Jesse_Notebook.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import pandas as pd\n",
    "import math\n",
    "import scipy.stats as stats\n",
    "import statsmodels.api as sm\n",
    "import statsmodels.formula.api as smf\n",
    "import seaborn as sns\n",
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "train_df = pd.read_csv('kc_house_data_train.csv')\n",
    "test_df = pd.read_csv('kc_house_data_test_features.csv')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(17290, 22)\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>id</th>\n",
       "      <th>date</th>\n",
       "      <th>price</th>\n",
       "      <th>bedrooms</th>\n",
       "      <th>bathrooms</th>\n",
       "      <th>sqft_living</th>\n",
       "      <th>sqft_lot</th>\n",
       "      <th>floors</th>\n",
       "      <th>waterfront</th>\n",
       "      <th>...</th>\n",
       "      <th>grade</th>\n",
       "      <th>sqft_above</th>\n",
       "      <th>sqft_basement</th>\n",
       "      <th>yr_built</th>\n",
       "      <th>yr_renovated</th>\n",
       "      <th>zipcode</th>\n",
       "      <th>lat</th>\n",
       "      <th>long</th>\n",
       "      <th>sqft_living15</th>\n",
       "      <th>sqft_lot15</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>0</td>\n",
       "      <td>2591820310</td>\n",
       "      <td>20141006T000000</td>\n",
       "      <td>365000.0</td>\n",
       "      <td>4</td>\n",
       "      <td>2.25</td>\n",
       "      <td>2070</td>\n",
       "      <td>8893</td>\n",
       "      <td>2.0</td>\n",
       "      <td>0</td>\n",
       "      <td>...</td>\n",
       "      <td>8</td>\n",
       "      <td>2070</td>\n",
       "      <td>0</td>\n",
       "      <td>1986</td>\n",
       "      <td>0</td>\n",
       "      <td>98058</td>\n",
       "      <td>47.4388</td>\n",
       "      <td>-122.162</td>\n",
       "      <td>2390</td>\n",
       "      <td>7700</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>1</td>\n",
       "      <td>7974200820</td>\n",
       "      <td>20140821T000000</td>\n",
       "      <td>865000.0</td>\n",
       "      <td>5</td>\n",
       "      <td>3.00</td>\n",
       "      <td>2900</td>\n",
       "      <td>6730</td>\n",
       "      <td>1.0</td>\n",
       "      <td>0</td>\n",
       "      <td>...</td>\n",
       "      <td>8</td>\n",
       "      <td>1830</td>\n",
       "      <td>1070</td>\n",
       "      <td>1977</td>\n",
       "      <td>0</td>\n",
       "      <td>98115</td>\n",
       "      <td>47.6784</td>\n",
       "      <td>-122.285</td>\n",
       "      <td>2370</td>\n",
       "      <td>6283</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>2</td>\n",
       "      <td>7701450110</td>\n",
       "      <td>20140815T000000</td>\n",
       "      <td>1038000.0</td>\n",
       "      <td>4</td>\n",
       "      <td>2.50</td>\n",
       "      <td>3770</td>\n",
       "      <td>10893</td>\n",
       "      <td>2.0</td>\n",
       "      <td>0</td>\n",
       "      <td>...</td>\n",
       "      <td>11</td>\n",
       "      <td>3770</td>\n",
       "      <td>0</td>\n",
       "      <td>1997</td>\n",
       "      <td>0</td>\n",
       "      <td>98006</td>\n",
       "      <td>47.5646</td>\n",
       "      <td>-122.129</td>\n",
       "      <td>3710</td>\n",
       "      <td>9685</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>3</td>\n",
       "      <td>9522300010</td>\n",
       "      <td>20150331T000000</td>\n",
       "      <td>1490000.0</td>\n",
       "      <td>3</td>\n",
       "      <td>3.50</td>\n",
       "      <td>4560</td>\n",
       "      <td>14608</td>\n",
       "      <td>2.0</td>\n",
       "      <td>0</td>\n",
       "      <td>...</td>\n",
       "      <td>12</td>\n",
       "      <td>4560</td>\n",
       "      <td>0</td>\n",
       "      <td>1990</td>\n",
       "      <td>0</td>\n",
       "      <td>98034</td>\n",
       "      <td>47.6995</td>\n",
       "      <td>-122.228</td>\n",
       "      <td>4050</td>\n",
       "      <td>14226</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>4</td>\n",
       "      <td>9510861140</td>\n",
       "      <td>20140714T000000</td>\n",
       "      <td>711000.0</td>\n",
       "      <td>3</td>\n",
       "      <td>2.50</td>\n",
       "      <td>2550</td>\n",
       "      <td>5376</td>\n",
       "      <td>2.0</td>\n",
       "      <td>0</td>\n",
       "      <td>...</td>\n",
       "      <td>9</td>\n",
       "      <td>2550</td>\n",
       "      <td>0</td>\n",
       "      <td>2004</td>\n",
       "      <td>0</td>\n",
       "      <td>98052</td>\n",
       "      <td>47.6647</td>\n",
       "      <td>-122.083</td>\n",
       "      <td>2250</td>\n",
       "      <td>4050</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>5 rows × 22 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "   Unnamed: 0          id             date      price  bedrooms  bathrooms  \\\n",
       "0           0  2591820310  20141006T000000   365000.0         4       2.25   \n",
       "1           1  7974200820  20140821T000000   865000.0         5       3.00   \n",
       "2           2  7701450110  20140815T000000  1038000.0         4       2.50   \n",
       "3           3  9522300010  20150331T000000  1490000.0         3       3.50   \n",
       "4           4  9510861140  20140714T000000   711000.0         3       2.50   \n",
       "\n",
       "   sqft_living  sqft_lot  floors  waterfront  ...  grade  sqft_above  \\\n",
       "0         2070      8893     2.0           0  ...      8        2070   \n",
       "1         2900      6730     1.0           0  ...      8        1830   \n",
       "2         3770     10893     2.0           0  ...     11        3770   \n",
       "3         4560     14608     2.0           0  ...     12        4560   \n",
       "4         2550      5376     2.0           0  ...      9        2550   \n",
       "\n",
       "   sqft_basement  yr_built  yr_renovated  zipcode      lat     long  \\\n",
       "0              0      1986             0    98058  47.4388 -122.162   \n",
       "1           1070      1977             0    98115  47.6784 -122.285   \n",
       "2              0      1997             0    98006  47.5646 -122.129   \n",
       "3              0      1990             0    98034  47.6995 -122.228   \n",
       "4              0      2004             0    98052  47.6647 -122.083   \n",
       "\n",
       "   sqft_living15  sqft_lot15  \n",
       "0           2390        7700  \n",
       "1           2370        6283  \n",
       "2           3710        9685  \n",
       "3           4050       14226  \n",
       "4           2250        4050  \n",
       "\n",
       "[5 rows x 22 columns]"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "print(train_df.shape)\n",
    "train_df.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "['Unnamed: 0',\n",
       " 'id',\n",
       " 'date',\n",
       " 'price',\n",
       " 'bedrooms',\n",
       " 'bathrooms',\n",
       " 'sqft_living',\n",
       " 'sqft_lot',\n",
       " 'floors',\n",
       " 'waterfront',\n",
       " 'view',\n",
       " 'condition',\n",
       " 'grade',\n",
       " 'sqft_above',\n",
       " 'sqft_basement',\n",
       " 'yr_built',\n",
       " 'yr_renovated',\n",
       " 'zipcode',\n",
       " 'lat',\n",
       " 'long',\n",
       " 'sqft_living15',\n",
       " 'sqft_lot15']"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "keys = list(train_df.keys())\n",
    "keys"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "list = ['bedrooms','bathrooms','floors','view','condition','grade','yr_built','yr_renovated']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "['bedrooms',\n",
       " 'bathrooms',\n",
       " 'sqft_living',\n",
       " 'sqft_lot',\n",
       " 'floors',\n",
       " 'waterfront',\n",
       " 'view',\n",
       " 'condition',\n",
       " 'grade',\n",
       " 'sqft_above',\n",
       " 'sqft_basement',\n",
       " 'yr_built',\n",
       " 'yr_renovated',\n",
       " 'zipcode',\n",
       " 'lat',\n",
       " 'long',\n",
       " 'sqft_living15',\n",
       " 'sqft_lot15']"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "features = list(train_df.keys())\n",
    "del features[0]\n",
    "del features[0]\n",
    "del features[0]\n",
    "del features[0]\n",
    "features"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "n = 4\n",
    "row_groups= [features[i:i+n] for i in range(0, len(features), n) ]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x216 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 864x216 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x216 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x216 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x216 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "for i in row_groups:\n",
    "    pp = sns.pairplot(data=train_df, y_vars=['price'],x_vars=i, kind=\"reg\", height=3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "yr_renovated\n",
       "0       16564\n",
       "1934        1\n",
       "1940        2\n",
       "1944        1\n",
       "1945        3\n",
       "        ...  \n",
       "2011        8\n",
       "2012        9\n",
       "2013       30\n",
       "2014       71\n",
       "2015       12\n",
       "Name: yr_renovated, Length: 69, dtype: int64"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "train_df.groupby('yr_renovated')['yr_renovated'].count()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "metadata": {},
   "outputs": [],
   "source": [
    "def plot_trend(df, x_col, y_col):\n",
    "    mean_df = train_df.groupby(x_col)[y_col].mean()\n",
    "    fig, ax = plt.subplots()\n",
    "    ax.plot(mean_df.index, mean_df.values)\n",
    "    return train_df.groupby(x_col)[y_col].count()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "bedrooms\n",
       "0       12\n",
       "1      160\n",
       "2     2204\n",
       "3     7864\n",
       "4     5488\n",
       "5     1283\n",
       "6      229\n",
       "7       30\n",
       "8       10\n",
       "9        5\n",
       "10       3\n",
       "11       1\n",
       "33       1\n",
       "Name: price, dtype: int64"
      ]
     },
     "execution_count": 52,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "brcount_df = plot_trend(train_df, 'bedrooms', 'price')\n",
    "brcount_df"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "bathrooms\n",
       "0.00       8\n",
       "0.50       3\n",
       "0.75      52\n",
       "1.00    3100\n",
       "1.25       6\n",
       "1.50    1168\n",
       "1.75    2431\n",
       "2.00    1549\n",
       "2.25    1666\n",
       "2.50    4322\n",
       "2.75     896\n",
       "3.00     592\n",
       "3.25     455\n",
       "3.50     591\n",
       "3.75     135\n",
       "4.00     107\n",
       "4.25      64\n",
       "4.50      76\n",
       "4.75      16\n",
       "5.00      17\n",
       "5.25      11\n",
       "5.50       7\n",
       "5.75       3\n",
       "6.00       6\n",
       "6.25       2\n",
       "6.50       1\n",
       "6.75       2\n",
       "7.50       1\n",
       "7.75       1\n",
       "8.00       2\n",
       "Name: price, dtype: int64"
      ]
     },
     "execution_count": 53,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "bathcount_df = plot_trend(train_df, 'bathrooms', 'price')\n",
    "bathcount_df"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "floors\n",
       "1.0    8606\n",
       "1.5    1524\n",
       "2.0    6538\n",
       "2.5     140\n",
       "3.0     475\n",
       "3.5       7\n",
       "Name: price, dtype: int64"
      ]
     },
     "execution_count": 54,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "floorcount_df = plot_trend(train_df, 'floors', 'price')\n",
    "floorcount_df"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "view\n",
       "0    15571\n",
       "1      264\n",
       "2      775\n",
       "3      410\n",
       "4      270\n",
       "Name: price, dtype: int64"
      ]
     },
     "execution_count": 55,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "viewrcount_df = plot_trend(train_df, 'view', 'price')\n",
    "viewrcount_df"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 57,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "condition\n",
       "1       24\n",
       "2      139\n",
       "3    11244\n",
       "4     4516\n",
       "5     1367\n",
       "Name: price, dtype: int64"
      ]
     },
     "execution_count": 57,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "conditioncount_df = plot_trend(train_df, 'condition', 'price')\n",
    "conditioncount_df"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 59,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "grade\n",
       "1        1\n",
       "3        2\n",
       "4       22\n",
       "5      192\n",
       "6     1648\n",
       "7     7183\n",
       "8     4848\n",
       "9     2099\n",
       "10     893\n",
       "11     319\n",
       "12      72\n",
       "13      11\n",
       "Name: price, dtype: int64"
      ]
     },
     "execution_count": 59,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "gradecount_df = plot_trend(train_df, 'grade', 'price')\n",
    "gradecount_df"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "grade\n",
       "1     1.420000e+05\n",
       "3     1.685000e+05\n",
       "4     2.106386e+05\n",
       "5     2.438372e+05\n",
       "6     3.026820e+05\n",
       "7     4.025267e+05\n",
       "8     5.430105e+05\n",
       "9     7.741618e+05\n",
       "10    1.072903e+06\n",
       "11    1.507967e+06\n",
       "12    2.314347e+06\n",
       "13    4.002727e+06\n",
       "Name: price, dtype: float64"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "train_df.groupby('grade')['price'].mean()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 65,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "yr_built\n",
       "1900     70\n",
       "1901     25\n",
       "1902     22\n",
       "1903     36\n",
       "1904     36\n",
       "1905     57\n",
       "1906     73\n",
       "1907     52\n",
       "1908     69\n",
       "1909     75\n",
       "1910    112\n",
       "1911     56\n",
       "1912     67\n",
       "1913     45\n",
       "1914     41\n",
       "1915     54\n",
       "1916     62\n",
       "1917     46\n",
       "1918    100\n",
       "1919     68\n",
       "1920     74\n",
       "1921     62\n",
       "1922     74\n",
       "1923     66\n",
       "1924    111\n",
       "1925    139\n",
       "1926    151\n",
       "1927    100\n",
       "1928    105\n",
       "1929     84\n",
       "1930     77\n",
       "1931     46\n",
       "1932     28\n",
       "1933     27\n",
       "1934     19\n",
       "1935     18\n",
       "1936     36\n",
       "1937     47\n",
       "1938     43\n",
       "1939     82\n",
       "1940    117\n",
       "1941    133\n",
       "1942    188\n",
       "1943    136\n",
       "1944    115\n",
       "1945     73\n",
       "1946    101\n",
       "1947    213\n",
       "1948    180\n",
       "1949    150\n",
       "Name: price, dtype: int64"
      ]
     },
     "execution_count": 65,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "yrbuilt_count_df = plot_trend(train_df, 'yr_built', 'price')\n",
    "yrbuilt_count_df.head(50)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 66,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "yr_renovated\n",
       "0       16564\n",
       "1934        1\n",
       "1940        2\n",
       "1944        1\n",
       "1945        3\n",
       "1946        2\n",
       "1948        1\n",
       "1950        2\n",
       "1951        1\n",
       "1953        3\n",
       "1955        3\n",
       "1956        2\n",
       "1957        2\n",
       "1958        3\n",
       "1959        1\n",
       "1960        3\n",
       "1962        2\n",
       "1963        3\n",
       "1964        4\n",
       "1965        4\n",
       "1967        2\n",
       "1968        6\n",
       "1969        2\n",
       "1970        7\n",
       "1971        2\n",
       "1972        3\n",
       "1973        4\n",
       "1974        2\n",
       "1975        5\n",
       "1976        3\n",
       "1977        6\n",
       "1978        5\n",
       "1979        7\n",
       "1980        7\n",
       "1981        3\n",
       "1982        7\n",
       "1983       11\n",
       "1984       12\n",
       "1985       15\n",
       "1986       14\n",
       "1987       16\n",
       "1988       12\n",
       "1989       21\n",
       "1990       21\n",
       "1991       15\n",
       "1992        9\n",
       "1993       14\n",
       "1994       13\n",
       "1995       16\n",
       "1996       14\n",
       "Name: price, dtype: int64"
      ]
     },
     "execution_count": 66,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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+x8aC90dGi72d4VHeK+sNHXs/MlqWpI4ns8PDI+w+cPRYkhrfz1R6vHMKKusxlSx3dzK/Ss/p2DBfKlcam9dVoLuzw8N5Zh/QY6/um7xQDpxAWkRHx/gXd31/ZRHBkZGxE3o7472l8gRU2lsaOnq83Du/GmZo39Dx7YdHODr6wTNToUOpF1Q+pFept+R5JrOZwAlklpPE3DkF5s4psHhBV133PTwyxuHhUYaOjkzoOU3oQR0pSUrlyerIKAcOH2X3gcMTEpznmcxmBicQa5iuzg66Ojs4hfoO543PM433dkrnjsp7S8d6U0dL56A8z2TtK88etxOItZzZPs+0oDxW2lsqGQb0PJM1mhOIWZLHPFOl3tIJc09lvaWh1Jt651fDvLdv6Pgc1PDolM759zzT7JDnb8IJxKzB8phnqt1b8jyTNYYTiFkLOzbPNL++w3kjo2McPjpKrXmmoZITISpd1/SrNM90LGmlC26nol7zTOO9pfGynmeqDycQMztBZ6GDkwodDZlnOp6Yyi6sPTLK4Zpn7I0eG947MHR04tDfFOeZugodJb2iyr0lzzNNzgnEzHLT0SEWdHeyoLsT6K7bfus1zzTeYxof+mvFeaY885cTiJm1vEbPM32Q3tIJc08lSerA0DC7D0xMVsMZ55kWL6jdK3QCMTObIYrzTF0snF/f/Y6MjjF0dHTCWXUn3BGibJ7prV++zz8/u6e+DZkGJxAzsyboLHRwcqGDk6cwz7Tn4OEZlUB8KoKZWYuo90kN0+UEYmbWIhZ0FSYtoxwvJXQCMTNrEZKY7NpKPxPdzMwqmjdn8l5IXpxAzMxayFwnEDMzy6KtEoikgqSnJf1z+rxc0uOSdkm6R1JXinenz/1p/bKSfdyQ4i9LuqQkvibF+iVtKolXrMPMrN3NnVP7azvPG6nUowfyFeDFks83A7dExApgP7AhxTcA+yPibOCWVA5JK4F1wMeANcC3U1IqALcBlwIrgStT2Vp1mJm1tXkf4EysvEwrgUhaCnwe+Nv0WcBngftSkS3A5Wl5bfpMWr86lV8LbI2IIxHxGtAPXJhe/RHxakQMA1uBtZPUYWbW1uZ21k4g9X6eTS3T7YH8NfBfgPGbupwKHIiIkfR5AFiSlpcAbwKk9QdT+WPxsm2qxWvVMYGkjZL6JPUNDg5m/RnNzGaMyXog31r3Wzm1ZBoJRNIXgL0RsbM0XKFoTLKuXvETgxF3RERvRPT29PRUKmJm1lK6a/RA/uD8pXz45Lm5tWU6fZ1PA1+UdBkwFziZYo9koaTO1ENYCuxO5QeAM4EBSZ3AKcC+kvi40m0qxd+pUYeZWVtrizmQiLghIpZGxDKKk+A/jIg/BB4GvpSKrQfuT8vb0mfS+h9GRKT4unSW1nJgBfAE8CSwIp1x1ZXq2Ja2qVaHmVlb6/lQ9eeoROXBmIZpxHUg1wPXSeqnOF9xZ4rfCZya4tcBmwAi4gXgXuCnwPeBayJiNPUurgW2UzzL695UtlYdZmZt7c8uOafZTTimLtP1EfEI8EhafpXiGVTlZd4Hrqiy/TeAb1SIPwA8UCFesQ4zs3Y3v6uTTy1fzOOv7TtxZb4dEF+JbmbWasaicqbIOX84gZiZtZrRKTynvZGcQMzMWswp82bGg6WcQMzMWsxfXvGJivGoMrTVKE4gZmYt5tQap/LmyQnEzKxNeBLdzMxaghOImVmbyHkKxAnEzMyycQIxM7NMnEDMzNqEJ9HNzKwlOIGYmbUJX0hoZmaZeAjLzMxaghOImVkLmlNQs5vgBGJm1ormd9XleYDT4gRiZtaC5ncVTgz6SnQzM5tMaQI5aW6xNxI5ZxAnEDOzFrSg+/gQ1k2///GmtMEJxMysBVUawvLNFM3MbFILSibR1aQTspxAzMxa0Fc+t6LZTXACMTNrRR9fuvCEmIewzMxsSn7310/ljFPmcu1nz8613uZfiWJmZtOycH4Xj96wOvd63QMxM7NMMicQSWdKeljSi5JekPSVFF8saYekXel9UYpL0q2S+iU9K+n8kn2tT+V3SVpfEr9A0nNpm1ul4rkG1eowM7P8TKcHMgL854j4TWAVcI2klcAm4KGIWAE8lD4DXAqsSK+NwO1QTAbAjcCngAuBG0sSwu2p7Ph2a1K8Wh1mZpaTzHMgEbEH2JOWD0l6EVgCrAU+k4ptAR4Brk/xu6P4xJPHJC2UdEYquyMi9gFI2gGskfQIcHJEPJridwOXAw/WqMPMbNa4c30vR0fzfgrIcXWZRJe0DPgk8DhwekouRMQeSR9OxZYAb5ZsNpBiteIDFeLUqMPMbNZY/ZunN7X+aU+iS/oQ8I/An0TEL2sVrRCLDPGptG2jpD5JfYODg1PZ1MzMJjGtBCJpDsXk8Z2I+KcUfjsNTZHe96b4AHBmyeZLgd2TxJdWiNeqY4KIuCMieiOit6enJ9sPaWZmFU3nLCwBdwIvRsT/LFm1DRg/k2o9cH9J/Kp0NtYq4GAahtoOXCxpUZo8vxjYntYdkrQq1XVV2b4q1WFmZjmZzhzIp4F/Dzwn6ZkU+6/ATcC9kjYAbwBXpHUPAJcB/cAQcDVAROyT9HXgyVTua+MT6sCXgbuAeRQnzx9M8Wp1mJlZThR53zylSXp7e6Ovr6/ZzTAzaymSdkZEb6V1vhLdzMwycQIxM7NMnEDMzCyTWTMHImkQ+HnGzU8D3qljc+rF7ZqamdiumdgmcLumqp3b9dGIqHgdxKxJINMhqa/aJFIzuV1TMxPbNRPbBG7XVM3WdnkIy8zMMnECMTOzTJxAPpg7mt2AKtyuqZmJ7ZqJbQK3a6pmZbs8B2JmZpm4B2JmZpk4gZiZWSZOIJOQtEbSy+m57Lk9OrfGM+f/XNIvJD2TXpeVbHNDaufLki5pYNteT8+qf0ZSX4pVfE59uvvyraldz0o6v0FtOrfkmDwj6ZeS/qQZx0vSZkl7JT1fEpvy8ZG0PpXfJWl9pbrq0K5vSnop1f09SQtTfJmkwyXH7W9Ktrkg/f77U9srPbtnOm2a8u+s3v9Oq7TrnpI2vT5+E9m8jlXaX7Xvheb8fUWEX1VeQAH4GXAW0AX8BFiZU91nAOen5ZOAV4CVwJ8Df1ah/MrUvm5geWp3oUFtex04rSz2F8CmtLwJuDktX0bxLsoCVgGP5/R7ewv4aDOOF3ARcD7wfNbjAywGXk3vi9Lyoga062KgMy3fXNKuZaXlyvbzBPA7qc0PApfWuU1T+p014t9ppXaVrf8r4L/neazS/qp9LzTl78s9kNouBPoj4tWIGAa2Unwee8NFxJ6IeCotHwLGnzlfzVpga0QciYjXKN42/8LGt3RC/VvS8haKz68fj98dRY8BC5UeBtZAq4GfRUStOw807HhFxI+BfWXhqR6fS4AdEbEvIvYDO4A19W5XRPwgIkbSx8eY+BC3E6S2nRwRj0bxm+jukp+lLm2qodrvrO7/Tmu1K/Ui/h3w3Vr7qPexSu2q9r3QlL8vJ5Daqj2vPVea+Mx5gGtTd3TzeFeVfNsawA8k7ZS0McUmPKceGH9OfTOO4Tom/uNu9vGCqR+fZhy3P+L4M3cAlkt6WtKPJP1eii1JbWl0u6byO8v7WP0e8HZE7CqJ5X6syr4XmvL35QRS27Sfyz7tBpz4zPnbgV8HfgvYQ7ErDfm29dMRcT5wKXCNpItqlM31GErqAr4I/EMKzYTjVUu1duR93L4KjADfSaE9wK9FxCeB64C/l3RyTu2a6u8s79/llUz8D0rux6rC90LVolXaUJe2OYHUVu157blQhWfOR8TbETEaEWPA/+b4sEtubY2I3el9L/C91IZqz6nP+xheCjwVEW+nNjb9eCVTPT65tS9NoH4B+MM01EIaJno3Le+kOMdwTmpX6TBX3duV4XeW57HqBH4fuKekvbkeq0rfCzTp78sJpLYngRWSlqf/2a6j+Dz2hkvjrCc8c75s/uDfAuNniWwD1knqlrQcWEFxAq/e7Vog6aTxZYqTsM9T/Tn124Cr0tkgq4CD413tBpnwv8NmH68SUz0+24GLJS1KQzgXp1hdSVoDXA98MSKGSuI9kgpp+SyKx+fV1LZDklalv9GrSn6WerVpqr+zPP+dfg54KSKODU3leayqfS/QrL+v6ZwRMBteFM9ieIXi/yq+mmO9/5pil/JZ4Jn0ugz4O+C5FN8GnFGyzVdTO19mmmd71GjXWRTPcvkJ8ML4MQFOBR4CdqX3xSku4LbUrueA3gYes/nAu8ApJbHcjxfFBLYHOErxf3obshwfinMS/el1dYPa1U9xLHz8b+xvUtk/SL/fnwBPAf+mZD+9FL/Ufwb8L9IdLerYpin/zur977RSu1L8LuCPy8rmcqzS/qp9LzTl78u3MjEzs0w8hGVmZpk4gZiZWSZOIGZmlokTiJmZZeIEYmZmmTiBmJlZJk4gZmaWyf8HlL4BZdew1BYAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "yrren_count_df = plot_trend(train_df, 'yr_renovated', 'price')\n",
    "yrren_count_df.head(50)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0x1a291cc610>"
      ]
     },
     "execution_count": 31,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "filt_ren = train_df[train_df['yr_renovated']>0].groupby('yr_renovated')['price'].mean()\n",
    "fig, ax = plt.subplots()\n",
    "ax.scatter(filt_ren.index, filt_ren.values)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "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>id</th>\n",
       "      <th>price</th>\n",
       "      <th>bedrooms</th>\n",
       "      <th>bathrooms</th>\n",
       "      <th>sqft_living</th>\n",
       "      <th>sqft_lot</th>\n",
       "      <th>floors</th>\n",
       "      <th>waterfront</th>\n",
       "      <th>view</th>\n",
       "      <th>condition</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>Unnamed: 0</th>\n",
       "      <td>1.000000e+00</td>\n",
       "      <td>-0.006139</td>\n",
       "      <td>-0.012306</td>\n",
       "      <td>-0.010271</td>\n",
       "      <td>-0.004940</td>\n",
       "      <td>-0.008900</td>\n",
       "      <td>-0.003500</td>\n",
       "      <td>0.010599</td>\n",
       "      <td>-0.008845</td>\n",
       "      <td>-6.278161e-07</td>\n",
       "      <td>-0.001781</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>id</th>\n",
       "      <td>-6.138777e-03</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>-0.015644</td>\n",
       "      <td>-0.001529</td>\n",
       "      <td>0.003833</td>\n",
       "      <td>-0.014251</td>\n",
       "      <td>-0.129837</td>\n",
       "      <td>0.017126</td>\n",
       "      <td>0.000101</td>\n",
       "      <td>1.259374e-02</td>\n",
       "      <td>-0.014272</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>price</th>\n",
       "      <td>-1.230630e-02</td>\n",
       "      <td>-0.015644</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.305106</td>\n",
       "      <td>0.524335</td>\n",
       "      <td>0.703540</td>\n",
       "      <td>0.086803</td>\n",
       "      <td>0.256985</td>\n",
       "      <td>0.275779</td>\n",
       "      <td>3.954851e-01</td>\n",
       "      <td>0.036099</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>bedrooms</th>\n",
       "      <td>-1.027127e-02</td>\n",
       "      <td>-0.001529</td>\n",
       "      <td>0.305106</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.507867</td>\n",
       "      <td>0.570428</td>\n",
       "      <td>0.029375</td>\n",
       "      <td>0.172975</td>\n",
       "      <td>-0.008581</td>\n",
       "      <td>7.974076e-02</td>\n",
       "      <td>0.025266</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>bathrooms</th>\n",
       "      <td>-4.939574e-03</td>\n",
       "      <td>0.003833</td>\n",
       "      <td>0.524335</td>\n",
       "      <td>0.507867</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.755270</td>\n",
       "      <td>0.085470</td>\n",
       "      <td>0.497967</td>\n",
       "      <td>0.065848</td>\n",
       "      <td>1.888170e-01</td>\n",
       "      <td>-0.122976</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>sqft_living</th>\n",
       "      <td>-8.900440e-03</td>\n",
       "      <td>-0.014251</td>\n",
       "      <td>0.703540</td>\n",
       "      <td>0.570428</td>\n",
       "      <td>0.755270</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.166810</td>\n",
       "      <td>0.357169</td>\n",
       "      <td>0.109738</td>\n",
       "      <td>2.833358e-01</td>\n",
       "      <td>-0.061530</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>sqft_lot</th>\n",
       "      <td>-3.500101e-03</td>\n",
       "      <td>-0.129837</td>\n",
       "      <td>0.086803</td>\n",
       "      <td>0.029375</td>\n",
       "      <td>0.085470</td>\n",
       "      <td>0.166810</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>-0.002205</td>\n",
       "      <td>0.015356</td>\n",
       "      <td>7.305841e-02</td>\n",
       "      <td>-0.013715</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>floors</th>\n",
       "      <td>1.059874e-02</td>\n",
       "      <td>0.017126</td>\n",
       "      <td>0.256985</td>\n",
       "      <td>0.172975</td>\n",
       "      <td>0.497967</td>\n",
       "      <td>0.357169</td>\n",
       "      <td>-0.002205</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.025132</td>\n",
       "      <td>2.588299e-02</td>\n",
       "      <td>-0.259230</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>waterfront</th>\n",
       "      <td>-8.844970e-03</td>\n",
       "      <td>0.000101</td>\n",
       "      <td>0.275779</td>\n",
       "      <td>-0.008581</td>\n",
       "      <td>0.065848</td>\n",
       "      <td>0.109738</td>\n",
       "      <td>0.015356</td>\n",
       "      <td>0.025132</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>4.075653e-01</td>\n",
       "      <td>0.009608</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>view</th>\n",
       "      <td>-6.278161e-07</td>\n",
       "      <td>0.012594</td>\n",
       "      <td>0.395485</td>\n",
       "      <td>0.079741</td>\n",
       "      <td>0.188817</td>\n",
       "      <td>0.283336</td>\n",
       "      <td>0.073058</td>\n",
       "      <td>0.025883</td>\n",
       "      <td>0.407565</td>\n",
       "      <td>1.000000e+00</td>\n",
       "      <td>0.045060</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>condition</th>\n",
       "      <td>-1.780728e-03</td>\n",
       "      <td>-0.014272</td>\n",
       "      <td>0.036099</td>\n",
       "      <td>0.025266</td>\n",
       "      <td>-0.122976</td>\n",
       "      <td>-0.061530</td>\n",
       "      <td>-0.013715</td>\n",
       "      <td>-0.259230</td>\n",
       "      <td>0.009608</td>\n",
       "      <td>4.505961e-02</td>\n",
       "      <td>1.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>grade</th>\n",
       "      <td>-5.014634e-03</td>\n",
       "      <td>0.003163</td>\n",
       "      <td>0.666215</td>\n",
       "      <td>0.354679</td>\n",
       "      <td>0.664191</td>\n",
       "      <td>0.762929</td>\n",
       "      <td>0.110320</td>\n",
       "      <td>0.458984</td>\n",
       "      <td>0.092234</td>\n",
       "      <td>2.495544e-01</td>\n",
       "      <td>-0.142066</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>sqft_above</th>\n",
       "      <td>-3.406218e-03</td>\n",
       "      <td>-0.013932</td>\n",
       "      <td>0.607760</td>\n",
       "      <td>0.472492</td>\n",
       "      <td>0.686853</td>\n",
       "      <td>0.876696</td>\n",
       "      <td>0.180755</td>\n",
       "      <td>0.528509</td>\n",
       "      <td>0.077162</td>\n",
       "      <td>1.647470e-01</td>\n",
       "      <td>-0.157466</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>sqft_basement</th>\n",
       "      <td>-1.210401e-02</td>\n",
       "      <td>-0.003516</td>\n",
       "      <td>0.323312</td>\n",
       "      <td>0.300085</td>\n",
       "      <td>0.282700</td>\n",
       "      <td>0.435529</td>\n",
       "      <td>0.008065</td>\n",
       "      <td>-0.247481</td>\n",
       "      <td>0.083433</td>\n",
       "      <td>2.799385e-01</td>\n",
       "      <td>0.166923</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>yr_built</th>\n",
       "      <td>7.495925e-03</td>\n",
       "      <td>0.013697</td>\n",
       "      <td>0.056450</td>\n",
       "      <td>0.153769</td>\n",
       "      <td>0.507761</td>\n",
       "      <td>0.319397</td>\n",
       "      <td>0.054228</td>\n",
       "      <td>0.483657</td>\n",
       "      <td>-0.021981</td>\n",
       "      <td>-4.959272e-02</td>\n",
       "      <td>-0.358921</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>yr_renovated</th>\n",
       "      <td>-3.423178e-03</td>\n",
       "      <td>-0.019560</td>\n",
       "      <td>0.117770</td>\n",
       "      <td>0.013679</td>\n",
       "      <td>0.048140</td>\n",
       "      <td>0.051448</td>\n",
       "      <td>0.004520</td>\n",
       "      <td>0.005985</td>\n",
       "      <td>0.094268</td>\n",
       "      <td>9.129115e-02</td>\n",
       "      <td>-0.060969</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>zipcode</th>\n",
       "      <td>6.217517e-03</td>\n",
       "      <td>-0.008166</td>\n",
       "      <td>-0.048958</td>\n",
       "      <td>-0.147515</td>\n",
       "      <td>-0.201527</td>\n",
       "      <td>-0.195893</td>\n",
       "      <td>-0.126590</td>\n",
       "      <td>-0.060560</td>\n",
       "      <td>0.034282</td>\n",
       "      <td>8.947529e-02</td>\n",
       "      <td>0.007068</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>lat</th>\n",
       "      <td>2.469575e-03</td>\n",
       "      <td>-0.001865</td>\n",
       "      <td>0.302394</td>\n",
       "      <td>-0.002170</td>\n",
       "      <td>0.023074</td>\n",
       "      <td>0.052646</td>\n",
       "      <td>-0.082029</td>\n",
       "      <td>0.048227</td>\n",
       "      <td>-0.013331</td>\n",
       "      <td>3.819731e-03</td>\n",
       "      <td>-0.009927</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>long</th>\n",
       "      <td>-6.991705e-03</td>\n",
       "      <td>0.017388</td>\n",
       "      <td>0.019327</td>\n",
       "      <td>0.124279</td>\n",
       "      <td>0.221308</td>\n",
       "      <td>0.234453</td>\n",
       "      <td>0.226190</td>\n",
       "      <td>0.128795</td>\n",
       "      <td>-0.042728</td>\n",
       "      <td>-7.757235e-02</td>\n",
       "      <td>-0.109200</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>sqft_living15</th>\n",
       "      <td>-8.961176e-03</td>\n",
       "      <td>-0.007494</td>\n",
       "      <td>0.585567</td>\n",
       "      <td>0.387589</td>\n",
       "      <td>0.568080</td>\n",
       "      <td>0.755066</td>\n",
       "      <td>0.136959</td>\n",
       "      <td>0.283933</td>\n",
       "      <td>0.091090</td>\n",
       "      <td>2.799990e-01</td>\n",
       "      <td>-0.094307</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>sqft_lot15</th>\n",
       "      <td>4.630729e-04</td>\n",
       "      <td>-0.139605</td>\n",
       "      <td>0.081423</td>\n",
       "      <td>0.026665</td>\n",
       "      <td>0.086499</td>\n",
       "      <td>0.179570</td>\n",
       "      <td>0.701875</td>\n",
       "      <td>-0.008170</td>\n",
       "      <td>0.026895</td>\n",
       "      <td>7.318502e-02</td>\n",
       "      <td>-0.007125</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                 Unnamed: 0        id     price  bedrooms  bathrooms  \\\n",
       "Unnamed: 0     1.000000e+00 -0.006139 -0.012306 -0.010271  -0.004940   \n",
       "id            -6.138777e-03  1.000000 -0.015644 -0.001529   0.003833   \n",
       "price         -1.230630e-02 -0.015644  1.000000  0.305106   0.524335   \n",
       "bedrooms      -1.027127e-02 -0.001529  0.305106  1.000000   0.507867   \n",
       "bathrooms     -4.939574e-03  0.003833  0.524335  0.507867   1.000000   \n",
       "sqft_living   -8.900440e-03 -0.014251  0.703540  0.570428   0.755270   \n",
       "sqft_lot      -3.500101e-03 -0.129837  0.086803  0.029375   0.085470   \n",
       "floors         1.059874e-02  0.017126  0.256985  0.172975   0.497967   \n",
       "waterfront    -8.844970e-03  0.000101  0.275779 -0.008581   0.065848   \n",
       "view          -6.278161e-07  0.012594  0.395485  0.079741   0.188817   \n",
       "condition     -1.780728e-03 -0.014272  0.036099  0.025266  -0.122976   \n",
       "grade         -5.014634e-03  0.003163  0.666215  0.354679   0.664191   \n",
       "sqft_above    -3.406218e-03 -0.013932  0.607760  0.472492   0.686853   \n",
       "sqft_basement -1.210401e-02 -0.003516  0.323312  0.300085   0.282700   \n",
       "yr_built       7.495925e-03  0.013697  0.056450  0.153769   0.507761   \n",
       "yr_renovated  -3.423178e-03 -0.019560  0.117770  0.013679   0.048140   \n",
       "zipcode        6.217517e-03 -0.008166 -0.048958 -0.147515  -0.201527   \n",
       "lat            2.469575e-03 -0.001865  0.302394 -0.002170   0.023074   \n",
       "long          -6.991705e-03  0.017388  0.019327  0.124279   0.221308   \n",
       "sqft_living15 -8.961176e-03 -0.007494  0.585567  0.387589   0.568080   \n",
       "sqft_lot15     4.630729e-04 -0.139605  0.081423  0.026665   0.086499   \n",
       "\n",
       "               sqft_living  sqft_lot    floors  waterfront          view  \\\n",
       "Unnamed: 0       -0.008900 -0.003500  0.010599   -0.008845 -6.278161e-07   \n",
       "id               -0.014251 -0.129837  0.017126    0.000101  1.259374e-02   \n",
       "price             0.703540  0.086803  0.256985    0.275779  3.954851e-01   \n",
       "bedrooms          0.570428  0.029375  0.172975   -0.008581  7.974076e-02   \n",
       "bathrooms         0.755270  0.085470  0.497967    0.065848  1.888170e-01   \n",
       "sqft_living       1.000000  0.166810  0.357169    0.109738  2.833358e-01   \n",
       "sqft_lot          0.166810  1.000000 -0.002205    0.015356  7.305841e-02   \n",
       "floors            0.357169 -0.002205  1.000000    0.025132  2.588299e-02   \n",
       "waterfront        0.109738  0.015356  0.025132    1.000000  4.075653e-01   \n",
       "view              0.283336  0.073058  0.025883    0.407565  1.000000e+00   \n",
       "condition        -0.061530 -0.013715 -0.259230    0.009608  4.505961e-02   \n",
       "grade             0.762929  0.110320  0.458984    0.092234  2.495544e-01   \n",
       "sqft_above        0.876696  0.180755  0.528509    0.077162  1.647470e-01   \n",
       "sqft_basement     0.435529  0.008065 -0.247481    0.083433  2.799385e-01   \n",
       "yr_built          0.319397  0.054228  0.483657   -0.021981 -4.959272e-02   \n",
       "yr_renovated      0.051448  0.004520  0.005985    0.094268  9.129115e-02   \n",
       "zipcode          -0.195893 -0.126590 -0.060560    0.034282  8.947529e-02   \n",
       "lat               0.052646 -0.082029  0.048227   -0.013331  3.819731e-03   \n",
       "long              0.234453  0.226190  0.128795   -0.042728 -7.757235e-02   \n",
       "sqft_living15     0.755066  0.136959  0.283933    0.091090  2.799990e-01   \n",
       "sqft_lot15        0.179570  0.701875 -0.008170    0.026895  7.318502e-02   \n",
       "\n",
       "               condition  \n",
       "Unnamed: 0     -0.001781  \n",
       "id             -0.014272  \n",
       "price           0.036099  \n",
       "bedrooms        0.025266  \n",
       "bathrooms      -0.122976  \n",
       "sqft_living    -0.061530  \n",
       "sqft_lot       -0.013715  \n",
       "floors         -0.259230  \n",
       "waterfront      0.009608  \n",
       "view            0.045060  \n",
       "condition       1.000000  \n",
       "grade          -0.142066  \n",
       "sqft_above     -0.157466  \n",
       "sqft_basement   0.166923  \n",
       "yr_built       -0.358921  \n",
       "yr_renovated   -0.060969  \n",
       "zipcode         0.007068  \n",
       "lat            -0.009927  \n",
       "long           -0.109200  \n",
       "sqft_living15  -0.094307  \n",
       "sqft_lot15     -0.007125  "
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "train_df.corr().iloc[:,:11]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>grade</th>\n",
       "      <th>sqft_above</th>\n",
       "      <th>sqft_basement</th>\n",
       "      <th>yr_built</th>\n",
       "      <th>yr_renovated</th>\n",
       "      <th>zipcode</th>\n",
       "      <th>lat</th>\n",
       "      <th>long</th>\n",
       "      <th>sqft_living15</th>\n",
       "      <th>sqft_lot15</th>\n",
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       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>Unnamed: 0</th>\n",
       "      <td>-0.005015</td>\n",
       "      <td>-0.003406</td>\n",
       "      <td>-0.012104</td>\n",
       "      <td>0.007496</td>\n",
       "      <td>-0.003423</td>\n",
       "      <td>0.006218</td>\n",
       "      <td>0.002470</td>\n",
       "      <td>-0.006992</td>\n",
       "      <td>-0.008961</td>\n",
       "      <td>0.000463</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>id</th>\n",
       "      <td>0.003163</td>\n",
       "      <td>-0.013932</td>\n",
       "      <td>-0.003516</td>\n",
       "      <td>0.013697</td>\n",
       "      <td>-0.019560</td>\n",
       "      <td>-0.008166</td>\n",
       "      <td>-0.001865</td>\n",
       "      <td>0.017388</td>\n",
       "      <td>-0.007494</td>\n",
       "      <td>-0.139605</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>price</th>\n",
       "      <td>0.666215</td>\n",
       "      <td>0.607760</td>\n",
       "      <td>0.323312</td>\n",
       "      <td>0.056450</td>\n",
       "      <td>0.117770</td>\n",
       "      <td>-0.048958</td>\n",
       "      <td>0.302394</td>\n",
       "      <td>0.019327</td>\n",
       "      <td>0.585567</td>\n",
       "      <td>0.081423</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>bedrooms</th>\n",
       "      <td>0.354679</td>\n",
       "      <td>0.472492</td>\n",
       "      <td>0.300085</td>\n",
       "      <td>0.153769</td>\n",
       "      <td>0.013679</td>\n",
       "      <td>-0.147515</td>\n",
       "      <td>-0.002170</td>\n",
       "      <td>0.124279</td>\n",
       "      <td>0.387589</td>\n",
       "      <td>0.026665</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>bathrooms</th>\n",
       "      <td>0.664191</td>\n",
       "      <td>0.686853</td>\n",
       "      <td>0.282700</td>\n",
       "      <td>0.507761</td>\n",
       "      <td>0.048140</td>\n",
       "      <td>-0.201527</td>\n",
       "      <td>0.023074</td>\n",
       "      <td>0.221308</td>\n",
       "      <td>0.568080</td>\n",
       "      <td>0.086499</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>sqft_living</th>\n",
       "      <td>0.762929</td>\n",
       "      <td>0.876696</td>\n",
       "      <td>0.435529</td>\n",
       "      <td>0.319397</td>\n",
       "      <td>0.051448</td>\n",
       "      <td>-0.195893</td>\n",
       "      <td>0.052646</td>\n",
       "      <td>0.234453</td>\n",
       "      <td>0.755066</td>\n",
       "      <td>0.179570</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>sqft_lot</th>\n",
       "      <td>0.110320</td>\n",
       "      <td>0.180755</td>\n",
       "      <td>0.008065</td>\n",
       "      <td>0.054228</td>\n",
       "      <td>0.004520</td>\n",
       "      <td>-0.126590</td>\n",
       "      <td>-0.082029</td>\n",
       "      <td>0.226190</td>\n",
       "      <td>0.136959</td>\n",
       "      <td>0.701875</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>floors</th>\n",
       "      <td>0.458984</td>\n",
       "      <td>0.528509</td>\n",
       "      <td>-0.247481</td>\n",
       "      <td>0.483657</td>\n",
       "      <td>0.005985</td>\n",
       "      <td>-0.060560</td>\n",
       "      <td>0.048227</td>\n",
       "      <td>0.128795</td>\n",
       "      <td>0.283933</td>\n",
       "      <td>-0.008170</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>waterfront</th>\n",
       "      <td>0.092234</td>\n",
       "      <td>0.077162</td>\n",
       "      <td>0.083433</td>\n",
       "      <td>-0.021981</td>\n",
       "      <td>0.094268</td>\n",
       "      <td>0.034282</td>\n",
       "      <td>-0.013331</td>\n",
       "      <td>-0.042728</td>\n",
       "      <td>0.091090</td>\n",
       "      <td>0.026895</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>view</th>\n",
       "      <td>0.249554</td>\n",
       "      <td>0.164747</td>\n",
       "      <td>0.279939</td>\n",
       "      <td>-0.049593</td>\n",
       "      <td>0.091291</td>\n",
       "      <td>0.089475</td>\n",
       "      <td>0.003820</td>\n",
       "      <td>-0.077572</td>\n",
       "      <td>0.279999</td>\n",
       "      <td>0.073185</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>condition</th>\n",
       "      <td>-0.142066</td>\n",
       "      <td>-0.157466</td>\n",
       "      <td>0.166923</td>\n",
       "      <td>-0.358921</td>\n",
       "      <td>-0.060969</td>\n",
       "      <td>0.007068</td>\n",
       "      <td>-0.009927</td>\n",
       "      <td>-0.109200</td>\n",
       "      <td>-0.094307</td>\n",
       "      <td>-0.007125</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>grade</th>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.758247</td>\n",
       "      <td>0.165003</td>\n",
       "      <td>0.448003</td>\n",
       "      <td>0.007988</td>\n",
       "      <td>-0.184946</td>\n",
       "      <td>0.116196</td>\n",
       "      <td>0.198369</td>\n",
       "      <td>0.715745</td>\n",
       "      <td>0.116062</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>sqft_above</th>\n",
       "      <td>0.758247</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>-0.051199</td>\n",
       "      <td>0.424328</td>\n",
       "      <td>0.020413</td>\n",
       "      <td>-0.259745</td>\n",
       "      <td>0.001374</td>\n",
       "      <td>0.338192</td>\n",
       "      <td>0.731077</td>\n",
       "      <td>0.193874</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>sqft_basement</th>\n",
       "      <td>0.165003</td>\n",
       "      <td>-0.051199</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>-0.130948</td>\n",
       "      <td>0.068611</td>\n",
       "      <td>0.079368</td>\n",
       "      <td>0.106727</td>\n",
       "      <td>-0.146112</td>\n",
       "      <td>0.199521</td>\n",
       "      <td>0.010007</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>yr_built</th>\n",
       "      <td>0.448003</td>\n",
       "      <td>0.424328</td>\n",
       "      <td>-0.130948</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>-0.222668</td>\n",
       "      <td>-0.348366</td>\n",
       "      <td>-0.145220</td>\n",
       "      <td>0.407768</td>\n",
       "      <td>0.332340</td>\n",
       "      <td>0.076624</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>yr_renovated</th>\n",
       "      <td>0.007988</td>\n",
       "      <td>0.020413</td>\n",
       "      <td>0.068611</td>\n",
       "      <td>-0.222668</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.063641</td>\n",
       "      <td>0.027804</td>\n",
       "      <td>-0.061159</td>\n",
       "      <td>-0.010221</td>\n",
       "      <td>0.004489</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>zipcode</th>\n",
       "      <td>-0.184946</td>\n",
       "      <td>-0.259745</td>\n",
       "      <td>0.079368</td>\n",
       "      <td>-0.348366</td>\n",
       "      <td>0.063641</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.264712</td>\n",
       "      <td>-0.563027</td>\n",
       "      <td>-0.273903</td>\n",
       "      <td>-0.145921</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>lat</th>\n",
       "      <td>0.116196</td>\n",
       "      <td>0.001374</td>\n",
       "      <td>0.106727</td>\n",
       "      <td>-0.145220</td>\n",
       "      <td>0.027804</td>\n",
       "      <td>0.264712</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>-0.131514</td>\n",
       "      <td>0.054175</td>\n",
       "      <td>-0.086265</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>long</th>\n",
       "      <td>0.198369</td>\n",
       "      <td>0.338192</td>\n",
       "      <td>-0.146112</td>\n",
       "      <td>0.407768</td>\n",
       "      <td>-0.061159</td>\n",
       "      <td>-0.563027</td>\n",
       "      <td>-0.131514</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.327882</td>\n",
       "      <td>0.253981</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>sqft_living15</th>\n",
       "      <td>0.715745</td>\n",
       "      <td>0.731077</td>\n",
       "      <td>0.199521</td>\n",
       "      <td>0.332340</td>\n",
       "      <td>-0.010221</td>\n",
       "      <td>-0.273903</td>\n",
       "      <td>0.054175</td>\n",
       "      <td>0.327882</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.178533</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>sqft_lot15</th>\n",
       "      <td>0.116062</td>\n",
       "      <td>0.193874</td>\n",
       "      <td>0.010007</td>\n",
       "      <td>0.076624</td>\n",
       "      <td>0.004489</td>\n",
       "      <td>-0.145921</td>\n",
       "      <td>-0.086265</td>\n",
       "      <td>0.253981</td>\n",
       "      <td>0.178533</td>\n",
       "      <td>1.000000</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                  grade  sqft_above  sqft_basement  yr_built  yr_renovated  \\\n",
       "Unnamed: 0    -0.005015   -0.003406      -0.012104  0.007496     -0.003423   \n",
       "id             0.003163   -0.013932      -0.003516  0.013697     -0.019560   \n",
       "price          0.666215    0.607760       0.323312  0.056450      0.117770   \n",
       "bedrooms       0.354679    0.472492       0.300085  0.153769      0.013679   \n",
       "bathrooms      0.664191    0.686853       0.282700  0.507761      0.048140   \n",
       "sqft_living    0.762929    0.876696       0.435529  0.319397      0.051448   \n",
       "sqft_lot       0.110320    0.180755       0.008065  0.054228      0.004520   \n",
       "floors         0.458984    0.528509      -0.247481  0.483657      0.005985   \n",
       "waterfront     0.092234    0.077162       0.083433 -0.021981      0.094268   \n",
       "view           0.249554    0.164747       0.279939 -0.049593      0.091291   \n",
       "condition     -0.142066   -0.157466       0.166923 -0.358921     -0.060969   \n",
       "grade          1.000000    0.758247       0.165003  0.448003      0.007988   \n",
       "sqft_above     0.758247    1.000000      -0.051199  0.424328      0.020413   \n",
       "sqft_basement  0.165003   -0.051199       1.000000 -0.130948      0.068611   \n",
       "yr_built       0.448003    0.424328      -0.130948  1.000000     -0.222668   \n",
       "yr_renovated   0.007988    0.020413       0.068611 -0.222668      1.000000   \n",
       "zipcode       -0.184946   -0.259745       0.079368 -0.348366      0.063641   \n",
       "lat            0.116196    0.001374       0.106727 -0.145220      0.027804   \n",
       "long           0.198369    0.338192      -0.146112  0.407768     -0.061159   \n",
       "sqft_living15  0.715745    0.731077       0.199521  0.332340     -0.010221   \n",
       "sqft_lot15     0.116062    0.193874       0.010007  0.076624      0.004489   \n",
       "\n",
       "                zipcode       lat      long  sqft_living15  sqft_lot15  \n",
       "Unnamed: 0     0.006218  0.002470 -0.006992      -0.008961    0.000463  \n",
       "id            -0.008166 -0.001865  0.017388      -0.007494   -0.139605  \n",
       "price         -0.048958  0.302394  0.019327       0.585567    0.081423  \n",
       "bedrooms      -0.147515 -0.002170  0.124279       0.387589    0.026665  \n",
       "bathrooms     -0.201527  0.023074  0.221308       0.568080    0.086499  \n",
       "sqft_living   -0.195893  0.052646  0.234453       0.755066    0.179570  \n",
       "sqft_lot      -0.126590 -0.082029  0.226190       0.136959    0.701875  \n",
       "floors        -0.060560  0.048227  0.128795       0.283933   -0.008170  \n",
       "waterfront     0.034282 -0.013331 -0.042728       0.091090    0.026895  \n",
       "view           0.089475  0.003820 -0.077572       0.279999    0.073185  \n",
       "condition      0.007068 -0.009927 -0.109200      -0.094307   -0.007125  \n",
       "grade         -0.184946  0.116196  0.198369       0.715745    0.116062  \n",
       "sqft_above    -0.259745  0.001374  0.338192       0.731077    0.193874  \n",
       "sqft_basement  0.079368  0.106727 -0.146112       0.199521    0.010007  \n",
       "yr_built      -0.348366 -0.145220  0.407768       0.332340    0.076624  \n",
       "yr_renovated   0.063641  0.027804 -0.061159      -0.010221    0.004489  \n",
       "zipcode        1.000000  0.264712 -0.563027      -0.273903   -0.145921  \n",
       "lat            0.264712  1.000000 -0.131514       0.054175   -0.086265  \n",
       "long          -0.563027 -0.131514  1.000000       0.327882    0.253981  \n",
       "sqft_living15 -0.273903  0.054175  0.327882       1.000000    0.178533  \n",
       "sqft_lot15    -0.145921 -0.086265  0.253981       0.178533    1.000000  "
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "train_df.corr().iloc[:,11:]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "yr_renovated\n",
       "0       4184\n",
       "1946       1\n",
       "1957       1\n",
       "1958       2\n",
       "1960       1\n",
       "1964       2\n",
       "1965       3\n",
       "1968       1\n",
       "1970       2\n",
       "1972       2\n",
       "1974       1\n",
       "1975       1\n",
       "1979       2\n",
       "1980       1\n",
       "1981       1\n",
       "1983       1\n",
       "1984       4\n",
       "1986       2\n",
       "1987       2\n",
       "1988       4\n",
       "1989       3\n",
       "1990       1\n",
       "1991       3\n",
       "1992       3\n",
       "1993       4\n",
       "1994       2\n",
       "1995       3\n",
       "1996       4\n",
       "1997       3\n",
       "1998       5\n",
       "1999       3\n",
       "2000       5\n",
       "2001       3\n",
       "2002       1\n",
       "2003       4\n",
       "2004       3\n",
       "2005       4\n",
       "2006       7\n",
       "2007      10\n",
       "2008       3\n",
       "2009       5\n",
       "2011       2\n",
       "2012       2\n",
       "2013       7\n",
       "2014      13\n",
       "2015       2\n",
       "Name: grade, dtype: int64"
      ]
     },
     "execution_count": 33,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "test_df.groupby('yr_renovated')['grade'].count()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
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