{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from sklearn.linear_model import LinearRegression\n",
    "from sklearn.model_selection import train_test_split\n",
    "from sklearn.metrics import mean_squared_error\n",
    "from sklearn.preprocessing import PolynomialFeatures\n",
    "\n",
    "house_df = pd.read_csv('kc_house_data.csv')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Exercise 1\n",
    "a) Create and train simple regression model of sqft_living to price.  \n",
    "b) Evaluate and visualise created model.  \n",
    "c) Create and plot higher order polynomial regression models."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "LinearRegression(copy_X=True, fit_intercept=True, n_jobs=1, normalize=False)"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#a)\n",
    "\n",
    "X = house_df.sqft_living.values.reshape(-1,1)[:1000]\n",
    "y = house_df.price.values.reshape(-1)[:1000]\n",
    "\n",
    "model = LinearRegression() \n",
    "\n",
    "#Your code:\n",
    "\n",
    "\n",
    "#Hint: .fit()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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eYPkj59zDAM65V5xzvc65PuA7DHRL3Q80Jr19FnAgzfIOoM7MRqUsH7Qt//XJwJE02xrE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\nAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7efd222411d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Mean squared error equals: 57947526161.28837\n",
      "0.496708801663114\n"
     ]
    }
   ],
   "source": [
    "#b)\n",
    "\n",
    "#Your code:\n",
    "\n",
    "#Hint: model.predict(), model.intercept_,  model.coef_, model.score()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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FF3tDk844A3r3zsqp8n03WDFSMVJ6LsXIAmqDc/DYY958/WXL4LTT4Ne/hk9/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\n2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fv95JUVtt+504Ey05O/CK0Rlykh3YhEI11KMau8Ii310TxOOmvklFdXtKiH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/MYVjP3iN7zt15s8/PYt/HHA8P3Tq7DzJWtcfmLy+N03WthqVDgv/wOJ1J7bJWt//rgq9+IuI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\nAAAAm1wCAACwySUAAACbXAIAALAFyyQOxZdu/NcAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7efd187ac160>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#c)\n",
    "\n",
    "for order in range(1,9):\n",
    "    \n",
    "    poly = PolynomialFeatures(order, include_bias = False)\n",
    "    X_order = poly.fit_transform(X)\n",
    "    \n",
    "    #Your code:\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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AK3p3zdZ9M8dr4+4qfWneMtWz4DoAAAA6iTZN43T3uWZWIuk8SSbpY+7+5hGe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\n4ywAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7efd22230358>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#Your code:\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Exercise 2\n",
    "In reality, we are not given the full dataset, so we need to create models which are able to handle unknown data.  \n",
    "a) Split your data into training sample and test sample and repeat exercise 1 c). Plot training and test errors for all models. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7efd05fcb828>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
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JA2sBKwZGAqfYGVRSFsQYOdDVy54DXext66a5rYu9bV3sOdDFnrZu9rZ1saOl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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7efd05fcb470>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#a)\n",
    "\n",
    "for order in range(1,9):\n",
    "    \n",
    "    X_train, X_test, y_train, y_test = train_test_split(X_order, y, test_size=0.3, random_state=44)\n",
    "    \n",
    "    ..."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Exercise 3\n",
    "a) Train model to predict sqft_living for a given house price. Plot predictions.  \n",
    "b) Apply more features and propose better model for predicting house prices. Try to beat proposed one."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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HUjAuIoXW3QqLKSgUEZGKoTV/RdbU1Ll5fHOzbw0xYQLce68PBMePz6p5vIJx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\nTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7efd18475048>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Mean squared error equals: 396407.1889615158\n"
     ]
    }
   ],
   "source": [
    "#a)\n",
    "\n",
    "X = house_df.price.values.reshape(-1,1)[:1000]\n",
    "y = house_df.sqft_living.values.reshape(-1)[:1000]\n",
    "\n",
    "#Your code:\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Mean squared error equals: 48749900202.864044\n"
     ]
    }
   ],
   "source": [
    "#b) Let's propose model, which uses living sqft, lot sqft, grade, view and all of their interactions up to third degree\n",
    "\n",
    "X = house_df[['sqft_living', 'sqft_lot', 'grade', 'view']].values.reshape(-1,4)\n",
    "y = house_df.price.values.reshape(-1)\n",
    "\n",
    "poly = PolynomialFeatures(3, include_bias = False)\n",
    "X = poly.fit_transform(X)\n",
    "\n",
    "X_train, X_test, y_train, y_test = train_test_split(X, y, test_size=0.5, random_state=43)\n",
    "    \n",
    "model = LinearRegression() \n",
    "_= model.fit(X_train, y_train) \n",
    "\n",
    "y_pred = model.predict(X_test)\n",
    "print(\"Mean squared error equals: {0}\".format(mean_squared_error(y_pred, y_test)))\n",
    "\n",
    "\n",
    "#Your model:\n"
   ]
  }
 ],
 "metadata": {
  "anaconda-cloud": {},
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.12"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
