+       "Neuenfelde                                                    15.2   \n",
+       "Cranz                                                          0.0   \n",
+       "\n",
+       "                    Durch-schnittliche Anzahl der Personen je Haushalt  \n",
+       "stadtteil                                                               \n",
+       "Hamburg-Altstadt                                                  1.7   \n",
+       "HafenCity                                                         2.2   \n",
+       "Neustadt                                                          1.5   \n",
+       "St. Pauli                                                         1.5   \n",
+       "St. Georg                                                         1.6   \n",
+       "...                                                               ...   \n",
+       "Hausbruch                                                         2.1   \n",
+       "Neugraben-Fischbek                                                2.2   \n",
+       "Francop                                                           2.0   \n",
+       "Neuenfelde                                                        2.2   \n",
+       "Cranz                                                             1.8   \n",
+       "\n",
+       "[99 rows x 11 columns]"
+      ]
+     },
+     "execution_count": 14,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "#---------------------- make the dataframe for final selected variables for art_score prediction-------------------------\n",
+    "\n",
+    "\n",
+    "# Name of colums for weekend market prediction\n",
+    "columns_art_score = ['art_score', 'vegan_restaurants_count', 'organic_restaurants_count', 'Einwohner: innen je km²', 'distance_rathaus',\n",
+    "                     'Gesamtbetrag Einkünfte Median - [€]', 'Anteil Kinder und Jugendlicher unter 18 Jahren an der Gesamt-bevölkerung',\n",
+    "                     'Anteil älterer Einwohner: innen über 64 Jahren an der Gesamt-bevölkerung', 'Durch-schnittliche Wohnfläche je Einwohner:in in m²',\n",
+    "                     'Anteil der Sozial-wohnungen an allen Wohnungen', 'Durch-schnittliche Anzahl der Personen je Haushalt']\n",
+    "\n",
+    "# Filter merged_df for these columns\n",
+    "final_art_score_df = merged_df[columns_art_score]\n",
+    "\n",
+    "final_art_score_df\n"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 15,
+   "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></th>\n",
+       "      <th>Correlation Coefficient</th>\n",
+       "      <th>P-Value</th>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>Column 1</th>\n",
+       "      <th>Column 2</th>\n",
+       "      <th></th>\n",
+       "      <th></th>\n",
+       "    </tr>\n",
+       "  </thead>\n",
+       "  <tbody>\n",
+       "    <tr>\n",
+       "      <th rowspan=\"5\" valign=\"top\">art_score</th>\n",
+       "      <th>vegan_restaurants_count</th>\n",
+       "      <td>0.447469</td>\n",
+       "      <td>3.423501e-06</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>organic_restaurants_count</th>\n",
+       "      <td>0.327277</td>\n",
+       "      <td>9.444683e-04</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>Einwohner: innen je km²</th>\n",
+       "      <td>0.459954</td>\n",
+       "      <td>1.671102e-06</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>distance_rathaus</th>\n",
+       "      <td>-0.301427</td>\n",
+       "      <td>2.430041e-03</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>Gesamtbetrag Einkünfte Median - [€]</th>\n",
+       "      <td>0.022767</td>\n",
+       "      <td>8.230083e-01</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>...</th>\n",
+       "      <th>...</th>\n",
+       "      <td>...</td>\n",
+       "      <td>...</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th rowspan=\"5\" valign=\"top\">Durch-schnittliche Anzahl der Personen je Haushalt</th>\n",
+       "      <th>Gesamtbetrag Einkünfte Median - [€]</th>\n",
+       "      <td>0.333351</td>\n",
+       "      <td>7.471834e-04</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>Anteil Kinder und Jugendlicher unter 18 Jahren an der Gesamt-bevölkerung</th>\n",
+       "      <td>0.782907</td>\n",
+       "      <td>1.042553e-21</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>Anteil älterer Einwohner: innen über 64 Jahren an der Gesamt-bevölkerung</th>\n",
+       "      <td>0.483606</td>\n",
+       "      <td>3.963795e-07</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>Durch-schnittliche Wohnfläche je Einwohner:in in m²</th>\n",
+       "      <td>0.336097</td>\n",
+       "      <td>6.710017e-04</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>Anteil der Sozial-wohnungen an allen Wohnungen</th>\n",
+       "      <td>0.087142</td>\n",
+       "      <td>3.910735e-01</td>\n",
+       "    </tr>\n",
+       "  </tbody>\n",
+       "</table>\n",
+       "<p>110 rows × 2 columns</p>\n",
+       "</div>"
+      ],
+      "text/plain": [
+       "                                                                                                       Correlation Coefficient  \\\n",
+       "Column 1                                           Column 2                                                                      \n",
+       "art_score                                          vegan_restaurants_count                                            0.447469   \n",
+       "                                                   organic_restaurants_count                                          0.327277   \n",
+       "                                                   Einwohner: innen je km²                                            0.459954   \n",
+       "                                                   distance_rathaus                                                  -0.301427   \n",
+       "                                                   Gesamtbetrag Einkünfte Median - [€]                                0.022767   \n",
+       "...                                                                                                                        ...   \n",
+       "Durch-schnittliche Anzahl der Personen je Haushalt Gesamtbetrag Einkünfte Median - [€]                                0.333351   \n",
+       "                                                   Anteil Kinder und Jugendlicher unter 18 Jahren ...                 0.782907   \n",
+       "                                                   Anteil älterer Einwohner: innen über 64 Jahren ...                 0.483606   \n",
+       "                                                   Durch-schnittliche Wohnfläche je Einwohner:in i...                 0.336097   \n",
+       "                                                   Anteil der Sozial-wohnungen an allen Wohnungen                     0.087142   \n",
+       "\n",
+       "                                                                                                            P-Value  \n",
+       "Column 1                                           Column 2                                                          \n",
+       "art_score                                          vegan_restaurants_count                             3.423501e-06  \n",
+       "                                                   organic_restaurants_count                           9.444683e-04  \n",
+       "                                                   Einwohner: innen je km²                             1.671102e-06  \n",
+       "                                                   distance_rathaus                                    2.430041e-03  \n",
+       "                                                   Gesamtbetrag Einkünfte Median - [€]                 8.230083e-01  \n",
+       "...                                                                                                             ...  \n",
+       "Durch-schnittliche Anzahl der Personen je Haushalt Gesamtbetrag Einkünfte Median - [€]                 7.471834e-04  \n",
+       "                                                   Anteil Kinder und Jugendlicher unter 18 Jahren ...  1.042553e-21  \n",
+       "                                                   Anteil älterer Einwohner: innen über 64 Jahren ...  3.963795e-07  \n",
+       "                                                   Durch-schnittliche Wohnfläche je Einwohner:in i...  6.710017e-04  \n",
+       "                                                   Anteil der Sozial-wohnungen an allen Wohnungen      3.910735e-01  \n",
+       "\n",
+       "[110 rows x 2 columns]"
+      ]
+     },
+     "execution_count": 15,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "#------------------------------------calculate Corr and Pvalue for variables of art_score prediction--------------------\n",
+    "\n",
+    "# Compute correlation & p-value \n",
+    "art_score_corr_df = calculate_correlation_and_pvalue(final_art_score_df)\n",
+    "art_score_corr_df = art_score_corr_df.set_index([art_score_corr_df.columns[0], art_score_corr_df.columns[1]])\n",
+    "art_score_corr_df"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 16,
+   "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>Variable</th>\n",
+       "      <th>VIF</th>\n",
+       "    </tr>\n",
+       "  </thead>\n",
+       "  <tbody>\n",
+       "    <tr>\n",
+       "      <th>0</th>\n",
+       "      <td>art_score</td>\n",
+       "      <td>2.730099</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>1</th>\n",
+       "      <td>vegan_restaurants_count</td>\n",
+       "      <td>2.074623</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>2</th>\n",
+       "      <td>organic_restaurants_count</td>\n",
+       "      <td>1.796149</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>3</th>\n",
+       "      <td>Einwohner: innen je km²</td>\n",
+       "      <td>2.972563</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>4</th>\n",
+       "      <td>distance_rathaus</td>\n",
+       "      <td>7.462578</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>5</th>\n",
+       "      <td>Gesamtbetrag Einkünfte Median - [€]</td>\n",
+       "      <td>47.796667</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>6</th>\n",
+       "      <td>Anteil Kinder und Jugendlicher unter 18 Jahren...</td>\n",
+       "      <td>116.132614</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>7</th>\n",
+       "      <td>Anteil älterer Einwohner: innen über 64 Jahren...</td>\n",
+       "      <td>34.191178</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>8</th>\n",
+       "      <td>Durch-schnittliche Wohnfläche je Einwohner:in ...</td>\n",
+       "      <td>196.419521</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>9</th>\n",
+       "      <td>Anteil der Sozial-wohnungen an allen Wohnungen</td>\n",
+       "      <td>2.620196</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>10</th>\n",
+       "      <td>Durch-schnittliche Anzahl der Personen je Haus...</td>\n",
+       "      <td>322.273322</td>\n",
+       "    </tr>\n",
+       "  </tbody>\n",
+       "</table>\n",
+       "</div>"
+      ],
+      "text/plain": [
+       "                                             Variable         VIF\n",
+       "0                                           art_score    2.730099\n",
+       "1                             vegan_restaurants_count    2.074623\n",
+       "2                           organic_restaurants_count    1.796149\n",
+       "3                             Einwohner: innen je km²    2.972563\n",
+       "4                                    distance_rathaus    7.462578\n",
+       "5                 Gesamtbetrag Einkünfte Median - [€]   47.796667\n",
+       "6   Anteil Kinder und Jugendlicher unter 18 Jahren...  116.132614\n",
+       "7   Anteil älterer Einwohner: innen über 64 Jahren...   34.191178\n",
+       "8   Durch-schnittliche Wohnfläche je Einwohner:in ...  196.419521\n",
+       "9      Anteil der Sozial-wohnungen an allen Wohnungen    2.620196\n",
+       "10  Durch-schnittliche Anzahl der Personen je Haus...  322.273322"
+      ]
+     },
+     "execution_count": 16,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "#-------------------------calculate VIF for variables of art_score prediction-----------------------\n",
+    "\n",
+    "# Compute VIF\n",
+    "art_score_vif_result = calculate_vif(final_art_score_df)\n",
+    "art_score_vif_result"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "Making the result in an excel file"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 21,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "#-------------------------- making the reult in one excel file--------------------------------------\n",
+    "#excel_file_path = 'Final_correlation_pvalue_VIF_with_count_per_stadtteil(99)_distance_to_rathaus.xlsx'\n",
+    "\n",
+    "#with pd.ExcelWriter(excel_file_path, engine='xlsxwriter') as writer:\n",
+    "    ##each dataframe in different sheet\n",
+    "    #corr_df.to_excel(writer, sheet_name='All_var_Corr_Pvalue', index=True)\n",
+    "    #vif_result.to_excel(writer, sheet_name='All_var_VIF', index=False)\n",
+    "    #weekend_corr_df.to_excel(writer, sheet_name='Weekend_Var_Corr_Pvalue', index=True)\n",
+    "    #weekend_vif_result.to_excel(writer, sheet_name='Weekend_Var_VIF', index=False)\n",
+    "    #art_score_corr_df.to_excel(writer, sheet_name='art_score_Var_Corr_Pvalue', index=True)\n",
+    "    #art_score_vif_result.to_excel(writer, sheet_name='art_score_Var_VIF', index=False)\n",
+    "    \n",
+    "    "
+   ]
+  }
+ ],
+ "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": "3.9.7"
+  }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 2
+}