lectures/11_feature-importances.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "# CPSC 330 Lecture 11"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Lecture plan\n",
    "\n",
    "- 👋\n",
    "- **Turn on recording**\n",
    "- Announcements\n",
    "- True/False from last class (10 min)\n",
    "- Ensembling with regression (5 min)\n",
    "- Prediction intervals (20 min)\n",
    "- Break (5 min)\n",
    "- Feature importances: linear regression (30 min)\n",
    "- Feature importances: beyond linear models (20 min)\n",
    "\n",
    "Note: this lecture is too long\n",
    "\n",
    "Piazza:\n",
    "\n",
    "- T/F questions \n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Learning objectives\n",
    "\n",
    "- Apply ensemble methods to regression problems\n",
    "- Generate prediction intervals using quantile regression\n",
    "- Communicate about uncertainty of predictions in regression problems\n",
    "- Interpret the coefficients of linear regression, including for scaled numeric variables\n",
    "- Resist the urge to interpret coefficients / feature importances as having a causal relationship\n",
    "- Apply SHAP to assess measure importances and interpret model predictions"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "slideshow": {
     "slide_type": "skip"
    }
   },
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import pandas as pd\n",
    "import scipy.stats\n",
    "\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "from sklearn.model_selection import train_test_split, cross_val_score, cross_validate\n",
    "from sklearn.preprocessing import normalize, scale, Normalizer, StandardScaler, OrdinalEncoder, OneHotEncoder\n",
    "from sklearn.linear_model import LogisticRegression, LinearRegression, Ridge\n",
    "from sklearn.ensemble import RandomForestRegressor, VotingRegressor, StackingRegressor, GradientBoostingRegressor\n",
    "from sklearn.dummy import DummyRegressor\n",
    "from sklearn.tree import DecisionTreeRegressor\n",
    "from sklearn.impute import SimpleImputer\n",
    "from sklearn.compose import ColumnTransformer\n",
    "from sklearn.pipeline import Pipeline, make_pipeline\n",
    "from sklearn.metrics import r2_score, mean_squared_error\n",
    "\n",
    "from xgboost import XGBRegressor\n",
    "from lightgbm import LGBMRegressor\n",
    "\n",
    "import shap"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "from utils import cross_validate_std"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "plt.rcParams['font.size'] = 16"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "def mape(true, pred):\n",
    "    \"\"\"\n",
    "    Compute the Mean Absolute Percent Error (MAPE)\n",
    "    given true target values and predictions.    \n",
    "    \"\"\"\n",
    "    return 100.*np.mean(np.abs((pred - true)/true))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Announcements\n",
    "\n",
    "- 2nd half of Lecture 10 recording was lost\n",
    "- I re-recorded and posted on course README (not Canvas)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Data processing code from last class"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "df = pd.read_csv(\"data/housing.csv\", index_col=0)\n",
    "\n",
    "df_train, df_test = train_test_split(df, random_state=123)\n",
    "\n",
    "X_train = df_train.drop(columns=['SalePrice'])\n",
    "y_train = df_train['SalePrice']\n",
    "\n",
    "X_test = df_test.drop(columns=['SalePrice'])\n",
    "y_test = df_test['SalePrice']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "numeric_features     = ['LotFrontage', 'LotArea', 'OverallQual', 'OverallCond', 'YearBuilt', \n",
    "                        'YearRemodAdd', 'MasVnrArea', 'BsmtFinSF1', 'BsmtFinSF2', 'BsmtUnfSF', \n",
    "                        'TotalBsmtSF', '1stFlrSF', '2ndFlrSF', 'LowQualFinSF', 'GrLivArea', \n",
    "                        'BsmtFullBath', 'BsmtHalfBath', 'FullBath', 'HalfBath', \n",
    "                        'TotRmsAbvGrd', 'Fireplaces', 'GarageYrBlt', 'GarageCars', \n",
    "                        'GarageArea', 'WoodDeckSF', 'OpenPorchSF', 'EnclosedPorch', '3SsnPorch', \n",
    "                        'ScreenPorch', 'PoolArea', 'MiscVal', 'YrSold']\n",
    "ordinal_features_reg = ['ExterQual', 'ExterCond', 'BsmtQual', 'BsmtCond', 'HeatingQC', \n",
    "                        'KitchenQual', 'FireplaceQu', 'GarageQual', 'GarageCond', 'PoolQC']\n",
    "ordinal_features_oth = ['BsmtExposure', 'BsmtFinType1', 'BsmtFinType2', \n",
    "                        'Functional',  'Fence']\n",
    "categorical_features = list(set(X_train.columns) - set(numeric_features) - set(ordinal_features_reg))\n",
    "\n",
    "ordering = ['Po', 'Fa', 'TA', 'Gd', 'Ex']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "numeric_preprocessing = make_pipeline(SimpleImputer(strategy='median'), \n",
    "                                      StandardScaler())\n",
    "ordinal_preprocessing = make_pipeline(SimpleImputer(strategy='most_frequent'), \n",
    "                                      OrdinalEncoder(categories=[ordering]*len(ordinal_features_reg)))\n",
    "categorical_preprocessing = make_pipeline(SimpleImputer(strategy='constant', fill_value=\"?\"),\n",
    "                                          OneHotEncoder(handle_unknown='ignore', sparse=False))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "preprocessing = ColumnTransformer([\n",
    "    ('numeric', numeric_preprocessing, numeric_features),\n",
    "    ('ordinal', ordinal_preprocessing, ordinal_features_reg),\n",
    "    ('categorical', categorical_preprocessing, categorical_features)\n",
    "])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "preprocessing.fit(X_train);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "ohe_columns = list(preprocessing.named_transformers_['categorical'].named_steps['onehotencoder'].get_feature_names(categorical_features))\n",
    "new_columns = numeric_features + ordinal_features_reg + ohe_columns"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
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       "      LotFrontage   LotArea  OverallQual  OverallCond  YearBuilt  \\\n",
       "Id                                                                 \n",
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       "68       0.140824  0.038184     0.647021    -0.508295   1.059984   \n",
       "...           ...       ...          ...          ...        ...   \n",
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       "1123    -0.046315 -0.143414    -1.486980    -2.272427  -0.478428   \n",
       "1347    -0.046315  1.094567     0.647021     1.255836  -0.085642   \n",
       "1407     0.047255 -0.193644    -0.775646     1.255836   0.045287   \n",
       "1390    -0.420591 -0.448968    -0.064312     0.373770  -0.969410   \n",
       "\n",
       "      YearRemodAdd  MasVnrArea  BsmtFinSF1  BsmtFinSF2  BsmtUnfSF  ...  \\\n",
       "Id                                                                 ...   \n",
       "1447     -1.105566    0.491436    0.327430   -0.284980   0.064219  ...   \n",
       "1124      1.117128   -0.569906   -0.942714   -0.284980   0.297501  ...   \n",
       "187       0.295697   -0.569906    0.365985   -0.284980   0.023451  ...   \n",
       "1021      0.972169   -0.569906    1.250588   -0.284980  -1.038776  ...   \n",
       "68        0.875531    0.367894    1.227027   -0.284980  -0.286837  ...   \n",
       "...            ...         ...         ...         ...        ...  ...   \n",
       "1042      0.730572    0.845217   -0.085956    0.100152  -0.522384  ...   \n",
       "1123     -1.395483   -0.569906   -0.942714   -0.284980   0.238615  ...   \n",
       "1347      0.875531   -0.569906   -0.306571    0.124223   1.441264  ...   \n",
       "1407      1.068808   -0.569906    0.462370   -0.284980  -1.029716  ...   \n",
       "1390     -1.685400   -0.569906   -0.139503   -0.284980  -0.468027  ...   \n",
       "\n",
       "      Street_Pave  Electrical_?  Electrical_FuseA  Electrical_FuseF  \\\n",
       "Id                                                                    \n",
       "1447          1.0           0.0               0.0               0.0   \n",
       "1124          1.0           0.0               0.0               0.0   \n",
       "187           1.0           0.0               0.0               0.0   \n",
       "1021          1.0           0.0               0.0               0.0   \n",
       "68            1.0           0.0               0.0               0.0   \n",
       "...           ...           ...               ...               ...   \n",
       "1042          1.0           0.0               0.0               0.0   \n",
       "1123          1.0           0.0               1.0               0.0   \n",
       "1347          1.0           0.0               0.0               0.0   \n",
       "1407          1.0           0.0               0.0               0.0   \n",
       "1390          1.0           0.0               0.0               0.0   \n",
       "\n",
       "      Electrical_FuseP  Electrical_Mix  Electrical_SBrkr  Alley_?  Alley_Grvl  \\\n",
       "Id                                                                              \n",
       "1447               0.0             0.0               1.0      1.0         0.0   \n",
       "1124               0.0             0.0               1.0      1.0         0.0   \n",
       "187                0.0             0.0               1.0      1.0         0.0   \n",
       "1021               0.0             0.0               1.0      1.0         0.0   \n",
       "68                 0.0             0.0               1.0      1.0         0.0   \n",
       "...                ...             ...               ...      ...         ...   \n",
       "1042               0.0             0.0               1.0      1.0         0.0   \n",
       "1123               0.0             0.0               0.0      1.0         0.0   \n",
       "1347               0.0             0.0               1.0      1.0         0.0   \n",
       "1407               0.0             0.0               1.0      1.0         0.0   \n",
       "1390               0.0             0.0               1.0      1.0         0.0   \n",
       "\n",
       "      Alley_Pave  \n",
       "Id                \n",
       "1447         0.0  \n",
       "1124         0.0  \n",
       "187          0.0  \n",
       "1021         0.0  \n",
       "68           0.0  \n",
       "...          ...  \n",
       "1042         0.0  \n",
       "1123         0.0  \n",
       "1347         0.0  \n",
       "1407         0.0  \n",
       "1390         0.0  \n",
       "\n",
       "[1095 rows x 292 columns]"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "X_train_enc = pd.DataFrame(preprocessing.transform(X_train), index=X_train.index, columns=new_columns)\n",
    "X_train_enc"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Ensembling with Regression (5 min)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "- Last week we talked about ensembles. \n",
    "- There are regression analogues of the ensemble methods we covered.\n",
    "  - `VotingClassifier` -> `VotingRegressor`\n",
    "  - `StackingClassifier` -> `StackingRegressor`\n",
    "- There are also regression analogues for the fancy trees, e.g. `XGBRegressor`. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "regressors = {\n",
    "    'linear regression' : make_pipeline(preprocessing, Ridge()),\n",
    "    'decision tree' : make_pipeline(preprocessing, DecisionTreeRegressor()),\n",
    "    'random forest' : make_pipeline(preprocessing, RandomForestRegressor(n_estimators=10, random_state=999)),\n",
    "    'XGBoost' : make_pipeline(preprocessing, XGBRegressor(random_state=999)) \n",
    "}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "results_dict = {name: cross_validate_std(regressor, X_train, y_train, return_train_score=True) for name, regressor in regressors.items()}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "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>fit_time</th>\n",
       "      <th>score_time</th>\n",
       "      <th>test_score</th>\n",
       "      <th>train_score</th>\n",
       "      <th>std_test_score</th>\n",
       "      <th>std_train_score</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>XGBoost</th>\n",
       "      <td>2.125803</td>\n",
       "      <td>0.036285</td>\n",
       "      <td>0.821349</td>\n",
       "      <td>0.999903</td>\n",
       "      <td>0.059892</td>\n",
       "      <td>0.000018</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>random forest</th>\n",
       "      <td>0.399689</td>\n",
       "      <td>0.030263</td>\n",
       "      <td>0.820534</td>\n",
       "      <td>0.971360</td>\n",
       "      <td>0.042079</td>\n",
       "      <td>0.002557</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>linear regression</th>\n",
       "      <td>0.094571</td>\n",
       "      <td>0.030287</td>\n",
       "      <td>0.725838</td>\n",
       "      <td>0.928608</td>\n",
       "      <td>0.174656</td>\n",
       "      <td>0.004207</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>decision tree</th>\n",
       "      <td>0.131873</td>\n",
       "      <td>0.026532</td>\n",
       "      <td>0.685167</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.053411</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                   fit_time  score_time  test_score  train_score  \\\n",
       "XGBoost            2.125803    0.036285    0.821349     0.999903   \n",
       "random forest      0.399689    0.030263    0.820534     0.971360   \n",
       "linear regression  0.094571    0.030287    0.725838     0.928608   \n",
       "decision tree      0.131873    0.026532    0.685167     1.000000   \n",
       "\n",
       "                   std_test_score  std_train_score  \n",
       "XGBoost                  0.059892         0.000018  \n",
       "random forest            0.042079         0.002557  \n",
       "linear regression        0.174656         0.004207  \n",
       "decision tree            0.053411         0.000000  "
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "results_df = pd.DataFrame(results_dict).T.sort_values(by=[\"test_score\"], ascending=False)\n",
    "results_df"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's try averaging:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [],
   "source": [
    "averaging_model = VotingRegressor(list(regressors.items()))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [],
   "source": [
    "averaging_model.fit(X_train, y_train);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "fit_time           2.051922\n",
       "score_time         0.107451\n",
       "test_score         0.840484\n",
       "train_score        0.990523\n",
       "std_test_score     0.047923\n",
       "std_train_score    0.000306\n",
       "dtype: float64"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "cross_validate_std(averaging_model, X_train, y_train, return_train_score=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's look at how the predictions are generated:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "227106.79277562269"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "averaging_model.predict(X_test[:1])[0]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
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       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Prediction</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>linear regression</th>\n",
       "      <td>222545.436727</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>decision tree</th>\n",
       "      <td>228000.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>random forest</th>\n",
       "      <td>229680.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>XGBoost</th>\n",
       "      <td>228201.734375</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                      Prediction\n",
       "linear regression  222545.436727\n",
       "decision tree      228000.000000\n",
       "random forest      229680.000000\n",
       "XGBoost            228201.734375"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "r = {name : regressor.predict(X_test[:1])[0] for name, regressor in averaging_model.named_estimators_.items()}\n",
    "r = pd.DataFrame(r, index=[\"Prediction\"]).T\n",
    "r"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Prediction    227106.792776\n",
       "dtype: float64"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "r.mean()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "- Note the prediction above is exactly the average of these 4 predictions. \n",
    "- Contrast with hard/soft voting from the classification case."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "For Stacking, our meta-model is now `Ridge` instead of `LogisticRegression` by default:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [],
   "source": [
    "stacking_model = StackingRegressor(list(regressors.items()))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [],
   "source": [
    "stacking_model.fit(X_train, y_train);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "fit_time           12.128206\n",
       "score_time          0.097889\n",
       "test_score          0.809692\n",
       "train_score         0.989974\n",
       "std_test_score      0.075362\n",
       "std_train_score     0.011673\n",
       "dtype: float64"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "cross_validate_std(stacking_model, X_train, y_train, return_train_score=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "- Above: this appears to do worse, but the std is very high, presumably due to the very small dataset.\n",
    "- We should probably (at least) do a lot more folds if we want to feel more confident."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "As with classification, we can again look at the coefficients of the meta-model, because it's still a linear model:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [],
   "source": [
    "#??StackingRegressor"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "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",
       "    }\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>Coefficient</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>linear regression</th>\n",
       "      <td>0.177056</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>decision tree</th>\n",
       "      <td>0.090237</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>random forest</th>\n",
       "      <td>0.332716</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>XGBoost</th>\n",
       "      <td>0.420650</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                   Coefficient\n",
       "linear regression     0.177056\n",
       "decision tree         0.090237\n",
       "random forest         0.332716\n",
       "XGBoost               0.420650"
      ]
     },
     "execution_count": 25,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pd.DataFrame(data=stacking_model.final_estimator_.coef_, index=regressors.keys(), columns=[\"Coefficient\"])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "- Here, we see it trusts XGBoost and the random forest much more than the decision tree or linear regression.\n",
    "- This makes sense based on the scores (repeated below):"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "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",
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       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>fit_time</th>\n",
       "      <th>score_time</th>\n",
       "      <th>test_score</th>\n",
       "      <th>train_score</th>\n",
       "      <th>std_test_score</th>\n",
       "      <th>std_train_score</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>XGBoost</th>\n",
       "      <td>2.125803</td>\n",
       "      <td>0.036285</td>\n",
       "      <td>0.821349</td>\n",
       "      <td>0.999903</td>\n",
       "      <td>0.059892</td>\n",
       "      <td>0.000018</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>random forest</th>\n",
       "      <td>0.399689</td>\n",
       "      <td>0.030263</td>\n",
       "      <td>0.820534</td>\n",
       "      <td>0.971360</td>\n",
       "      <td>0.042079</td>\n",
       "      <td>0.002557</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>linear regression</th>\n",
       "      <td>0.094571</td>\n",
       "      <td>0.030287</td>\n",
       "      <td>0.725838</td>\n",
       "      <td>0.928608</td>\n",
       "      <td>0.174656</td>\n",
       "      <td>0.004207</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>decision tree</th>\n",
       "      <td>0.131873</td>\n",
       "      <td>0.026532</td>\n",
       "      <td>0.685167</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.053411</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                   fit_time  score_time  test_score  train_score  \\\n",
       "XGBoost            2.125803    0.036285    0.821349     0.999903   \n",
       "random forest      0.399689    0.030263    0.820534     0.971360   \n",
       "linear regression  0.094571    0.030287    0.725838     0.928608   \n",
       "decision tree      0.131873    0.026532    0.685167     1.000000   \n",
       "\n",
       "                   std_test_score  std_train_score  \n",
       "XGBoost                  0.059892         0.000018  \n",
       "random forest            0.042079         0.002557  \n",
       "linear regression        0.174656         0.004207  \n",
       "decision tree            0.053411         0.000000  "
      ]
     },
     "execution_count": 26,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "results_df"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "- In classification, stacking used `predict_proba` to get numerical inputs to the meta-model.\n",
    "- Here, we don't have `predict_proba` (more on this below), but the output is already numeric.\n",
    "- So it just uses the output of `predict`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Prediction intervals (20 min)\n",
    "\n",
    "- With classification we had `predict` and `predict_proba`.\n",
    "- For regression we don't have `predica_proba`.\n",
    "- But it would be useful to still have some measure of confidence. \n",
    "- Some regressors can give us **prediction intervals**, which are like a range for the prediction."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### We're not taking a formal statistical approach\n",
    "\n",
    "- If you have studied statistics, you maybe have encountered the idea of prediction intervals.\n",
    "- There are actually a few variants of intervals here\n",
    "  - Confidence intervals (for parameter estimates)\n",
    "  - Confidence intervals for prediction (for predictions)\n",
    "  - Prediction intervals (for predictions, also take into account uncertainty in data)\n",
    "- We're not going to get into any of this in the course.\n",
    "- We'll just use the term \"prediction interval\" to mean an interval expressing a range of possible values.\n",
    "- This is similar to how we didn't interpret the output of `predict_proba` as a probability with any statistical meaning.\n",
    "- Both may be affected by hyperparameters."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Bootstrapping\n",
    "\n",
    "- It is possible to generate prediction intervals in a statistically reasonable way through the use of bootstrapping.\n",
    "- Essentially, this means training your model on different variants of the dataset (sampled with replacement).\n",
    "- We won't go into that in this course, but FYI.\n",
    "- Also FYI that random forests are already ensembles built using this method."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Ensemble prediction intervals"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "From above:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "227106.79277562269"
      ]
     },
     "execution_count": 27,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "averaging_model.predict(X_test[:1])[0]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "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>Prediction</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>linear regression</th>\n",
       "      <td>222545.436727</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>decision tree</th>\n",
       "      <td>228000.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>random forest</th>\n",
       "      <td>229680.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>XGBoost</th>\n",
       "      <td>228201.734375</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                      Prediction\n",
       "linear regression  222545.436727\n",
       "decision tree      228000.000000\n",
       "random forest      229680.000000\n",
       "XGBoost            228201.734375"
      ]
     },
     "execution_count": 28,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "r"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Prediction    222545.436727\n",
       "dtype: float64"
      ]
     },
     "execution_count": 29,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "r.min()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Prediction    229680.0\n",
       "dtype: float64"
      ]
     },
     "execution_count": 30,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "r.max()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "- So, one crude way to generate an interval is to say the prediction is somewhere between \\\\$215k and \\\\$229k. \n",
    "- If you had more models you could also take the standard deviation of the predictions and use that as an interval.\n",
    "- There's no statistical underpinning here. \n",
    "- I'm not a big fan but it does give you a range of values."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Quantile regression\n",
    "\n",
    "- Quantile regression is regression using a different type of error metric.\n",
    "- Instead of trying to minimize an error like MSE, we say, **we want the true value to be below the predicted value X% of the time.**\n",
    "- You can use this to get prediction intervals by training two models at two different quantiles, e.g. 10% and 90%.\n",
    "- We won't go into the math here, but some cases this is available in standard tools.\n",
    "- E.g. sklearn `GradientBoostingRegressor` or the lightGBM `LGBMRegressor` (we'll use this)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [],
   "source": [
    "lgbm = make_pipeline(preprocessing, LGBMRegressor())\n",
    "lgbm.fit(X_train, y_train);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "def scatter_results(regressor, X, y, alpha=0.3):\n",
    "    plt.scatter(y, regressor.predict(X), alpha=alpha)\n",
    "    grid = np.linspace(y.min(), y.max(), 1000)\n",
    "    plt.plot(grid, grid, '--k');\n",
    "    plt.xlabel(\"true price\");\n",
    "    plt.ylabel(\"predicted price\");\n",
    "\n",
    "scatter_results(lgbm, X_train, y_train)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "- (First off, this looks way better that linear regression from last time)\n",
    "- Notice how the points tend to fall on both sides of the line.\n",
    "- When we create the regressor we can set it to quantile regression - watch this!"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [],
   "source": [
    "lgbm_90 = make_pipeline(preprocessing, LGBMRegressor(objective='quantile', alpha=0.9))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "I apologize on behalf of the universe - this is a completely different `alpha` from the `Ridge(alpha=...)` "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [],
   "source": [
    "lgbm_90.fit(X_train, y_train);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "scatter_results(lgbm_90, X_train, y_train)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "- This did what we asked! The true value is below the predicted value 90% of the time.\n",
    "- Put another way, this made the predictions larger.\n",
    "- Note the analogy to `class_weight` here!\n",
    "  - We can \"fudge\" the predictions.\n",
    "  - This is legitimately useful, it's not \"wrong\".\n",
    "  - We were fudging `predict_proba` for classification and `predict` for regression.\n",
    "  - Our reasons for doing this are very different though (class imbalance vs. wanting prediction intervals)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "lgbm_10 = make_pipeline(preprocessing, LGBMRegressor(objective='quantile', alpha=0.1)).fit(X_train, y_train);\n",
    "scatter_results(lgbm_10, X_train, y_train)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "- Yikes, those are pretty hardcore changes here.\n",
    "  - Outliers are complicated (see a later lecture).\n",
    "- We can use `lgbm_90` and `lgbm_10` to get us prediction intervals."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "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>MSSubClass</th>\n",
       "      <th>MSZoning</th>\n",
       "      <th>LotFrontage</th>\n",
       "      <th>LotArea</th>\n",
       "      <th>Street</th>\n",
       "      <th>Alley</th>\n",
       "      <th>LotShape</th>\n",
       "      <th>LandContour</th>\n",
       "      <th>Utilities</th>\n",
       "      <th>LotConfig</th>\n",
       "      <th>...</th>\n",
       "      <th>ScreenPorch</th>\n",
       "      <th>PoolArea</th>\n",
       "      <th>PoolQC</th>\n",
       "      <th>Fence</th>\n",
       "      <th>MiscFeature</th>\n",
       "      <th>MiscVal</th>\n",
       "      <th>MoSold</th>\n",
       "      <th>YrSold</th>\n",
       "      <th>SaleType</th>\n",
       "      <th>SaleCondition</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Id</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>148</th>\n",
       "      <td>60</td>\n",
       "      <td>RL</td>\n",
       "      <td>NaN</td>\n",
       "      <td>9505</td>\n",
       "      <td>Pave</td>\n",
       "      <td>NaN</td>\n",
       "      <td>IR1</td>\n",
       "      <td>Lvl</td>\n",
       "      <td>AllPub</td>\n",
       "      <td>CulDSac</td>\n",
       "      <td>...</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0</td>\n",
       "      <td>5</td>\n",
       "      <td>2010</td>\n",
       "      <td>WD</td>\n",
       "      <td>Normal</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>1 rows × 79 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "     MSSubClass MSZoning  LotFrontage  LotArea Street Alley LotShape  \\\n",
       "Id                                                                     \n",
       "148          60       RL          NaN     9505   Pave   NaN      IR1   \n",
       "\n",
       "    LandContour Utilities LotConfig  ... ScreenPorch PoolArea PoolQC Fence  \\\n",
       "Id                                   ...                                     \n",
       "148         Lvl    AllPub   CulDSac  ...           0        0    NaN   NaN   \n",
       "\n",
       "    MiscFeature MiscVal  MoSold  YrSold  SaleType  SaleCondition  \n",
       "Id                                                                \n",
       "148         NaN       0       5    2010        WD         Normal  \n",
       "\n",
       "[1 rows x 79 columns]"
      ]
     },
     "execution_count": 37,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "X_test[:1]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([225147.06958953])"
      ]
     },
     "execution_count": 38,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "lgbm.predict(X_test[:1])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([211248.39402167])"
      ]
     },
     "execution_count": 39,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "lgbm_10.predict(X_test[:1])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([223954.89941099])"
      ]
     },
     "execution_count": 40,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "lgbm_90.predict(X_test[:1])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "- This is a bit weird because our bounds are both below the prediction.\n",
    "- To avoid this, we can use the 50% quantile as our prediction instead of the default (which is like the mean);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {},
   "outputs": [],
   "source": [
    "lgbm_50 = make_pipeline(preprocessing, LGBMRegressor(objective='quantile', alpha=0.5)).fit(X_train, y_train)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([219877.12985757])"
      ]
     },
     "execution_count": 42,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "lgbm_50.predict(X_test[:1])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "- There we go, our prediction is \\\\$222k, with a range from \\\\$211k to \\\\$224.5k .\n",
    "- Note that the interval is not necessarily symmetric (error bar below is much larger than above)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's make some plots using our 3 models, on the first 20 test cases:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "metadata": {},
   "outputs": [],
   "source": [
    "def plot_intervals(mid, low, hi, X, y):\n",
    "    mid_pred = mid.predict(X)\n",
    "    plt.plot(np.vstack((y, y)), np.vstack((low.predict(X), hi.predict(X))), 'b');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "scatter_results(lgbm_50, X_test[:20], y_test[:20], alpha=1)\n",
    "plot_intervals(lgbm_50, lgbm_10, lgbm_90, X_test[:20], y_test[:20])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "- What do you think of the size of the errorbars? \n",
    "  - They look fairly reasonable to me. \n",
    "  - The truth is contained inside the errorbars most of the time.\n",
    "  - The decision here is domain specific - again a human factor.\n",
    "- But you could try smaller intervals using, say, 0.75 and 0.25 instead of 0.9 and 0.1:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "metadata": {},
   "outputs": [],
   "source": [
    "lgbm_25 = make_pipeline(preprocessing, LGBMRegressor(objective='quantile', alpha=0.25)).fit(X_train, y_train);\n",
    "lgbm_75 = make_pipeline(preprocessing, LGBMRegressor(objective='quantile', alpha=0.75)).fit(X_train, y_train);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "scatter_results(lgbm_50, X_test[:20], y_test[:20], alpha=1)\n",
    "plot_intervals(lgbm_50, lgbm_25, lgbm_75, X_test[:20], y_test[:20])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Break (5 min)\n",
    "\n",
    "<br><br><br>\n",
    "\n",
    "Reminder: resume recording"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Feature importances: linear regression (30 min)\n",
    "\n",
    "- Like logistic regression, with linear regression we can look at the _coefficients_ for each feature.\n",
    "- Overall idea: predicted price = intercept + $\\sum_i$ coefficient i $\\times$ feature i.\n",
    "- Let's first train on the un-logged data, for simplicity:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "metadata": {},
   "outputs": [],
   "source": [
    "lr = make_pipeline(preprocessing, Ridge())\n",
    "lr.fit(X_train, y_train);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "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>Coefficient</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>LotFrontage</th>\n",
       "      <td>-1767.456662</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>LotArea</th>\n",
       "      <td>3729.004619</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>OverallQual</th>\n",
       "      <td>11339.337165</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>OverallCond</th>\n",
       "      <td>5202.941536</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>YearBuilt</th>\n",
       "      <td>3083.309848</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>YearRemodAdd</th>\n",
       "      <td>-485.725259</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>MasVnrArea</th>\n",
       "      <td>2882.726678</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>BsmtFinSF1</th>\n",
       "      <td>3656.124574</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>BsmtFinSF2</th>\n",
       "      <td>1323.411865</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>BsmtUnfSF</th>\n",
       "      <td>-1796.591359</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>TotalBsmtSF</th>\n",
       "      <td>2518.322957</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1stFlrSF</th>\n",
       "      <td>6655.322544</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2ndFlrSF</th>\n",
       "      <td>13808.621133</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>LowQualFinSF</th>\n",
       "      <td>-739.806972</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>GrLivArea</th>\n",
       "      <td>15987.617196</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>BsmtFullBath</th>\n",
       "      <td>2168.270854</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>BsmtHalfBath</th>\n",
       "      <td>848.721424</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>FullBath</th>\n",
       "      <td>2253.537128</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>HalfBath</th>\n",
       "      <td>1134.195956</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>TotRmsAbvGrd</th>\n",
       "      <td>5255.092779</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Fireplaces</th>\n",
       "      <td>3161.432113</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>GarageYrBlt</th>\n",
       "      <td>-894.673391</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>GarageCars</th>\n",
       "      <td>9776.532771</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>GarageArea</th>\n",
       "      <td>-1768.733159</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>WoodDeckSF</th>\n",
       "      <td>1760.454734</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>OpenPorchSF</th>\n",
       "      <td>177.898930</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>EnclosedPorch</th>\n",
       "      <td>-600.239672</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3SsnPorch</th>\n",
       "      <td>1366.803711</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>ScreenPorch</th>\n",
       "      <td>1436.701905</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>PoolArea</th>\n",
       "      <td>6422.128946</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                Coefficient\n",
       "LotFrontage    -1767.456662\n",
       "LotArea         3729.004619\n",
       "OverallQual    11339.337165\n",
       "OverallCond     5202.941536\n",
       "YearBuilt       3083.309848\n",
       "YearRemodAdd    -485.725259\n",
       "MasVnrArea      2882.726678\n",
       "BsmtFinSF1      3656.124574\n",
       "BsmtFinSF2      1323.411865\n",
       "BsmtUnfSF      -1796.591359\n",
       "TotalBsmtSF     2518.322957\n",
       "1stFlrSF        6655.322544\n",
       "2ndFlrSF       13808.621133\n",
       "LowQualFinSF    -739.806972\n",
       "GrLivArea      15987.617196\n",
       "BsmtFullBath    2168.270854\n",
       "BsmtHalfBath     848.721424\n",
       "FullBath        2253.537128\n",
       "HalfBath        1134.195956\n",
       "TotRmsAbvGrd    5255.092779\n",
       "Fireplaces      3161.432113\n",
       "GarageYrBlt     -894.673391\n",
       "GarageCars      9776.532771\n",
       "GarageArea     -1768.733159\n",
       "WoodDeckSF      1760.454734\n",
       "OpenPorchSF      177.898930\n",
       "EnclosedPorch   -600.239672\n",
       "3SsnPorch       1366.803711\n",
       "ScreenPorch     1436.701905\n",
       "PoolArea        6422.128946"
      ]
     },
     "execution_count": 48,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "lr_coefs = pd.DataFrame(data=lr[1].coef_, index=new_columns, columns=[\"Coefficient\"])\n",
    "lr_coefs.head(30)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "-121873.05137512289"
      ]
     },
     "execution_count": 49,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "lr[1].intercept_"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "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>Coefficient</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>PoolArea</th>\n",
       "      <td>6422.128946</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>LotFrontage</th>\n",
       "      <td>-1767.456662</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "             Coefficient\n",
       "PoolArea     6422.128946\n",
       "LotFrontage -1767.456662"
      ]
     },
     "execution_count": 50,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "lr_coefs.loc[[\"PoolArea\", \"LotFrontage\"]]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Intuition: \n",
    "\n",
    "- **Increasing** `PoolArea` by 1 scaled unit **increases** the predicted price by $\\sim\\$6400$.\n",
    "- **Increasing** `LotFrontage` by 1 scaled unit **decreases** the predicted price by $\\sim\\$1800$."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Does that seem reasonable?\n",
    "\n",
    "- For `PoolArea`, yes. \n",
    "- For `LotFrontage`, that's surprising - I expected something positive.\n",
    "- Do we believe these interpretations??\n",
    "  - Do we believe this is how the predictions are being computed? Yes.\n",
    "  - Do we believe that this is how the world works? No. \n",
    "  - For more info, take STAT 306.\n",
    "\n",
    "As an example, maybe the problem is that `LotFrontage` and `LotArea` are very correlated. `LotArea` has a larger positive coefficient. So maybe the overall interpretation is that big lots are good, but narrower lots (small frontage) are also good. This is probably not correct either! But it's an example of the ambiguities here. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "metadata": {},
   "outputs": [],
   "source": [
    "import seaborn as sns"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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CjIgxwBiA/6y4zdBtezGz/jeEm3ubNRiT6+Tsfck6+5Yk9WeWqT12c1L2KtqRXP8sUO9f2svZ++bAKw32Dyf12e4YEU/VdkpaoIk4zcz63xAeBdyswZhcJwLPAzsDp9U2SvossDzwq1zZd4D58wdLWoI0+OlS4IQ65z+f1DR8ap19edeQ+myXi4hrGpSrJdHpuRg+AqwPPFX3CDOzdnLNtVSnJ9fhkp4rbHsNOAI4RdI5pAFJHwJ+AjwMnJ4r+wCwlaSxpNrlM6SkPBdwfESMK15Q0pnA9yWtFBH/6y6wiHhU0s+B30laFRgHTAWWJfWnnhoRN5BGEs8AzpL0K2Ap4ChS8/Bg7BM3s07n5Fqq05PriXW2TYiIj0uaQhqteynwJmkiiO9HxJu5sgcAvwUuB+YlJbUvAY8CN3VzzT8BPyDVXkc1Ci4ifijpv8D/Za8AniT1sT6clZkgaVdgNHBZdu1DSc3FGzc6v5lZO8RMNwuX6cjkGhFnkJ5PbVSmVmttVOZWYM3C5lElxzwEKPd5z5LyZ5OeuW1U5i/AXwqbL2h0jJlZ27jmWqojk6uZmbVPOLmWcnI1M7NqnFxLecCMmZlV01Xh1QRJy0q6SNJrkl6X9DdJyzV5bHTz+n+FcnNIOkzSpGyu93sl7dDsLVflmquZmVXSymbh7Jn+60kz4O1BGvh5DHCDpE9GxFtNnOYM4JTCtocKn48GDgEOB+4mPRlyoaStI+LKnt9BfU6uZmZWzYyWNgvvA6wErBoRjwBIuo/0RMW+wK+bOEd3c8STnW9xUmI9NiJ+mW2+QdIqwLGkp0lays3CZmZWSXRF068mbAuMryVWgIh4DLgV2K5FIW8BzMPsT5CcA3xC0ootus67nFzNzKya1va5fgy4v872CcDqTUa0n6RpkqZIul7SBnWuMY3Z53qfkL03e52mObmamVklVWqu+RW8stfIwukWpf7865NJC6iUOQfYH/gCMJK0KMr1kjYuXOPViChWpSfn9reU+1zNzKyaChM05VfwalSszjbV2Vbv/LvlPt4s6VJSTfgY4HO5c/X4Gj3hmquZmVUSXc2/mvAK9WuOw6hfo20cW8QbwN+BtXObJwPDJBWT6bDc/pZyzdXMzCqJGS093QRSn2jR6qTFVXqiWFOdQJo/fmVm7Xet9bX29Drdcs3VzMyqae2ApsuAdSWtVNsgaQXSspuXVQ1N0vuBrYA7cpvHkpYY3bVQfARwfzY6uaVcczUzs0qabO5t1h9JK5RdKulHpBrn0aQVxN6dGELS8qRVw0ZHxOhs2yHAqsANpCVDlyc9z7okuUQaES9IOh44TNIbwD3ATsCmtO5xn1k4uZqZWSWtTK4R8ZakTYHjSSuIibQs50GFJUIFzMmsLa4TScuEfglYGHid9HzsNyLin4VLHU5afvTbpOQ7EdgxIi5v3d3kgp19ZLJ1mrFL7Dzo/hInzDs4v/d9657R7Q6h5XZZ86B2h9AnTt9qertD6BPvO/kfvR4h+/wmGzX9O2eJG8b12YjcgWxw/gYzM7M+EzOHZL6sxMnVzMwqiS4n1zJOrmZmVkmLBzQNSk6uZmZWSYRrrmWcXM3MrBLXXMs5uZqZWSXucy3n5GpmZpV0ebRwKSdXMzOrxDXXck6uZmZWieceKufkamZmlbjmWs7J1czMKvGjOOWcXM3MrBI/ilPOydXMzCqZ2eWlwMs4uZqZWSXucy3n5GpmZpV4tHA5J1czM6vENddyvWo4l7S5pH9IelnSVEkPSfq5pGGtCrAvSApJo3KfR0ma7buYpGGSfiZpYnZ/kyWNlbRZP8S4ZxbnCn19LTOzKrpCTb+Gqh4nV0k/BK4CpgJ7A1sAfwD2BO6UtGwrAmyXLP47gW8AY4DhwF7AW8DVkr7fxvDMzNqmq0tNv4aqHjULS9oEOAY4ISK+k9s1TtLFwN3AWcAmvQ+xqXjmjYhpLT7t2cAwYK2IeCy3/RJJxwPHSrotIm5p8XXNzAa0oVwjbVZPa67fByYDhxV3ZInoWGBjSZ+RNEHSX4vlsn0hafvctk9JukzSK5LelnSrpA0Kx50h6SlJ60m6TdLbwC+yfTtLul7Si5LelPQvSXtUvTlJnwE2Ao4tJNaaw4BXsp9DPq5Jdc51o6Qbc5/nk3S8pPuzGJ+TdLmk1arGaWbWDhFq+jVUVU6ukuYiJZ5rImJqN8Uuy943JdUAt67TDzuClKCvzM67BnAbsCiwD7AD8DJwraQ1C8cuDFwAnA9sCZyXbV8JuAjYFdgeuBw4VdI3K97m5wv3MYvsvq8BNpFU9Wc4L/A+Us1/K2A/YD5gvKQlK57LzKzfRTT/Gqp60iy8GDA/MKlBmdq+ZYGfAT8BdgROAZA0N7Az8OeIeCcrexzwBLBpbZukq4D7gR+TkmXNQsCIiLg0f9GI+Gntz1nSuxFYipTA/lDhHmv9xZMalJmUxbEY8GKzJ46I10h91LU45yT1XT8P7AIc38x5JI0ERgIc+L61+OL8KzcbgplZr7hZuFxPmoUr/VQj4klgHLBbbvNw4AOkflkkzU+qDV8IdEmaK6shC7gW2LBw2hnAFbMFJn1Y0vmSngamZ6+9gVWrxExz91grU3kiMEk7SrpD0quke3mLlKibjjMixkTEWhGxlhOrmfUnNwuX60lyfQl4G1ihQZnaviez97OA9SWtmH3eDXgkIsZnnxcF5iTVUKcXXgcAwwrNry9ExMz8BSUtRGqq/RRwKLABsDbwJ1JTbBW1uFdoUGZ5YFpEvFzlxJK2Af4M/Bf4GvCZLM4XSc3DZmYD2sxQ06+hqnKzcETMkHQTsJmk+brpd902e78+e/8rcBIwQtJvgG1IzcU1r5JqgCeR1WbrXDdfQ6zXkr8eKeFtkB/Bm9WAq7qO1Ce6Lam5ehaS5gM2I9XIa6YC89Q512KkvuOanUlfLPbMnW9u0hcMM7MBz83C5Xo6Q9NxpObanwIH53dktdMfADdFxB0AEfGGpEtJNdZnSDW0s2vHRMRbkm4m1TrvKSTSZi2QvU/PxTIM2K7qiSJifBbPoZIuqjNi+GekZPj73LbHgSUkfSAiXsquvzKpqfe2QpwzCufbjVRzNzMb8IZyc2+zepRcI+I6SUcAo7MZhM4iPZqyBqlJ9jVm7WMlK7MLcBRwS52EdTBwE3CVpNOAZ0n9smsAc0bEoSVh3Qa8Dpwk6UhgQeBHpGbshXtwmyNIA6LGS/oFcBewCLA78GXg9xFxSa78hcDRwLmSfp3Fflh2/byxwPbZs7JXAGsC3yLV3s3MBjyvOFeuxzM0RcTRpMdgFgROB64G9icl0bUi4onCIdcAzwEfIldrzZ3vHlLf48vAb7Pz/Qb4BCnplsXzIvAlUg3wIlLt8lTgnOp3B1n8awFnAPtm8VxCSqz7RcT+hfKPAF/J7u8S0jOwBwMPFU79R9Lo6Z1IjwptRWomf60ncZqZ9bdATb+aIWlZSRdJek3S65L+Jmm5Jo5bS9IYSQ9KmiLpCUnn5sb35MtOyuZWKL62r3fu3lIM5QeRKpL0aVKiHwvs1MPm65Ybu8TOg+4vccK8g3NNiW/dM7rdIbTcLmse1O4Q+sTpW00vL9SB3nfyP3rdpnv9Ejs2/Ttn0+f/0vB6khYA7gWmkVobgzTmZQHgkxHxVoNjf0kab3MuMIFUufkxsDjw/7KnVWplJwEPAqMKp5kYEa80ez/NGpy/wfpIRPxL0s7ApcDvSDV1M7MhpdkaaZP2IU0AtGrWAoik+4CHSa2Gv25w7M+zVst3SboVeCw77xGF8i/lnlLpU06uFUXE3/HPzcyGsBY32W0LjK8lVkjT6GZJcjsaJNdiYs22PS7pRVIttm16teScmZkNPS3uc/0YaSa+ognA6lVjk/RRUrPwf+vs3ibrm50maXxf9beCk6uZmVXUVeElaaSku3KvkYXTLUp62qRoMmllsqZl8xr8gTQpz2mF3ZcDB5KWR92VNDfBxZJGVLlGs9y8aWZmlVRpFo6IMaQ1sRsWq7OtJx27vwM+C2xVHKQUEQfOcvK0POp40pMlPXqqpBHXXM3MrJKZUtOvJrxC/RnqhlG/RluXpJ+RFjPZKyKuLiufTaF7IbCMpKWavU6zXHM1M7NKulo7WngCqd+1aHXggWZOIOlw0gRG34qI2eZRaHRo9t7yxxldczUzs0qiwqsJlwHrSlqptiGb+W99ullTO0/St0jPxR4eESc2ew9Z/+xXgSci4rlmj2uWa65mZlZJix/F+SNp9bNLJdUmkTiatDrZKbVCkpYHHgVGR8TobNvOwAmkiX2ul7Ru7ryvR8QDWbldSI/1XJmddwng/0jTz+7S2ttJnFzNzKySrub6UpuSLdyyKXA8aWpckVYmOygi3swVFWl623yL6/Bs+/DslTcO2Dj782Okx3OOI/XvTgHuBIZHxFUtu5kcJ1czM6uk1R2U2VzuO5SUmURhBHG2dOeeTZx/PLBpjwPsASdXMzOrZIZXnCvl5GpmZpW0eLTwoOTkOgicOd/UdofQcgtp7naH0CcG4woy5999QrtD6BPzL71Bu0PoEzNO7v05Bt0yXH3AydXMzCrpcsW1lJOrmZlVMiAWsh7gnFzNzKySma65lnJyNTOzSlxzLefkamZmlTi5lnNyNTOzSsLNwqWcXM3MrBLXXMs5uZqZWSVOruWcXM3MrBKPFi7n5GpmZpW45lrOydXMzCpxci3n5GpmZpV4buFyTq5mZlaJ5xYu5+RqZmaVuFm4nJOrmZlVMtMNw6WcXM3MrBLXXMvNUaWwpM0l/UPSy5KmSnpI0s8lDeurAFtBUkgalfs8StJsX70kLSjpMEn3SHoju8eJkn4naZV+jnmFLO49+/O6ZmZlosJrqGq65irph8BPgEuAvYHJwJrAD4AdJG0SEU/2SZT9QNJSwLXA0sDvgFuAd4DVgb2A9YFPty1AM7MBwjXXck0lV0mbAMcAJ0TEd3K7xkm6GLgbOAvYpPUh1o1n3oiY1uLTng0sBawTEQ/ntt8g6WRguxZfz8ysI3m0cLlmm4W/T6qpHlbcERGPAccCG0v6jKQJkv5aLJftC0nb57Z9StJlkl6R9LakWyVtUDjuDElPSVpP0m2S3gZ+ke3bWdL1kl6U9Kakf0nao/nbf/ca6wCfB35aSKy1e4yIuCRXfm5Jx0iaJOmd7P0YSXPnytSadfeVNFrSs5JelXS5pGUK119A0slZc/ubki4DZiljZjZQzCSafg1VpclV0lzARsA1ETG1m2KXZe+bkmqAW9fphx1BStBXZuddA7gNWBTYB9gBeBm4VtKahWMXBi4Azge2BM7Ltq8EXATsCmwPXA6cKumbZfdV8IXCfZQ5EziUVFvfGjid1Dx+Zp2yhwGrkJqWvw2sB5xbKHMKqan918CXgYm8d49mZgNKV4XXUNVMs/BiwPzApAZlavuWBX5G6pvdkZQ0yGp0OwN/joh3srLHAU8Am9a2SboKuB/4MSlZ1iwEjIiIS/MXjYif1v4saQ7gRlLT7n7AH5q4t5pls/fHywpK+jiwC3BURIzKNl8taSZwtKRjI+K+3CGPR8TXcsd/EDhO0tIR8YykVYGvAYdHxLG58y0EVP2SYGbW57qGcI20Wc00C1dqXc8GNY0DdsttHg58gFTTQ9L8pNrwhUCXpLmyGrJIg4o2LJx2BnDFbIFJH5Z0vqSngenZa29g1SoxV1SL7ZzC9trnjQrb/174/J/sfbns/TOkv4e/FMpd0CgISSMl3SXprkfenNQwYDOzVvJo4XLNJNeXgLeBFRqUqe2rjRY+C1hf0orZ592ARyJifPZ5UWBOUg11euF1ADAsq4nWvBARM/MXzGp21wCfIjXRbgCsDfwJmLeJ+8qrxb18E2UXzd6fLWx/rrC/ZnLhc20g1nzZ+1LZ+/OFcsXPs4iIMRGxVkSstcpCKzQqambWUm4WLleaXCNiBnATsJmk+boptm32fn32/ldgCjBC0vuBbUh9sTWvkn7uJ5IS4myviMj/vdT7ArQeKRmOjIizI+K2iLiLnk2McW32vk0TZWvJcsnC9trnlyteu5aklyhsL342MxsQuoimX82QtKykiyS9Jul1SX+TtFz5kSBpPknHZYNG35Z0u6Ri6yeS5sjmMZiUzWFwr8R8s/8AACAASURBVKQdKt5605odLXwcqe/1p8UdWe30B8BNEXEHQES8AVxKqrF+lVRLeze5RsRbwM2kWuc9EXFX8dVETAtk79NzsQyjB4/MRMQ/geuAH3Y3WYSk2nnHZe87F4rsmr3fVPHyd5C+aOxY2F48v5nZgDCzwquMpAVIFbPVgD1IeePDpMcgF2ziFKeRBsUeQRpg+ixwlaT/Vyh3NDCKNI/BlsB44EJJX2ziGpU1VcuLiOskHQGMlrQCqdn3FWANUpPsa8zax0pWZhfgKOCW7JGdvINJiegqSaeRfiAfyM45Z0QcWhLWbcDrwEmSjgQWBH5EasZeuJn7KtiNVIO9U9KJvDeJxGqkkb5zA5dGxARJ5wOjsn7i20i16B8D5xcGM5WKiImSziP9bOcA7gQ2A/rkL9zMrLeitb2p+5Ce/Fg1Ih4BkHQf8DCwL+kpirokfYo0IHSviDg92zYOmACMJmtVlbQ4cAhwbET8Mjv8hqwydSzZUyyt1PT0hxFxNCnbL0h69ORqYH9SEl0rIp4oHHINqR/yQ8zaJFw73z2kJuCXgd9m5/sN8AmaqP1FxIvAl0h9txeRRimfyuwDjZoSEc+SBhcdR2oevhi4CvgOcDvpUaGaPYCfk5LulcA3ss+Vn7HN7Ev69nVIdt3VSP9gzMwGnBb3uW4LjK8lVnh3/oRbKW+J3JbUevnn3LEzSANCt5BUG3+zBTAP9QeifiI3PqhlKvVPRsRYYGyTZWfy3mCd7sr8l5Lmz4jYs8G+66k/JeGoQjkVPo8qlsm2v0lq+p6t+btQbjqplvyjBmUmUWekdUTcWNweEVNIjw/tVyjueVDMbMBp8aM4HyN1IxZNIHUrlh37WPY7tHjsPKQ5BiZk5aYBj9QpB2ma22Lraq9UmrjfzMysyqM4+ccGs9fIwukWJXUzFk0GyhaFaXRsbX/t/dWIKH4rKJZrGS85Z2ZmlVSpuUbEGGBMWbE625ppuVOTxzZbrmWcXM3MrJIWzxn8CvVrjsOoXyvNm8x7E/IUj63tr70Pk6RC7bVYrmXcLGxmZpW0eEBTrU+0aHXggSaOXTF7nKd47Du818c6gTS50Mp1ytHEdSpzcjUzs0qiwn9NuAxYV9JKtQ3ZI5/rU76YymWkxyTfHfiUPSK5E3B1bmnSsaRku2vh+BHA/XUeFe01NwubmVklLZ7W8I+kaW8vlfQjUt/o0aRpaU+pFZK0PPAoMDoiRgNExL8l/Rk4IVsg5jHSUxcrkkukEfGCpOOBwyS9AdxDSsCb0kdrdTu5mplZJV2zDbrtuYh4S9KmwPGkORFEmjHvoOzxyBqR5jUotrh+nbQS2zHAIsC9wPBsLoW8w4E3SUt/Lkla2nPHiLi8ZTeT4+RqZmaVtHoR9GwSoobz/DaYO+Bt0ox/B5ccP5OUgI/pcaAVOLmamVklLZ7+cFBycjUzs0qG8lJyzXJyNTOzSlo8/eGg5ORqZmaVuFm4nJOrmZlV4mbhck6uZmZWycxwei3j5DoIrBULtTuElntCM9odQp/49VbT2x1Cy82/9AbtDqFPvP3Mze0OYcByai3n5GpmZpW4z7Wck6uZmVXi0cLlnFzNzKyS2dcctyInVzMzq8R9ruWcXM3MrJKZTq+lnFzNzKwSNwuXc3I1M7NKPKCpnJOrmZlV4kdxyjm5mplZJa1cLH2wcnI1M7NKWr1Y+mDk5GpmZpW4z7Wck6uZmVXi0cLlnFzNzKwS11zLObmamVklHi1czsnVzMwqcbNwOSdXMzOrxIull5uj3QEASLpI0mRJS9TZt7GkLknf7ueYVpMUhdeLkq6X9PkennO+7DyH5rYdK2lq7vMHJI2S9MlW3IeZWat1EU2/hqoBkVyB/yMttPC7/EZJ8wN/BG4HTmxDXACjgPWAzwL7AAKulPTpHpxrWnausxqU+QBwJODkamYDUlT4b6gaEM3CEfG8pIOAsyVtHxGXZLtGAcsAW0f0TzuEpDlJCbTm0YgYn9t/PfAKsD3wryrnjtRRMb60oJnZAOYZmsoNlJorEXEOcAVwsqRFJK0BHAyMioiJ+bKSdpL0T0lTJL0i6QJJHyqU2V3SuKwp9w1Jd0v6WqFMrZn2CEk/lvQ48A7w4Qahvg3MAObOneeb2XmWLJy/2OQ7W7NwofxqwH+zj2fnmqN3bhCPmVm/cs213IBJrplvAgsAxwOnAf8GfpkvkNVwzyfVGncA9gfWBG6QtECu6IrABcDXgC8DV5ES1p51rrsvsAlwELA18EJu3xyS5speywAnkGq2f+vVndY3Cagl0lGkJuT1gGv64FpmZj0yM7qafvUFSXNIOkzSJElTJd0raYcmjnt/Vpm6TdLLkl7N/rx9nbKj6oy7CUmX1Dt30YBoFq6JiKclHULqZ50OrBkRM2v7JS0C/AT4Q0Tsn9t+N/AAsDvwh+xcR+X2zwHcACwL7AecUbj0DGB4RLyTO+aD2R/PzF41bwN7RcRdvbrZOiJiqqR7s4+zNEcXSRoJjAT4yrB1WHehRpVtM7PWGQDNwkcDhwCHA3eTKiUXSto6Iq5scNxypArZ6dk5uoBdgIslHRARJ9U55nPAzNznyc0EOKCSK0BEnCppNHBLRPynsHsDUs32XEn52P+XvTYkS66SPgocRfrBLMl7/aiv1bns3/OJteAI4B/ZnxcDvgScLumtiLi40s21UESMAcYA/Gq5EW3/l25mQ0c7m3slLU5KrMdGRK1l8wZJqwDHAo2S62PAShExJbftKknLAj8A6iXXOyJiRtU4B1xyzbyTvYoWz95v6ea4x+DdGu41pG8Y38u2v0Nq9v1KneOebRDLY4Va6lWSPkxqHm5bcjUza5c211y3AOYBzilsPwf4k6QVI+KxegdGxFvdnPMuYKPWhThwk2t3Xs7evwY8XGf/69n7BsCHgO3ziVHS3HWOASp/DZsAbCpp4Yh4DagNWpqnUG6xiuc1Mxvw2jxQ6WOkxxofKWyfkL2vTlbRqmBD4MFu9j2Z1ZafIo3jGRURb5edsNOS602kPs+VIuL8BuVqA5um1zZkP5wvtiiOTwBTgNq3oMez948DT2TXmxfoyWQT07L3+XsToJlZX6nyZGR+fEhmTNat1VOLAq/G7HMwTs7trxrfusCIwq5HgENJg2cD2Bz4DrAGsFnZeTsquUbE5Owxll9JWpo0AvgNUi11E+AfEXERcDMp8Z2S9d++n9R3+jzpudkqVpa0bvbnRUkjjzcGfp1rh78VeBI4PkuqXcCB9Gw09lOkGviukiaSkvijEfFKD85lZtZyVUYB58eH1CPpCzT3RMS4iNiYNH6mXtVZdbY1JGlj4LfA2RFxbn5f9nho3jWSngJOkPSFiLi20bk7KrkCRMRvs+dRDyaNDp4TeBoYB/wnK/NMNiz7F8BfSQnr18DypH7XKkZlL0iDoR4lPbpzai6mdyRtQ5ph6mzgJeBXpKRf6XoRMV3S3qSRbNeR/o52ITVHmJm1XYunNbwN+GgT5WqDkCYDwySpUHsdlttfStLawGXA9cA3moz1fNJ4m7WBzkuuEbFCyf5LgUtLylxFqtkWHZorM5Vuvu1ExIPd7eum/L2kvt5K14uIQ/Nlsm0XAhc2e20zs/7UylVxspG73fV31jMBmBdYmVn7XVfP3h8oO4GkT5Dyw7+BHSJieskhRaU/gIE2iYSZmQ1wXRFNv/rAWNLTH7sWto8A7u9upHBN9rTHNaTHN7duZnBSTu2ad5QVHJA1VzMzG7jaOVo4Il6QdDxwmKQ3gHuAnYBNge3yZSVdBywfEatknxcnJdZ5SAukrC7N0pj4r4iYlpX9F2mRlYmkmupmpLE0YyPihrI4nVzNzKySAbBY+uHAm8C3SZMETQR2jIjLC+XmZNY8tzpp7A2kueyLViRNQ0t2zgOApbLzPAqMJo3lKeXkamZmlbR7sfRsWtxjslejchsXPt9Ik2NpIqJXC6Y4uZqZWSUDYG7hAc/J1czMKhkAzcIDnpOrmZlV0uLnXAclJ1czM6vENddyTq5mZlZJuwc0dQInVzMzq8QDmso5uZqZWSVuFi7n5GpmZpW0eT3XjuDkamZmlbjmWs7J1czMKnFyLSf/kKwKSSOzxY8HjcF4T+D76iSD8Z6GOi85Z1WNbHcAfWAw3hP4vjrJYLynIc3J1czMrMWcXM3MzFrMydWqGoz9QoPxnsD31UkG4z0NaR7QZGZm1mKuuZqZmbWYk6uZmVmLObmamfUjSTtKGtbNvkUk7djfMVnruc/VzKwfSZoJrBcR/6yzb03gnxExZ/9HZq3k6Q/NOpSk5aqUj4gn+ioWq0QN9i0AzOivQKzvOLlaUyQJWBVYDPh3RLzV5pAMJkGl5Uk6ojYkafcq5SPirL6KpVUkfRz4ZG7T5pJWKRSbH9gVeLTfArM+42ZhKyVpX2AUsHi2ae2IuEfS34DrIuKktgXXC5K2AL5J+tIwX2F3RMTK/R9V8yTtSYXkGhFn9l00rSOpq7Cpdo+qs41OaEKVdCRwZPYx6L72+jrwjYj4a78EZn3GNVdrSNJewMnAmcDVwHm53bcBXwU6LrlK+iJwOXAtsBowltQktz7wOHBz+6JrTkSc0e4Y+siKuT8vQ/o393fgAuB5YAlgF2DL7L0T/I4Uv4AHgJ2BewtlpgFPRYSbhQcB11ytIUkPAFdGxCGS5gSmA2tlNdetgVMjYsn2RlmdpNuBO4HvMOs9fQS4CvhBRPylnTEaSLoEmBgRP6iz7+fARyLiS/0fWc9JWhWYFBHT2h2L9R3XXK3MysCV3ex7A1ikH2NppdWAI4AuUjPdXAAR8ZCkUcCPgY5KrpIWJ9Xkumvm/kb/R9VrnyfV+uq5BtivH2NpiYiY2O4YrO85uVqZl4Dlu9n3EeCZfoyllbqAGRERkl4ElgNqj0Y8Q/pS0TGy2tB40qClBUl/b4tmn18BXmtfdL0yDViL1HxftDbwTv+G0zOS3qb5/vGIiAX7Mh7re06uVuYK4MeSbgCezLaFpEVJTaqXti2y3pkIrJD9+S7gIEm3kh6D+C5pJG4nOY705WB74C1Sf+R9wO7AUUBHNZ3m/AUYlT0beiHv9bnuSBogdFobY6viN1Qb2W0dzn2u1pCkD5IGLi2dvW9KGuzzUWAy6WH4V9sXYc9I+j9g+Yj4fvbg/rXA+7PdM4GvRcRFbQuwIknPkkY+X076grBORNyV7fs+sGVEbNLGEHtE0vykFWN2YfbRwucBIyNiajtiM2vEydVKSVoYOBjYgvQ4zsuk0bW/jIhObW6chaRlSLW9+YFrI+KBNodUiaQ3gC9GxM2SXgF2iYix2b5NgcsiYqG2BtkL2UCzzwBLAc8Cd0TEQ+2Nyqx7Tq5mg4Ck/wCjI+JCSeOBCbUBTJJ+DewYEcu0NcghLGs9OCsinsv+3EhExHH9EZf1HSdXG7KyWae2ATYkzTw1KiIel7QR8HBEdMxgrSyBLhQRI7OJ3y8AHiY1Ea8G/CQijmhnjL0haUnSoLPiKGgi4qb+j6iabGKMdSPin3UmySiKTpgYwxpzcrWGJF3dYHcXaRTq3cDpEfFi/0TVe9mqJFeSmhpfB97HezNPnQNMjohvtTPGKiTNC8wbEa9nn7cBdiJNjDEW+GN04P/skj4EnEP6AgSp3zU/Y1NHJCJJ89aea83+rhryM7Cdz6OFrcz8pMdSliSNFq6N1lyW1Pf1MrAdcIikDSPiwXYFWtFxpHtYnzSZRP6RjmuB77UjqJ7KfhlPy32+nDS4qdP9Hvg48H3gP+TusZPkk6UT59Dg5GplfkZ6iP8zEXFnbaOkdUhNjz8k/dK7CvgJsEM7guyB7YBDIuL2bOapvCdIidfabwPgWxFxdrsDMavCydXK/JTUF3lnfmPWd3QU8NOI+KSkXwC/aEuEPbMQ8HQ3++aj8bJgA46k60uKRER8vl+Caa23gRfaHUQrNTOhREQs0E/hWB9xcrUyq9L9L7cXgA9nf36ElLA6xURgc+rP/LMRqTbeSeZg9l/Yi5H+/l4EOvWxlT8Cu5FaRgaLehNKLEaa6nEOUouQdTgnVyvzOPAN0qCYom9k+wE+QOp/7RQnASdJeo33VvpZRNLXgQOAkW2LrAciYuN62yWtDFxCaoHoRE8Du2U18ytJE5fMIiL+1O9R9UJEHFpvezbQ6Qrgqf6NyPqCRwtbQ5JGAGeRlse6iFRbXRz4CvApYEREnCfpJGDpTlqhRNKxwCGkJuDaKNQu4BcRcXg7Y2slSbuS+pc/3e5Yqhpqj61I2g44PiJWancs1jtOrlZK0nBgNPBp0kTwM4F7gCMi4qqszIKkifA7aiSkpOWBzXhv5qlrIuJ/7Y2qtSRtDlzciZPBZ38/DUXE42VlOoWk7UmTTby/tLANaE6u1jRJc5GS0AudvKCzpHmAnwPnFQdqDTbZAgvnkVoVPtnueOzdpQGL5iE9cnQ86f+vjfo3Kms197la07KE2jGzFnUnIt6RtC9wcbtjaRVJjzH7IJl5SM8kQ+c8IlWXpI+TBpotSmphuCki7m9vVD32HPVHC4v0LPkB/RuO9QUnVyuV1Vi3oPtFuH/W/1H12r+ATwADfuq8Jo1j9l/YU0kDzi6MiEf7P6Tey/7tnUGdVXEknQfsGREz2xFbL+xP939Xt0bE9P4PyVrNzcLWkKSlSAloZdIvhNovuHf/4XTigBJJ6wLnAwcCf+/EqQGHAklHAz8grUl7DqnWtyQwgrSe688i4sj2RWhWn5OrNSTpbNLE718F/gd8FngJ2IvU1LhlJw4AkvQksDCwIGly+xeYtTYREVE6mGagkbQY0BURr7Q7llbImrv/FBFH19l3BPD1iFix/yNrLUnvA96KiLLR0dYh3CxsZTYkzev6ZPZ5ekQ8AvwwW1XmV0DHPH6Tcx0ls+R0CkmfJf0dbUI2kYekacCNwO+zeYY71dLA7d3suw3omEemJH0K2B6YG/hrRPwre/TmBNKKP1Mk/T4iypaksw7g5GplPgA8HREzJb0FLJLbdy2p/6jjRMSe7Y6hFSQdQhr5/AppkoVJpKb72iNGW0g6OSIOzL4MnRgRnTRg5hnS4gr1ZtL6LB0ywC5bsP5K0u/cGaSFLvYi9SffBFwGfBL4rqSJEXFau2K11nBytTJPk6Zmg9QsvBmp1gewFmkgxqAiaQVg94gY3eZQGpL0BdJ8zicAhxWfMc5m/DkW+Fa2mPrnSa0MnZRczwUOzyaTOJe0EtOSwM6kWuvP2xhbFYeTatrbkf6fOQEYA5waEe9+QZV0KvBNwMm1w7nP1RqSdAqpL+hgSf8HnEiaCnE68EXSL4f92hljK0haCNgR2B34HOn/jQE9UEvSP4A3I+KrJeX+SmqOfBPYJSKu7I/4WiEbLXwWKZnmf1mJNCBt904YLSzpBWDviLgs+7wMafWlLSLimly5LYFzI2LR9kRqreKaq5X5MVnNNSJOyiZgqC3CfTwwqn2h9U7WTLoZKaFuT1q79nnSWq+dMF/tOsDXmyh3Jun+NoyIe/s2pNbKnq3+mqSfkPr/FyXNLzwuIh5oa3DVfID0b6vm2ey9OB/3ZNJAO+twTq7WUES8QG5VnIg4npRUO5ak1UkJdQSwFGmh9KuAbYCdI6JTnn1dAHi1iXKvAu90WmLNi4gJwIR2x9FLbiYcQuZodwA2sEm6WtKq3ez7sKSr+zumnpJ0gKQ7ScvJfZ/00P5+pD68PemwNVxJ8a/RRLm1eG/1ogFP0sqS7pa0bYMy22ZlVui/yHptc0lfk/Q10qQYAQyvbcu2b97eEK1V3OdqDWUDSdaNiH/W2bcm8M+B3jdZk91LkEZtHpSftUjSwqQRtxt3Ss1V0s9IzcLrRMQT3ZRZgfQoyxkRcVj/Rddzkk4k/Ztbu6TcHaQZjQ7un8h6ronVffIG1Uo/Q5Wbha0Z3X0DW5E0SKZTXA9sTBqItYKkM0mDR55teNTA9XPS5B53Z4n2ctKjOAArANsChwKv0TmjaiH1g/+miXJ/Ag4CBnxyBT7a7gCsf7nmarORtAewR/ZxI9I8vK8Xis1Pei5vXER8sR/D65VslObuwG6kuZJnkh4tuoS0gPomnVJzhXfv5xzSYJ/i/8wCbiatuftk8diBStLbwPCIGFdSbiNgbETM3z+R9Z6kOYFVSCvfDIpZtKw+11ytnjlIs8hA+gU9V+5zzVukZ/E6atL+iHgK+Cnw02x+4T1Ij+BsTkpOB0nqiohb2hhm07L72VjSOqTnWJflvdVVrouIO9oZXw9NJ63oU2Ye0oQMnSSA+4GtSYPobJByzdUaknQzsE9EPNjuWPpK9njRdqQa7RakBeEfiYi6A7msb0m6G7g8IkaVlDsK2Doi1uyXwFpE0iTg2xFxabtjsb7j0cLWUERsMJgTK6T1XSPiwojYBlgG+B7wdpvDGsouAg6UtFJ3BSStTJpp6sJ+i6p1TiXdnwctDWJuFrZS2exFw0mTiw+K9VyzFVVOjYhZ5qaNiBcknU82Af5Alhv93IyIiE75//03pGeQ/5lNHnE57z1KtDzpeeQfkuYV/m1bIuwdkVaaekTS30kTShRXZOq4/6dsVm4WtoYkrUf65dbddGwd+diApJnAep38iJGkUVSYmCAijuq7aFpL0pKkgVqbUn+g1nXAbhHxXH/H1ltNPJbTkf9P2aw65Zustc9vgKeArUiTL0xrXLxjNJowYhgdcJ9lfZKdLEuaX5C0NvAF0kAtSAO1ro2IO9sWXO91zOhm6znXXK0hSW8CO0XE39sdS29J2phUEwL4EXA6adWfvPlJXyTeKpvEwMysO665Wpknae6xiE6wESmpQmpqrDfp/TvAA8C3+iuonsr6jZsVEXF0nwVjZrNwzdUayuY7PRDYLCI6aTamhhpN69gpBuuUeoN4oNa7JO1Omtd6VWYfJEhELNDvQVlLddw/Sut3m5FWjnlM0q2kJbHyIiK+0f9h9U5EdPxjaIPhHroxmkG8goykXUgTsJwPfIa0CPw8wJbAc8Bf2xedtYprrtaQpLJp8yIiluuXYFpM0gLAXqTm4kVJa2veSJrkfkobQ7NBTNJdwFjgSNJsVGtFxD2SFgduAH4bEae0M0brPSdXG5KyRz1uBD5CeobyOdLSc8sDE0mr4zzf7QnMekjS68CXSAtJzADWj4jx2b6dgaM8O1jnc7OwDVW/ID1ys0FE3FrbKOmzpGa5n5PWeO0YkkbyXj/evMX9HdTnOtgHak2FFLik50grGI3P9r1GmiXMOpxrrlZK0nykRFNsPj0rIqa2L7Kek/Qi8IOI+FOdfd8Ajo2ID/Z/ZD2TDZD5I3AmsDdpOba5ScvOvUhaWq8jJpEYrAO1aiTdCJwfEadI+gup9eTrpFrsGGC+iPh0G0O0FhisAyKsRbJ+oLuBk4HPkZLrBsAfgLskdUwCKliINH1ePU/RAdMfFhxEWqFov+zzyRGxB7ASaZ7kl9sVWFURMUeFV0cl1sxpwOLZn48APgDcBfwb+Djw/TbFZS3k5GplfkH6RbBJRCwbEWtHxLLAJsAH6axFuPMmktZ0rWcE0GmLFXwYuAnoyl7zAGRrhv4E+Hb7QrO8iDi71pSdLYrxMdKqTLsAH4mIa9oZn7WG+1ytzBeBw4oLV0fEOEmHk9ZG7US/BM6StARwHmny9CWBnUnT7XWXeAeqt4E5cv14K/FeP96bwNJti8waiojXgCvaHYe1lpOrlXk/aZamep4E3tePsbRMRJyTPYozmrQEWM3zwL4RcV57Iuux/wCrANcCNwM/lPQYqR9vFJ1XE3/XYBmolZeNY9gd2BBYDDgwIh6R9GXgPxHxcFsDtF5zs7CVmQjs2s2+XbL9HSkixpBqdB8j9SN/DPgQMEnSfe2MrQfGkEY/A/yY1Gd8C6n2+hHgu22Kq1eygVonAneSZjI6nbRazuvAo6QvRx1F0tKk/tWTgLWBzUlfYiG1FH2vTaFZC7nmamV+DZyeNZ+ey6zNp8PpsMdViiKiC/hvfpukhUmJtmNExJ9zf35E0seA9YAFgNsi4qW2Bdc7tYFaR5NGQZ+cTbgwjDRivWMGauX8ilSx+SgwiTSfdc0NpEFO1uGcXK2hiDhT0oKkpsXNSNPSCXgJOCAizm5jeAZImoc0sOy82lJsEfEWqYm403U7UCtbSP0nwO/aF16PbAHsl30JKjZpP01qPbEO52ZhKxURJ5PmF/4Uacm2TwFLRcTv2xqYARAR7wD7MjjXCX13oBZpFq2Vcvs6daDWvMCr3ex7HzCzH2OxPuLkat2SNI+kf0raLCJmRsR/ImJc9u5fAAPLv4BPtDuIPlAbqAXvDdRaL1tEfRSdOVDrftKjN/VsAdzTj7FYH3GzsHUrIt6R9BEGyTdpSSuVlwJSn3Kn+S5wvqTHgb/H4Jl6bQzv1VZ/TGrqviX7/AawfTuC6qVfA+dJmkl6DAxgFUlbAPsAX2lbZNYynv7QGpJ0EfBQRPyw3bH0VoV1QkWHTauXrV60MLAg6fGbF5j1XiMilm9HbK2U9f93/EAtSQcBx5Ca8pVtfhs4NCJObFtg1jJOrtZQNpH9ecAFwCWk0cKz/KOJiCfaEFplkvaoUj4izuyrWFpN0hmUfHGIiK/3TzStUW+g1mCSjUrfgDQD2svATdmMWjYIOLlaQ4VJ1Ov+Y+mkGp51FklTgOERcVO7Y+kNSQe6Rjq0uM/VyoykuaZUs75QG6jV0ckVOEHSV4G9IuKRdgdjfc81V7NBQtKnSYN+NgQWAdbJJlz4KanJcWxbA+wBSesC5wMH0sEDtSRtTFoScGngSOBXnXov1hw/imOzkbSSpLnbHYc1T9LngNuB1Uh95Pn/t7v4/+3df6jddR3H8edrK2uRLIVoY6XSH4UaabOVFaZmQUMRXVj9UcsmktAPqj9imtpPRm2DLhgFUVTTojRL/4lQ2Jy5RgsLI6oLwywtnSwoyJzD9uqPz3dxu/fce45n557P+X7P6wGXe+/5fi+8/rozpQAABh1JREFULzu7bz6f7+vz+cB1NeoagTsoe+/eDRyR9Kikv8z5+HPl+gZi+z7KCPyrlMMu9ks6q2pRsawyco0FmiUCb7J9oPlelEO4b7Ldij9m00bSA5RQzBXASsqWeq9vRq6bgBnbp9WscRgdDWqtpxwWcRYlJHh03i1uzuKNFssz1+hF875fQTnjdAZIc51M64FNzZFz85vRYcrZu61j++raNSyDg5SN+8+lpIUXNNexVxQjl+Ya0Q1HKGs/e1kL/HOMtcQiJF0OfI3yb3Wt7W9VLimWSZ65RnTDA8DH520Ef3wEdA2we/wljYak10n6saTDkp5tplWRtE3SO2vXNwhJL5X0Q+AnlO0NX5PG2m1prrGYFZJWSFpBeYb3f6/N/ahZZPzPTZSp4Yearw18QNIe4HzgcxVrG1qHglp/pBx6sdn25bb/VrugWF4JNMUCi2wTqB6vQQlf5PHCBGhGdDsoS3FWUprPz4FP2v5NzdqG1ZWglqQ7gA/bfrJ2LTEe+aMYvbRylDPtbP8auETSC4FTgX/Y/nflsk5UJ4Jatq+qXUOMV5prLGA7zbVlmqDMT20/a/sI0JVpxwS1opXyvCyWJOlmST0PpJa0VtLN464peroLeFzSLZLeULuYEepsUCu6Lc9cY0nzN5SYd+084EA27q9P0hspa5HfQ9nR6CCwC7itzRt/SDoH2Ac8AvyIEta6BTgHOA/YYHu2WoERi8jINfqZv6HEXKcAz4yrkFic7V/a/ihl79orKKnhTwMPS9or6ZqqBQ7J9kOUgNYhyu8j4CPN5QvTWGNSZeQaCzSbjL+t+fZG4NvAX+fdtgq4FHjK9obxVReDknQycBUloLa27anujgW1ouNa/Z8tls2FlKYK5flWr71bjwK/Bz42rqJicJJOp0wTvx9YBzxRt6LhdDioFR2XkWssqVnzen6vZ64xWSStBt5NaahvAZ6mnCazC7jX9rElfnwiNe+/vwM/AG7N+zDaIs01ogOaTQouA54P7KU01Dtt/6tqYSeoq0Gt6L401+hL0ouALZTp4lMpI4n7gO/k2ddkkPQ74Fbge7Yfq13PqEl6HrCRMiq/DHgBZZnOruzRG5MozTWWJGkNpZG+inLc3BPAGuB0YBa4yPahagUGAM3a1ouBVzQvPQrstv2relUtj64FtaKb8qaMfrZTltxcYHvf8RclvRm4E/gycHWd0kLSOso06UUsXDZlSXspm8V3YjTblaBWdF/WuUY/G4Hr5zZWANu/oCSKL61SVSDpJZRZhXOBrcCZlCVSq5qvrwdeC+xp7m0lSaslXSvpfuBhyu/1IOW9+fKqxUUsIiPX6OfFLL784bHmetSxFTgZWN8j3DMLbG+CTvube7eOub4T1iOotYUOBLWi+zJyjX5mKVNwvbyPck5l1HEl8KWlUrO2/0SZur9ybFWN1pnAZ4EzbF9i+7tprNEGGblGPzuBXZJeRjms+nFKoOm9wNtZvPHG8juNMj3az4PNvW20hRLU2ioJOhzUim5Jc40l2b6tWYrzeeCbcy4dAj5k+/t1KgvgKcrSqH5OAVq1ZGraglrRPZkWjr5sf4OyIfzZwAXN53XAI5J+W7O2KXeAwWYONjf3tsK0BLWi29JcYyC2j9n+g+19zedjwGpKo406ZoBNknZKOmn+RUknSdpJOSXnK2Ovbnhzg1o7bM/afqb5mLW9HdjQ3NO6kFZMh2wiEUOT9C7g9pznWo+kG4AvUHbNupdy7inAGcA7KFsGfsb2F2vUNwxJs8DXbc/0ue8TwHW2Xz2eyiIGl2euES1me5uk/cCnKCPUVc2lp4H7gR22d9eqb0jTENSKjktzjWg523sozx9XUkaqAg7b/k/dyobW2aBWTI8011hA0isHvHXNshYSz0nTTJ+sXccIHA9q3d3nvlYFtWK6pLlGLwcph6T3owHvi3guZoCfNWGsG2wfnXuxCW9to0yDb6xQX0Rfaa7RywdrFxDTy/Y9km6kBLU2S1oqqHVPlSIj+khaOCImkqSLKUGtt9KNoFZMkTTXiJhoHQpqxRRJc42IiBix7NAUERExYmmuERERI5bmGhERMWJprhERESP2X+8MvPQvfLD/AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.heatmap(X_train_enc[numeric_features[:5]].corr());"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "BTW, let's make sure the predictions behave as expected:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "metadata": {},
   "outputs": [],
   "source": [
    "one_example = X_test[:1]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "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>MSSubClass</th>\n",
       "      <th>MSZoning</th>\n",
       "      <th>LotFrontage</th>\n",
       "      <th>LotArea</th>\n",
       "      <th>Street</th>\n",
       "      <th>Alley</th>\n",
       "      <th>LotShape</th>\n",
       "      <th>LandContour</th>\n",
       "      <th>Utilities</th>\n",
       "      <th>LotConfig</th>\n",
       "      <th>...</th>\n",
       "      <th>ScreenPorch</th>\n",
       "      <th>PoolArea</th>\n",
       "      <th>PoolQC</th>\n",
       "      <th>Fence</th>\n",
       "      <th>MiscFeature</th>\n",
       "      <th>MiscVal</th>\n",
       "      <th>MoSold</th>\n",
       "      <th>YrSold</th>\n",
       "      <th>SaleType</th>\n",
       "      <th>SaleCondition</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Id</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>148</th>\n",
       "      <td>60</td>\n",
       "      <td>RL</td>\n",
       "      <td>NaN</td>\n",
       "      <td>9505</td>\n",
       "      <td>Pave</td>\n",
       "      <td>NaN</td>\n",
       "      <td>IR1</td>\n",
       "      <td>Lvl</td>\n",
       "      <td>AllPub</td>\n",
       "      <td>CulDSac</td>\n",
       "      <td>...</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0</td>\n",
       "      <td>5</td>\n",
       "      <td>2010</td>\n",
       "      <td>WD</td>\n",
       "      <td>Normal</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>1 rows × 79 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "     MSSubClass MSZoning  LotFrontage  LotArea Street Alley LotShape  \\\n",
       "Id                                                                     \n",
       "148          60       RL          NaN     9505   Pave   NaN      IR1   \n",
       "\n",
       "    LandContour Utilities LotConfig  ... ScreenPorch PoolArea PoolQC Fence  \\\n",
       "Id                                   ...                                     \n",
       "148         Lvl    AllPub   CulDSac  ...           0        0    NaN   NaN   \n",
       "\n",
       "    MiscFeature MiscVal  MoSold  YrSold  SaleType  SaleCondition  \n",
       "Id                                                                \n",
       "148         NaN       0       5    2010        WD         Normal  \n",
       "\n",
       "[1 rows x 79 columns]"
      ]
     },
     "execution_count": 54,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "one_example"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([222545.43672749])"
      ]
     },
     "execution_count": 55,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "lr.predict(one_example)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 56,
   "metadata": {},
   "outputs": [],
   "source": [
    "one_example_perturbed = one_example.copy()\n",
    "one_example_perturbed[\"LotArea\"] += 1 # add 1 to the LotArea"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 57,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\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>MSSubClass</th>\n",
       "      <th>MSZoning</th>\n",
       "      <th>LotFrontage</th>\n",
       "      <th>LotArea</th>\n",
       "      <th>Street</th>\n",
       "      <th>Alley</th>\n",
       "      <th>LotShape</th>\n",
       "      <th>LandContour</th>\n",
       "      <th>Utilities</th>\n",
       "      <th>LotConfig</th>\n",
       "      <th>...</th>\n",
       "      <th>ScreenPorch</th>\n",
       "      <th>PoolArea</th>\n",
       "      <th>PoolQC</th>\n",
       "      <th>Fence</th>\n",
       "      <th>MiscFeature</th>\n",
       "      <th>MiscVal</th>\n",
       "      <th>MoSold</th>\n",
       "      <th>YrSold</th>\n",
       "      <th>SaleType</th>\n",
       "      <th>SaleCondition</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Id</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>148</th>\n",
       "      <td>60</td>\n",
       "      <td>RL</td>\n",
       "      <td>NaN</td>\n",
       "      <td>9506</td>\n",
       "      <td>Pave</td>\n",
       "      <td>NaN</td>\n",
       "      <td>IR1</td>\n",
       "      <td>Lvl</td>\n",
       "      <td>AllPub</td>\n",
       "      <td>CulDSac</td>\n",
       "      <td>...</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0</td>\n",
       "      <td>5</td>\n",
       "      <td>2010</td>\n",
       "      <td>WD</td>\n",
       "      <td>Normal</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>1 rows × 79 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "     MSSubClass MSZoning  LotFrontage  LotArea Street Alley LotShape  \\\n",
       "Id                                                                     \n",
       "148          60       RL          NaN     9506   Pave   NaN      IR1   \n",
       "\n",
       "    LandContour Utilities LotConfig  ... ScreenPorch PoolArea PoolQC Fence  \\\n",
       "Id                                   ...                                     \n",
       "148         Lvl    AllPub   CulDSac  ...           0        0    NaN   NaN   \n",
       "\n",
       "    MiscFeature MiscVal  MoSold  YrSold  SaleType  SaleCondition  \n",
       "Id                                                                \n",
       "148         NaN       0       5    2010        WD         Normal  \n",
       "\n",
       "[1 rows x 79 columns]"
      ]
     },
     "execution_count": 57,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "one_example_perturbed"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 58,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([222545.82613608])"
      ]
     },
     "execution_count": 58,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "lr.predict(one_example_perturbed)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 59,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([0.38940859])"
      ]
     },
     "execution_count": 59,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "lr.predict(one_example_perturbed) - lr.predict(one_example)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 60,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
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       "    }\n",
       "\n",
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       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Coefficient</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>LotArea</th>\n",
       "      <td>3729.004619</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "         Coefficient\n",
       "LotArea  3729.004619"
      ]
     },
     "execution_count": 60,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "lr_coefs.loc[[\"LotArea\"]]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "- Why did the prediction only go up by \\\\$0.39 instead of \\\\$3729? \n",
    "\n",
    "<br><br><br>\n",
    "\n",
    "- This is an issue of units. `LotArea` is in sqft, but the coefficient is not $\\$3729/\\text{sqft}$ **because we scaled the features**. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 61,
   "metadata": {},
   "outputs": [],
   "source": [
    "scaler = preprocessing.named_transformers_['numeric']['standardscaler']"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "- The scaler subtracted the mean and divided by the standard deviation.\n",
    "- For the unit conversion, we don't care about the subtraction, but only the scaling."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 62,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([2.13745654e+01, 9.57607182e+03, 1.40580964e+00, 1.13370232e+00,\n",
       "       3.05509964e+01, 2.06956049e+01, 1.78076438e+02, 4.66876060e+02,\n",
       "       1.66176985e+02, 4.41525194e+02, 4.50155639e+02, 3.96458799e+02,\n",
       "       4.36894658e+02, 4.96007198e+01, 5.40091680e+02, 5.18546179e-01,\n",
       "       2.28010762e-01, 5.52851701e-01, 5.05102919e-01, 1.64938080e+00,\n",
       "       6.36310176e-01, 2.43294905e+01, 7.47247404e-01, 2.11907054e+02,\n",
       "       1.28562065e+02, 6.60750501e+01, 6.04084478e+01, 2.71546081e+01,\n",
       "       5.60163794e+01, 4.29887479e+01, 3.00279273e+02, 1.33190203e+00])"
      ]
     },
     "execution_count": 62,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.sqrt(scaler.var_)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 63,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
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       "\n",
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       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Scale</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>LotFrontage</th>\n",
       "      <td>21.374565</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>LotArea</th>\n",
       "      <td>9576.071818</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>OverallQual</th>\n",
       "      <td>1.405810</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>OverallCond</th>\n",
       "      <td>1.133702</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>YearBuilt</th>\n",
       "      <td>30.550996</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>YearRemodAdd</th>\n",
       "      <td>20.695605</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>MasVnrArea</th>\n",
       "      <td>178.076438</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>BsmtFinSF1</th>\n",
       "      <td>466.876060</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>BsmtFinSF2</th>\n",
       "      <td>166.176985</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>BsmtUnfSF</th>\n",
       "      <td>441.525194</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>TotalBsmtSF</th>\n",
       "      <td>450.155639</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1stFlrSF</th>\n",
       "      <td>396.458799</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2ndFlrSF</th>\n",
       "      <td>436.894658</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>LowQualFinSF</th>\n",
       "      <td>49.600720</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>GrLivArea</th>\n",
       "      <td>540.091680</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>BsmtFullBath</th>\n",
       "      <td>0.518546</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>BsmtHalfBath</th>\n",
       "      <td>0.228011</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>FullBath</th>\n",
       "      <td>0.552852</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>HalfBath</th>\n",
       "      <td>0.505103</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>TotRmsAbvGrd</th>\n",
       "      <td>1.649381</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Fireplaces</th>\n",
       "      <td>0.636310</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>GarageYrBlt</th>\n",
       "      <td>24.329491</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>GarageCars</th>\n",
       "      <td>0.747247</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>GarageArea</th>\n",
       "      <td>211.907054</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>WoodDeckSF</th>\n",
       "      <td>128.562065</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>OpenPorchSF</th>\n",
       "      <td>66.075050</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>EnclosedPorch</th>\n",
       "      <td>60.408448</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3SsnPorch</th>\n",
       "      <td>27.154608</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>ScreenPorch</th>\n",
       "      <td>56.016379</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>PoolArea</th>\n",
       "      <td>42.988748</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>MiscVal</th>\n",
       "      <td>300.279273</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>YrSold</th>\n",
       "      <td>1.331902</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                     Scale\n",
       "LotFrontage      21.374565\n",
       "LotArea        9576.071818\n",
       "OverallQual       1.405810\n",
       "OverallCond       1.133702\n",
       "YearBuilt        30.550996\n",
       "YearRemodAdd     20.695605\n",
       "MasVnrArea      178.076438\n",
       "BsmtFinSF1      466.876060\n",
       "BsmtFinSF2      166.176985\n",
       "BsmtUnfSF       441.525194\n",
       "TotalBsmtSF     450.155639\n",
       "1stFlrSF        396.458799\n",
       "2ndFlrSF        436.894658\n",
       "LowQualFinSF     49.600720\n",
       "GrLivArea       540.091680\n",
       "BsmtFullBath      0.518546\n",
       "BsmtHalfBath      0.228011\n",
       "FullBath          0.552852\n",
       "HalfBath          0.505103\n",
       "TotRmsAbvGrd      1.649381\n",
       "Fireplaces        0.636310\n",
       "GarageYrBlt      24.329491\n",
       "GarageCars        0.747247\n",
       "GarageArea      211.907054\n",
       "WoodDeckSF      128.562065\n",
       "OpenPorchSF      66.075050\n",
       "EnclosedPorch    60.408448\n",
       "3SsnPorch        27.154608\n",
       "ScreenPorch      56.016379\n",
       "PoolArea         42.988748\n",
       "MiscVal         300.279273\n",
       "YrSold            1.331902"
      ]
     },
     "execution_count": 63,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "lr_scales = pd.DataFrame(data=np.sqrt(scaler.var_), index=numeric_features, columns=[\"Scale\"])\n",
    "lr_scales"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 64,
   "metadata": {},
   "outputs": [],
   "source": [
    "X_train[\"LotArea\"].std();"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 65,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "3729.00461925854"
      ]
     },
     "execution_count": 65,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "lr_coefs.loc[\"LotArea\",\"Coefficient\"]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 66,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "9576.071817790295"
      ]
     },
     "execution_count": 66,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "lr_scales.loc[\"LotArea\",\"Scale\"]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 67,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.38940858947307044"
      ]
     },
     "execution_count": 67,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "lr_coefs.loc[\"LotArea\",\"Coefficient\"]/lr_scales.loc[\"LotArea\",\"Scale\"]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "- It seems like `PoolArea` was divided by 43 sqft. \n",
    "- So $3729 \\; \\text{\\$/unit} \\times \\frac{1 \\text{unit}}{43 \\text{sqft}} \\approx 149 \\; \\text{\\$/sqft}$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 68,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "149.39092800873365"
      ]
     },
     "execution_count": 68,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "lr_coefs.loc[\"PoolArea\",\"Coefficient\"]/lr_scales.loc[\"PoolArea\",\"Scale\"]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "- That makes a bit more sense!\n",
    "  - (But, again, don't read too much into this number without statistical training!)\n",
    "- Note: we can get the same result using the scaler's `inverse_transform` function:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 69,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
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       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Scale</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>3SsnPorch</th>\n",
       "      <td>27.154608</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>ScreenPorch</th>\n",
       "      <td>56.016379</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>PoolArea</th>\n",
       "      <td>42.988748</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>MiscVal</th>\n",
       "      <td>300.279273</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>YrSold</th>\n",
       "      <td>1.331902</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                  Scale\n",
       "3SsnPorch     27.154608\n",
       "ScreenPorch   56.016379\n",
       "PoolArea      42.988748\n",
       "MiscVal      300.279273\n",
       "YrSold         1.331902"
      ]
     },
     "execution_count": 69,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "delta = scaler.inverse_transform(np.ones(len(numeric_features))) - scaler.inverse_transform(np.zeros(len(numeric_features)))\n",
    "lr_scales2 = pd.DataFrame(data=delta, index=numeric_features, columns=[\"Scale\"])\n",
    "lr_scales2.tail()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "- Actually `inverse_transform` is nicer in a way, because it generalized to any sort of scaler/normalizer you're using."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "- What about the categorical features?\n",
    "- We didn't scale these, so we can interpret the coefficients without this concern.\n",
    "- The ordinal features are easiest:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 70,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "['ExterQual', 'ExterCond', 'BsmtQual', 'BsmtCond', 'HeatingQC', 'KitchenQual', 'FireplaceQu', 'GarageQual', 'GarageCond', 'PoolQC']\n"
     ]
    }
   ],
   "source": [
    "print(ordinal_features_reg)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 71,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "5941.941090670965"
      ]
     },
     "execution_count": 71,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "lr_coefs.loc[\"ExterQual\", 'Coefficient']"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "- \"Increasing by one category of exterior quality (e.g. good -> excellent) increases the predicted price by \\\\$5942\".\n",
    "  - Wow, that's a lot! "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "- The OHE features are a bit more of a hassle."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 72,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "['BldgType', 'Condition1', 'KitchenAbvGr', 'HouseStyle', 'RoofStyle', 'SaleCondition', 'MSSubClass', 'RoofMatl', 'LandSlope', 'Heating', 'LandContour', 'Exterior1st', 'LotShape', 'Foundation', 'Exterior2nd', 'MSZoning', 'BsmtFinType2', 'MasVnrType', 'CentralAir', 'GarageFinish', 'MoSold', 'MiscFeature', 'PavedDrive', 'BsmtExposure', 'LotConfig', 'Neighborhood', 'BedroomAbvGr', 'GarageType', 'Condition2', 'SaleType', 'Fence', 'BsmtFinType1', 'Utilities', 'Functional', 'Street', 'Electrical', 'Alley']\n"
     ]
    }
   ],
   "source": [
    "print(categorical_features)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 73,
   "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",
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       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Coefficient</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>LandSlope_Gtl</th>\n",
       "      <td>-6474.202721</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>LandSlope_Mod</th>\n",
       "      <td>7138.195339</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>LandSlope_Sev</th>\n",
       "      <td>-663.992618</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "               Coefficient\n",
       "LandSlope_Gtl -6474.202721\n",
       "LandSlope_Mod  7138.195339\n",
       "LandSlope_Sev  -663.992618"
      ]
     },
     "execution_count": 73,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "lr_coefs_landslope = lr_coefs[lr_coefs.index.str.startswith(\"LandSlope\")]\n",
    "lr_coefs_landslope"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "- We can talk about switching from one of these categories to another by picking a \"reference\" category:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 74,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
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       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
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       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Coefficient</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>LandSlope_Gtl</th>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>LandSlope_Mod</th>\n",
       "      <td>13612.398061</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>LandSlope_Sev</th>\n",
       "      <td>5810.210103</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                Coefficient\n",
       "LandSlope_Gtl      0.000000\n",
       "LandSlope_Mod  13612.398061\n",
       "LandSlope_Sev   5810.210103"
      ]
     },
     "execution_count": 74,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "lr_coefs_landslope - lr_coefs_landslope.loc[\"LandSlope_Gtl\"]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Be a bit careful here:\n",
    "\n",
    "- If you did `drop='first'` (we didn't) then you already have a reference class, and all the values are with respect to that one.\n",
    "- The interpretation depends on whether we did `drop='first'`, hence the hassle."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's sort the coefficients:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 75,
   "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>Coefficient</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>RoofMatl_ClyTile</th>\n",
       "      <td>-176003.848493</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Condition2_PosN</th>\n",
       "      <td>-98557.151215</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Heating_OthW</th>\n",
       "      <td>-24564.135444</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>MSZoning_C (all)</th>\n",
       "      <td>-21587.735117</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>BedroomAbvGr_5</th>\n",
       "      <td>-20582.490457</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>...</th>\n",
       "      <td>...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Exterior2nd_ImStucc</th>\n",
       "      <td>36710.313710</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>RoofMatl_CompShg</th>\n",
       "      <td>38863.951982</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Condition2_PosA</th>\n",
       "      <td>39891.544500</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Neighborhood_NridgHt</th>\n",
       "      <td>45871.062263</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>RoofMatl_WdShngl</th>\n",
       "      <td>83958.025531</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>292 rows × 1 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "                        Coefficient\n",
       "RoofMatl_ClyTile     -176003.848493\n",
       "Condition2_PosN       -98557.151215\n",
       "Heating_OthW          -24564.135444\n",
       "MSZoning_C (all)      -21587.735117\n",
       "BedroomAbvGr_5        -20582.490457\n",
       "...                             ...\n",
       "Exterior2nd_ImStucc    36710.313710\n",
       "RoofMatl_CompShg       38863.951982\n",
       "Condition2_PosA        39891.544500\n",
       "Neighborhood_NridgHt   45871.062263\n",
       "RoofMatl_WdShngl       83958.025531\n",
       "\n",
       "[292 rows x 1 columns]"
      ]
     },
     "execution_count": 75,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "lr_coefs.sort_values(by=\"Coefficient\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "- \"If the roof is made of clay or tile, the predicted price is \\\\$176k less\" ?\n",
    "- That is a huge amount!"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 76,
   "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>Coefficient</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>RoofMatl_ClyTile</th>\n",
       "      <td>-176003.848493</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>RoofMatl_CompShg</th>\n",
       "      <td>38863.951982</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>RoofMatl_Membran</th>\n",
       "      <td>24572.916813</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>RoofMatl_Roll</th>\n",
       "      <td>11793.038384</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>RoofMatl_Tar&amp;Grv</th>\n",
       "      <td>3443.806372</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>RoofMatl_WdShake</th>\n",
       "      <td>13372.109410</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>RoofMatl_WdShngl</th>\n",
       "      <td>83958.025531</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                    Coefficient\n",
       "RoofMatl_ClyTile -176003.848493\n",
       "RoofMatl_CompShg   38863.951982\n",
       "RoofMatl_Membran   24572.916813\n",
       "RoofMatl_Roll      11793.038384\n",
       "RoofMatl_Tar&Grv    3443.806372\n",
       "RoofMatl_WdShake   13372.109410\n",
       "RoofMatl_WdShngl   83958.025531"
      ]
     },
     "execution_count": 76,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "lr_coefs_landslope = lr_coefs[lr_coefs.index.str.startswith(\"RoofMatl\")]\n",
    "lr_coefs_landslope"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "- Note to self: stay away from clay or tile.\n",
    "- Or, wait, can we actually believe that?\n",
    "  - Without further training: no."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Interpretation in log space\n",
    "\n",
    "- If we log-transform the targets then the interpretation changes."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 77,
   "metadata": {},
   "outputs": [],
   "source": [
    "lr_log = make_pipeline(preprocessing, Ridge())\n",
    "lr_log.fit(X_train, np.log(y_train));"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 78,
   "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>Coefficient</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>LotArea</th>\n",
       "      <td>0.013140</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>LotFrontage</th>\n",
       "      <td>-0.002005</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "             Coefficient\n",
       "LotArea         0.013140\n",
       "LotFrontage    -0.002005"
      ]
     },
     "execution_count": 78,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "lr_log_coefs = pd.DataFrame(data=lr_log[1].coef_, index=new_columns, columns=[\"Coefficient\"])\n",
    "lr_log_coefs.loc[[\"LotArea\", \"LotFrontage\"]]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "- We keep the intuition that positive coefficients make the predicted price go up, negative coefficients make it go down.\n",
    "- If we increase `LotArea` by 1 scaled unit, then we increase the **log** predicted price by 0.013.\n",
    "- What does it mean to increase the log of something by $x$?"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "log(new) = log(old) + $x$\n",
    "\n",
    "Take exp of both sides:\n",
    "\n",
    "new = old  $\\times \\exp(x)$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "So, increasing `LotArea` by 1 scaled unit means we _multiply_ the predicted price by $\\exp(0.013)$:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 79,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "1.013226277022084"
      ]
     },
     "execution_count": 79,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.exp(lr_log_coefs.loc[\"LotArea\", \"Coefficient\"])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "And, increasing `LotFrontage` by 1 scaled unit means we _multiply_ the predicted price by $\\exp(-0.002)$:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 80,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.9979965338275385"
      ]
     },
     "execution_count": 80,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.exp(lr_log_coefs.loc[\"LotFrontage\", \"Coefficient\"])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "(Advanced note) For those familiar with Taylor expansions, you will know that when $x$ is small then $\\exp(x)\\approx 1+x$, which is what you're seeing here. But in general we might have big coefficients and this approximation is not helpful to think about."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's test this out!"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 81,
   "metadata": {},
   "outputs": [],
   "source": [
    "one_example = X_test[:1]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 82,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([216017.19888138])"
      ]
     },
     "execution_count": 82,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.exp(lr_log.predict(one_example))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 83,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "9576.071817790295"
      ]
     },
     "execution_count": 83,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "lr_scales.loc[\"LotArea\",\"Scale\"]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 84,
   "metadata": {},
   "outputs": [],
   "source": [
    "one_example_perturbed = one_example.copy()\n",
    "one_example_perturbed[\"LotArea\"] += lr_scales.loc[\"LotArea\",\"Scale\"] # add 1 to the scaled LotArea"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 85,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([218874.30219532])"
      ]
     },
     "execution_count": 85,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.exp(lr_log.predict(one_example_perturbed))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 86,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([1.01322628])"
      ]
     },
     "execution_count": 86,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.exp(lr_log.predict(one_example_perturbed)) / np.exp(lr_log.predict(one_example))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "- So we can say something like, \"Increasing the lot area by ~10,000 sq ft causes the predicted price to go up by around 1.3%\".\n",
    "- Again, I am being careful to say \"predicted price\" instead of price, because we're just talking about our model, not the world."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "## Feature importances: beyond linear models (20 min)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "#### Why model interpretability? \n",
    "\n",
    "- Ability to interpret ML models is crucial in many applications such as banking, healthcare, and criminal justice.\n",
    "- It can be leveraged by domain experts to diagnose systematic errors and underlying biases of complex ML systems. \n",
    "- One problem is that often simple models are interpretable but not accurate.\n",
    "- But more complex models, like random forests, are less interpretable.\n",
    "- In this course, our definition of model iterpretability will be looking at feature importances.\n",
    "- There is more to interpretability than feature importances, but it's a good start!"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "#### Model interpretability \n",
    "\n",
    "We will be looking at two ways of getting feature importances for non-linear models. \n",
    "  - sklearn `feature_importances_`\n",
    "  - [SHAP](https://github.com/slundberg/shap)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 87,
   "metadata": {},
   "outputs": [],
   "source": [
    "rf = make_pipeline(preprocessing, RandomForestRegressor(random_state=111))\n",
    "rf.fit(X_train, np.log(y_train));"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 88,
   "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>Importance</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>OverallQual</th>\n",
       "      <td>0.544057</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>GrLivArea</th>\n",
       "      <td>0.109479</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>TotalBsmtSF</th>\n",
       "      <td>0.052421</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>GarageCars</th>\n",
       "      <td>0.049012</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1stFlrSF</th>\n",
       "      <td>0.023216</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "             Importance\n",
       "OverallQual    0.544057\n",
       "GrLivArea      0.109479\n",
       "TotalBsmtSF    0.052421\n",
       "GarageCars     0.049012\n",
       "1stFlrSF       0.023216"
      ]
     },
     "execution_count": 88,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "rf_importances = pd.DataFrame(data=rf[1].feature_importances_, index=new_columns, columns=[\"Importance\"])\n",
    "rf_importances.sort_values(by=\"Importance\", ascending=False).head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "- Unlike the linear model coefficients, `feature_importances_` do not have a sign!\n",
    "  - They tell us about importance, but not an \"up or down\".\n",
    "  - Indeed, increasing a feature may cause the prediction to first go up, and then go down.\n",
    "  - This cannot happen in linear models, because they are linear.\n",
    "  - ^ This is a key point!!\n",
    "- We could compare with the absolute value of the coefficients from Ridge:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 89,
   "metadata": {},
   "outputs": [],
   "source": [
    "lr_tuned_log = make_pipeline(preprocessing, Ridge(alpha=100))\n",
    "lr_tuned_log.fit(X_train, np.log(y_train));"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 90,
   "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",
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       "\n",
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       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Coefficient</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>OverallQual</th>\n",
       "      <td>0.079477</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>GarageCars</th>\n",
       "      <td>0.044766</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>GrLivArea</th>\n",
       "      <td>0.043596</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>OverallCond</th>\n",
       "      <td>0.040942</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>BsmtQual</th>\n",
       "      <td>0.035982</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "             Coefficient\n",
       "OverallQual     0.079477\n",
       "GarageCars      0.044766\n",
       "GrLivArea       0.043596\n",
       "OverallCond     0.040942\n",
       "BsmtQual        0.035982"
      ]
     },
     "execution_count": 90,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "lr_tuned_log_coefs = pd.DataFrame(data=lr_tuned_log[1].coef_, index=new_columns, columns=[\"Coefficient\"])\n",
    "lr_tuned_log_coefs.abs().sort_values(by=\"Coefficient\", ascending=False).head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "- Both models agree that overall quality is by far the most important feature (makes sense!).\n",
    "- Note: we should not be comparing the actual numbers, e.g. 0.5 from random forest vs. 0.08 from linear regression."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "- These values tell us globally about which features are important.\n",
    "- But what if you want to explain a _specific_ prediction. \n",
    "- Some fancier tools can help us do this."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### SHAP  (SHapley Additive exPlanations)\n",
    "\n",
    "- A sophisticated measure of the contribution of each feature.\n",
    "- For more detail, see [GitHub repo](https://github.com/slundberg/shap) and [paper](https://arxiv.org/pdf/1705.07874.pdf).\n",
    "- We won't go in details. You may refer to  if you are interested to know more. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 91,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Setting feature_perturbation = \"tree_path_dependent\" because no background data was given.\n"
     ]
    }
   ],
   "source": [
    "explainer = shap.TreeExplainer(rf[1])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "- For both the linear regression coefficients and the random forest feature importances, these were the features _after preprocessing_.\n",
    "- We'll continue to do that below."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 92,
   "metadata": {},
   "outputs": [],
   "source": [
    "X_train_enc = pd.DataFrame(preprocessing.transform(X_train), index=X_train.index, columns=new_columns)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 93,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(1095, 292)"
      ]
     },
     "execution_count": 93,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "X_train_enc.shape"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We'll compute the SHAP values on the training set (but could do it for other data):"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 94,
   "metadata": {},
   "outputs": [],
   "source": [
    "shap_values = explainer.shap_values(X_train_enc) # this takes a couple minutes"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This is just a numpy array:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 95,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(1095, 292)"
      ]
     },
     "execution_count": 95,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "shap_values.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 96,
   "metadata": {},
   "outputs": [
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r={topAbort:null,topAnimationEnd:null,topAnimationIteration:null,topAnimationStart:null,topBlur:null,topCanPlay:null,topCanPlayThrough:null,topChange:null,topClick:null,topCompositionEnd:null,topCompositionStart:null,topCompositionUpdate:null,topContextMenu:null,topCopy:null,topCut:null,topDoubleClick:null,topDrag:null,topDragEnd:null,topDragEnter:null,topDragExit:null,topDragLeave:null,topDragOver:null,topDragStart:null,topDrop:null,topDurationChange:null,topEmptied:null,topEncrypted:null,topEnded:null,topError:null,topFocus:null,topInput:null,topInvalid:null,topKeyDown:null,topKeyPress:null,topKeyUp:null,topLoad:null,topLoadedData:null,topLoadedMetadata:null,topLoadStart:null,topMouseDown:null,topMouseMove:null,topMouseOut:null,topMouseOver:null,topMouseUp:null,topPaste:null,topPause:null,topPlay:null,topPlaying:null,topProgress:null,topRateChange:null,topReset:null,topScroll:null,topSeeked:null,topSeeking:null,topSelectionChange:null,topStalled:null,topSubmit:null,topSuspend:null,topTextInput:null,topTimeUpdate:null,topTouchCancel:null,topTouchEnd:null,topTouchMove:null,topTouchStart:null,topTransitionEnd:null,topVolumeChange:null,topWaiting:null,topWheel:null},i={topLevelTypes:r};t.exports=i},function(t,e,n){\"use 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RegExp(\"^(data|aria)-[\"+r.ATTRIBUTE_NAME_CHAR+\"]*$\")),Properties:{accept:0,acceptCharset:0,accessKey:0,action:0,allowFullScreen:o,allowTransparency:0,alt:0,as:0,async:o,autoComplete:0,autoPlay:o,capture:o,cellPadding:0,cellSpacing:0,charSet:0,challenge:0,checked:i|o,cite:0,classID:0,className:0,cols:u,colSpan:0,content:0,contentEditable:0,contextMenu:0,controls:o,controlsList:0,coords:0,crossOrigin:0,data:0,dateTime:0,default:o,defer:o,dir:0,disabled:o,download:c,draggable:0,encType:0,form:0,formAction:0,formEncType:0,formMethod:0,formNoValidate:o,formTarget:0,frameBorder:0,headers:0,height:0,hidden:o,high:0,href:0,hrefLang:0,htmlFor:0,httpEquiv:0,icon:0,id:0,inputMode:0,integrity:0,is:0,keyParams:0,keyType:0,kind:0,label:0,lang:0,list:0,loop:o,low:0,manifest:0,marginHeight:0,marginWidth:0,max:0,maxLength:0,media:0,mediaGroup:0,method:0,min:0,minLength:0,multiple:i|o,muted:i|o,name:0,nonce:0,noValidate:o,open:o,optimum:0,pattern:0,placeholder:0,playsInline:o,poster:0,preload:0,profile:0,radioGroup:0,readOnly:o,referrerPolicy:0,rel:0,required:o,reversed:o,role:0,rows:u,rowSpan:a,sandbox:0,scope:0,scoped:o,scrolling:0,seamless:o,selected:i|o,shape:0,size:u,sizes:0,span:u,spellCheck:0,src:0,srcDoc:0,srcLang:0,srcSet:0,start:a,step:0,style:0,summary:0,tabIndex:0,target:0,title:0,type:0,useMap:0,value:0,width:0,wmode:0,wrap:0,about:0,datatype:0,inlist:0,prefix:0,property:0,resource:0,typeof:0,vocab:0,autoCapitalize:0,autoCorrect:0,autoSave:0,color:0,itemProp:0,itemScope:o,itemType:0,itemID:0,itemRef:0,results:0,security:0,unselectable:0},DOMAttributeNames:{acceptCharset:\"accept-charset\",className:\"class\",htmlFor:\"for\",httpEquiv:\"http-equiv\"},DOMPropertyNames:{},DOMMutationMethods:{value:function(t,e){if(null==e)return t.removeAttribute(\"value\");\"number\"!==t.type||!1===t.hasAttribute(\"value\")?t.setAttribute(\"value\",\"\"+e):t.validity&&!t.validity.badInput&&t.ownerDocument.activeElement!==t&&t.setAttribute(\"value\",\"\"+e)}}};t.exports=s},function(t,e,n){\"use strict\";(function(e){function r(t,e,n,r){var i=void 0===t[n];null!=e&&i&&(t[n]=o(e,!0))}var i=n(24),o=n(174),a=(n(85),n(96)),u=n(177);n(2);void 0!==e&&e.env;var c={instantiateChildren:function(t,e,n,i){if(null==t)return null;var o={};return u(t,r,o),o},updateChildren:function(t,e,n,r,u,c,s,l,f){if(e||t){var p,h;for(p in e)if(e.hasOwnProperty(p)){h=t&&t[p];var d=h&&h._currentElement,v=e[p];if(null!=h&&a(d,v))i.receiveComponent(h,v,u,l),e[p]=h;else{h&&(r[p]=i.getHostNode(h),i.unmountComponent(h,!1));var g=o(v,!0);e[p]=g;var m=i.mountComponent(g,u,c,s,l,f);n.push(m)}}for(p in t)!t.hasOwnProperty(p)||e&&e.hasOwnProperty(p)||(h=t[p],r[p]=i.getHostNode(h),i.unmountComponent(h,!1))}},unmountChildren:function(t,e){for(var n in t)if(t.hasOwnProperty(n)){var r=t[n];i.unmountComponent(r,e)}}};t.exports=c}).call(e,n(156))},function(t,e,n){\"use strict\";var r=n(82),i=n(364),o={processChildrenUpdates:i.dangerouslyProcessChildrenUpdates,replaceNodeWithMarkup:r.dangerouslyReplaceNodeWithMarkup};t.exports=o},function(t,e,n){\"use strict\";function r(t){}function i(t){return!(!t.prototype||!t.prototype.isReactComponent)}function o(t){return!(!t.prototype||!t.prototype.isPureReactComponent)}var a=n(1),u=n(3),c=n(26),s=n(87),l=n(15),f=n(88),p=n(39),h=(n(9),n(168)),d=n(24),v=n(51),g=(n(0),n(81)),m=n(96),y=(n(2),{ImpureClass:0,PureClass:1,StatelessFunctional:2});r.prototype.render=function(){var t=p.get(this)._currentElement.type,e=t(this.props,this.context,this.updater);return e};var _=1,b={construct:function(t){this._currentElement=t,this._rootNodeID=0,this._compositeType=null,this._instance=null,this._hostParent=null,this._hostContainerInfo=null,this._updateBatchNumber=null,this._pendingElement=null,this._pendingStateQueue=null,this._pendingReplaceState=!1,this._pendingForceUpdate=!1,this._renderedNodeType=null,this._renderedComponent=null,this._context=null,this._mountOrder=0,this._topLevelWrapper=null,this._pendingCallbacks=null,this._calledComponentWillUnmount=!1},mountComponent:function(t,e,n,u){this._context=u,this._mountOrder=_++,this._hostParent=e,this._hostContainerInfo=n;var s,l=this._currentElement.props,f=this._processContext(u),h=this._currentElement.type,d=t.getUpdateQueue(),g=i(h),m=this._constructComponent(g,l,f,d);g||null!=m&&null!=m.render?o(h)?this._compositeType=y.PureClass:this._compositeType=y.ImpureClass:(s=m,null===m||!1===m||c.isValidElement(m)||a(\"105\",h.displayName||h.name||\"Component\"),m=new r(h),this._compositeType=y.StatelessFunctional);m.props=l,m.context=f,m.refs=v,m.updater=d,this._instance=m,p.set(m,this);var b=m.state;void 0===b&&(m.state=b=null),(\"object\"!=typeof b||Array.isArray(b))&&a(\"106\",this.getName()||\"ReactCompositeComponent\"),this._pendingStateQueue=null,this._pendingReplaceState=!1,this._pendingForceUpdate=!1;var x;return x=m.unstable_handleError?this.performInitialMountWithErrorHandling(s,e,n,t,u):this.performInitialMount(s,e,n,t,u),m.componentDidMount&&t.getReactMountReady().enqueue(m.componentDidMount,m),x},_constructComponent:function(t,e,n,r){return this._constructComponentWithoutOwner(t,e,n,r)},_constructComponentWithoutOwner:function(t,e,n,r){var i=this._currentElement.type;return t?new i(e,n,r):i(e,n,r)},performInitialMountWithErrorHandling:function(t,e,n,r,i){var o,a=r.checkpoint();try{o=this.performInitialMount(t,e,n,r,i)}catch(u){r.rollback(a),this._instance.unstable_handleError(u),this._pendingStateQueue&&(this._instance.state=this._processPendingState(this._instance.props,this._instance.context)),a=r.checkpoint(),this._renderedComponent.unmountComponent(!0),r.rollback(a),o=this.performInitialMount(t,e,n,r,i)}return o},performInitialMount:function(t,e,n,r,i){var o=this._instance,a=0;o.componentWillMount&&(o.componentWillMount(),this._pendingStateQueue&&(o.state=this._processPendingState(o.props,o.context))),void 0===t&&(t=this._renderValidatedComponent());var u=h.getType(t);this._renderedNodeType=u;var c=this._instantiateReactComponent(t,u!==h.EMPTY);this._renderedComponent=c;var s=d.mountComponent(c,r,e,n,this._processChildContext(i),a);return s},getHostNode:function(){return d.getHostNode(this._renderedComponent)},unmountComponent:function(t){if(this._renderedComponent){var e=this._instance;if(e.componentWillUnmount&&!e._calledComponentWillUnmount)if(e._calledComponentWillUnmount=!0,t){var n=this.getName()+\".componentWillUnmount()\";f.invokeGuardedCallback(n,e.componentWillUnmount.bind(e))}else e.componentWillUnmount();this._renderedComponent&&(d.unmountComponent(this._renderedComponent,t),this._renderedNodeType=null,this._renderedComponent=null,this._instance=null),this._pendingStateQueue=null,this._pendingReplaceState=!1,this._pendingForceUpdate=!1,this._pendingCallbacks=null,this._pendingElement=null,this._context=null,this._rootNodeID=0,this._topLevelWrapper=null,p.remove(e)}},_maskContext:function(t){var e=this._currentElement.type,n=e.contextTypes;if(!n)return v;var r={};for(var i in n)r[i]=t[i];return r},_processContext:function(t){var e=this._maskContext(t);return e},_processChildContext:function(t){var e,n=this._currentElement.type,r=this._instance;if(r.getChildContext&&(e=r.getChildContext()),e){\"object\"!=typeof n.childContextTypes&&a(\"107\",this.getName()||\"ReactCompositeComponent\");for(var i in e)i in n.childContextTypes||a(\"108\",this.getName()||\"ReactCompositeComponent\",i);return u({},t,e)}return t},_checkContextTypes:function(t,e,n){},receiveComponent:function(t,e,n){var r=this._currentElement,i=this._context;this._pendingElement=null,this.updateComponent(e,r,t,i,n)},performUpdateIfNecessary:function(t){null!=this._pendingElement?d.receiveComponent(this,this._pendingElement,t,this._context):null!==this._pendingStateQueue||this._pendingForceUpdate?this.updateComponent(t,this._currentElement,this._currentElement,this._context,this._context):this._updateBatchNumber=null},updateComponent:function(t,e,n,r,i){var o=this._instance;null==o&&a(\"136\",this.getName()||\"ReactCompositeComponent\");var u,c=!1;this._context===i?u=o.context:(u=this._processContext(i),c=!0);var s=e.props,l=n.props;e!==n&&(c=!0),c&&o.componentWillReceiveProps&&o.componentWillReceiveProps(l,u);var f=this._processPendingState(l,u),p=!0;this._pendingForceUpdate||(o.shouldComponentUpdate?p=o.shouldComponentUpdate(l,f,u):this._compositeType===y.PureClass&&(p=!g(s,l)||!g(o.state,f))),this._updateBatchNumber=null,p?(this._pendingForceUpdate=!1,this._performComponentUpdate(n,l,f,u,t,i)):(this._currentElement=n,this._context=i,o.props=l,o.state=f,o.context=u)},_processPendingState:function(t,e){var n=this._instance,r=this._pendingStateQueue,i=this._pendingReplaceState;if(this._pendingReplaceState=!1,this._pendingStateQueue=null,!r)return n.state;if(i&&1===r.length)return r[0];for(var o=u({},i?r[0]:n.state),a=i?1:0;a<r.length;a++){var c=r[a];u(o,\"function\"==typeof c?c.call(n,o,t,e):c)}return o},_performComponentUpdate:function(t,e,n,r,i,o){var a,u,c,s=this._instance,l=Boolean(s.componentDidUpdate);l&&(a=s.props,u=s.state,c=s.context),s.componentWillUpdate&&s.componentWillUpdate(e,n,r),this._currentElement=t,this._context=o,s.props=e,s.state=n,s.context=r,this._updateRenderedComponent(i,o),l&&i.getReactMountReady().enqueue(s.componentDidUpdate.bind(s,a,u,c),s)},_updateRenderedComponent:function(t,e){var n=this._renderedComponent,r=n._currentElement,i=this._renderValidatedComponent(),o=0;if(m(r,i))d.receiveComponent(n,i,t,this._processChildContext(e));else{var a=d.getHostNode(n);d.unmountComponent(n,!1);var u=h.getType(i);this._renderedNodeType=u;var c=this._instantiateReactComponent(i,u!==h.EMPTY);this._renderedComponent=c;var s=d.mountComponent(c,t,this._hostParent,this._hostContainerInfo,this._processChildContext(e),o);this._replaceNodeWithMarkup(a,s,n)}},_replaceNodeWithMarkup:function(t,e,n){s.replaceNodeWithMarkup(t,e,n)},_renderValidatedComponentWithoutOwnerOrContext:function(){var t=this._instance;return t.render()},_renderValidatedComponent:function(){var t;if(this._compositeType!==y.StatelessFunctional){l.current=this;try{t=this._renderValidatedComponentWithoutOwnerOrContext()}finally{l.current=null}}else t=this._renderValidatedComponentWithoutOwnerOrContext();return null===t||!1===t||c.isValidElement(t)||a(\"109\",this.getName()||\"ReactCompositeComponent\"),t},attachRef:function(t,e){var n=this.getPublicInstance();null==n&&a(\"110\");var r=e.getPublicInstance();(n.refs===v?n.refs={}:n.refs)[t]=r},detachRef:function(t){delete this.getPublicInstance().refs[t]},getName:function(){var t=this._currentElement.type,e=this._instance&&this._instance.constructor;return t.displayName||e&&e.displayName||t.name||e&&e.name||null},getPublicInstance:function(){var t=this._instance;return this._compositeType===y.StatelessFunctional?null:t},_instantiateReactComponent:null};t.exports=b},function(t,e,n){\"use strict\";var r=n(4),i=n(372),o=n(167),a=n(24),u=n(12),c=n(385),s=n(401),l=n(171),f=n(408);n(2);i.inject();var p={findDOMNode:s,render:o.render,unmountComponentAtNode:o.unmountComponentAtNode,version:c,unstable_batchedUpdates:u.batchedUpdates,unstable_renderSubtreeIntoContainer:f};\"undefined\"!=typeof __REACT_DEVTOOLS_GLOBAL_HOOK__&&\"function\"==typeof __REACT_DEVTOOLS_GLOBAL_HOOK__.inject&&__REACT_DEVTOOLS_GLOBAL_HOOK__.inject({ComponentTree:{getClosestInstanceFromNode:r.getClosestInstanceFromNode,getNodeFromInstance:function(t){return t._renderedComponent&&(t=l(t)),t?r.getNodeFromInstance(t):null}},Mount:o,Reconciler:a});t.exports=p},function(t,e,n){\"use strict\";function r(t){if(t){var e=t._currentElement._owner||null;if(e){var n=e.getName();if(n)return\" This DOM node was rendered by `\"+n+\"`.\"}}return\"\"}function i(t,e){e&&($[t._tag]&&(null!=e.children||null!=e.dangerouslySetInnerHTML)&&g(\"137\",t._tag,t._currentElement._owner?\" Check the render method of 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Y)Y.hasOwnProperty(n)&&t._wrapperState.listeners.push(M.trapBubbledEvent(n,Y[n],e));break;case\"source\":t._wrapperState.listeners=[M.trapBubbledEvent(\"topError\",\"error\",e)];break;case\"img\":t._wrapperState.listeners=[M.trapBubbledEvent(\"topError\",\"error\",e),M.trapBubbledEvent(\"topLoad\",\"load\",e)];break;case\"form\":t._wrapperState.listeners=[M.trapBubbledEvent(\"topReset\",\"reset\",e),M.trapBubbledEvent(\"topSubmit\",\"submit\",e)];break;case\"input\":case\"select\":case\"textarea\":t._wrapperState.listeners=[M.trapBubbledEvent(\"topInvalid\",\"invalid\",e)]}}function p(){P.postUpdateWrapper(this)}function h(t){Z.call(Q,t)||(X.test(t)||g(\"65\",t),Q[t]=!0)}function d(t,e){return t.indexOf(\"-\")>=0||null!=e.is}function v(t){var e=t.type;h(e),this._currentElement=t,this._tag=e.toLowerCase(),this._namespaceURI=null,this._renderedChildren=null,this._previousStyle=null,this._previousStyleCopy=null,this._hostNode=null,this._hostParent=null,this._rootNodeID=0,this._domID=0,this._hostContainerInfo=null,this._wrapperState=null,this._topLevelWrapper=null,this._flags=0}var g=n(1),m=n(3),y=n(346),_=n(348),b=n(20),x=n(83),w=n(21),C=n(160),k=n(22),E=n(84),M=n(53),T=n(161),S=n(4),N=n(365),A=n(366),P=n(162),O=n(369),I=(n(9),n(378)),D=n(383),R=(n(11),n(56)),L=(n(0),n(95),n(81),n(173)),U=(n(97),n(2),T),F=k.deleteListener,j=S.getNodeFromInstance,B=M.listenTo,V=E.registrationNameModules,W={string:!0,number:!0},z=\"__html\",H={children:null,dangerouslySetInnerHTML:null,suppressContentEditableWarning:null},q=11,Y={topAbort:\"abort\",topCanPlay:\"canplay\",topCanPlayThrough:\"canplaythrough\",topDurationChange:\"durationchange\",topEmptied:\"emptied\",topEncrypted:\"encrypted\",topEnded:\"ended\",topError:\"error\",topLoadedData:\"loadeddata\",topLoadedMetadata:\"loadedmetadata\",topLoadStart:\"loadstart\",topPause:\"pause\",topPlay:\"play\",topPlaying:\"playing\",topProgress:\"progress\",topRateChange:\"ratechange\",topSeeked:\"seeked\",topSeeking:\"seeking\",topStalled:\"stalled\",topSuspend:\"suspend\",topTimeUpdate:\"timeupdate\",topVolumeChange:\"volumechange\",topWaiting:\"waiting\"},K={area:!0,base:!0,br:!0,col:!0,embed:!0,hr:!0,img:!0,input:!0,keygen:!0,link:!0,meta:!0,param:!0,source:!0,track:!0,wbr:!0},G={listing:!0,pre:!0,textarea:!0},$=m({menuitem:!0},K),X=/^[a-zA-Z][a-zA-Z:_\\.\\-\\d]*$/,Q={},Z={}.hasOwnProperty,J=1;v.displayName=\"ReactDOMComponent\",v.Mixin={mountComponent:function(t,e,n,r){this._rootNodeID=J++,this._domID=n._idCounter++,this._hostParent=e,this._hostContainerInfo=n;var o=this._currentElement.props;switch(this._tag){case\"audio\":case\"form\":case\"iframe\":case\"img\":case\"link\":case\"object\":case\"source\":case\"video\":this._wrapperState={listeners:null},t.getReactMountReady().enqueue(f,this);break;case\"input\":N.mountWrapper(this,o,e),o=N.getHostProps(this,o),t.getReactMountReady().enqueue(l,this),t.getReactMountReady().enqueue(f,this);break;case\"option\":A.mountWrapper(this,o,e),o=A.getHostProps(this,o);break;case\"select\":P.mountWrapper(this,o,e),o=P.getHostProps(this,o),t.getReactMountReady().enqueue(f,this);break;case\"textarea\":O.mountWrapper(this,o,e),o=O.getHostProps(this,o),t.getReactMountReady().enqueue(l,this),t.getReactMountReady().enqueue(f,this)}i(this,o);var a,p;null!=e?(a=e._namespaceURI,p=e._tag):n._tag&&(a=n._namespaceURI,p=n._tag),(null==a||a===x.svg&&\"foreignobject\"===p)&&(a=x.html),a===x.html&&(\"svg\"===this._tag?a=x.svg:\"math\"===this._tag&&(a=x.mathml)),this._namespaceURI=a;var h;if(t.useCreateElement){var d,v=n._ownerDocument;if(a===x.html)if(\"script\"===this._tag){var g=v.createElement(\"div\"),m=this._currentElement.type;g.innerHTML=\"<\"+m+\"></\"+m+\">\",d=g.removeChild(g.firstChild)}else d=o.is?v.createElement(this._currentElement.type,o.is):v.createElement(this._currentElement.type);else d=v.createElementNS(a,this._currentElement.type);S.precacheNode(this,d),this._flags|=U.hasCachedChildNodes,this._hostParent||C.setAttributeForRoot(d),this._updateDOMProperties(null,o,t);var _=b(d);this._createInitialChildren(t,o,r,_),h=_}else{var w=this._createOpenTagMarkupAndPutListeners(t,o),k=this._createContentMarkup(t,o,r);h=!k&&K[this._tag]?w+\"/>\":w+\">\"+k+\"</\"+this._currentElement.type+\">\"}switch(this._tag){case\"input\":t.getReactMountReady().enqueue(u,this),o.autoFocus&&t.getReactMountReady().enqueue(y.focusDOMComponent,this);break;case\"textarea\":t.getReactMountReady().enqueue(c,this),o.autoFocus&&t.getReactMountReady().enqueue(y.focusDOMComponent,this);break;case\"select\":case\"button\":o.autoFocus&&t.getReactMountReady().enqueue(y.focusDOMComponent,this);break;case\"option\":t.getReactMountReady().enqueue(s,this)}return h},_createOpenTagMarkupAndPutListeners:function(t,e){var n=\"<\"+this._currentElement.type;for(var r in e)if(e.hasOwnProperty(r)){var i=e[r];if(null!=i)if(V.hasOwnProperty(r))i&&o(this,r,i,t);else{\"style\"===r&&(i&&(i=this._previousStyleCopy=m({},e.style)),i=_.createMarkupForStyles(i,this));var a=null;null!=this._tag&&d(this._tag,e)?H.hasOwnProperty(r)||(a=C.createMarkupForCustomAttribute(r,i)):a=C.createMarkupForProperty(r,i),a&&(n+=\" \"+a)}}return t.renderToStaticMarkup?n:(this._hostParent||(n+=\" \"+C.createMarkupForRoot()),n+=\" \"+C.createMarkupForID(this._domID))},_createContentMarkup:function(t,e,n){var r=\"\",i=e.dangerouslySetInnerHTML;if(null!=i)null!=i.__html&&(r=i.__html);else{var o=W[typeof e.children]?e.children:null,a=null!=o?null:e.children;if(null!=o)r=R(o);else if(null!=a){var u=this.mountChildren(a,t,n);r=u.join(\"\")}}return G[this._tag]&&\"\\n\"===r.charAt(0)?\"\\n\"+r:r},_createInitialChildren:function(t,e,n,r){var i=e.dangerouslySetInnerHTML;if(null!=i)null!=i.__html&&b.queueHTML(r,i.__html);else{var o=W[typeof e.children]?e.children:null,a=null!=o?null:e.children;if(null!=o)\"\"!==o&&b.queueText(r,o);else if(null!=a)for(var u=this.mountChildren(a,t,n),c=0;c<u.length;c++)b.queueChild(r,u[c])}},receiveComponent:function(t,e,n){var r=this._currentElement;this._currentElement=t,this.updateComponent(e,r,t,n)},updateComponent:function(t,e,n,r){var o=e.props,a=this._currentElement.props;switch(this._tag){case\"input\":o=N.getHostProps(this,o),a=N.getHostProps(this,a);break;case\"option\":o=A.getHostProps(this,o),a=A.getHostProps(this,a);break;case\"select\":o=P.getHostProps(this,o),a=P.getHostProps(this,a);break;case\"textarea\":o=O.getHostProps(this,o),a=O.getHostProps(this,a)}switch(i(this,a),this._updateDOMProperties(o,a,t),this._updateDOMChildren(o,a,t,r),this._tag){case\"input\":N.updateWrapper(this),L.updateValueIfChanged(this);break;case\"textarea\":O.updateWrapper(this);break;case\"select\":t.getReactMountReady().enqueue(p,this)}},_updateDOMProperties:function(t,e,n){var r,i,a;for(r in t)if(!e.hasOwnProperty(r)&&t.hasOwnProperty(r)&&null!=t[r])if(\"style\"===r){var u=this._previousStyleCopy;for(i in u)u.hasOwnProperty(i)&&(a=a||{},a[i]=\"\");this._previousStyleCopy=null}else V.hasOwnProperty(r)?t[r]&&F(this,r):d(this._tag,t)?H.hasOwnProperty(r)||C.deleteValueForAttribute(j(this),r):(w.properties[r]||w.isCustomAttribute(r))&&C.deleteValueForProperty(j(this),r);for(r in e){var c=e[r],s=\"style\"===r?this._previousStyleCopy:null!=t?t[r]:void 0;if(e.hasOwnProperty(r)&&c!==s&&(null!=c||null!=s))if(\"style\"===r)if(c?c=this._previousStyleCopy=m({},c):this._previousStyleCopy=null,s){for(i in s)!s.hasOwnProperty(i)||c&&c.hasOwnProperty(i)||(a=a||{},a[i]=\"\");for(i in c)c.hasOwnProperty(i)&&s[i]!==c[i]&&(a=a||{},a[i]=c[i])}else a=c;else if(V.hasOwnProperty(r))c?o(this,r,c,n):s&&F(this,r);else if(d(this._tag,e))H.hasOwnProperty(r)||C.setValueForAttribute(j(this),r,c);else if(w.properties[r]||w.isCustomAttribute(r)){var l=j(this);null!=c?C.setValueForProperty(l,r,c):C.deleteValueForProperty(l,r)}}a&&_.setValueForStyles(j(this),a,this)},_updateDOMChildren:function(t,e,n,r){var i=W[typeof t.children]?t.children:null,o=W[typeof e.children]?e.children:null,a=t.dangerouslySetInnerHTML&&t.dangerouslySetInnerHTML.__html,u=e.dangerouslySetInnerHTML&&e.dangerouslySetInnerHTML.__html,c=null!=i?null:t.children,s=null!=o?null:e.children,l=null!=i||null!=a,f=null!=o||null!=u;null!=c&&null==s?this.updateChildren(null,n,r):l&&!f&&this.updateTextContent(\"\"),null!=o?i!==o&&this.updateTextContent(\"\"+o):null!=u?a!==u&&this.updateMarkup(\"\"+u):null!=s&&this.updateChildren(s,n,r)},getHostNode:function(){return j(this)},unmountComponent:function(t){switch(this._tag){case\"audio\":case\"form\":case\"iframe\":case\"img\":case\"link\":case\"object\":case\"source\":case\"video\":var e=this._wrapperState.listeners;if(e)for(var n=0;n<e.length;n++)e[n].remove();break;case\"input\":case\"textarea\":L.stopTracking(this);break;case\"html\":case\"head\":case\"body\":g(\"66\",this._tag)}this.unmountChildren(t),S.uncacheNode(this),k.deleteAllListeners(this),this._rootNodeID=0,this._domID=0,this._wrapperState=null},getPublicInstance:function(){return j(this)}},m(v.prototype,v.Mixin,I.Mixin),t.exports=v},function(t,e,n){\"use strict\";function r(t,e){var n={_topLevelWrapper:t,_idCounter:1,_ownerDocument:e?e.nodeType===i?e:e.ownerDocument:null,_node:e,_tag:e?e.nodeName.toLowerCase():null,_namespaceURI:e?e.namespaceURI:null};return n}var i=(n(97),9);t.exports=r},function(t,e,n){\"use strict\";var r=n(3),i=n(20),o=n(4),a=function(t){this._currentElement=null,this._hostNode=null,this._hostParent=null,this._hostContainerInfo=null,this._domID=0};r(a.prototype,{mountComponent:function(t,e,n,r){var a=n._idCounter++;this._domID=a,this._hostParent=e,this._hostContainerInfo=n;var u=\" react-empty: \"+this._domID+\" 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c=u.querySelectorAll(\"input[name=\"+JSON.stringify(\"\"+i)+'][type=\"radio\"]'),p=0;p<c.length;p++){var h=c[p];if(h!==o&&h.form===o.form){var d=l.getInstanceFromNode(h);d||a(\"90\"),f.asap(r,d)}}}return n}var a=n(1),u=n(3),c=n(160),s=n(86),l=n(4),f=n(12),p=(n(0),n(2),{getHostProps:function(t,e){var n=s.getValue(e),r=s.getChecked(e);return u({type:void 0,step:void 0,min:void 0,max:void 0},e,{defaultChecked:void 0,defaultValue:void 0,value:null!=n?n:t._wrapperState.initialValue,checked:null!=r?r:t._wrapperState.initialChecked,onChange:t._wrapperState.onChange})},mountWrapper:function(t,e){var n=e.defaultValue;t._wrapperState={initialChecked:null!=e.checked?e.checked:e.defaultChecked,initialValue:null!=e.value?e.value:n,listeners:null,onChange:o.bind(t),controlled:i(e)}},updateWrapper:function(t){var e=t._currentElement.props,n=e.checked;null!=n&&c.setValueForProperty(l.getNodeFromInstance(t),\"checked\",n||!1);var r=l.getNodeFromInstance(t),i=s.getValue(e);if(null!=i)if(0===i&&\"\"===r.value)r.value=\"0\";else if(\"number\"===e.type){var o=parseFloat(r.value,10)||0;(i!=o||i==o&&r.value!=i)&&(r.value=\"\"+i)}else r.value!==\"\"+i&&(r.value=\"\"+i);else null==e.value&&null!=e.defaultValue&&r.defaultValue!==\"\"+e.defaultValue&&(r.defaultValue=\"\"+e.defaultValue),null==e.checked&&null!=e.defaultChecked&&(r.defaultChecked=!!e.defaultChecked)},postMountWrapper:function(t){var e=t._currentElement.props,n=l.getNodeFromInstance(t);switch(e.type){case\"submit\":case\"reset\":break;case\"color\":case\"date\":case\"datetime\":case\"datetime-local\":case\"month\":case\"time\":case\"week\":n.value=\"\",n.value=n.defaultValue;break;default:n.value=n.value}var r=n.name;\"\"!==r&&(n.name=\"\"),n.defaultChecked=!n.defaultChecked,n.defaultChecked=!n.defaultChecked,\"\"!==r&&(n.name=r)}});t.exports=p},function(t,e,n){\"use strict\";function r(t){var e=\"\";return o.Children.forEach(t,function(t){null!=t&&(\"string\"==typeof t||\"number\"==typeof t?e+=t:c||(c=!0))}),e}var i=n(3),o=n(26),a=n(4),u=n(162),c=(n(2),!1),s={mountWrapper:function(t,e,n){var i=null;if(null!=n){var o=n;\"optgroup\"===o._tag&&(o=o._hostParent),null!=o&&\"select\"===o._tag&&(i=u.getSelectValueContext(o))}var a=null;if(null!=i){var c;if(c=null!=e.value?e.value+\"\":r(e.children),a=!1,Array.isArray(i)){for(var s=0;s<i.length;s++)if(\"\"+i[s]===c){a=!0;break}}else a=\"\"+i===c}t._wrapperState={selected:a}},postMountWrapper:function(t){var e=t._currentElement.props;if(null!=e.value){a.getNodeFromInstance(t).setAttribute(\"value\",e.value)}},getHostProps:function(t,e){var n=i({selected:void 0,children:void 0},e);null!=t._wrapperState.selected&&(n.selected=t._wrapperState.selected);var o=r(e.children);return o&&(n.children=o),n}};t.exports=s},function(t,e,n){\"use strict\";function r(t,e,n,r){return t===n&&e===r}function i(t){var e=document.selection,n=e.createRange(),r=n.text.length,i=n.duplicate();i.moveToElementText(t),i.setEndPoint(\"EndToStart\",n);var o=i.text.length;return{start:o,end:o+r}}function o(t){var e=window.getSelection&&window.getSelection();if(!e||0===e.rangeCount)return null;var n=e.anchorNode,i=e.anchorOffset,o=e.focusNode,a=e.focusOffset,u=e.getRangeAt(0);try{u.startContainer.nodeType,u.endContainer.nodeType}catch(t){return null}var c=r(e.anchorNode,e.anchorOffset,e.focusNode,e.focusOffset),s=c?0:u.toString().length,l=u.cloneRange();l.selectNodeContents(t),l.setEnd(u.startContainer,u.startOffset);var f=r(l.startContainer,l.startOffset,l.endContainer,l.endOffset),p=f?0:l.toString().length,h=p+s,d=document.createRange();d.setStart(n,i),d.setEnd(o,a);var v=d.collapsed;return{start:v?h:p,end:v?p:h}}function a(t,e){var n,r,i=document.selection.createRange().duplicate();void 0===e.end?(n=e.start,r=n):e.start>e.end?(n=e.end,r=e.start):(n=e.start,r=e.end),i.moveToElementText(t),i.moveStart(\"character\",n),i.setEndPoint(\"EndToStart\",i),i.moveEnd(\"character\",r-n),i.select()}function u(t,e){if(window.getSelection){var n=window.getSelection(),r=t[l()].length,i=Math.min(e.start,r),o=void 0===e.end?i:Math.min(e.end,r);if(!n.extend&&i>o){var a=o;o=i,i=a}var u=s(t,i),c=s(t,o);if(u&&c){var f=document.createRange();f.setStart(u.node,u.offset),n.removeAllRanges(),i>o?(n.addRange(f),n.extend(c.node,c.offset)):(f.setEnd(c.node,c.offset),n.addRange(f))}}}var c=n(6),s=n(405),l=n(172),f=c.canUseDOM&&\"selection\"in document&&!(\"getSelection\"in window),p={getOffsets:f?i:o,setOffsets:f?a:u};t.exports=p},function(t,e,n){\"use strict\";var r=n(1),i=n(3),o=n(82),a=n(20),u=n(4),c=n(56),s=(n(0),n(97),function(t){this._currentElement=t,this._stringText=\"\"+t,this._hostNode=null,this._hostParent=null,this._domID=0,this._mountIndex=0,this._closingComment=null,this._commentNodes=null});i(s.prototype,{mountComponent:function(t,e,n,r){var i=n._idCounter++,o=\" react-text: \"+i+\" \";if(this._domID=i,this._hostParent=e,t.useCreateElement){var s=n._ownerDocument,l=s.createComment(o),f=s.createComment(\" /react-text \"),p=a(s.createDocumentFragment());return a.queueChild(p,a(l)),this._stringText&&a.queueChild(p,a(s.createTextNode(this._stringText))),a.queueChild(p,a(f)),u.precacheNode(this,l),this._closingComment=f,p}var h=c(this._stringText);return t.renderToStaticMarkup?h:\"\\x3c!--\"+o+\"--\\x3e\"+h+\"\\x3c!-- /react-text --\\x3e\"},receiveComponent:function(t,e){if(t!==this._currentElement){this._currentElement=t;var n=\"\"+t;if(n!==this._stringText){this._stringText=n;var r=this.getHostNode();o.replaceDelimitedText(r[0],r[1],n)}}},getHostNode:function(){var t=this._commentNodes;if(t)return t;if(!this._closingComment)for(var e=u.getNodeFromInstance(this),n=e.nextSibling;;){if(null==n&&r(\"67\",this._domID),8===n.nodeType&&\" /react-text \"===n.nodeValue){this._closingComment=n;break}n=n.nextSibling}return t=[this._hostNode,this._closingComment],this._commentNodes=t,t},unmountComponent:function(){this._closingComment=null,this._commentNodes=null,u.uncacheNode(this)}}),t.exports=s},function(t,e,n){\"use strict\";function r(){this._rootNodeID&&l.updateWrapper(this)}function i(t){var e=this._currentElement.props,n=u.executeOnChange(e,t);return s.asap(r,this),n}var o=n(1),a=n(3),u=n(86),c=n(4),s=n(12),l=(n(0),n(2),{getHostProps:function(t,e){return null!=e.dangerouslySetInnerHTML&&o(\"91\"),a({},e,{value:void 0,defaultValue:void 0,children:\"\"+t._wrapperState.initialValue,onChange:t._wrapperState.onChange})},mountWrapper:function(t,e){var n=u.getValue(e),r=n;if(null==n){var a=e.defaultValue,c=e.children;null!=c&&(null!=a&&o(\"92\"),Array.isArray(c)&&(c.length<=1||o(\"93\"),c=c[0]),a=\"\"+c),null==a&&(a=\"\"),r=a}t._wrapperState={initialValue:\"\"+r,listeners:null,onChange:i.bind(t)}},updateWrapper:function(t){var e=t._currentElement.props,n=c.getNodeFromInstance(t),r=u.getValue(e);if(null!=r){var i=\"\"+r;i!==n.value&&(n.value=i),null==e.defaultValue&&(n.defaultValue=i)}null!=e.defaultValue&&(n.defaultValue=e.defaultValue)},postMountWrapper:function(t){var e=c.getNodeFromInstance(t),n=e.textContent;n===t._wrapperState.initialValue&&(e.value=n)}});t.exports=l},function(t,e,n){\"use strict\";function r(t,e){\"_hostNode\"in t||c(\"33\"),\"_hostNode\"in e||c(\"33\");for(var n=0,r=t;r;r=r._hostParent)n++;for(var i=0,o=e;o;o=o._hostParent)i++;for(;n-i>0;)t=t._hostParent,n--;for(;i-n>0;)e=e._hostParent,i--;for(var a=n;a--;){if(t===e)return t;t=t._hostParent,e=e._hostParent}return null}function i(t,e){\"_hostNode\"in 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i=n(345),o=n(347),a=n(349),u=n(351),c=n(352),s=n(355),l=n(357),f=n(360),p=n(4),h=n(362),d=n(370),v=n(368),g=n(371),m=n(375),y=n(376),_=n(381),b=n(386),x=n(387),w=n(388),C=!1;t.exports={inject:r}},function(t,e,n){\"use strict\";var r=\"function\"==typeof Symbol&&Symbol.for&&Symbol.for(\"react.element\")||60103;t.exports=r},function(t,e,n){\"use strict\";function r(t){i.enqueueEvents(t),i.processEventQueue(!1)}var i=n(22),o={handleTopLevel:function(t,e,n,o){r(i.extractEvents(t,e,n,o))}};t.exports=o},function(t,e,n){\"use strict\";function r(t){for(;t._hostParent;)t=t._hostParent;var e=f.getNodeFromInstance(t),n=e.parentNode;return f.getClosestInstanceFromNode(n)}function i(t,e){this.topLevelType=t,this.nativeEvent=e,this.ancestors=[]}function o(t){var e=h(t.nativeEvent),n=f.getClosestInstanceFromNode(e),i=n;do{t.ancestors.push(i),i=i&&r(i)}while(i);for(var o=0;o<t.ancestors.length;o++)n=t.ancestors[o],v._handleTopLevel(t.topLevelType,n,t.nativeEvent,h(t.nativeEvent))}function 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       "   if (window.SHAP) SHAP.ReactDom.render(\n",
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\"Condition1_Feedr\", \"Condition1_Norm\", \"Condition1_PosA\", \"Condition1_PosN\", \"Condition1_RRAe\", \"Condition1_RRAn\", \"Condition1_RRNe\", \"Condition1_RRNn\", \"KitchenAbvGr_1\", \"KitchenAbvGr_2\", \"HouseStyle_1.5Fin\", \"HouseStyle_1.5Unf\", \"HouseStyle_1Story\", \"HouseStyle_2.5Fin\", \"HouseStyle_2.5Unf\", \"HouseStyle_2Story\", \"HouseStyle_SFoyer\", \"HouseStyle_SLvl\", \"RoofStyle_Flat\", \"RoofStyle_Gable\", \"RoofStyle_Gambrel\", \"RoofStyle_Hip\", \"RoofStyle_Mansard\", \"RoofStyle_Shed\", \"SaleCondition_Abnorml\", \"SaleCondition_AdjLand\", \"SaleCondition_Alloca\", \"SaleCondition_Family\", \"SaleCondition_Normal\", \"SaleCondition_Partial\", \"MSSubClass_20\", \"MSSubClass_30\", \"MSSubClass_40\", \"MSSubClass_45\", \"MSSubClass_50\", \"MSSubClass_60\", \"MSSubClass_70\", \"MSSubClass_75\", \"MSSubClass_80\", \"MSSubClass_85\", \"MSSubClass_90\", \"MSSubClass_120\", \"MSSubClass_160\", \"MSSubClass_180\", \"MSSubClass_190\", \"RoofMatl_ClyTile\", \"RoofMatl_CompShg\", \"RoofMatl_Membran\", \"RoofMatl_Roll\", \"RoofMatl_Tar&Grv\", \"RoofMatl_WdShake\", \"RoofMatl_WdShngl\", \"LandSlope_Gtl\", \"LandSlope_Mod\", \"LandSlope_Sev\", \"Heating_Floor\", \"Heating_GasA\", \"Heating_GasW\", \"Heating_Grav\", \"Heating_OthW\", \"Heating_Wall\", \"LandContour_Bnk\", \"LandContour_HLS\", \"LandContour_Low\", \"LandContour_Lvl\", \"Exterior1st_AsbShng\", \"Exterior1st_BrkComm\", \"Exterior1st_BrkFace\", \"Exterior1st_CBlock\", \"Exterior1st_CemntBd\", \"Exterior1st_HdBoard\", \"Exterior1st_MetalSd\", \"Exterior1st_Plywood\", \"Exterior1st_Stone\", \"Exterior1st_Stucco\", \"Exterior1st_VinylSd\", \"Exterior1st_Wd Sdng\", \"Exterior1st_WdShing\", \"LotShape_IR1\", \"LotShape_IR2\", \"LotShape_IR3\", \"LotShape_Reg\", \"Foundation_BrkTil\", \"Foundation_CBlock\", \"Foundation_PConc\", \"Foundation_Slab\", \"Foundation_Stone\", \"Foundation_Wood\", \"Exterior2nd_AsbShng\", \"Exterior2nd_AsphShn\", \"Exterior2nd_Brk Cmn\", 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       "    document.getElementById('iZV9CQP3KSHPY3DWMPQ5M')\n",
       "  );\n",
       "</script>"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "execution_count": 99,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "shap.force_plot(explainer.expected_value, shap_values[0], X_train_enc.iloc[0])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 100,
   "metadata": {},
   "outputs": [],
   "source": [
    "# shap.force_plot(explainer.expected_value, shap_values[0], X_train_enc.iloc[0], matplotlib=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Above: for this particular training example, we can see the main factors pushing it from the base value (average over the dataset) to this particular prediction. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Note: a nice thing about SHAP values is that the feature importances sum to the prediction:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 101,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "11.94633015451298"
      ]
     },
     "execution_count": 101,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "rf[1].predict(X_train_enc)[0]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 102,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "11.946330154512983"
      ]
     },
     "execution_count": 102,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "shap_values[0].sum() + explainer.expected_value"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This is the case for classification as well, but for the \"raw model output\" rather than the probability itself, because the SHAP values do not necessarily sum to something between 0 and 1."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 103,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 540x360 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "shap.dependence_plot(\"GrLivArea\", shap_values, X_train_enc)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "- When `GrLivArea` (above grade living area) increases, the shap value also increases -> that makes sense.\n",
    "- But this type of plot also allows us to visualize non-linear or even non-monotonic behaviours.\n",
    "- Note: shap automatically selects another feature -- in this case `OverallQual` -- for colouring."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 104,
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x684 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "shap.summary_plot(shap_values, X_train_enc)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "- This plot orders features by importance (average SHAP value magnitude).\n",
    "- Each example is drawn.\n",
    "- We can see again that the prediction is higher when `OverallQual` is higher.\n",
    "- There's also a summary of the summary:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 105,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x684 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "shap.summary_plot(shap_values, X_train_enc, plot_type=\"bar\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Going back to the `feature_importances_`, we see something similar:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 106,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "rf_importances.sort_values(by=\"Importance\", ascending=False)[10::-1].plot.barh();"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "(Note: pandas has some built-in rudimentary plotting functionalities, which are quite convenient at times.) "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "#### Other tools\n",
    "\n",
    "- [ELI5](https://github.com/TeamHG-Memex/eli5) is another related package.\n",
    "- [lime](https://github.com/marcotcr/lime) is yet another."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "If you're not already impressed, keep in mind:\n",
    "\n",
    "- So far we've only used sklearn models.\n",
    "- Most sklearn models have some built-in measure of feature importances.\n",
    "- On many tasks we need to move beyond sklearn, e.g. LightGBM, deep learning.\n",
    "  - Not sure yet how much of that we'll do in this course.\n",
    "- These tools work on other models as well, which makes them extremely useful."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Why do we want this information?\n",
    "\n",
    "Possible reasons:\n",
    "\n",
    "- Identify features that are not useful and maybe remove them.\n",
    "- Get guidance on what new data to collect.\n",
    "  - New features related to useful features -> better results.\n",
    "  - Don't bother collecting useless features -> save resources.\n",
    "- Help explain why the model is making certain predictions. \n",
    "  - Debugging, if the model is behaving strangely.\n",
    "  - Regulatory requirements.\n",
    "  - Fairness / bias.\n",
    "  - Keep in mind this can be use on **deployment** predictions!\n",
    "- And more..."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Summary\n",
    "\n",
    "- Ensemble methods can be used for regression as well\n",
    "  - Averaging now takes the mean instead of voting\n",
    "  - Stacking uses linear regression as the meta-model by default (instead of logistic regression)\n",
    "- Prediction intervals are useful for communicating uncertainty\n",
    "  - We will generate them using quantile regression where available in the software packages we're using\n",
    "  - We won't interpret the quantiles formally or draw statistical conclusions\n",
    "- Like `LogisticRegression`, we have interpretable coefficients in `Ridge`\n",
    "  - Positive means increasing that feature leads to a larger prediction, vice versa for negative\n",
    "  - The interpretation requires un-scaling for numeric features, a bit easier for categorical features\n",
    "  - Relationships are not causal!\n",
    "- SHAP is an awesome tool for model interpretability\n",
    "  - It gives signed (pos or neg) feature importances\n",
    "  - Also allows us to explore a particular prediction, even on test data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Feature importances True/False\n",
    "\n",
    "Part 1:\n",
    "\n",
    "1. With linear regression, if the first coefficient is 5, that means increasing your first feature by 1 increases the prediction by 5.\n",
    "1. With linear models, increasing a feature value always impacts the prediction in the same direction; with other models, this may not be the case.\n",
    "2. Since the `PoolArea` has a positive coefficient, expanding my pool will get me a higher price when I sell my house.\n",
    "\n",
    "Part 2:\n",
    "\n",
    "1. scikit-learn's feature importances only pertain to the training data. \n",
    "2. SHAP values only pertain to the training data.\n",
    "3. Based on the plot below, newer houses tend to cost more than older houses.\n",
    "4. Based on the plot below, age is less important for higher quality houses than for lower quality houses.  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 107,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 540x360 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "shap.dependence_plot(\"YearBuilt\", shap_values, X_train_enc)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "celltoolbar": "Slideshow",
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.5"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}