diff --git a/kaggle_house_prices/.ipynb_checkpoints/NeuralNetwork-checkpoint.ipynb b/kaggle_house_prices/.ipynb_checkpoints/NeuralNetwork-checkpoint.ipynb
new file mode 100644
index 0000000..9e4ebf6
--- /dev/null
+++ b/kaggle_house_prices/.ipynb_checkpoints/NeuralNetwork-checkpoint.ipynb
@@ -0,0 +1,1094 @@
+{
+ "cells": [
+  {
+   "cell_type": "code",
+   "execution_count": 8,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "Using TensorFlow backend.\n"
+     ]
+    }
+   ],
+   "source": [
+    "import pandas as pd\n",
+    "import numpy as np\n",
+    "import os\n",
+    "from math import sqrt\n",
+    "from sklearn.metrics import mean_squared_error\n",
+    "from sklearn.metrics import mean_absolute_error\n",
+    "import tensorflow as tf\n",
+    "import keras"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 2,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "train = pd.read_csv(os.path.join('data', 'clean_train.csv'))\n",
+    "test = pd.read_csv(os.path.join('data', 'clean_test.csv'))"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 3,
+   "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>Unnamed: 0</th>\n",
+       "      <th>PCA0</th>\n",
+       "      <th>PCA1</th>\n",
+       "      <th>PCA2</th>\n",
+       "      <th>PCA3</th>\n",
+       "      <th>PCA4</th>\n",
+       "      <th>PCA5</th>\n",
+       "      <th>PCA6</th>\n",
+       "      <th>PCA7</th>\n",
+       "      <th>PCA8</th>\n",
+       "      <th>...</th>\n",
+       "      <th>PCA164</th>\n",
+       "      <th>PCA165</th>\n",
+       "      <th>PCA166</th>\n",
+       "      <th>PCA167</th>\n",
+       "      <th>PCA168</th>\n",
+       "      <th>PCA169</th>\n",
+       "      <th>PCA170</th>\n",
+       "      <th>PCA171</th>\n",
+       "      <th>Id</th>\n",
+       "      <th>SalePrice</th>\n",
+       "    </tr>\n",
+       "  </thead>\n",
+       "  <tbody>\n",
+       "    <tr>\n",
+       "      <td>0</td>\n",
+       "      <td>0</td>\n",
+       "      <td>4.345109</td>\n",
+       "      <td>1.619386</td>\n",
+       "      <td>-0.739617</td>\n",
+       "      <td>-2.080179</td>\n",
+       "      <td>-0.985088</td>\n",
+       "      <td>1.999117</td>\n",
+       "      <td>-1.231870</td>\n",
+       "      <td>-0.131782</td>\n",
+       "      <td>1.316470</td>\n",
+       "      <td>...</td>\n",
+       "      <td>0.160733</td>\n",
+       "      <td>0.071333</td>\n",
+       "      <td>0.155468</td>\n",
+       "      <td>0.172801</td>\n",
+       "      <td>-0.169568</td>\n",
+       "      <td>-0.144326</td>\n",
+       "      <td>0.391713</td>\n",
+       "      <td>-0.013357</td>\n",
+       "      <td>1</td>\n",
+       "      <td>208500</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <td>1</td>\n",
+       "      <td>1</td>\n",
+       "      <td>0.019142</td>\n",
+       "      <td>-3.106959</td>\n",
+       "      <td>0.168223</td>\n",
+       "      <td>-0.553341</td>\n",
+       "      <td>0.940712</td>\n",
+       "      <td>0.200719</td>\n",
+       "      <td>-0.468954</td>\n",
+       "      <td>0.235082</td>\n",
+       "      <td>-0.838022</td>\n",
+       "      <td>...</td>\n",
+       "      <td>-1.063234</td>\n",
+       "      <td>-0.334556</td>\n",
+       "      <td>0.361166</td>\n",
+       "      <td>-1.218397</td>\n",
+       "      <td>-0.346191</td>\n",
+       "      <td>-0.962753</td>\n",
+       "      <td>-0.138863</td>\n",
+       "      <td>1.083103</td>\n",
+       "      <td>2</td>\n",
+       "      <td>181500</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <td>2</td>\n",
+       "      <td>2</td>\n",
+       "      <td>4.851149</td>\n",
+       "      <td>1.242811</td>\n",
+       "      <td>-0.351815</td>\n",
+       "      <td>-1.484957</td>\n",
+       "      <td>-0.758200</td>\n",
+       "      <td>2.181179</td>\n",
+       "      <td>-1.843949</td>\n",
+       "      <td>0.296194</td>\n",
+       "      <td>1.299142</td>\n",
+       "      <td>...</td>\n",
+       "      <td>0.088334</td>\n",
+       "      <td>0.238624</td>\n",
+       "      <td>0.327280</td>\n",
+       "      <td>0.325285</td>\n",
+       "      <td>-0.704900</td>\n",
+       "      <td>-0.036388</td>\n",
+       "      <td>-0.540516</td>\n",
+       "      <td>0.021711</td>\n",
+       "      <td>3</td>\n",
+       "      <td>223500</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <td>3</td>\n",
+       "      <td>3</td>\n",
+       "      <td>-1.771641</td>\n",
+       "      <td>0.039500</td>\n",
+       "      <td>-1.358623</td>\n",
+       "      <td>1.920760</td>\n",
+       "      <td>-2.550817</td>\n",
+       "      <td>0.209519</td>\n",
+       "      <td>-0.756387</td>\n",
+       "      <td>0.700109</td>\n",
+       "      <td>-1.408543</td>\n",
+       "      <td>...</td>\n",
+       "      <td>-0.172186</td>\n",
+       "      <td>-0.518922</td>\n",
+       "      <td>0.231498</td>\n",
+       "      <td>-0.074296</td>\n",
+       "      <td>-0.034287</td>\n",
+       "      <td>-0.877735</td>\n",
+       "      <td>0.028065</td>\n",
+       "      <td>-0.321009</td>\n",
+       "      <td>4</td>\n",
+       "      <td>140000</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <td>4</td>\n",
+       "      <td>4</td>\n",
+       "      <td>6.463747</td>\n",
+       "      <td>1.064473</td>\n",
+       "      <td>0.209472</td>\n",
+       "      <td>0.448906</td>\n",
+       "      <td>-1.555301</td>\n",
+       "      <td>3.215822</td>\n",
+       "      <td>-0.946356</td>\n",
+       "      <td>-0.805204</td>\n",
+       "      <td>2.112526</td>\n",
+       "      <td>...</td>\n",
+       "      <td>-0.270189</td>\n",
+       "      <td>0.375297</td>\n",
+       "      <td>-0.396732</td>\n",
+       "      <td>-0.109084</td>\n",
+       "      <td>0.317305</td>\n",
+       "      <td>-0.145975</td>\n",
+       "      <td>-0.674692</td>\n",
+       "      <td>-0.378458</td>\n",
+       "      <td>5</td>\n",
+       "      <td>250000</td>\n",
+       "    </tr>\n",
+       "  </tbody>\n",
+       "</table>\n",
+       "<p>5 rows × 175 columns</p>\n",
+       "</div>"
+      ],
+      "text/plain": [
+       "   Unnamed: 0      PCA0      PCA1      PCA2      PCA3      PCA4      PCA5  \\\n",
+       "0           0  4.345109  1.619386 -0.739617 -2.080179 -0.985088  1.999117   \n",
+       "1           1  0.019142 -3.106959  0.168223 -0.553341  0.940712  0.200719   \n",
+       "2           2  4.851149  1.242811 -0.351815 -1.484957 -0.758200  2.181179   \n",
+       "3           3 -1.771641  0.039500 -1.358623  1.920760 -2.550817  0.209519   \n",
+       "4           4  6.463747  1.064473  0.209472  0.448906 -1.555301  3.215822   \n",
+       "\n",
+       "       PCA6      PCA7      PCA8  ...    PCA164    PCA165    PCA166    PCA167  \\\n",
+       "0 -1.231870 -0.131782  1.316470  ...  0.160733  0.071333  0.155468  0.172801   \n",
+       "1 -0.468954  0.235082 -0.838022  ... -1.063234 -0.334556  0.361166 -1.218397   \n",
+       "2 -1.843949  0.296194  1.299142  ...  0.088334  0.238624  0.327280  0.325285   \n",
+       "3 -0.756387  0.700109 -1.408543  ... -0.172186 -0.518922  0.231498 -0.074296   \n",
+       "4 -0.946356 -0.805204  2.112526  ... -0.270189  0.375297 -0.396732 -0.109084   \n",
+       "\n",
+       "     PCA168    PCA169    PCA170    PCA171  Id  SalePrice  \n",
+       "0 -0.169568 -0.144326  0.391713 -0.013357   1     208500  \n",
+       "1 -0.346191 -0.962753 -0.138863  1.083103   2     181500  \n",
+       "2 -0.704900 -0.036388 -0.540516  0.021711   3     223500  \n",
+       "3 -0.034287 -0.877735  0.028065 -0.321009   4     140000  \n",
+       "4  0.317305 -0.145975 -0.674692 -0.378458   5     250000  \n",
+       "\n",
+       "[5 rows x 175 columns]"
+      ]
+     },
+     "execution_count": 3,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "train.head()"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 4,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/html": [
+       "<div>\n",
+       "<style scoped>\n",
+       "    .dataframe tbody tr th:only-of-type {\n",
+       "        vertical-align: middle;\n",
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+       "\n",
+       "    .dataframe tbody tr th {\n",
+       "        vertical-align: top;\n",
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+       "\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>Unnamed: 0</th>\n",
+       "      <th>PCA0</th>\n",
+       "      <th>PCA1</th>\n",
+       "      <th>PCA2</th>\n",
+       "      <th>PCA3</th>\n",
+       "      <th>PCA4</th>\n",
+       "      <th>PCA5</th>\n",
+       "      <th>PCA6</th>\n",
+       "      <th>PCA7</th>\n",
+       "      <th>PCA8</th>\n",
+       "      <th>...</th>\n",
+       "      <th>PCA163</th>\n",
+       "      <th>PCA164</th>\n",
+       "      <th>PCA165</th>\n",
+       "      <th>PCA166</th>\n",
+       "      <th>PCA167</th>\n",
+       "      <th>PCA168</th>\n",
+       "      <th>PCA169</th>\n",
+       "      <th>PCA170</th>\n",
+       "      <th>PCA171</th>\n",
+       "      <th>Id</th>\n",
+       "    </tr>\n",
+       "  </thead>\n",
+       "  <tbody>\n",
+       "    <tr>\n",
+       "      <td>0</td>\n",
+       "      <td>0</td>\n",
+       "      <td>-3.208086</td>\n",
+       "      <td>-2.987338</td>\n",
+       "      <td>-0.327066</td>\n",
+       "      <td>-1.609206</td>\n",
+       "      <td>0.016879</td>\n",
+       "      <td>-1.514939</td>\n",
+       "      <td>-0.417889</td>\n",
+       "      <td>-0.988173</td>\n",
+       "      <td>-0.653363</td>\n",
+       "      <td>...</td>\n",
+       "      <td>-0.027364</td>\n",
+       "      <td>0.653222</td>\n",
+       "      <td>-0.201973</td>\n",
+       "      <td>-0.769946</td>\n",
+       "      <td>-0.344834</td>\n",
+       "      <td>0.514257</td>\n",
+       "      <td>1.114106</td>\n",
+       "      <td>0.337765</td>\n",
+       "      <td>-0.639617</td>\n",
+       "      <td>1461</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <td>1</td>\n",
+       "      <td>1</td>\n",
+       "      <td>-1.403753</td>\n",
+       "      <td>-4.261851</td>\n",
+       "      <td>0.107527</td>\n",
+       "      <td>0.935981</td>\n",
+       "      <td>0.165777</td>\n",
+       "      <td>-0.299485</td>\n",
+       "      <td>-0.524918</td>\n",
+       "      <td>-2.332121</td>\n",
+       "      <td>0.031044</td>\n",
+       "      <td>...</td>\n",
+       "      <td>3.856117</td>\n",
+       "      <td>0.787996</td>\n",
+       "      <td>0.215221</td>\n",
+       "      <td>0.458275</td>\n",
+       "      <td>1.135109</td>\n",
+       "      <td>0.378972</td>\n",
+       "      <td>0.953559</td>\n",
+       "      <td>-1.008240</td>\n",
+       "      <td>4.445435</td>\n",
+       "      <td>1462</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <td>2</td>\n",
+       "      <td>2</td>\n",
+       "      <td>2.257002</td>\n",
+       "      <td>0.427951</td>\n",
+       "      <td>-0.610464</td>\n",
+       "      <td>-1.301125</td>\n",
+       "      <td>-1.058327</td>\n",
+       "      <td>2.674177</td>\n",
+       "      <td>-1.500824</td>\n",
+       "      <td>-0.223999</td>\n",
+       "      <td>0.403440</td>\n",
+       "      <td>...</td>\n",
+       "      <td>-0.117138</td>\n",
+       "      <td>-0.378473</td>\n",
+       "      <td>-0.031613</td>\n",
+       "      <td>0.090593</td>\n",
+       "      <td>-0.173914</td>\n",
+       "      <td>-0.150098</td>\n",
+       "      <td>-0.006612</td>\n",
+       "      <td>0.190780</td>\n",
+       "      <td>-0.152486</td>\n",
+       "      <td>1463</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <td>3</td>\n",
+       "      <td>3</td>\n",
+       "      <td>3.253618</td>\n",
+       "      <td>0.537318</td>\n",
+       "      <td>-0.796079</td>\n",
+       "      <td>-0.851716</td>\n",
+       "      <td>-1.209643</td>\n",
+       "      <td>2.388795</td>\n",
+       "      <td>-1.340676</td>\n",
+       "      <td>-0.876322</td>\n",
+       "      <td>0.421183</td>\n",
+       "      <td>...</td>\n",
+       "      <td>-0.441586</td>\n",
+       "      <td>0.020066</td>\n",
+       "      <td>-0.151709</td>\n",
+       "      <td>0.444826</td>\n",
+       "      <td>0.008218</td>\n",
+       "      <td>-0.161705</td>\n",
+       "      <td>-0.453482</td>\n",
+       "      <td>0.472352</td>\n",
+       "      <td>0.046141</td>\n",
+       "      <td>1464</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <td>4</td>\n",
+       "      <td>4</td>\n",
+       "      <td>2.876409</td>\n",
+       "      <td>-0.075909</td>\n",
+       "      <td>-0.154959</td>\n",
+       "      <td>-2.469870</td>\n",
+       "      <td>1.407820</td>\n",
+       "      <td>0.487532</td>\n",
+       "      <td>0.072190</td>\n",
+       "      <td>2.414446</td>\n",
+       "      <td>1.667224</td>\n",
+       "      <td>...</td>\n",
+       "      <td>0.269062</td>\n",
+       "      <td>0.651172</td>\n",
+       "      <td>-0.050461</td>\n",
+       "      <td>-0.526448</td>\n",
+       "      <td>-0.843701</td>\n",
+       "      <td>0.574770</td>\n",
+       "      <td>-0.227828</td>\n",
+       "      <td>1.071423</td>\n",
+       "      <td>1.362638</td>\n",
+       "      <td>1465</td>\n",
+       "    </tr>\n",
+       "  </tbody>\n",
+       "</table>\n",
+       "<p>5 rows × 174 columns</p>\n",
+       "</div>"
+      ],
+      "text/plain": [
+       "   Unnamed: 0      PCA0      PCA1      PCA2      PCA3      PCA4      PCA5  \\\n",
+       "0           0 -3.208086 -2.987338 -0.327066 -1.609206  0.016879 -1.514939   \n",
+       "1           1 -1.403753 -4.261851  0.107527  0.935981  0.165777 -0.299485   \n",
+       "2           2  2.257002  0.427951 -0.610464 -1.301125 -1.058327  2.674177   \n",
+       "3           3  3.253618  0.537318 -0.796079 -0.851716 -1.209643  2.388795   \n",
+       "4           4  2.876409 -0.075909 -0.154959 -2.469870  1.407820  0.487532   \n",
+       "\n",
+       "       PCA6      PCA7      PCA8  ...    PCA163    PCA164    PCA165    PCA166  \\\n",
+       "0 -0.417889 -0.988173 -0.653363  ... -0.027364  0.653222 -0.201973 -0.769946   \n",
+       "1 -0.524918 -2.332121  0.031044  ...  3.856117  0.787996  0.215221  0.458275   \n",
+       "2 -1.500824 -0.223999  0.403440  ... -0.117138 -0.378473 -0.031613  0.090593   \n",
+       "3 -1.340676 -0.876322  0.421183  ... -0.441586  0.020066 -0.151709  0.444826   \n",
+       "4  0.072190  2.414446  1.667224  ...  0.269062  0.651172 -0.050461 -0.526448   \n",
+       "\n",
+       "     PCA167    PCA168    PCA169    PCA170    PCA171    Id  \n",
+       "0 -0.344834  0.514257  1.114106  0.337765 -0.639617  1461  \n",
+       "1  1.135109  0.378972  0.953559 -1.008240  4.445435  1462  \n",
+       "2 -0.173914 -0.150098 -0.006612  0.190780 -0.152486  1463  \n",
+       "3  0.008218 -0.161705 -0.453482  0.472352  0.046141  1464  \n",
+       "4 -0.843701  0.574770 -0.227828  1.071423  1.362638  1465  \n",
+       "\n",
+       "[5 rows x 174 columns]"
+      ]
+     },
+     "execution_count": 4,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "test.head()"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 5,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "# Set aside unnecessary features\n",
+    "\n",
+    "trainId = train['Id'].astype(int)\n",
+    "testId = test['Id'].astype(int)\n",
+    "\n",
+    "train = train.drop('Id', axis=1)\n",
+    "test = test.drop('Id', axis=1)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 6,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "X = train.drop('SalePrice', axis=1)\n",
+    "y = train['SalePrice']\n",
+    "X_test = test"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 7,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "0       208500\n",
+      "1       181500\n",
+      "2       223500\n",
+      "3       140000\n",
+      "4       250000\n",
+      "         ...  \n",
+      "1455    175000\n",
+      "1456    210000\n",
+      "1457    266500\n",
+      "1458    142125\n",
+      "1459    147500\n",
+      "Name: SalePrice, Length: 1460, dtype: int64\n",
+      "(1460, 173)\n",
+      "(1459, 173)\n"
+     ]
+    },
+    {
+     "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>Unnamed: 0</th>\n",
+       "      <th>PCA0</th>\n",
+       "      <th>PCA1</th>\n",
+       "      <th>PCA2</th>\n",
+       "      <th>PCA3</th>\n",
+       "      <th>PCA4</th>\n",
+       "      <th>PCA5</th>\n",
+       "      <th>PCA6</th>\n",
+       "      <th>PCA7</th>\n",
+       "      <th>PCA8</th>\n",
+       "      <th>...</th>\n",
+       "      <th>PCA162</th>\n",
+       "      <th>PCA163</th>\n",
+       "      <th>PCA164</th>\n",
+       "      <th>PCA165</th>\n",
+       "      <th>PCA166</th>\n",
+       "      <th>PCA167</th>\n",
+       "      <th>PCA168</th>\n",
+       "      <th>PCA169</th>\n",
+       "      <th>PCA170</th>\n",
+       "      <th>PCA171</th>\n",
+       "    </tr>\n",
+       "  </thead>\n",
+       "  <tbody>\n",
+       "    <tr>\n",
+       "      <td>0</td>\n",
+       "      <td>0</td>\n",
+       "      <td>4.345109</td>\n",
+       "      <td>1.619386</td>\n",
+       "      <td>-0.739617</td>\n",
+       "      <td>-2.080179</td>\n",
+       "      <td>-0.985088</td>\n",
+       "      <td>1.999117</td>\n",
+       "      <td>-1.231870</td>\n",
+       "      <td>-0.131782</td>\n",
+       "      <td>1.316470</td>\n",
+       "      <td>...</td>\n",
+       "      <td>-0.276936</td>\n",
+       "      <td>-0.128260</td>\n",
+       "      <td>0.160733</td>\n",
+       "      <td>0.071333</td>\n",
+       "      <td>0.155468</td>\n",
+       "      <td>0.172801</td>\n",
+       "      <td>-0.169568</td>\n",
+       "      <td>-0.144326</td>\n",
+       "      <td>0.391713</td>\n",
+       "      <td>-0.013357</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <td>1</td>\n",
+       "      <td>1</td>\n",
+       "      <td>0.019142</td>\n",
+       "      <td>-3.106959</td>\n",
+       "      <td>0.168223</td>\n",
+       "      <td>-0.553341</td>\n",
+       "      <td>0.940712</td>\n",
+       "      <td>0.200719</td>\n",
+       "      <td>-0.468954</td>\n",
+       "      <td>0.235082</td>\n",
+       "      <td>-0.838022</td>\n",
+       "      <td>...</td>\n",
+       "      <td>0.140974</td>\n",
+       "      <td>-0.224535</td>\n",
+       "      <td>-1.063234</td>\n",
+       "      <td>-0.334556</td>\n",
+       "      <td>0.361166</td>\n",
+       "      <td>-1.218397</td>\n",
+       "      <td>-0.346191</td>\n",
+       "      <td>-0.962753</td>\n",
+       "      <td>-0.138863</td>\n",
+       "      <td>1.083103</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <td>2</td>\n",
+       "      <td>2</td>\n",
+       "      <td>4.851149</td>\n",
+       "      <td>1.242811</td>\n",
+       "      <td>-0.351815</td>\n",
+       "      <td>-1.484957</td>\n",
+       "      <td>-0.758200</td>\n",
+       "      <td>2.181179</td>\n",
+       "      <td>-1.843949</td>\n",
+       "      <td>0.296194</td>\n",
+       "      <td>1.299142</td>\n",
+       "      <td>...</td>\n",
+       "      <td>-0.289024</td>\n",
+       "      <td>-0.282563</td>\n",
+       "      <td>0.088334</td>\n",
+       "      <td>0.238624</td>\n",
+       "      <td>0.327280</td>\n",
+       "      <td>0.325285</td>\n",
+       "      <td>-0.704900</td>\n",
+       "      <td>-0.036388</td>\n",
+       "      <td>-0.540516</td>\n",
+       "      <td>0.021711</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <td>3</td>\n",
+       "      <td>3</td>\n",
+       "      <td>-1.771641</td>\n",
+       "      <td>0.039500</td>\n",
+       "      <td>-1.358623</td>\n",
+       "      <td>1.920760</td>\n",
+       "      <td>-2.550817</td>\n",
+       "      <td>0.209519</td>\n",
+       "      <td>-0.756387</td>\n",
+       "      <td>0.700109</td>\n",
+       "      <td>-1.408543</td>\n",
+       "      <td>...</td>\n",
+       "      <td>0.286790</td>\n",
+       "      <td>0.672251</td>\n",
+       "      <td>-0.172186</td>\n",
+       "      <td>-0.518922</td>\n",
+       "      <td>0.231498</td>\n",
+       "      <td>-0.074296</td>\n",
+       "      <td>-0.034287</td>\n",
+       "      <td>-0.877735</td>\n",
+       "      <td>0.028065</td>\n",
+       "      <td>-0.321009</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <td>4</td>\n",
+       "      <td>4</td>\n",
+       "      <td>6.463747</td>\n",
+       "      <td>1.064473</td>\n",
+       "      <td>0.209472</td>\n",
+       "      <td>0.448906</td>\n",
+       "      <td>-1.555301</td>\n",
+       "      <td>3.215822</td>\n",
+       "      <td>-0.946356</td>\n",
+       "      <td>-0.805204</td>\n",
+       "      <td>2.112526</td>\n",
+       "      <td>...</td>\n",
+       "      <td>-0.235585</td>\n",
+       "      <td>0.019570</td>\n",
+       "      <td>-0.270189</td>\n",
+       "      <td>0.375297</td>\n",
+       "      <td>-0.396732</td>\n",
+       "      <td>-0.109084</td>\n",
+       "      <td>0.317305</td>\n",
+       "      <td>-0.145975</td>\n",
+       "      <td>-0.674692</td>\n",
+       "      <td>-0.378458</td>\n",
+       "    </tr>\n",
+       "  </tbody>\n",
+       "</table>\n",
+       "<p>5 rows × 173 columns</p>\n",
+       "</div>"
+      ],
+      "text/plain": [
+       "   Unnamed: 0      PCA0      PCA1      PCA2      PCA3      PCA4      PCA5  \\\n",
+       "0           0  4.345109  1.619386 -0.739617 -2.080179 -0.985088  1.999117   \n",
+       "1           1  0.019142 -3.106959  0.168223 -0.553341  0.940712  0.200719   \n",
+       "2           2  4.851149  1.242811 -0.351815 -1.484957 -0.758200  2.181179   \n",
+       "3           3 -1.771641  0.039500 -1.358623  1.920760 -2.550817  0.209519   \n",
+       "4           4  6.463747  1.064473  0.209472  0.448906 -1.555301  3.215822   \n",
+       "\n",
+       "       PCA6      PCA7      PCA8  ...    PCA162    PCA163    PCA164    PCA165  \\\n",
+       "0 -1.231870 -0.131782  1.316470  ... -0.276936 -0.128260  0.160733  0.071333   \n",
+       "1 -0.468954  0.235082 -0.838022  ...  0.140974 -0.224535 -1.063234 -0.334556   \n",
+       "2 -1.843949  0.296194  1.299142  ... -0.289024 -0.282563  0.088334  0.238624   \n",
+       "3 -0.756387  0.700109 -1.408543  ...  0.286790  0.672251 -0.172186 -0.518922   \n",
+       "4 -0.946356 -0.805204  2.112526  ... -0.235585  0.019570 -0.270189  0.375297   \n",
+       "\n",
+       "     PCA166    PCA167    PCA168    PCA169    PCA170    PCA171  \n",
+       "0  0.155468  0.172801 -0.169568 -0.144326  0.391713 -0.013357  \n",
+       "1  0.361166 -1.218397 -0.346191 -0.962753 -0.138863  1.083103  \n",
+       "2  0.327280  0.325285 -0.704900 -0.036388 -0.540516  0.021711  \n",
+       "3  0.231498 -0.074296 -0.034287 -0.877735  0.028065 -0.321009  \n",
+       "4 -0.396732 -0.109084  0.317305 -0.145975 -0.674692 -0.378458  \n",
+       "\n",
+       "[5 rows x 173 columns]"
+      ]
+     },
+     "execution_count": 7,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "print(y)\n",
+    "print(X.shape)\n",
+    "print(X_test.shape)\n",
+    "X.head()"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 30,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Train on 1460 samples\n",
+      "Epoch 1/20\n",
+      "1460/1460 [==============================] - 8s 5ms/sample - loss: 21378772287.8247 - mse: 21378768896.0000\n",
+      "Epoch 2/20\n",
+      "1460/1460 [==============================] - 7s 4ms/sample - loss: 14424159683.6822 - mse: 14424160256.0000\n",
+      "Epoch 3/20\n",
+      "1460/1460 [==============================] - 7s 4ms/sample - loss: 9813772273.9726 - mse: 9813772288.0000\n",
+      "Epoch 4/20\n",
+      "1460/1460 [==============================] - 6s 4ms/sample - loss: 4094837492.7781 - mse: 4094837504.0000\n",
+      "Epoch 5/20\n",
+      "1460/1460 [==============================] - 7s 5ms/sample - loss: 2989677719.4959 - mse: 2989677568.0000 3s - loss: 3902894729.6\n",
+      "Epoch 6/20\n",
+      "1460/1460 [==============================] - 6s 4ms/sample - loss: 1279209371.7041 - mse: 1279209088.0000\n",
+      "Epoch 7/20\n",
+      "1460/1460 [==============================] - 6s 4ms/sample - loss: 1186372414.0712 - mse: 1186372224.0000\n",
+      "Epoch 8/20\n",
+      "1460/1460 [==============================] - 6s 4ms/sample - loss: 929078176.2630 - mse: 929078208.0000\n",
+      "Epoch 9/20\n",
+      "1460/1460 [==============================] - 7s 5ms/sample - loss: 1044272466.4110 - mse: 1044272320.0000\n",
+      "Epoch 10/20\n",
+      "1460/1460 [==============================] - 6s 4ms/sample - loss: 521697620.8658 - mse: 521697728.0000\n",
+      "Epoch 11/20\n",
+      "1460/1460 [==============================] - 7s 4ms/sample - loss: 544022221.8521 - mse: 544022208.0000\n",
+      "Epoch 12/20\n",
+      "1460/1460 [==============================] - 6s 4ms/sample - loss: 468429404.4932 - mse: 468429408.0000\n",
+      "Epoch 13/20\n",
+      "1460/1460 [==============================] - 6s 4ms/sample - loss: 580859017.9945 - mse: 580859008.0000\n",
+      "Epoch 14/20\n",
+      "1460/1460 [==============================] - 7s 4ms/sample - loss: 477522669.0630 - mse: 477522624.0000\n",
+      "Epoch 15/20\n",
+      "1460/1460 [==============================] - 6s 4ms/sample - loss: 336378193.0959 - mse: 336378176.0000\n",
+      "Epoch 16/20\n",
+      "1460/1460 [==============================] - 7s 5ms/sample - loss: 307777051.1781 - mse: 307777088.0000\n",
+      "Epoch 17/20\n",
+      "1460/1460 [==============================] - 6s 4ms/sample - loss: 348827916.4932 - mse: 348827936.0000\n",
+      "Epoch 18/20\n",
+      "1460/1460 [==============================] - 6s 4ms/sample - loss: 375509386.9151 - mse: 375509312.0000\n",
+      "Epoch 19/20\n",
+      "1460/1460 [==============================] - 6s 4ms/sample - loss: 452619568.2192 - mse: 452619552.0000\n",
+      "Epoch 20/20\n",
+      "1460/1460 [==============================] - 6s 4ms/sample - loss: 348767770.2137 - mse: 348767808.0000\n",
+      "Model: \"sequential_7\"\n",
+      "_________________________________________________________________\n",
+      "Layer (type)                 Output Shape              Param #   \n",
+      "=================================================================\n",
+      "flatten_7 (Flatten)          multiple                  0         \n",
+      "_________________________________________________________________\n",
+      "dense_48 (Dense)             multiple                  178176    \n",
+      "_________________________________________________________________\n",
+      "dense_49 (Dense)             multiple                  1049600   \n",
+      "_________________________________________________________________\n",
+      "dense_50 (Dense)             multiple                  2099200   \n",
+      "_________________________________________________________________\n",
+      "dense_51 (Dense)             multiple                  4196352   \n",
+      "_________________________________________________________________\n",
+      "dense_52 (Dense)             multiple                  2098176   \n",
+      "_________________________________________________________________\n",
+      "dense_53 (Dense)             multiple                  1049600   \n",
+      "_________________________________________________________________\n",
+      "dense_54 (Dense)             multiple                  524800    \n",
+      "_________________________________________________________________\n",
+      "dense_55 (Dense)             multiple                  131328    \n",
+      "_________________________________________________________________\n",
+      "dense_56 (Dense)             multiple                  32896     \n",
+      "_________________________________________________________________\n",
+      "dense_57 (Dense)             multiple                  8256      \n",
+      "_________________________________________________________________\n",
+      "dense_58 (Dense)             multiple                  2080      \n",
+      "_________________________________________________________________\n",
+      "dense_59 (Dense)             multiple                  33        \n",
+      "=================================================================\n",
+      "Total params: 11,370,497\n",
+      "Trainable params: 11,370,497\n",
+      "Non-trainable params: 0\n",
+      "_________________________________________________________________\n",
+      "None\n"
+     ]
+    }
+   ],
+   "source": [
+    "# Setup our model\n",
+    "\n",
+    "model = tf.keras.models.Sequential([\n",
+    "    # Flatten out our input\n",
+    "    tf.keras.layers.Flatten(),\n",
+    "    \n",
+    "    # Setup our hidden layer\n",
+    "    \n",
+    "    tf.keras.layers.Dense(1024, activation=tf.nn.relu),\n",
+    "    tf.keras.layers.Dense(1024, activation=tf.nn.relu),\n",
+    "    tf.keras.layers.Dense(2048, activation=tf.nn.relu),\n",
+    "    tf.keras.layers.Dense(2048, activation=tf.nn.relu),\n",
+    "    tf.keras.layers.Dense(1024, activation=tf.nn.relu),\n",
+    "    tf.keras.layers.Dense(1024, activation=tf.nn.relu),\n",
+    "    tf.keras.layers.Dense(512, activation=tf.nn.relu),\n",
+    "    tf.keras.layers.Dense(256, activation=tf.nn.relu),\n",
+    "    tf.keras.layers.Dense(128, activation=tf.nn.relu),\n",
+    "    tf.keras.layers.Dense(64, activation=tf.nn.relu),\n",
+    "    tf.keras.layers.Dense(32, activation=tf.nn.relu),\n",
+    "    \n",
+    "    # Setup output layer\n",
+    "    tf.keras.layers.Dense(1, activation=tf.nn.relu)\n",
+    "])\n",
+    "\n",
+    "# Compile our model\n",
+    "model.compile(optimizer='adam', \n",
+    "              loss = 'mean_squared_error', \n",
+    "             metrics=['mse'])\n",
+    "\n",
+    "# Fit model\n",
+    "history = model.fit(\n",
+    "    X.values,\n",
+    "    y.values,\n",
+    "    epochs=20\n",
+    ")\n",
+    "\n",
+    "# Model summary\n",
+    "print(model.summary())"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 31,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "mse = mean_squared_error(y.values, model.predict(X.values))\n",
+    "mae = mean_absolute_error(y.values, model.predict(X.values))"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 32,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Training mse =  206305033.33630806  & mae =  9953.949831442636  & rmse =  14363.322503387162\n"
+     ]
+    }
+   ],
+   "source": [
+    "print(\"Training mse = \",mse,\" & mae = \",mae,\" & rmse = \", sqrt(mse))"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 33,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/html": [
+       "<div>\n",
+       "<style scoped>\n",
+       "    .dataframe tbody tr th:only-of-type {\n",
+       "        vertical-align: middle;\n",
+       "    }\n",
+       "\n",
+       "    .dataframe tbody tr th {\n",
+       "        vertical-align: top;\n",
+       "    }\n",
+       "\n",
+       "    .dataframe thead th {\n",
+       "        text-align: right;\n",
+       "    }\n",
+       "</style>\n",
+       "<table border=\"1\" class=\"dataframe\">\n",
+       "  <thead>\n",
+       "    <tr style=\"text-align: right;\">\n",
+       "      <th></th>\n",
+       "      <th>Id</th>\n",
+       "      <th>SalePrice</th>\n",
+       "    </tr>\n",
+       "  </thead>\n",
+       "  <tbody>\n",
+       "    <tr>\n",
+       "      <td>0</td>\n",
+       "      <td>1461</td>\n",
+       "      <td>115729.328125</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <td>1</td>\n",
+       "      <td>1462</td>\n",
+       "      <td>148874.625000</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <td>2</td>\n",
+       "      <td>1463</td>\n",
+       "      <td>154782.968750</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <td>3</td>\n",
+       "      <td>1464</td>\n",
+       "      <td>159385.453125</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <td>4</td>\n",
+       "      <td>1465</td>\n",
+       "      <td>170496.734375</td>\n",
+       "    </tr>\n",
+       "  </tbody>\n",
+       "</table>\n",
+       "</div>"
+      ],
+      "text/plain": [
+       "     Id      SalePrice\n",
+       "0  1461  115729.328125\n",
+       "1  1462  148874.625000\n",
+       "2  1463  154782.968750\n",
+       "3  1464  159385.453125\n",
+       "4  1465  170496.734375"
+      ]
+     },
+     "execution_count": 33,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "# Setup and save Tree prediction\n",
+    "\n",
+    "test_pred = model.predict(X_test.values) # Note that we need to feed our model the values or our dataframe X_test\n",
+    "predictions = np.c_[testId, test_pred] # Note that we take the argmax over the collumns to use our softmax output\n",
+    "submission = pd.DataFrame(predictions, columns = ['Id', 'SalePrice'])\n",
+    "submission['Id'] = submission['Id'].astype(int)\n",
+    "submission.to_csv(\"submissions/NNSubmission.csv\", index=False)\n",
+    "submission.head()"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 34,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "# Import Ensemble prediction made from Tree/Forest models\n",
+    "\n",
+    "Ensemble_prediction = pd.read_csv(os.path.join('submissions', 'EnsembleSubmission.csv'))"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 41,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "# Average old ensemble with NN model\n",
+    "\n",
+    "Ensemble_prediction['NNSale'] = submission['SalePrice']\n",
+    "Ensemble_prediction['SalePrice'] = Ensemble_prediction[['SalePrice', 'NNSale']].mean(axis=1)\n",
+    "Ensemble_prediction = Ensemble_prediction.drop('NNSale', axis=1)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 42,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/html": [
+       "<div>\n",
+       "<style scoped>\n",
+       "    .dataframe tbody tr th:only-of-type {\n",
+       "        vertical-align: middle;\n",
+       "    }\n",
+       "\n",
+       "    .dataframe tbody tr th {\n",
+       "        vertical-align: top;\n",
+       "    }\n",
+       "\n",
+       "    .dataframe thead th {\n",
+       "        text-align: right;\n",
+       "    }\n",
+       "</style>\n",
+       "<table border=\"1\" class=\"dataframe\">\n",
+       "  <thead>\n",
+       "    <tr style=\"text-align: right;\">\n",
+       "      <th></th>\n",
+       "      <th>Id</th>\n",
+       "      <th>SalePrice</th>\n",
+       "    </tr>\n",
+       "  </thead>\n",
+       "  <tbody>\n",
+       "    <tr>\n",
+       "      <td>0</td>\n",
+       "      <td>1461</td>\n",
+       "      <td>120161.371094</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <td>1</td>\n",
+       "      <td>1462</td>\n",
+       "      <td>152452.843750</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <td>2</td>\n",
+       "      <td>1463</td>\n",
+       "      <td>162175.976562</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <td>3</td>\n",
+       "      <td>1464</td>\n",
+       "      <td>167157.189844</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <td>4</td>\n",
+       "      <td>1465</td>\n",
+       "      <td>174259.088281</td>\n",
+       "    </tr>\n",
+       "  </tbody>\n",
+       "</table>\n",
+       "</div>"
+      ],
+      "text/plain": [
+       "     Id      SalePrice\n",
+       "0  1461  120161.371094\n",
+       "1  1462  152452.843750\n",
+       "2  1463  162175.976562\n",
+       "3  1464  167157.189844\n",
+       "4  1465  174259.088281"
+      ]
+     },
+     "execution_count": 42,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "Ensemble_prediction.head()"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 43,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "Ensemble_prediction.to_csv('submissions/NNEnsembleSubmission.csv', index=False)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [],
+   "source": []
+  }
+ ],
+ "metadata": {
+  "kernelspec": {
+   "display_name": "Python 3",
+   "language": "python",
+   "name": "python3"
+  },
+  "language_info": {
+   "codemirror_mode": {
+    "name": "ipython",
+    "version": 3
+   },
+   "file_extension": ".py",
+   "mimetype": "text/x-python",
+   "name": "python",
+   "nbconvert_exporter": "python",
+   "pygments_lexer": "ipython3",
+   "version": "3.7.4"
+  }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 2
+}
diff --git a/kaggle_house_prices/NeuralNetwork.ipynb b/kaggle_house_prices/NeuralNetwork.ipynb
new file mode 100644
index 0000000..9e4ebf6
--- /dev/null
+++ b/kaggle_house_prices/NeuralNetwork.ipynb
@@ -0,0 +1,1094 @@
+{
+ "cells": [
+  {
+   "cell_type": "code",
+   "execution_count": 8,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "Using TensorFlow backend.\n"
+     ]
+    }
+   ],
+   "source": [
+    "import pandas as pd\n",
+    "import numpy as np\n",
+    "import os\n",
+    "from math import sqrt\n",
+    "from sklearn.metrics import mean_squared_error\n",
+    "from sklearn.metrics import mean_absolute_error\n",
+    "import tensorflow as tf\n",
+    "import keras"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 2,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "train = pd.read_csv(os.path.join('data', 'clean_train.csv'))\n",
+    "test = pd.read_csv(os.path.join('data', 'clean_test.csv'))"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 3,
+   "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>Unnamed: 0</th>\n",
+       "      <th>PCA0</th>\n",
+       "      <th>PCA1</th>\n",
+       "      <th>PCA2</th>\n",
+       "      <th>PCA3</th>\n",
+       "      <th>PCA4</th>\n",
+       "      <th>PCA5</th>\n",
+       "      <th>PCA6</th>\n",
+       "      <th>PCA7</th>\n",
+       "      <th>PCA8</th>\n",
+       "      <th>...</th>\n",
+       "      <th>PCA164</th>\n",
+       "      <th>PCA165</th>\n",
+       "      <th>PCA166</th>\n",
+       "      <th>PCA167</th>\n",
+       "      <th>PCA168</th>\n",
+       "      <th>PCA169</th>\n",
+       "      <th>PCA170</th>\n",
+       "      <th>PCA171</th>\n",
+       "      <th>Id</th>\n",
+       "      <th>SalePrice</th>\n",
+       "    </tr>\n",
+       "  </thead>\n",
+       "  <tbody>\n",
+       "    <tr>\n",
+       "      <td>0</td>\n",
+       "      <td>0</td>\n",
+       "      <td>4.345109</td>\n",
+       "      <td>1.619386</td>\n",
+       "      <td>-0.739617</td>\n",
+       "      <td>-2.080179</td>\n",
+       "      <td>-0.985088</td>\n",
+       "      <td>1.999117</td>\n",
+       "      <td>-1.231870</td>\n",
+       "      <td>-0.131782</td>\n",
+       "      <td>1.316470</td>\n",
+       "      <td>...</td>\n",
+       "      <td>0.160733</td>\n",
+       "      <td>0.071333</td>\n",
+       "      <td>0.155468</td>\n",
+       "      <td>0.172801</td>\n",
+       "      <td>-0.169568</td>\n",
+       "      <td>-0.144326</td>\n",
+       "      <td>0.391713</td>\n",
+       "      <td>-0.013357</td>\n",
+       "      <td>1</td>\n",
+       "      <td>208500</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <td>1</td>\n",
+       "      <td>1</td>\n",
+       "      <td>0.019142</td>\n",
+       "      <td>-3.106959</td>\n",
+       "      <td>0.168223</td>\n",
+       "      <td>-0.553341</td>\n",
+       "      <td>0.940712</td>\n",
+       "      <td>0.200719</td>\n",
+       "      <td>-0.468954</td>\n",
+       "      <td>0.235082</td>\n",
+       "      <td>-0.838022</td>\n",
+       "      <td>...</td>\n",
+       "      <td>-1.063234</td>\n",
+       "      <td>-0.334556</td>\n",
+       "      <td>0.361166</td>\n",
+       "      <td>-1.218397</td>\n",
+       "      <td>-0.346191</td>\n",
+       "      <td>-0.962753</td>\n",
+       "      <td>-0.138863</td>\n",
+       "      <td>1.083103</td>\n",
+       "      <td>2</td>\n",
+       "      <td>181500</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <td>2</td>\n",
+       "      <td>2</td>\n",
+       "      <td>4.851149</td>\n",
+       "      <td>1.242811</td>\n",
+       "      <td>-0.351815</td>\n",
+       "      <td>-1.484957</td>\n",
+       "      <td>-0.758200</td>\n",
+       "      <td>2.181179</td>\n",
+       "      <td>-1.843949</td>\n",
+       "      <td>0.296194</td>\n",
+       "      <td>1.299142</td>\n",
+       "      <td>...</td>\n",
+       "      <td>0.088334</td>\n",
+       "      <td>0.238624</td>\n",
+       "      <td>0.327280</td>\n",
+       "      <td>0.325285</td>\n",
+       "      <td>-0.704900</td>\n",
+       "      <td>-0.036388</td>\n",
+       "      <td>-0.540516</td>\n",
+       "      <td>0.021711</td>\n",
+       "      <td>3</td>\n",
+       "      <td>223500</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <td>3</td>\n",
+       "      <td>3</td>\n",
+       "      <td>-1.771641</td>\n",
+       "      <td>0.039500</td>\n",
+       "      <td>-1.358623</td>\n",
+       "      <td>1.920760</td>\n",
+       "      <td>-2.550817</td>\n",
+       "      <td>0.209519</td>\n",
+       "      <td>-0.756387</td>\n",
+       "      <td>0.700109</td>\n",
+       "      <td>-1.408543</td>\n",
+       "      <td>...</td>\n",
+       "      <td>-0.172186</td>\n",
+       "      <td>-0.518922</td>\n",
+       "      <td>0.231498</td>\n",
+       "      <td>-0.074296</td>\n",
+       "      <td>-0.034287</td>\n",
+       "      <td>-0.877735</td>\n",
+       "      <td>0.028065</td>\n",
+       "      <td>-0.321009</td>\n",
+       "      <td>4</td>\n",
+       "      <td>140000</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <td>4</td>\n",
+       "      <td>4</td>\n",
+       "      <td>6.463747</td>\n",
+       "      <td>1.064473</td>\n",
+       "      <td>0.209472</td>\n",
+       "      <td>0.448906</td>\n",
+       "      <td>-1.555301</td>\n",
+       "      <td>3.215822</td>\n",
+       "      <td>-0.946356</td>\n",
+       "      <td>-0.805204</td>\n",
+       "      <td>2.112526</td>\n",
+       "      <td>...</td>\n",
+       "      <td>-0.270189</td>\n",
+       "      <td>0.375297</td>\n",
+       "      <td>-0.396732</td>\n",
+       "      <td>-0.109084</td>\n",
+       "      <td>0.317305</td>\n",
+       "      <td>-0.145975</td>\n",
+       "      <td>-0.674692</td>\n",
+       "      <td>-0.378458</td>\n",
+       "      <td>5</td>\n",
+       "      <td>250000</td>\n",
+       "    </tr>\n",
+       "  </tbody>\n",
+       "</table>\n",
+       "<p>5 rows × 175 columns</p>\n",
+       "</div>"
+      ],
+      "text/plain": [
+       "   Unnamed: 0      PCA0      PCA1      PCA2      PCA3      PCA4      PCA5  \\\n",
+       "0           0  4.345109  1.619386 -0.739617 -2.080179 -0.985088  1.999117   \n",
+       "1           1  0.019142 -3.106959  0.168223 -0.553341  0.940712  0.200719   \n",
+       "2           2  4.851149  1.242811 -0.351815 -1.484957 -0.758200  2.181179   \n",
+       "3           3 -1.771641  0.039500 -1.358623  1.920760 -2.550817  0.209519   \n",
+       "4           4  6.463747  1.064473  0.209472  0.448906 -1.555301  3.215822   \n",
+       "\n",
+       "       PCA6      PCA7      PCA8  ...    PCA164    PCA165    PCA166    PCA167  \\\n",
+       "0 -1.231870 -0.131782  1.316470  ...  0.160733  0.071333  0.155468  0.172801   \n",
+       "1 -0.468954  0.235082 -0.838022  ... -1.063234 -0.334556  0.361166 -1.218397   \n",
+       "2 -1.843949  0.296194  1.299142  ...  0.088334  0.238624  0.327280  0.325285   \n",
+       "3 -0.756387  0.700109 -1.408543  ... -0.172186 -0.518922  0.231498 -0.074296   \n",
+       "4 -0.946356 -0.805204  2.112526  ... -0.270189  0.375297 -0.396732 -0.109084   \n",
+       "\n",
+       "     PCA168    PCA169    PCA170    PCA171  Id  SalePrice  \n",
+       "0 -0.169568 -0.144326  0.391713 -0.013357   1     208500  \n",
+       "1 -0.346191 -0.962753 -0.138863  1.083103   2     181500  \n",
+       "2 -0.704900 -0.036388 -0.540516  0.021711   3     223500  \n",
+       "3 -0.034287 -0.877735  0.028065 -0.321009   4     140000  \n",
+       "4  0.317305 -0.145975 -0.674692 -0.378458   5     250000  \n",
+       "\n",
+       "[5 rows x 175 columns]"
+      ]
+     },
+     "execution_count": 3,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "train.head()"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 4,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/html": [
+       "<div>\n",
+       "<style scoped>\n",
+       "    .dataframe tbody tr th:only-of-type {\n",
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+       "</style>\n",
+       "<table border=\"1\" class=\"dataframe\">\n",
+       "  <thead>\n",
+       "    <tr style=\"text-align: right;\">\n",
+       "      <th></th>\n",
+       "      <th>Unnamed: 0</th>\n",
+       "      <th>PCA0</th>\n",
+       "      <th>PCA1</th>\n",
+       "      <th>PCA2</th>\n",
+       "      <th>PCA3</th>\n",
+       "      <th>PCA4</th>\n",
+       "      <th>PCA5</th>\n",
+       "      <th>PCA6</th>\n",
+       "      <th>PCA7</th>\n",
+       "      <th>PCA8</th>\n",
+       "      <th>...</th>\n",
+       "      <th>PCA163</th>\n",
+       "      <th>PCA164</th>\n",
+       "      <th>PCA165</th>\n",
+       "      <th>PCA166</th>\n",
+       "      <th>PCA167</th>\n",
+       "      <th>PCA168</th>\n",
+       "      <th>PCA169</th>\n",
+       "      <th>PCA170</th>\n",
+       "      <th>PCA171</th>\n",
+       "      <th>Id</th>\n",
+       "    </tr>\n",
+       "  </thead>\n",
+       "  <tbody>\n",
+       "    <tr>\n",
+       "      <td>0</td>\n",
+       "      <td>0</td>\n",
+       "      <td>-3.208086</td>\n",
+       "      <td>-2.987338</td>\n",
+       "      <td>-0.327066</td>\n",
+       "      <td>-1.609206</td>\n",
+       "      <td>0.016879</td>\n",
+       "      <td>-1.514939</td>\n",
+       "      <td>-0.417889</td>\n",
+       "      <td>-0.988173</td>\n",
+       "      <td>-0.653363</td>\n",
+       "      <td>...</td>\n",
+       "      <td>-0.027364</td>\n",
+       "      <td>0.653222</td>\n",
+       "      <td>-0.201973</td>\n",
+       "      <td>-0.769946</td>\n",
+       "      <td>-0.344834</td>\n",
+       "      <td>0.514257</td>\n",
+       "      <td>1.114106</td>\n",
+       "      <td>0.337765</td>\n",
+       "      <td>-0.639617</td>\n",
+       "      <td>1461</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <td>1</td>\n",
+       "      <td>1</td>\n",
+       "      <td>-1.403753</td>\n",
+       "      <td>-4.261851</td>\n",
+       "      <td>0.107527</td>\n",
+       "      <td>0.935981</td>\n",
+       "      <td>0.165777</td>\n",
+       "      <td>-0.299485</td>\n",
+       "      <td>-0.524918</td>\n",
+       "      <td>-2.332121</td>\n",
+       "      <td>0.031044</td>\n",
+       "      <td>...</td>\n",
+       "      <td>3.856117</td>\n",
+       "      <td>0.787996</td>\n",
+       "      <td>0.215221</td>\n",
+       "      <td>0.458275</td>\n",
+       "      <td>1.135109</td>\n",
+       "      <td>0.378972</td>\n",
+       "      <td>0.953559</td>\n",
+       "      <td>-1.008240</td>\n",
+       "      <td>4.445435</td>\n",
+       "      <td>1462</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <td>2</td>\n",
+       "      <td>2</td>\n",
+       "      <td>2.257002</td>\n",
+       "      <td>0.427951</td>\n",
+       "      <td>-0.610464</td>\n",
+       "      <td>-1.301125</td>\n",
+       "      <td>-1.058327</td>\n",
+       "      <td>2.674177</td>\n",
+       "      <td>-1.500824</td>\n",
+       "      <td>-0.223999</td>\n",
+       "      <td>0.403440</td>\n",
+       "      <td>...</td>\n",
+       "      <td>-0.117138</td>\n",
+       "      <td>-0.378473</td>\n",
+       "      <td>-0.031613</td>\n",
+       "      <td>0.090593</td>\n",
+       "      <td>-0.173914</td>\n",
+       "      <td>-0.150098</td>\n",
+       "      <td>-0.006612</td>\n",
+       "      <td>0.190780</td>\n",
+       "      <td>-0.152486</td>\n",
+       "      <td>1463</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <td>3</td>\n",
+       "      <td>3</td>\n",
+       "      <td>3.253618</td>\n",
+       "      <td>0.537318</td>\n",
+       "      <td>-0.796079</td>\n",
+       "      <td>-0.851716</td>\n",
+       "      <td>-1.209643</td>\n",
+       "      <td>2.388795</td>\n",
+       "      <td>-1.340676</td>\n",
+       "      <td>-0.876322</td>\n",
+       "      <td>0.421183</td>\n",
+       "      <td>...</td>\n",
+       "      <td>-0.441586</td>\n",
+       "      <td>0.020066</td>\n",
+       "      <td>-0.151709</td>\n",
+       "      <td>0.444826</td>\n",
+       "      <td>0.008218</td>\n",
+       "      <td>-0.161705</td>\n",
+       "      <td>-0.453482</td>\n",
+       "      <td>0.472352</td>\n",
+       "      <td>0.046141</td>\n",
+       "      <td>1464</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <td>4</td>\n",
+       "      <td>4</td>\n",
+       "      <td>2.876409</td>\n",
+       "      <td>-0.075909</td>\n",
+       "      <td>-0.154959</td>\n",
+       "      <td>-2.469870</td>\n",
+       "      <td>1.407820</td>\n",
+       "      <td>0.487532</td>\n",
+       "      <td>0.072190</td>\n",
+       "      <td>2.414446</td>\n",
+       "      <td>1.667224</td>\n",
+       "      <td>...</td>\n",
+       "      <td>0.269062</td>\n",
+       "      <td>0.651172</td>\n",
+       "      <td>-0.050461</td>\n",
+       "      <td>-0.526448</td>\n",
+       "      <td>-0.843701</td>\n",
+       "      <td>0.574770</td>\n",
+       "      <td>-0.227828</td>\n",
+       "      <td>1.071423</td>\n",
+       "      <td>1.362638</td>\n",
+       "      <td>1465</td>\n",
+       "    </tr>\n",
+       "  </tbody>\n",
+       "</table>\n",
+       "<p>5 rows × 174 columns</p>\n",
+       "</div>"
+      ],
+      "text/plain": [
+       "   Unnamed: 0      PCA0      PCA1      PCA2      PCA3      PCA4      PCA5  \\\n",
+       "0           0 -3.208086 -2.987338 -0.327066 -1.609206  0.016879 -1.514939   \n",
+       "1           1 -1.403753 -4.261851  0.107527  0.935981  0.165777 -0.299485   \n",
+       "2           2  2.257002  0.427951 -0.610464 -1.301125 -1.058327  2.674177   \n",
+       "3           3  3.253618  0.537318 -0.796079 -0.851716 -1.209643  2.388795   \n",
+       "4           4  2.876409 -0.075909 -0.154959 -2.469870  1.407820  0.487532   \n",
+       "\n",
+       "       PCA6      PCA7      PCA8  ...    PCA163    PCA164    PCA165    PCA166  \\\n",
+       "0 -0.417889 -0.988173 -0.653363  ... -0.027364  0.653222 -0.201973 -0.769946   \n",
+       "1 -0.524918 -2.332121  0.031044  ...  3.856117  0.787996  0.215221  0.458275   \n",
+       "2 -1.500824 -0.223999  0.403440  ... -0.117138 -0.378473 -0.031613  0.090593   \n",
+       "3 -1.340676 -0.876322  0.421183  ... -0.441586  0.020066 -0.151709  0.444826   \n",
+       "4  0.072190  2.414446  1.667224  ...  0.269062  0.651172 -0.050461 -0.526448   \n",
+       "\n",
+       "     PCA167    PCA168    PCA169    PCA170    PCA171    Id  \n",
+       "0 -0.344834  0.514257  1.114106  0.337765 -0.639617  1461  \n",
+       "1  1.135109  0.378972  0.953559 -1.008240  4.445435  1462  \n",
+       "2 -0.173914 -0.150098 -0.006612  0.190780 -0.152486  1463  \n",
+       "3  0.008218 -0.161705 -0.453482  0.472352  0.046141  1464  \n",
+       "4 -0.843701  0.574770 -0.227828  1.071423  1.362638  1465  \n",
+       "\n",
+       "[5 rows x 174 columns]"
+      ]
+     },
+     "execution_count": 4,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "test.head()"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 5,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "# Set aside unnecessary features\n",
+    "\n",
+    "trainId = train['Id'].astype(int)\n",
+    "testId = test['Id'].astype(int)\n",
+    "\n",
+    "train = train.drop('Id', axis=1)\n",
+    "test = test.drop('Id', axis=1)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 6,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "X = train.drop('SalePrice', axis=1)\n",
+    "y = train['SalePrice']\n",
+    "X_test = test"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 7,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "0       208500\n",
+      "1       181500\n",
+      "2       223500\n",
+      "3       140000\n",
+      "4       250000\n",
+      "         ...  \n",
+      "1455    175000\n",
+      "1456    210000\n",
+      "1457    266500\n",
+      "1458    142125\n",
+      "1459    147500\n",
+      "Name: SalePrice, Length: 1460, dtype: int64\n",
+      "(1460, 173)\n",
+      "(1459, 173)\n"
+     ]
+    },
+    {
+     "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>Unnamed: 0</th>\n",
+       "      <th>PCA0</th>\n",
+       "      <th>PCA1</th>\n",
+       "      <th>PCA2</th>\n",
+       "      <th>PCA3</th>\n",
+       "      <th>PCA4</th>\n",
+       "      <th>PCA5</th>\n",
+       "      <th>PCA6</th>\n",
+       "      <th>PCA7</th>\n",
+       "      <th>PCA8</th>\n",
+       "      <th>...</th>\n",
+       "      <th>PCA162</th>\n",
+       "      <th>PCA163</th>\n",
+       "      <th>PCA164</th>\n",
+       "      <th>PCA165</th>\n",
+       "      <th>PCA166</th>\n",
+       "      <th>PCA167</th>\n",
+       "      <th>PCA168</th>\n",
+       "      <th>PCA169</th>\n",
+       "      <th>PCA170</th>\n",
+       "      <th>PCA171</th>\n",
+       "    </tr>\n",
+       "  </thead>\n",
+       "  <tbody>\n",
+       "    <tr>\n",
+       "      <td>0</td>\n",
+       "      <td>0</td>\n",
+       "      <td>4.345109</td>\n",
+       "      <td>1.619386</td>\n",
+       "      <td>-0.739617</td>\n",
+       "      <td>-2.080179</td>\n",
+       "      <td>-0.985088</td>\n",
+       "      <td>1.999117</td>\n",
+       "      <td>-1.231870</td>\n",
+       "      <td>-0.131782</td>\n",
+       "      <td>1.316470</td>\n",
+       "      <td>...</td>\n",
+       "      <td>-0.276936</td>\n",
+       "      <td>-0.128260</td>\n",
+       "      <td>0.160733</td>\n",
+       "      <td>0.071333</td>\n",
+       "      <td>0.155468</td>\n",
+       "      <td>0.172801</td>\n",
+       "      <td>-0.169568</td>\n",
+       "      <td>-0.144326</td>\n",
+       "      <td>0.391713</td>\n",
+       "      <td>-0.013357</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <td>1</td>\n",
+       "      <td>1</td>\n",
+       "      <td>0.019142</td>\n",
+       "      <td>-3.106959</td>\n",
+       "      <td>0.168223</td>\n",
+       "      <td>-0.553341</td>\n",
+       "      <td>0.940712</td>\n",
+       "      <td>0.200719</td>\n",
+       "      <td>-0.468954</td>\n",
+       "      <td>0.235082</td>\n",
+       "      <td>-0.838022</td>\n",
+       "      <td>...</td>\n",
+       "      <td>0.140974</td>\n",
+       "      <td>-0.224535</td>\n",
+       "      <td>-1.063234</td>\n",
+       "      <td>-0.334556</td>\n",
+       "      <td>0.361166</td>\n",
+       "      <td>-1.218397</td>\n",
+       "      <td>-0.346191</td>\n",
+       "      <td>-0.962753</td>\n",
+       "      <td>-0.138863</td>\n",
+       "      <td>1.083103</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <td>2</td>\n",
+       "      <td>2</td>\n",
+       "      <td>4.851149</td>\n",
+       "      <td>1.242811</td>\n",
+       "      <td>-0.351815</td>\n",
+       "      <td>-1.484957</td>\n",
+       "      <td>-0.758200</td>\n",
+       "      <td>2.181179</td>\n",
+       "      <td>-1.843949</td>\n",
+       "      <td>0.296194</td>\n",
+       "      <td>1.299142</td>\n",
+       "      <td>...</td>\n",
+       "      <td>-0.289024</td>\n",
+       "      <td>-0.282563</td>\n",
+       "      <td>0.088334</td>\n",
+       "      <td>0.238624</td>\n",
+       "      <td>0.327280</td>\n",
+       "      <td>0.325285</td>\n",
+       "      <td>-0.704900</td>\n",
+       "      <td>-0.036388</td>\n",
+       "      <td>-0.540516</td>\n",
+       "      <td>0.021711</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <td>3</td>\n",
+       "      <td>3</td>\n",
+       "      <td>-1.771641</td>\n",
+       "      <td>0.039500</td>\n",
+       "      <td>-1.358623</td>\n",
+       "      <td>1.920760</td>\n",
+       "      <td>-2.550817</td>\n",
+       "      <td>0.209519</td>\n",
+       "      <td>-0.756387</td>\n",
+       "      <td>0.700109</td>\n",
+       "      <td>-1.408543</td>\n",
+       "      <td>...</td>\n",
+       "      <td>0.286790</td>\n",
+       "      <td>0.672251</td>\n",
+       "      <td>-0.172186</td>\n",
+       "      <td>-0.518922</td>\n",
+       "      <td>0.231498</td>\n",
+       "      <td>-0.074296</td>\n",
+       "      <td>-0.034287</td>\n",
+       "      <td>-0.877735</td>\n",
+       "      <td>0.028065</td>\n",
+       "      <td>-0.321009</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <td>4</td>\n",
+       "      <td>4</td>\n",
+       "      <td>6.463747</td>\n",
+       "      <td>1.064473</td>\n",
+       "      <td>0.209472</td>\n",
+       "      <td>0.448906</td>\n",
+       "      <td>-1.555301</td>\n",
+       "      <td>3.215822</td>\n",
+       "      <td>-0.946356</td>\n",
+       "      <td>-0.805204</td>\n",
+       "      <td>2.112526</td>\n",
+       "      <td>...</td>\n",
+       "      <td>-0.235585</td>\n",
+       "      <td>0.019570</td>\n",
+       "      <td>-0.270189</td>\n",
+       "      <td>0.375297</td>\n",
+       "      <td>-0.396732</td>\n",
+       "      <td>-0.109084</td>\n",
+       "      <td>0.317305</td>\n",
+       "      <td>-0.145975</td>\n",
+       "      <td>-0.674692</td>\n",
+       "      <td>-0.378458</td>\n",
+       "    </tr>\n",
+       "  </tbody>\n",
+       "</table>\n",
+       "<p>5 rows × 173 columns</p>\n",
+       "</div>"
+      ],
+      "text/plain": [
+       "   Unnamed: 0      PCA0      PCA1      PCA2      PCA3      PCA4      PCA5  \\\n",
+       "0           0  4.345109  1.619386 -0.739617 -2.080179 -0.985088  1.999117   \n",
+       "1           1  0.019142 -3.106959  0.168223 -0.553341  0.940712  0.200719   \n",
+       "2           2  4.851149  1.242811 -0.351815 -1.484957 -0.758200  2.181179   \n",
+       "3           3 -1.771641  0.039500 -1.358623  1.920760 -2.550817  0.209519   \n",
+       "4           4  6.463747  1.064473  0.209472  0.448906 -1.555301  3.215822   \n",
+       "\n",
+       "       PCA6      PCA7      PCA8  ...    PCA162    PCA163    PCA164    PCA165  \\\n",
+       "0 -1.231870 -0.131782  1.316470  ... -0.276936 -0.128260  0.160733  0.071333   \n",
+       "1 -0.468954  0.235082 -0.838022  ...  0.140974 -0.224535 -1.063234 -0.334556   \n",
+       "2 -1.843949  0.296194  1.299142  ... -0.289024 -0.282563  0.088334  0.238624   \n",
+       "3 -0.756387  0.700109 -1.408543  ...  0.286790  0.672251 -0.172186 -0.518922   \n",
+       "4 -0.946356 -0.805204  2.112526  ... -0.235585  0.019570 -0.270189  0.375297   \n",
+       "\n",
+       "     PCA166    PCA167    PCA168    PCA169    PCA170    PCA171  \n",
+       "0  0.155468  0.172801 -0.169568 -0.144326  0.391713 -0.013357  \n",
+       "1  0.361166 -1.218397 -0.346191 -0.962753 -0.138863  1.083103  \n",
+       "2  0.327280  0.325285 -0.704900 -0.036388 -0.540516  0.021711  \n",
+       "3  0.231498 -0.074296 -0.034287 -0.877735  0.028065 -0.321009  \n",
+       "4 -0.396732 -0.109084  0.317305 -0.145975 -0.674692 -0.378458  \n",
+       "\n",
+       "[5 rows x 173 columns]"
+      ]
+     },
+     "execution_count": 7,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "print(y)\n",
+    "print(X.shape)\n",
+    "print(X_test.shape)\n",
+    "X.head()"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 30,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Train on 1460 samples\n",
+      "Epoch 1/20\n",
+      "1460/1460 [==============================] - 8s 5ms/sample - loss: 21378772287.8247 - mse: 21378768896.0000\n",
+      "Epoch 2/20\n",
+      "1460/1460 [==============================] - 7s 4ms/sample - loss: 14424159683.6822 - mse: 14424160256.0000\n",
+      "Epoch 3/20\n",
+      "1460/1460 [==============================] - 7s 4ms/sample - loss: 9813772273.9726 - mse: 9813772288.0000\n",
+      "Epoch 4/20\n",
+      "1460/1460 [==============================] - 6s 4ms/sample - loss: 4094837492.7781 - mse: 4094837504.0000\n",
+      "Epoch 5/20\n",
+      "1460/1460 [==============================] - 7s 5ms/sample - loss: 2989677719.4959 - mse: 2989677568.0000 3s - loss: 3902894729.6\n",
+      "Epoch 6/20\n",
+      "1460/1460 [==============================] - 6s 4ms/sample - loss: 1279209371.7041 - mse: 1279209088.0000\n",
+      "Epoch 7/20\n",
+      "1460/1460 [==============================] - 6s 4ms/sample - loss: 1186372414.0712 - mse: 1186372224.0000\n",
+      "Epoch 8/20\n",
+      "1460/1460 [==============================] - 6s 4ms/sample - loss: 929078176.2630 - mse: 929078208.0000\n",
+      "Epoch 9/20\n",
+      "1460/1460 [==============================] - 7s 5ms/sample - loss: 1044272466.4110 - mse: 1044272320.0000\n",
+      "Epoch 10/20\n",
+      "1460/1460 [==============================] - 6s 4ms/sample - loss: 521697620.8658 - mse: 521697728.0000\n",
+      "Epoch 11/20\n",
+      "1460/1460 [==============================] - 7s 4ms/sample - loss: 544022221.8521 - mse: 544022208.0000\n",
+      "Epoch 12/20\n",
+      "1460/1460 [==============================] - 6s 4ms/sample - loss: 468429404.4932 - mse: 468429408.0000\n",
+      "Epoch 13/20\n",
+      "1460/1460 [==============================] - 6s 4ms/sample - loss: 580859017.9945 - mse: 580859008.0000\n",
+      "Epoch 14/20\n",
+      "1460/1460 [==============================] - 7s 4ms/sample - loss: 477522669.0630 - mse: 477522624.0000\n",
+      "Epoch 15/20\n",
+      "1460/1460 [==============================] - 6s 4ms/sample - loss: 336378193.0959 - mse: 336378176.0000\n",
+      "Epoch 16/20\n",
+      "1460/1460 [==============================] - 7s 5ms/sample - loss: 307777051.1781 - mse: 307777088.0000\n",
+      "Epoch 17/20\n",
+      "1460/1460 [==============================] - 6s 4ms/sample - loss: 348827916.4932 - mse: 348827936.0000\n",
+      "Epoch 18/20\n",
+      "1460/1460 [==============================] - 6s 4ms/sample - loss: 375509386.9151 - mse: 375509312.0000\n",
+      "Epoch 19/20\n",
+      "1460/1460 [==============================] - 6s 4ms/sample - loss: 452619568.2192 - mse: 452619552.0000\n",
+      "Epoch 20/20\n",
+      "1460/1460 [==============================] - 6s 4ms/sample - loss: 348767770.2137 - mse: 348767808.0000\n",
+      "Model: \"sequential_7\"\n",
+      "_________________________________________________________________\n",
+      "Layer (type)                 Output Shape              Param #   \n",
+      "=================================================================\n",
+      "flatten_7 (Flatten)          multiple                  0         \n",
+      "_________________________________________________________________\n",
+      "dense_48 (Dense)             multiple                  178176    \n",
+      "_________________________________________________________________\n",
+      "dense_49 (Dense)             multiple                  1049600   \n",
+      "_________________________________________________________________\n",
+      "dense_50 (Dense)             multiple                  2099200   \n",
+      "_________________________________________________________________\n",
+      "dense_51 (Dense)             multiple                  4196352   \n",
+      "_________________________________________________________________\n",
+      "dense_52 (Dense)             multiple                  2098176   \n",
+      "_________________________________________________________________\n",
+      "dense_53 (Dense)             multiple                  1049600   \n",
+      "_________________________________________________________________\n",
+      "dense_54 (Dense)             multiple                  524800    \n",
+      "_________________________________________________________________\n",
+      "dense_55 (Dense)             multiple                  131328    \n",
+      "_________________________________________________________________\n",
+      "dense_56 (Dense)             multiple                  32896     \n",
+      "_________________________________________________________________\n",
+      "dense_57 (Dense)             multiple                  8256      \n",
+      "_________________________________________________________________\n",
+      "dense_58 (Dense)             multiple                  2080      \n",
+      "_________________________________________________________________\n",
+      "dense_59 (Dense)             multiple                  33        \n",
+      "=================================================================\n",
+      "Total params: 11,370,497\n",
+      "Trainable params: 11,370,497\n",
+      "Non-trainable params: 0\n",
+      "_________________________________________________________________\n",
+      "None\n"
+     ]
+    }
+   ],
+   "source": [
+    "# Setup our model\n",
+    "\n",
+    "model = tf.keras.models.Sequential([\n",
+    "    # Flatten out our input\n",
+    "    tf.keras.layers.Flatten(),\n",
+    "    \n",
+    "    # Setup our hidden layer\n",
+    "    \n",
+    "    tf.keras.layers.Dense(1024, activation=tf.nn.relu),\n",
+    "    tf.keras.layers.Dense(1024, activation=tf.nn.relu),\n",
+    "    tf.keras.layers.Dense(2048, activation=tf.nn.relu),\n",
+    "    tf.keras.layers.Dense(2048, activation=tf.nn.relu),\n",
+    "    tf.keras.layers.Dense(1024, activation=tf.nn.relu),\n",
+    "    tf.keras.layers.Dense(1024, activation=tf.nn.relu),\n",
+    "    tf.keras.layers.Dense(512, activation=tf.nn.relu),\n",
+    "    tf.keras.layers.Dense(256, activation=tf.nn.relu),\n",
+    "    tf.keras.layers.Dense(128, activation=tf.nn.relu),\n",
+    "    tf.keras.layers.Dense(64, activation=tf.nn.relu),\n",
+    "    tf.keras.layers.Dense(32, activation=tf.nn.relu),\n",
+    "    \n",
+    "    # Setup output layer\n",
+    "    tf.keras.layers.Dense(1, activation=tf.nn.relu)\n",
+    "])\n",
+    "\n",
+    "# Compile our model\n",
+    "model.compile(optimizer='adam', \n",
+    "              loss = 'mean_squared_error', \n",
+    "             metrics=['mse'])\n",
+    "\n",
+    "# Fit model\n",
+    "history = model.fit(\n",
+    "    X.values,\n",
+    "    y.values,\n",
+    "    epochs=20\n",
+    ")\n",
+    "\n",
+    "# Model summary\n",
+    "print(model.summary())"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 31,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "mse = mean_squared_error(y.values, model.predict(X.values))\n",
+    "mae = mean_absolute_error(y.values, model.predict(X.values))"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 32,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Training mse =  206305033.33630806  & mae =  9953.949831442636  & rmse =  14363.322503387162\n"
+     ]
+    }
+   ],
+   "source": [
+    "print(\"Training mse = \",mse,\" & mae = \",mae,\" & rmse = \", sqrt(mse))"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 33,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/html": [
+       "<div>\n",
+       "<style scoped>\n",
+       "    .dataframe tbody tr th:only-of-type {\n",
+       "        vertical-align: middle;\n",
+       "    }\n",
+       "\n",
+       "    .dataframe tbody tr th {\n",
+       "        vertical-align: top;\n",
+       "    }\n",
+       "\n",
+       "    .dataframe thead th {\n",
+       "        text-align: right;\n",
+       "    }\n",
+       "</style>\n",
+       "<table border=\"1\" class=\"dataframe\">\n",
+       "  <thead>\n",
+       "    <tr style=\"text-align: right;\">\n",
+       "      <th></th>\n",
+       "      <th>Id</th>\n",
+       "      <th>SalePrice</th>\n",
+       "    </tr>\n",
+       "  </thead>\n",
+       "  <tbody>\n",
+       "    <tr>\n",
+       "      <td>0</td>\n",
+       "      <td>1461</td>\n",
+       "      <td>115729.328125</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <td>1</td>\n",
+       "      <td>1462</td>\n",
+       "      <td>148874.625000</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <td>2</td>\n",
+       "      <td>1463</td>\n",
+       "      <td>154782.968750</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <td>3</td>\n",
+       "      <td>1464</td>\n",
+       "      <td>159385.453125</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <td>4</td>\n",
+       "      <td>1465</td>\n",
+       "      <td>170496.734375</td>\n",
+       "    </tr>\n",
+       "  </tbody>\n",
+       "</table>\n",
+       "</div>"
+      ],
+      "text/plain": [
+       "     Id      SalePrice\n",
+       "0  1461  115729.328125\n",
+       "1  1462  148874.625000\n",
+       "2  1463  154782.968750\n",
+       "3  1464  159385.453125\n",
+       "4  1465  170496.734375"
+      ]
+     },
+     "execution_count": 33,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "# Setup and save Tree prediction\n",
+    "\n",
+    "test_pred = model.predict(X_test.values) # Note that we need to feed our model the values or our dataframe X_test\n",
+    "predictions = np.c_[testId, test_pred] # Note that we take the argmax over the collumns to use our softmax output\n",
+    "submission = pd.DataFrame(predictions, columns = ['Id', 'SalePrice'])\n",
+    "submission['Id'] = submission['Id'].astype(int)\n",
+    "submission.to_csv(\"submissions/NNSubmission.csv\", index=False)\n",
+    "submission.head()"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 34,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "# Import Ensemble prediction made from Tree/Forest models\n",
+    "\n",
+    "Ensemble_prediction = pd.read_csv(os.path.join('submissions', 'EnsembleSubmission.csv'))"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 41,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "# Average old ensemble with NN model\n",
+    "\n",
+    "Ensemble_prediction['NNSale'] = submission['SalePrice']\n",
+    "Ensemble_prediction['SalePrice'] = Ensemble_prediction[['SalePrice', 'NNSale']].mean(axis=1)\n",
+    "Ensemble_prediction = Ensemble_prediction.drop('NNSale', axis=1)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 42,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/html": [
+       "<div>\n",
+       "<style scoped>\n",
+       "    .dataframe tbody tr th:only-of-type {\n",
+       "        vertical-align: middle;\n",
+       "    }\n",
+       "\n",
+       "    .dataframe tbody tr th {\n",
+       "        vertical-align: top;\n",
+       "    }\n",
+       "\n",
+       "    .dataframe thead th {\n",
+       "        text-align: right;\n",
+       "    }\n",
+       "</style>\n",
+       "<table border=\"1\" class=\"dataframe\">\n",
+       "  <thead>\n",
+       "    <tr style=\"text-align: right;\">\n",
+       "      <th></th>\n",
+       "      <th>Id</th>\n",
+       "      <th>SalePrice</th>\n",
+       "    </tr>\n",
+       "  </thead>\n",
+       "  <tbody>\n",
+       "    <tr>\n",
+       "      <td>0</td>\n",
+       "      <td>1461</td>\n",
+       "      <td>120161.371094</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <td>1</td>\n",
+       "      <td>1462</td>\n",
+       "      <td>152452.843750</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <td>2</td>\n",
+       "      <td>1463</td>\n",
+       "      <td>162175.976562</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <td>3</td>\n",
+       "      <td>1464</td>\n",
+       "      <td>167157.189844</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <td>4</td>\n",
+       "      <td>1465</td>\n",
+       "      <td>174259.088281</td>\n",
+       "    </tr>\n",
+       "  </tbody>\n",
+       "</table>\n",
+       "</div>"
+      ],
+      "text/plain": [
+       "     Id      SalePrice\n",
+       "0  1461  120161.371094\n",
+       "1  1462  152452.843750\n",
+       "2  1463  162175.976562\n",
+       "3  1464  167157.189844\n",
+       "4  1465  174259.088281"
+      ]
+     },
+     "execution_count": 42,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "Ensemble_prediction.head()"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 43,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "Ensemble_prediction.to_csv('submissions/NNEnsembleSubmission.csv', index=False)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [],
+   "source": []
+  }
+ ],
+ "metadata": {
+  "kernelspec": {
+   "display_name": "Python 3",
+   "language": "python",
+   "name": "python3"
+  },
+  "language_info": {
+   "codemirror_mode": {
+    "name": "ipython",
+    "version": 3
+   },
+   "file_extension": ".py",
+   "mimetype": "text/x-python",
+   "name": "python",
+   "nbconvert_exporter": "python",
+   "pygments_lexer": "ipython3",
+   "version": "3.7.4"
+  }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 2
+}
diff --git a/kaggle_house_prices/submissions/NNEnsembleSubmission.csv b/kaggle_house_prices/submissions/NNEnsembleSubmission.csv
new file mode 100644
index 0000000..084efa1
--- /dev/null
+++ b/kaggle_house_prices/submissions/NNEnsembleSubmission.csv
@@ -0,0 +1,1460 @@
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diff --git a/kaggle_house_prices/submissions/NNSubmission.csv b/kaggle_house_prices/submissions/NNSubmission.csv
new file mode 100644
index 0000000..ee5381b
--- /dev/null
+++ b/kaggle_house_prices/submissions/NNSubmission.csv
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