#weak2 -dataset-Predicting house prices.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Fire up graphlab create"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "import graphlab"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Load some house sales data\n",
    "\n",
    "Dataset is from house sales in King County, the region where the city of Seattle, WA is located."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "[INFO] graphlab.cython.cy_server: GraphLab Create v2.1 started. Logging: /tmp/graphlab_server_1536411516.log\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "This non-commercial license of GraphLab Create for academic use is assigned to yadav.rahul18@outlook.com and will expire on September 07, 2019.\n"
     ]
    }
   ],
   "source": [
    "sales = graphlab.SFrame('/home/rahul/home_data.gl')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
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       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">0</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">1995</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">0</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">98003</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">47.30972002</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">0</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">3</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">7</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">1060</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">0</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">1963</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">0</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">98198</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">47.40949984</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">0</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">3</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">7</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">1050</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">730</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">1960</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">0</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">98146</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">47.51229381</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">0</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">3</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">7</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">1890</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">0</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">2003</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">0</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">98038</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">47.36840673</td>\n",
       "    </tr>\n",
       "</table>\n",
       "<table frame=\"box\" rules=\"cols\">\n",
       "    <tr>\n",
       "        <th style=\"padding-left: 1em; padding-right: 1em; text-align: center\">long</th>\n",
       "        <th style=\"padding-left: 1em; padding-right: 1em; text-align: center\">sqft_living15</th>\n",
       "        <th style=\"padding-left: 1em; padding-right: 1em; text-align: center\">sqft_lot15</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">-122.25677536</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">1340.0</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">5650.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">-122.3188624</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">1690.0</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">7639.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">-122.23319601</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">2720.0</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">8062.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">-122.39318505</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">1360.0</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">5000.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">-122.04490059</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">1800.0</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">7503.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">-122.00528655</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">4760.0</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">101930.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">-122.32704857</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">2238.0</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">6819.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">-122.31457273</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">1650.0</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">9711.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">-122.33659507</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">1780.0</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">8113.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">-122.0308176</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">2390.0</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">7570.0</td>\n",
       "    </tr>\n",
       "</table>\n",
       "[21613 rows x 21 columns]<br/>Note: Only the head of the SFrame is printed.<br/>You can use print_rows(num_rows=m, num_columns=n) to print more rows and columns.\n",
       "</div>"
      ],
      "text/plain": [
       "Columns:\n",
       "\tid\tstr\n",
       "\tdate\tdatetime\n",
       "\tprice\tint\n",
       "\tbedrooms\tstr\n",
       "\tbathrooms\tstr\n",
       "\tsqft_living\tint\n",
       "\tsqft_lot\tint\n",
       "\tfloors\tstr\n",
       "\twaterfront\tint\n",
       "\tview\tint\n",
       "\tcondition\tint\n",
       "\tgrade\tint\n",
       "\tsqft_above\tint\n",
       "\tsqft_basement\tint\n",
       "\tyr_built\tint\n",
       "\tyr_renovated\tint\n",
       "\tzipcode\tstr\n",
       "\tlat\tfloat\n",
       "\tlong\tfloat\n",
       "\tsqft_living15\tfloat\n",
       "\tsqft_lot15\tfloat\n",
       "\n",
       "Rows: 21613\n",
       "\n",
       "Data:\n",
       "+------------+---------------------------+---------+----------+-----------+-------------+\n",
       "|     id     |            date           |  price  | bedrooms | bathrooms | sqft_living |\n",
       "+------------+---------------------------+---------+----------+-----------+-------------+\n",
       "| 7129300520 | 2014-10-13 00:00:00+00:00 |  221900 |    3     |     1     |     1180    |\n",
       "| 6414100192 | 2014-12-09 00:00:00+00:00 |  538000 |    3     |    2.25   |     2570    |\n",
       "| 5631500400 | 2015-02-25 00:00:00+00:00 |  180000 |    2     |     1     |     770     |\n",
       "| 2487200875 | 2014-12-09 00:00:00+00:00 |  604000 |    4     |     3     |     1960    |\n",
       "| 1954400510 | 2015-02-18 00:00:00+00:00 |  510000 |    3     |     2     |     1680    |\n",
       "| 7237550310 | 2014-05-12 00:00:00+00:00 | 1225000 |    4     |    4.5    |     5420    |\n",
       "| 1321400060 | 2014-06-27 00:00:00+00:00 |  257500 |    3     |    2.25   |     1715    |\n",
       "| 2008000270 | 2015-01-15 00:00:00+00:00 |  291850 |    3     |    1.5    |     1060    |\n",
       "| 2414600126 | 2015-04-15 00:00:00+00:00 |  229500 |    3     |     1     |     1780    |\n",
       "| 3793500160 | 2015-03-12 00:00:00+00:00 |  323000 |    3     |    2.5    |     1890    |\n",
       "+------------+---------------------------+---------+----------+-----------+-------------+\n",
       "+----------+--------+------------+------+-----------+-------+------------+---------------+\n",
       "| sqft_lot | floors | waterfront | view | condition | grade | sqft_above | sqft_basement |\n",
       "+----------+--------+------------+------+-----------+-------+------------+---------------+\n",
       "|   5650   |   1    |     0      |  0   |     3     |   7   |    1180    |       0       |\n",
       "|   7242   |   2    |     0      |  0   |     3     |   7   |    2170    |      400      |\n",
       "|  10000   |   1    |     0      |  0   |     3     |   6   |    770     |       0       |\n",
       "|   5000   |   1    |     0      |  0   |     5     |   7   |    1050    |      910      |\n",
       "|   8080   |   1    |     0      |  0   |     3     |   8   |    1680    |       0       |\n",
       "|  101930  |   1    |     0      |  0   |     3     |   11  |    3890    |      1530     |\n",
       "|   6819   |   2    |     0      |  0   |     3     |   7   |    1715    |       0       |\n",
       "|   9711   |   1    |     0      |  0   |     3     |   7   |    1060    |       0       |\n",
       "|   7470   |   1    |     0      |  0   |     3     |   7   |    1050    |      730      |\n",
       "|   6560   |   2    |     0      |  0   |     3     |   7   |    1890    |       0       |\n",
       "+----------+--------+------------+------+-----------+-------+------------+---------------+\n",
       "+----------+--------------+---------+-------------+---------------+---------------+-----+\n",
       "| yr_built | yr_renovated | zipcode |     lat     |      long     | sqft_living15 | ... |\n",
       "+----------+--------------+---------+-------------+---------------+---------------+-----+\n",
       "|   1955   |      0       |  98178  | 47.51123398 | -122.25677536 |     1340.0    | ... |\n",
       "|   1951   |     1991     |  98125  | 47.72102274 |  -122.3188624 |     1690.0    | ... |\n",
       "|   1933   |      0       |  98028  | 47.73792661 | -122.23319601 |     2720.0    | ... |\n",
       "|   1965   |      0       |  98136  |   47.52082  | -122.39318505 |     1360.0    | ... |\n",
       "|   1987   |      0       |  98074  | 47.61681228 | -122.04490059 |     1800.0    | ... |\n",
       "|   2001   |      0       |  98053  | 47.65611835 | -122.00528655 |     4760.0    | ... |\n",
       "|   1995   |      0       |  98003  | 47.30972002 | -122.32704857 |     2238.0    | ... |\n",
       "|   1963   |      0       |  98198  | 47.40949984 | -122.31457273 |     1650.0    | ... |\n",
       "|   1960   |      0       |  98146  | 47.51229381 | -122.33659507 |     1780.0    | ... |\n",
       "|   2003   |      0       |  98038  | 47.36840673 |  -122.0308176 |     2390.0    | ... |\n",
       "+----------+--------------+---------+-------------+---------------+---------------+-----+\n",
       "[21613 rows x 21 columns]\n",
       "Note: Only the head of the SFrame is printed.\n",
       "You can use print_rows(num_rows=m, num_columns=n) to print more rows and columns."
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sales"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Question 1\n",
    "* Selection and summary statistics: We found the zip code with the highest average house price. What is the average house price of that zip code?\n",
    "\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 76,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "high=sales[sales['zipcode'=='98178']]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# finding the mean of the zipcode for average "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 77,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "540088.1419053345"
      ]
     },
     "execution_count": 77,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "high['price'].mean()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Question 2:-\n",
    "Filtering data: What fraction of the houses have living space between 2000 sq.ft. and 4000 sq.ft.?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 78,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "in_range = sales[(sales['sqft_living']>=2000) & (sales['sqft_living']<=4000)]\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 82,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div style=\"max-height:1000px;max-width:1500px;overflow:auto;\"><table frame=\"box\" rules=\"cols\">\n",
       "    <tr>\n",
       "        <th style=\"padding-left: 1em; padding-right: 1em; text-align: center\">id</th>\n",
       "        <th style=\"padding-left: 1em; padding-right: 1em; text-align: center\">date</th>\n",
       "        <th style=\"padding-left: 1em; padding-right: 1em; text-align: center\">price</th>\n",
       "        <th style=\"padding-left: 1em; padding-right: 1em; text-align: center\">bedrooms</th>\n",
       "        <th style=\"padding-left: 1em; padding-right: 1em; text-align: center\">bathrooms</th>\n",
       "        <th style=\"padding-left: 1em; padding-right: 1em; text-align: center\">sqft_living</th>\n",
       "        <th style=\"padding-left: 1em; padding-right: 1em; text-align: center\">sqft_lot</th>\n",
       "        <th style=\"padding-left: 1em; padding-right: 1em; text-align: center\">floors</th>\n",
       "        <th style=\"padding-left: 1em; padding-right: 1em; text-align: center\">waterfront</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">6414100192</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">2014-12-09 00:00:00+00:00</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">538000</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">3</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">2.25</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">2570</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">7242</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">2</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">1736800520</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">2015-04-03 00:00:00+00:00</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">662500</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">3</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">2.5</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">3560</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">9796</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">1</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">9297300055</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">2015-01-24 00:00:00+00:00</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">650000</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">4</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">3</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">2950</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">5000</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">2</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">2524049179</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">2014-08-26 00:00:00+00:00</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">2000000</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">3</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">2.75</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">3050</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">44867</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">1</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">7137970340</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">2014-07-03 00:00:00+00:00</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">285000</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">5</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">2.5</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">2270</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">6300</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">2</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">3814700200</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">2014-11-20 00:00:00+00:00</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">329000</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">3</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">2.25</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">2450</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">6500</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">2</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">1794500383</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">2014-06-26 00:00:00+00:00</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">937000</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">3</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">1.75</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">2450</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">2691</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">2</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">1873100390</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">2015-03-02 00:00:00+00:00</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">719000</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">4</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">2.5</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">2570</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">7173</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">2</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">8562750320</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">2014-11-10 00:00:00+00:00</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">580500</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">3</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">2.5</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">2320</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">3980</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">2</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">0461000390</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">2014-06-24 00:00:00+00:00</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">687500</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">4</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">1.75</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">2330</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">5000</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">1.5</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">0</td>\n",
       "    </tr>\n",
       "</table>\n",
       "<table frame=\"box\" rules=\"cols\">\n",
       "    <tr>\n",
       "        <th style=\"padding-left: 1em; padding-right: 1em; text-align: center\">view</th>\n",
       "        <th style=\"padding-left: 1em; padding-right: 1em; text-align: center\">condition</th>\n",
       "        <th style=\"padding-left: 1em; padding-right: 1em; text-align: center\">grade</th>\n",
       "        <th style=\"padding-left: 1em; padding-right: 1em; text-align: center\">sqft_above</th>\n",
       "        <th style=\"padding-left: 1em; padding-right: 1em; text-align: center\">sqft_basement</th>\n",
       "        <th style=\"padding-left: 1em; padding-right: 1em; text-align: center\">yr_built</th>\n",
       "        <th style=\"padding-left: 1em; padding-right: 1em; text-align: center\">yr_renovated</th>\n",
       "        <th style=\"padding-left: 1em; padding-right: 1em; text-align: center\">zipcode</th>\n",
       "        <th style=\"padding-left: 1em; padding-right: 1em; text-align: center\">lat</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">0</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">3</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">7</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">2170</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">400</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">1951</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">1991</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">98125</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">47.72102274</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">0</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">3</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">8</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">1860</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">1700</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">1965</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">0</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">98007</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">47.60065993</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">3</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">3</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">9</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">1980</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">970</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">1979</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">0</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">98126</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">47.57136955</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">4</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">3</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">9</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">2330</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">720</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">1968</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">0</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">98040</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">47.53164379</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">0</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">3</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">8</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">2270</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">0</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">1995</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">0</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">98092</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">47.32658071</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">0</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">4</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">8</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">2450</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">0</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">1985</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">0</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">98030</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">47.37386303</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">0</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">3</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">8</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">1750</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">700</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">1915</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">0</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">98119</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">47.63855772</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">0</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">3</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">8</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">2570</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">0</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">2005</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">0</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">98052</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">47.70732168</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">0</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">3</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">8</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">2320</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">0</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">2003</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">0</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">98027</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">47.5391103</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">0</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">4</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">7</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">1510</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">820</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">1929</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">0</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">98117</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">47.68228235</td>\n",
       "    </tr>\n",
       "</table>\n",
       "<table frame=\"box\" rules=\"cols\">\n",
       "    <tr>\n",
       "        <th style=\"padding-left: 1em; padding-right: 1em; text-align: center\">long</th>\n",
       "        <th style=\"padding-left: 1em; padding-right: 1em; text-align: center\">sqft_living15</th>\n",
       "        <th style=\"padding-left: 1em; padding-right: 1em; text-align: center\">sqft_lot15</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">-122.3188624</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">1690.0</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">7639.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">-122.14529566</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">2210.0</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">8925.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">-122.37541218</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">2140.0</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">4000.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">-122.23345881</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">4110.0</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">20336.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">-122.16892624</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">2240.0</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">7005.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">-122.17228981</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">2200.0</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">6865.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">-122.35985573</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">1760.0</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">3573.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">-122.11029785</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">2630.0</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">6026.0</td>\n",
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       "    <tr>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">-122.06971484</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">2580.0</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">3980.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">-122.36760203</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">1460.0</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">5000.0</td>\n",
       "    </tr>\n",
       "</table>\n",
       "[9221 rows x 21 columns]<br/>Note: Only the head of the SFrame is printed.<br/>You can use print_rows(num_rows=m, num_columns=n) to print more rows and columns.\n",
       "</div>"
      ],
      "text/plain": [
       "Columns:\n",
       "\tid\tstr\n",
       "\tdate\tdatetime\n",
       "\tprice\tint\n",
       "\tbedrooms\tstr\n",
       "\tbathrooms\tstr\n",
       "\tsqft_living\tint\n",
       "\tsqft_lot\tint\n",
       "\tfloors\tstr\n",
       "\twaterfront\tint\n",
       "\tview\tint\n",
       "\tcondition\tint\n",
       "\tgrade\tint\n",
       "\tsqft_above\tint\n",
       "\tsqft_basement\tint\n",
       "\tyr_built\tint\n",
       "\tyr_renovated\tint\n",
       "\tzipcode\tstr\n",
       "\tlat\tfloat\n",
       "\tlong\tfloat\n",
       "\tsqft_living15\tfloat\n",
       "\tsqft_lot15\tfloat\n",
       "\n",
       "Rows: 9221\n",
       "\n",
       "Data:\n",
       "+------------+---------------------------+---------+----------+-----------+-------------+\n",
       "|     id     |            date           |  price  | bedrooms | bathrooms | sqft_living |\n",
       "+------------+---------------------------+---------+----------+-----------+-------------+\n",
       "| 6414100192 | 2014-12-09 00:00:00+00:00 |  538000 |    3     |    2.25   |     2570    |\n",
       "| 1736800520 | 2015-04-03 00:00:00+00:00 |  662500 |    3     |    2.5    |     3560    |\n",
       "| 9297300055 | 2015-01-24 00:00:00+00:00 |  650000 |    4     |     3     |     2950    |\n",
       "| 2524049179 | 2014-08-26 00:00:00+00:00 | 2000000 |    3     |    2.75   |     3050    |\n",
       "| 7137970340 | 2014-07-03 00:00:00+00:00 |  285000 |    5     |    2.5    |     2270    |\n",
       "| 3814700200 | 2014-11-20 00:00:00+00:00 |  329000 |    3     |    2.25   |     2450    |\n",
       "| 1794500383 | 2014-06-26 00:00:00+00:00 |  937000 |    3     |    1.75   |     2450    |\n",
       "| 1873100390 | 2015-03-02 00:00:00+00:00 |  719000 |    4     |    2.5    |     2570    |\n",
       "| 8562750320 | 2014-11-10 00:00:00+00:00 |  580500 |    3     |    2.5    |     2320    |\n",
       "| 0461000390 | 2014-06-24 00:00:00+00:00 |  687500 |    4     |    1.75   |     2330    |\n",
       "+------------+---------------------------+---------+----------+-----------+-------------+\n",
       "+----------+--------+------------+------+-----------+-------+------------+---------------+\n",
       "| sqft_lot | floors | waterfront | view | condition | grade | sqft_above | sqft_basement |\n",
       "+----------+--------+------------+------+-----------+-------+------------+---------------+\n",
       "|   7242   |   2    |     0      |  0   |     3     |   7   |    2170    |      400      |\n",
       "|   9796   |   1    |     0      |  0   |     3     |   8   |    1860    |      1700     |\n",
       "|   5000   |   2    |     0      |  3   |     3     |   9   |    1980    |      970      |\n",
       "|  44867   |   1    |     0      |  4   |     3     |   9   |    2330    |      720      |\n",
       "|   6300   |   2    |     0      |  0   |     3     |   8   |    2270    |       0       |\n",
       "|   6500   |   2    |     0      |  0   |     4     |   8   |    2450    |       0       |\n",
       "|   2691   |   2    |     0      |  0   |     3     |   8   |    1750    |      700      |\n",
       "|   7173   |   2    |     0      |  0   |     3     |   8   |    2570    |       0       |\n",
       "|   3980   |   2    |     0      |  0   |     3     |   8   |    2320    |       0       |\n",
       "|   5000   |  1.5   |     0      |  0   |     4     |   7   |    1510    |      820      |\n",
       "+----------+--------+------------+------+-----------+-------+------------+---------------+\n",
       "+----------+--------------+---------+-------------+---------------+---------------+-----+\n",
       "| yr_built | yr_renovated | zipcode |     lat     |      long     | sqft_living15 | ... |\n",
       "+----------+--------------+---------+-------------+---------------+---------------+-----+\n",
       "|   1951   |     1991     |  98125  | 47.72102274 |  -122.3188624 |     1690.0    | ... |\n",
       "|   1965   |      0       |  98007  | 47.60065993 | -122.14529566 |     2210.0    | ... |\n",
       "|   1979   |      0       |  98126  | 47.57136955 | -122.37541218 |     2140.0    | ... |\n",
       "|   1968   |      0       |  98040  | 47.53164379 | -122.23345881 |     4110.0    | ... |\n",
       "|   1995   |      0       |  98092  | 47.32658071 | -122.16892624 |     2240.0    | ... |\n",
       "|   1985   |      0       |  98030  | 47.37386303 | -122.17228981 |     2200.0    | ... |\n",
       "|   1915   |      0       |  98119  | 47.63855772 | -122.35985573 |     1760.0    | ... |\n",
       "|   2005   |      0       |  98052  | 47.70732168 | -122.11029785 |     2630.0    | ... |\n",
       "|   2003   |      0       |  98027  |  47.5391103 | -122.06971484 |     2580.0    | ... |\n",
       "|   1929   |      0       |  98117  | 47.68228235 | -122.36760203 |     1460.0    | ... |\n",
       "+----------+--------------+---------+-------------+---------------+---------------+-----+\n",
       "[9221 rows x 21 columns]\n",
       "Note: Only the head of the SFrame is printed.\n",
       "You can use print_rows(num_rows=m, num_columns=n) to print more rows and columns."
      ]
     },
     "execution_count": 82,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    " in_range\n",
    "    "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 90,
   "metadata": {
    "collapsed": false,
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "9221"
      ]
     },
     "execution_count": 90,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    " len(in_range)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 84,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "21613"
      ]
     },
     "execution_count": 84,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "len(sales)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    " devide the 9221/21613 = .42\n",
    " which is 42%\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Exploring the data for housing sales "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The house price is correlated with the number of square feet of living space."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 121,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
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[1860, 580000], [2190, 625000], [1300, 242000], [2830, 533000], [1640, 710000], [2344, 355000], [1500, 230000], [1130, 411000], [3400, 530000], [1608, 280000], [2240, 455000], [3310, 785000], [4150, 969990], [1190, 312000]], \"columns\": [{\"dtype\": \"str\", \"name\": \"id\"}, {\"dtype\": \"datetime\", \"name\": \"date\"}, {\"dtype\": \"int\", \"name\": \"price\"}, {\"dtype\": \"str\", \"name\": \"bedrooms\"}, {\"dtype\": \"str\", \"name\": \"bathrooms\"}, {\"dtype\": \"int\", \"name\": \"sqft_living\"}, {\"dtype\": \"int\", \"name\": \"sqft_lot\"}, {\"dtype\": \"str\", \"name\": \"floors\"}, {\"dtype\": \"int\", \"name\": \"waterfront\"}, {\"dtype\": \"int\", \"name\": \"view\"}, {\"dtype\": \"int\", \"name\": \"condition\"}, {\"dtype\": \"int\", \"name\": \"grade\"}, {\"dtype\": \"int\", \"name\": \"sqft_above\"}, {\"dtype\": \"int\", \"name\": \"sqft_basement\"}, {\"dtype\": \"int\", \"name\": \"yr_built\"}, {\"dtype\": \"int\", \"name\": \"yr_renovated\"}, {\"dtype\": \"str\", \"name\": \"zipcode\"}, {\"dtype\": \"float\", \"name\": \"lat\"}, {\"dtype\": \"float\", \"name\": \"long\"}, {\"dtype\": \"float\", \"name\": \"sqft_living15\"}, {\"dtype\": \"float\", \"name\": \"sqft_lot15\"}]}, e);\n",
       "                });\n",
       "            })();\n",
       "        "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "graphlab.canvas.set_target('ipynb')\n",
    "sales.show(view=\"Scatter Plot\", x=\"sqft_living\", y=\"price\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Create a simple regression model of sqft_living to price"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Split data into training and testing.  \n",
    "We use seed=0 so that everyone running this notebook gets the same results.  In practice, you may set a random seed (or let GraphLab Create pick a random seed for you).  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 122,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "train_data,test_data = sales.random_split(.8,seed=0)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Build the regression model using only sqft_living as a feature"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 123,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<pre>Linear regression:</pre>"
      ],
      "text/plain": [
       "Linear regression:"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre>--------------------------------------------------------</pre>"
      ],
      "text/plain": [
       "--------------------------------------------------------"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre>Number of examples          : 17384</pre>"
      ],
      "text/plain": [
       "Number of examples          : 17384"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre>Number of features          : 1</pre>"
      ],
      "text/plain": [
       "Number of features          : 1"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre>Number of unpacked features : 1</pre>"
      ],
      "text/plain": [
       "Number of unpacked features : 1"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre>Number of coefficients    : 2</pre>"
      ],
      "text/plain": [
       "Number of coefficients    : 2"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre>Starting Newton Method</pre>"
      ],
      "text/plain": [
       "Starting Newton Method"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre>--------------------------------------------------------</pre>"
      ],
      "text/plain": [
       "--------------------------------------------------------"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre>+-----------+----------+--------------+--------------------+---------------+</pre>"
      ],
      "text/plain": [
       "+-----------+----------+--------------+--------------------+---------------+"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre>| Iteration | Passes   | Elapsed Time | Training-max_error | Training-rmse |</pre>"
      ],
      "text/plain": [
       "| Iteration | Passes   | Elapsed Time | Training-max_error | Training-rmse |"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre>+-----------+----------+--------------+--------------------+---------------+</pre>"
      ],
      "text/plain": [
       "+-----------+----------+--------------+--------------------+---------------+"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre>| 1         | 2        | 1.034553     | 4349521.926170     | 262943.613754 |</pre>"
      ],
      "text/plain": [
       "| 1         | 2        | 1.034553     | 4349521.926170     | 262943.613754 |"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre>+-----------+----------+--------------+--------------------+---------------+</pre>"
      ],
      "text/plain": [
       "+-----------+----------+--------------+--------------------+---------------+"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre>SUCCESS: Optimal solution found.</pre>"
      ],
      "text/plain": [
       "SUCCESS: Optimal solution found."
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre></pre>"
      ],
      "text/plain": []
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sqft_model = graphlab.linear_regression.create(train_data, target='price', features=['sqft_living'],validation_set=None)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#Evaluate the simple model"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 124,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "543054.042563\n"
     ]
    }
   ],
   "source": [
    "print test_data['price'].mean()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 125,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "{'max_error': 4143550.8825285938, 'rmse': 255191.02870527358}\n"
     ]
    }
   ],
   "source": [
    "print sqft_model.evaluate(test_data)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "RMSE of about \\$255,170!"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Let's show what our predictions look like"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Matplotlib is a Python plotting library that is also useful for plotting.  You can install it with:\n",
    "\n",
    "'pip install matplotlib'"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 126,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 127,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7f85e9b40f50>,\n",
       " <matplotlib.lines.Line2D at 0x7f85e904f050>]"
      ]
     },
     "execution_count": 127,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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FD4fraB8sZLpDEM+FFh337Kk6f35qKGw8jHjp0tTknT17th1SHbYBqlVVyeNC\ncrFlCqsOw6nHjVNdsqQ8Yb1hf9oTdj36X0ZnDGX+zu+/U7obKCHdJQy91FCikGl7iZtREsKXjTU3\nw3/9l/M4amrcWs4hnzVv/3649FIYP969tROSU1s1NW5qS9Wt5YDzkg4edJ81a+D559NfP2oj4SeQ\no+slEu5cPrnYsr10buVK14+oP7m8ZK69xPszbFjyXocNy/6m0p+/+HNkpnz8adzVmHI+cYty8uPK\nvm8ot5x1S879yffFcqUk/t9PoZkSjBJRCiXrSB/M08mb+K/6dL/ys22obGpyLzGrrna//seNS3oC\nS5e682PHJj2P6DNyZOo1o53u4QbBceNUx4xJ1hk71nlK6TyM6J064TV++tPsnki6+8r0yzn++oTo\nU8xf12F/ouMlS1r3J3rmcQ9w857NGT0ZZqBb3t6tJ5+cfO9Qvv3vqBkVOlo27s4IHeXVBp3tY6KT\nH/FBpKmp9aCSbaDZt88NfuFUVvxFavv2qY4Y0XqwTiQyD3bhIBIOuuFnzJj0wjNuXFIA2xKcdPeV\naVd8fMpwxIji7pyPT92F4j1uXOq1kn05lFVkfjT/d9rU5Mo3Nan+/OepgpOveNhUVtfFRMdEJ28K\neddJfBC5++7Wg0q2gSa+ljJiRPoBMj7Q5fNK6XAwjgtPurWaffucva31lmz3la6NUrwtNNNaTfSM\nwnWu6FqX/+byjCLT+8ufTRGq6mqXOy6RSL7KO/oeeaL5vljP0tR0TUx0THTyotBpj3QDaXxQyTbQ\nhJ7FiBHJVz5nSvw5cqTLZVbIW0TjU2dx0YkG7nTeWni+LY8m2/Ms5jRO3LOZPz8p2KF3M3zyU1m9\nmff2tqhqZtFKNx34i18Ufg82ldU1KZXoWMh0F2XpUreoncsO/mw5zcAtlou4xfcwg0C6cOLm5tw2\ncRYj9UtzM0ycmAyDHjsWVqxIn1Fg8+bUZ3HSSenDauP3vmaNW5x/9FH4xjdSsyQUmpUgSvcDrv/p\nNqSCCww48US45Ud7uWRF+hQzAK9f/zoj+o5Ie50o28Lo0c62YYNrt6UlGZRhYcVGOiwjQYF0R9GJ\nBv41a9z3ceNc4sx8E14Wst8hvpP/ySfhiCPSX7dY79WJIthCUYzngBs2DLZuTW70fOIJuO66ZAaE\n+L6f7dvdvW/Z4s7v35+8ZqY9PpnEJF4m/reJ2oqe95o10PLtGqg+mPae77zgTq6bcF3OzycU0Wgf\n1FtvJf9Shi0NAAAX/0lEQVTtqBtejcpi+3Rsei1n4gvcCxZknmrLdX0mkXDrO+kW6jNNUYXrCCNH\nJt9Bk24aKb7ekm1fTDRllmm9Kgo2iEe5RZFz8YgzkdaBEsOGpZ+KqqrKvG4UthsPWkgXeRb9fZYv\nV52xbEbG6bLaHw/L+swNoxRgazomOrkSH/jvuKN1BFm6stnWMaLF5nRRXZnWOZYsSV1HiEKi48EG\n8YE6DP8dMSK5eTS6Xrj4HYpZvE8jRrS+7yVL0otJrmVGjEg/2MfvKRKTeJ/GjfPh4gNWZ12X+c+1\nH+jdd7e+tyVLklFstnBvlBITHROdvIiiraIBKi4a8f0f0V6PyBaF0770kuq0aa29oX373PnQE4ov\n4s+bl37/RygecS9iwQLVIUNaD/bRfpx0i+F1denDmCNRCoMi0gUf9OiRKrpx0UkkkiLW2JjZAws9\nnTFjXDvRc6yq+SiryPx84XMpzzi+5ybdM+toIcrmgXUtTHRMdPImPnUWRSil81BC25gxLtVMNPUU\neRbxiLbq6mS50FOJD8BxT0c1KYqjR6cOogMHtq4XikvoSYTnFixItpsujDmaVquqSr52OrrmSy+1\njq6LykZCs3y5+zfa9JrOK1yyxPVjwQJ//9dMzCgyX/ndV1L+VmG/o2uEwhL3pDqap1NotKTRcTHR\nMdHJm3RTZ3EPJd2gls6bSCSSohWWrapywhR6O+mmz/r1U7355tTpItXWU3BxzyfT9759U89FmQai\n9Z645zZ/fmYxW7AgfcaFuBCFm17DNa7oOVed8uus3kwYlpzOKwg9zmxh6oXspyk1tkm062GiY6JT\nEOHgGV8TyTSoxT2d+HpPWDb0dCJvp6kpdRE//PTsmSo8TU2unXi5AQNU58xJFcJQaBKJpMfSs6fz\nQtLtcYm+h15S/DNiRP4JRHv0UK3qsz2ryFT33tnqOYfPL9s10+19yXc/TDmnu7KtDRqdk1KJjoVM\ndxFyCUFevtyF5EZ7NK6/Hurr4S//svUelT/+Ee69Fy67zL2GIAqrbW6GZcvcfg8RmD7dtRdRXQ0/\n+YkLUb700tRzEb/4BVxzTbJPZ5zRuszAgfDOO8lEnSGJhOvPI4+4/TLjx8PDD8PttyevJ+LkAdwb\nTMN2Egk4/nj3Pp/o5Wzx/Tfp9i6dOUlZ/bksOXJ/8zCsvZxEAn77W/ea7s98Bnbvzv6CuHSvyC5G\nKHm50/t3hdduG0ksZNo8nYzkOp/e1OQ8nPgv/XThvZmi0sJEnT16OI8mXSTaqFHpvYsePVI9ncbG\n1mUyTbdFnxtvTE6dNTYm70mk9ZRctim1cJ0mWsuaNUt17lx3XF2t2vfK/5PRk5Gr6j9+PmHEXZgn\nLd3fI5NXUMx1EZvuMtoLNr1mopOJbFmQw+mVeM6zcKoq0/6csL3nnkuu34RrKXffnb7deNmqKidE\n4X6dG25ILdO7t+qvfpVZLOJTafFItyuuyE10ojWRqJ26Oj9V+GcPZp0yO9By4OO+x9eNwlDxtgb8\ndFNlxRQKm+4y2ouJjolORjIFDKSLUAsXw6NPXV3qi9Si6K3oV3tkb2xMXX+pqUnmVksXrZZtDSVa\nc4l7Js8849ocOjTVXluretttyUE+XdCDiItES5fBOvKywmzTzz2nWn3knqwiwzHrMr7wLZtHWMiA\nX2yhyHcNyDBCKiY6wD3ATmB1YOsLLAYagUVAn+DcdGATsB44N7CPB1YDG4HZgb0HMM/XWQ7UBuem\n+vKNwJWBvQ5Y4c/NBRJZ+l/8v0YHJD7AZPrV3NiYXICvqUkd3MeMcWIwf35yeikMg44P5oMGJUVn\n/ny3+J+r8GSaBrvmmtaCE88CEA8vzvZumTFjnGCJuCm/BQs0u8h8/q8+FqhIdJuanPcSz5rQVlbq\nQgb8TAEEtv/FKDeVFJ0zgVNiojMLuMEfTwNu9cdjgVVAwgvDayTzu60ETvfHC4Hz/PHfAXP88RXA\nPE0K2+tAH+Do6Nifexi4zB/fBfxNlv6X4M/R8cn0qznXzMOhN7N8eeaQ4xEj3MAen0rL9ZNuPSj+\nGTq0ddqbtsKLlyxxQjV/viqXX5pVaI45pvVzqKtzAhUJcGQPPb9yTGHZ/hejUlR0eg0YFhOdDcBA\nfzwI2OCPbwSmBeWeBCb6MusC+xTgLn/8FDDRH1cDb8fLaFJcrvDH7wBV/viTwFNZ+l7cv0SZiQbQ\ntt4Fk6lefD9HOFCOGOF+/Wca7KNNkI2NqoMHpy+T68J9pumuOXNUjz02c5mqKjflFoZDp8vTFgnQ\nkiWqIz69PLs3c/i7rUQmLn7V1e6e05UrhkeTKxYQYFSKUomOf4N83gxQ1Z1+RN8hIgO8fQhuiiyi\nydsOAtsC+zZvj+ps9W21iMheEekX2sO2RKQ/sEdVDwVtDS7wPjo02TISZ2P7dhequ3lzMlw2DMVd\nuNCdf/NNGDMG5s2DG25wGYcjRo92WZjPOw8mT3ZtRvTvD/v2wYED6UOac+Wjj+ArX8ncRpWPTr7y\nSte3Q4fcPUye7Pp9660ug/Vppx/kLxbVJCueFWto/j2w6n8D0LOnC48+GAvlPnjQhWnv2uWOW1pS\n7znixBOTGZvB/S0KfcVBLowb5663bp3LkB1eOx3FCrk2jFJRqOjE0SK1A5BLXHheseMzZsz4+Li+\nvp76+vr8elRCsg0Sa9a4/TAR69e7fRDhIJduP8mkSfDGG+78unUu9f83v5ncQ/GjHzlBamlx5//1\nX1MF5+ab3R6Yr38djj7aDcQh8e/tIZ3gVFe7tPtvvum+b97cusz6K4TPrvJf/iN28sM+cOt7JBLO\nPwn3Ch044PYl/f73rdt89930+4pGjIDZs53Aha9PKAe9erkfDbnsf6nE3hyj69DQ0EBDQ0PpL5SL\nO0Tr6bX1pE6vrdf002tPkZxeWx/Yc51e+9egzr+SnF57m9TptSez9L14/maRaWu+ft++zOsJ0fno\n1QHRuXiyyhEjUkN4o1cdZIs2u/zy3NZoRJKvPG5rbajdnzN/mHXKbObMQ+2+RhQ8ENrCyL6OvqBv\nU3FGMaHCazp1wKvB91mRuJA+kKAHMJzUQIIVwAScl7IQON/bryUZSDCF9IEE0fHR/tzDgQDdBfxt\nlr6X4M9RHOKDRJS3LB66HL76OSQuMPPmqX7ta6m2BQtcvfD9MIMHq95+e/uF4NhjXYhy/JpF+fR+\nK/u6zLFrU8pnWnMq9FNd7UK0w9Dx8DjbGlupxKmtdm1vjlFMKiY6wEPAdmA/8BbwJS8CS3GhzIsj\nMfDlp3uxiYdMnwa8iguNviOw9wQe8fYVQF1w7ipv30hqyPRwXDTcRi9ANVn6X4q/R1GIJ3GM72KP\nR5rFE1PGI8riv9IHDFC9997MedDa+uQSJDByZPuCCVI+2UTm/K8WX9iy3Gs6DzH+vpxs2QaKHW2W\na7u2N8coFqUSHcu9VkbSrd9E+arefx8uuCA1H1dtber6TCLh1kBGj4alS90ifxRk0Cn521Ng0H9m\nPj+jNH+3AQPg7beT32tq3FpOIuGCG8AFKixdChde6Na9Ro92z37dutR6Yd40yJ5XrT2Uql3DyESp\ncq8VK5DAyEJzM6xc6RbmN2x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      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f8628588f10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(test_data['sqft_living'],test_data['price'],'.',\n",
    "        test_data['sqft_living'],sqft_model.predict(test_data),'-')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Above:  blue dots are original data, green line is the prediction from the simple regression.\n",
    "\n",
    "Below: we can view the learned regression coefficients. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 128,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div style=\"max-height:1000px;max-width:1500px;overflow:auto;\"><table frame=\"box\" rules=\"cols\">\n",
       "    <tr>\n",
       "        <th style=\"padding-left: 1em; padding-right: 1em; text-align: center\">name</th>\n",
       "        <th style=\"padding-left: 1em; padding-right: 1em; text-align: center\">index</th>\n",
       "        <th style=\"padding-left: 1em; padding-right: 1em; text-align: center\">value</th>\n",
       "        <th style=\"padding-left: 1em; padding-right: 1em; text-align: center\">stderr</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">(intercept)</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">None</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">-47114.0206702</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">4923.34437753</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">sqft_living</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">None</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">281.957850166</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">2.16405465323</td>\n",
       "    </tr>\n",
       "</table>\n",
       "[2 rows x 4 columns]<br/>\n",
       "</div>"
      ],
      "text/plain": [
       "Columns:\n",
       "\tname\tstr\n",
       "\tindex\tstr\n",
       "\tvalue\tfloat\n",
       "\tstderr\tfloat\n",
       "\n",
       "Rows: 2\n",
       "\n",
       "Data:\n",
       "+-------------+-------+----------------+---------------+\n",
       "|     name    | index |     value      |     stderr    |\n",
       "+-------------+-------+----------------+---------------+\n",
       "| (intercept) |  None | -47114.0206702 | 4923.34437753 |\n",
       "| sqft_living |  None | 281.957850166  | 2.16405465323 |\n",
       "+-------------+-------+----------------+---------------+\n",
       "[2 rows x 4 columns]"
      ]
     },
     "execution_count": 128,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sqft_model.get('coefficients')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Explore other features in the data\n",
    "\n",
    "To build a more elaborate model, we will explore using more features."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 129,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "my_features = ['bedrooms', 'bathrooms', 'sqft_living', 'sqft_lot', 'floors', 'zipcode']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 131,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
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       "                });\n",
       "            })();\n",
       "        "
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     },
     "metadata": {},
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   ],
   "source": [
    "sales[my_features].show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 132,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
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       "                require(['https://static.turi.com/products/graphlab-create/2.1/canvas/js/ipython_app.js'], function(IPythonApp){\n",
       "                    var app = new IPythonApp();\n",
       "                    app.attachView('sframe','Plots', {\"selected_variable\": {\"name\": [\"sales\"], \"descriptives\": {\"rows\": 21613, \"columns\": 21}, \"view_component\": \"Plots\", \"view_file\": \"sframe\", \"view_params\": {\"y\": \"price\", \"x\": \"zipcode\", \"columns\": [\"id\", \"date\", \"price\", \"bedrooms\", \"bathrooms\", \"sqft_living\", \"sqft_lot\", \"floors\", \"waterfront\", \"view\", \"condition\", \"grade\", \"sqft_above\", \"sqft_basement\", \"yr_built\", \"yr_renovated\", \"zipcode\", \"lat\", \"long\", \"sqft_living15\", \"sqft_lot15\"], \"view\": \"BoxWhisker Plot\"}, \"view_components\": [\"Summary\", \"Table\", \"Bar Chart\", \"BoxWhisker Plot\", \"Line Chart\", \"Scatter Plot\", \"Heat Map\", \"Plots\"], \"type\": \"SFrame\", \"columns\": [{\"dtype\": \"str\", \"name\": \"id\"}, {\"dtype\": \"datetime\", \"name\": \"date\"}, {\"dtype\": \"int\", \"name\": \"price\"}, {\"dtype\": \"str\", \"name\": \"bedrooms\"}, {\"dtype\": \"str\", \"name\": \"bathrooms\"}, {\"dtype\": \"int\", \"name\": \"sqft_living\"}, {\"dtype\": \"int\", \"name\": \"sqft_lot\"}, {\"dtype\": \"str\", \"name\": \"floors\"}, {\"dtype\": \"int\", \"name\": \"waterfront\"}, {\"dtype\": \"int\", \"name\": \"view\"}, {\"dtype\": \"int\", \"name\": \"condition\"}, {\"dtype\": \"int\", \"name\": \"grade\"}, {\"dtype\": \"int\", \"name\": \"sqft_above\"}, {\"dtype\": \"int\", \"name\": \"sqft_basement\"}, {\"dtype\": \"int\", \"name\": \"yr_built\"}, {\"dtype\": \"int\", \"name\": \"yr_renovated\"}, {\"dtype\": \"str\", \"name\": \"zipcode\"}, {\"dtype\": \"float\", \"name\": \"lat\"}, {\"dtype\": \"float\", \"name\": \"long\"}, {\"dtype\": \"float\", \"name\": \"sqft_living15\"}, {\"dtype\": \"float\", \"name\": \"sqft_lot15\"}], \"column_identifiers\": [\"bathrooms\", \"sqft_living15\", \"sqft_above\", \"grade\", \"yr_built\", \"price\", \"bedrooms\", \"zipcode\", \"long\", \"id\", \"sqft_lot15\", \"sqft_living\", \"floors\", \"sqft_lot\", \"date\", \"waterfront\", \"sqft_basement\", \"yr_renovated\", \"lat\", \"condition\", \"view\"]}, \"complete\": 1, \"ipython\": true, \"progress\": 1.0, \"data\": {\"grouped\": [[\"98001\", [100000.0, 115000.0, 180000.0, 184000.0, 215000.0, 260000.0, 320000.0, 420000.0, 427000.0, 625000.0, 850000.0]], [\"98002\", [95000.0, 111300.0, 160000.0, 163500.0, 199950.0, 235000.0, 269000.0, 298900.0, 300000.0, 370000.0, 389000.0]], [\"98003\", [128000.0, 152500.0, 199000.0, 200000.0, 229000.0, 267950.0, 333000.0, 420000.0, 429900.0, 740000.0, 950000.0]], [\"98004\", [425000.0, 595000.0, 695000.0, 720000.0, 845000.0, 1150000.0, 1691000.0, 2150000.0, 2200000.0, 3800000.0, 7062500.0]], [\"98005\", [400000.0, 411100.0, 542500.0, 549000.0, 638700.0, 768500.0, 915000.0, 1110000.0, 1125000.0, 1900000.0, 1960000.0]], [\"98006\", [247500.0, 295000.0, 450000.0, 455000.0, 575000.0, 760369.0, 978000.0, 1380000.0, 1400000.0, 2525000.0, 4208000.0]], [\"98007\", [295000.0, 330000.0, 415500.0, 419000.0, 465000.0, 555000.0, 730000.0, 900000.0, 907500.0, 1229000.0, 1315000.0]], [\"98008\", [250000.0, 277700.0, 405000.0, 415000.0, 465000.0, 545000.0, 660000.0, 850000.0, 899000.0, 3300000.0, 3567000.0]], [\"98010\", [135000.0, 162000.0, 208500.0, 212644.0, 257000.0, 360000.0, 600000.0, 712000.0, 720000.0, 935000.0, 935000.0]], [\"98011\", [245500.0, 260000.0, 347000.0, 361000.0, 411800.0, 470000.0, 550000.0, 632000.0, 650000.0, 870000.0, 1075000.0]], [\"98014\", [80000.0, 134000.0, 167000.0, 180000.0, 309000.0, 415000.0, 539000.0, 739000.0, 755000.0, 1610000.0, 1680000.0]], [\"98019\", [119500.0, 170000.0, 289275.0, 299950.0, 330000.0, 402500.0, 500000.0, 570000.0, 570000.0, 979500.0, 1015000.0]], [\"98022\", [75000.0, 152900.0, 199990.0, 200000.0, 235000.0, 280000.0, 350000.0, 475000.0, 487000.0, 750000.0, 858000.0]], [\"98023\", [86500.0, 115000.0, 188000.0, 193000.0, 224097.0, 268450.0, 316500.0, 402500.0, 415000.0, 629000.0, 1275000.0]], [\"98024\", [142000.0, 142000.0, 258000.0, 260000.0, 340000.0, 460000.0, 700000.0, 997950.0, 1065000.0, 1862000.0, 1862000.0]], [\"98027\", [130000.0, 240000.0, 352499.0, 361000.0, 450000.0, 571000.0, 716500.0, 865000.0, 890000.0, 1800000.0, 2700000.0]], [\"98028\", [160000.0, 196000.0, 300000.0, 310000.0, 379950.0, 445000.0, 526750.0, 610000.0, 619990.0, 1120000.0, 1600000.0]], [\"98029\", [285000.0, 310000.0, 413565.0, 420000.0, 485000.0, 575000.0, 690000.0, 795000.0, 812000.0, 1450000.0, 2200000.0]], [\"98030\", [120000.0, 140000.0, 213400.0, 220000.0, 249950.0, 282510.0, 339950.0, 380000.0, 386000.0, 491000.0, 565000.0]], [\"98031\", [147500.0, 152000.0, 223000.0, 230000.0, 252000.0, 288400.0, 327500.0, 377000.0, 382500.0, 680000.0, 800000.0]], [\"98032\", [85000.0, 85000.0, 165000.0, 169000.0, 221700.0, 249000.0, 285000.0, 321000.0, 324900.0, 400000.0, 545000.0]], [\"98033\", [130000.0, 305000.0, 425000.0, 437500.0, 535000.0, 678700.0, 902000.0, 1339000.0, 1378000.0, 2650000.0, 5110800.0]], [\"98034\", [90000.0, 257000.0, 330000.0, 335000.0, 387000.0, 445950.0, 525000.0, 749950.0, 799950.0, 2125000.0, 3120000.0]], [\"98038\", [110000.0, 176000.0, 240000.0, 245000.0, 285000.0, 342000.0, 410000.0, 533000.0, 540000.0, 849000.0, 1350000.0]], [\"98039\", [787500.0, 787500.0, 940000.0, 1000000.0, 1398000.0, 1905000.0, 2575000.0, 3640900.0, 3640900.0, 6885000.0, 6885000.0]], [\"98040\", [500000.0, 550000.0, 685000.0, 698000.0, 821000.0, 994000.0, 1387000.0, 1815000.0, 1900000.0, 3850000.0, 5300000.0]], [\"98042\", [105000.0, 132825.0, 200000.0, 204000.0, 240000.0, 292500.0, 359950.0, 444900.0, 450000.0, 734000.0, 859000.0]], [\"98045\", [175000.0, 189000.0, 259000.0, 271000.0, 305000.0, 399500.0, 495000.0, 665000.0, 688000.0, 1075000.0, 1950000.0]], [\"98052\", [225000.0, 315000.0, 425000.0, 432100.0, 509250.0, 615000.0, 751000.0, 852500.0, 872750.0, 1299888.0, 2200000.0]], [\"98053\", [170000.0, 300000.0, 400000.0, 405000.0, 485000.0, 635000.0, 790500.0, 955990.0, 975000.0, 1769000.0, 2280000.0]], [\"98055\", [100000.0, 126000.0, 192000.0, 197500.0, 240000.0, 295000.0, 350000.0, 430000.0, 440000.0, 580000.0, 631000.0]], [\"98056\", [139000.0, 155000.0, 230000.0, 231500.0, 289000.0, 380000.0, 510000.0, 635000.0, 640000.0, 980000.0, 3000000.0]], [\"98058\", [95000.0, 144000.0, 225000.0, 230000.0, 285000.0, 335000.0, 392000.0, 475000.0, 485000.0, 790000.0, 1500000.0]], [\"98059\", [172500.0, 217000.0, 291375.0, 294500.0, 340000.0, 435000.0, 552500.0, 751000.0, 785000.0, 1300000.0, 1780000.0]], [\"98065\", [170000.0, 208000.0, 323000.0, 335000.0, 424950.0, 500000.0, 619000.0, 710000.0, 723000.0, 1145000.0, 1998000.0]], [\"98070\", [160000.0, 181000.0, 280000.0, 285000.0, 340000.0, 465000.0, 575000.0, 729000.0, 730000.0, 1350000.0, 1379900.0]], [\"98072\", [200000.0, 275000.0, 357823.0, 365000.0, 422800.0, 515000.0, 642860.0, 879000.0, 905000.0, 1350000.0, 1565000.0]], [\"98074\", [280000.0, 325000.0, 420000.0, 434900.0, 532000.0, 642000.0, 798000.0, 922755.0, 929000.0, 1675000.0, 3075000.0]], [\"98075\", [406430.0, 432000.0, 545000.0, 550000.0, 641000.0, 739999.0, 870000.0, 1060000.0, 1062500.0, 2000000.0, 3200000.0]], [\"98077\", [250000.0, 274975.0, 335000.0, 353000.0, 510000.0, 654950.0, 835000.0, 950000.0, 985000.0, 1820000.0, 1920000.0]], [\"98092\", [90000.0, 148226.0, 210000.0, 216000.0, 263950.0, 309780.0, 379500.0, 471275.0, 480000.0, 835000.0, 930000.0]], [\"98102\", [330000.0, 350000.0, 440000.0, 475000.0, 575000.0, 720000.0, 979700.0, 1440000.0, 1443917.0, 2479000.0, 7700000.0]], [\"98103\", [238000.0, 259250.0, 352950.0, 355000.0, 432000.0, 550000.0, 695000.0, 830000.0, 850000.0, 1350000.0, 1695000.0]], [\"98105\", [380000.0, 395000.0, 483000.0, 485000.0, 550000.0, 675000.0, 1005000.0, 1415000.0, 1482500.0, 2555000.0, 3650000.0]], [\"98106\", [90000.0, 107000.0, 208400.0, 210000.0, 260000.0, 315000.0, 366000.0, 426000.0, 435000.0, 625000.0, 795000.0]], [\"98107\", [290000.0, 356000.0, 425000.0, 430000.0, 470000.0, 529950.0, 630000.0, 752500.0, 769950.0, 1205000.0, 2945000.0]], [\"98108\", [90000.0, 130000.0, 230000.0, 230000.0, 284000.0, 345000.0, 425000.0, 491000.0, 500000.0, 635000.0, 640000.0]], [\"98109\", [216650.0, 216650.0, 478000.0, 479000.0, 620000.0, 736000.0, 1000000.0, 1450000.0, 1450000.0, 2900000.0, 3200000.0]], [\"98112\", [169317.0, 350000.0, 515000.0, 524000.0, 680000.0, 915000.0, 1328000.0, 1975000.0, 2048000.0, 3000000.0, 3400000.0]], [\"98115\", [200000.0, 289500.0, 395000.0, 399000.0, 455000.0, 567000.0, 719000.0, 897000.0, 925000.0, 1500000.0, 2300000.0]], [\"98116\", [130000.0, 252000.0, 386950.0, 390000.0, 460000.0, 565500.0, 703000.0, 930000.0, 950000.0, 1598888.0, 2050000.0]], [\"98117\", [125000.0, 280000.0, 375000.0, 390000.0, 450000.0, 544000.0, 657500.0, 825000.0, 850000.0, 1275000.0, 1370000.0]], [\"98118\", [109000.0, 155000.0, 221000.0, 226000.0, 289000.0, 367500.0, 476500.0, 665000.0, 680000.0, 1309500.0, 2903000.0]], [\"98119\", [300523.0, 365000.0, 485000.0, 490000.0, 600000.0, 749950.0, 940000.0, 1320000.0, 1330000.0, 2630000.0, 3065000.0]], [\"98122\", [202000.0, 260000.0, 375000.0, 385000.0, 450000.0, 574000.0, 720000.0, 920000.0, 925000.0, 1850000.0, 2050000.0]], [\"98125\", [175000.0, 228000.0, 303697.0, 310000.0, 357250.0, 425000.0, 518000.0, 675000.0, 689000.0, 1335000.0, 2050000.0]], [\"98126\", [110000.0, 183000.0, 250000.0, 255000.0, 320000.0, 396500.0, 485000.0, 643500.0, 661000.0, 901000.0, 1085000.0]], [\"98133\", [130000.0, 210000.0, 275000.0, 277500.0, 318000.0, 375000.0, 435000.0, 507000.0, 518000.0, 729953.0, 808100.0]], [\"98136\", [200000.0, 229050.0, 340000.0, 345000.0, 398000.0, 489950.0, 660000.0, 838000.0, 850000.0, 1662000.0, 2230000.0]], [\"98144\", [181000.0, 230000.0, 325000.0, 327000.0, 374950.0, 450000.0, 666000.0, 970000.0, 1039000.0, 2450000.0, 3600000.0]], [\"98146\", [82000.0, 104950.0, 158800.0, 175000.0, 229500.0, 307000.0, 409000.0, 605000.0, 665900.0, 1250000.0, 1410000.0]], [\"98148\", [105500.0, 105500.0, 193000.0, 193000.0, 240000.0, 278000.0, 319990.0, 375000.0, 375000.0, 600600.0, 600600.0]], [\"98155\", [153000.0, 195000.0, 267800.0, 270000.0, 315000.0, 375000.0, 460000.0, 590000.0, 600000.0, 1680000.0, 4500000.0]], [\"98166\", [100000.0, 129888.0, 220000.0, 229000.0, 292000.0, 390000.0, 540500.0, 755000.0, 770000.0, 1899000.0, 2510000.0]], [\"98168\", [78000.0, 82500.0, 150550.0, 158000.0, 199950.0, 235000.0, 285000.0, 325000.0, 327200.0, 424305.0, 600000.0]], [\"98177\", [245560.0, 276000.0, 355950.0, 367500.0, 427000.0, 554000.0, 749950.0, 1075000.0, 1200000.0, 2880500.0, 3800000.0]], [\"98178\", [90000.0, 119900.0, 180000.0, 188000.0, 223000.0, 279000.0, 350000.0, 450000.0, 460000.0, 869000.0, 1700000.0]], [\"98188\", [110000.0, 110700.0, 179000.0, 179950.0, 230000.0, 265000.0, 335000.0, 400200.0, 408000.0, 706000.0, 707000.0]], [\"98198\", [95000.0, 120000.0, 174500.0, 175000.0, 216500.0, 265000.0, 340000.0, 455000.0, 475000.0, 950000.0, 1350000.0]], [\"98199\", [323000.0, 334000.0, 419000.0, 425000.0, 535000.0, 689800.0, 950000.0, 1289000.0, 1300000.0, 2160000.0, 3200000.0]]], \"omitted\": 0}, \"columns\": [{\"dtype\": \"str\", \"name\": \"id\"}, {\"dtype\": \"datetime\", \"name\": \"date\"}, {\"dtype\": \"int\", \"name\": \"price\"}, {\"dtype\": \"str\", \"name\": \"bedrooms\"}, {\"dtype\": \"str\", \"name\": \"bathrooms\"}, {\"dtype\": \"int\", \"name\": \"sqft_living\"}, {\"dtype\": \"int\", \"name\": \"sqft_lot\"}, {\"dtype\": \"str\", \"name\": \"floors\"}, {\"dtype\": \"int\", \"name\": \"waterfront\"}, {\"dtype\": \"int\", \"name\": \"view\"}, {\"dtype\": \"int\", \"name\": \"condition\"}, {\"dtype\": \"int\", \"name\": \"grade\"}, {\"dtype\": \"int\", \"name\": \"sqft_above\"}, {\"dtype\": \"int\", \"name\": \"sqft_basement\"}, {\"dtype\": \"int\", \"name\": \"yr_built\"}, {\"dtype\": \"int\", \"name\": \"yr_renovated\"}, {\"dtype\": \"str\", \"name\": \"zipcode\"}, {\"dtype\": \"float\", \"name\": \"lat\"}, {\"dtype\": \"float\", \"name\": \"long\"}, {\"dtype\": \"float\", \"name\": \"sqft_living15\"}, {\"dtype\": \"float\", \"name\": \"sqft_lot15\"}]}, e);\n",
       "                });\n",
       "            })();\n",
       "        "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sales.show(view='BoxWhisker Plot', x='zipcode', y='price')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Pull the bar at the bottom to view more of the data.  \n",
    "\n",
    "98039 is the most expensive zip code."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Build a regression model with more features"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 133,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<pre>Linear regression:</pre>"
      ],
      "text/plain": [
       "Linear regression:"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre>--------------------------------------------------------</pre>"
      ],
      "text/plain": [
       "--------------------------------------------------------"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre>Number of examples          : 17384</pre>"
      ],
      "text/plain": [
       "Number of examples          : 17384"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre>Number of features          : 6</pre>"
      ],
      "text/plain": [
       "Number of features          : 6"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre>Number of unpacked features : 6</pre>"
      ],
      "text/plain": [
       "Number of unpacked features : 6"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre>Number of coefficients    : 115</pre>"
      ],
      "text/plain": [
       "Number of coefficients    : 115"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre>Starting Newton Method</pre>"
      ],
      "text/plain": [
       "Starting Newton Method"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre>--------------------------------------------------------</pre>"
      ],
      "text/plain": [
       "--------------------------------------------------------"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre>+-----------+----------+--------------+--------------------+---------------+</pre>"
      ],
      "text/plain": [
       "+-----------+----------+--------------+--------------------+---------------+"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre>| Iteration | Passes   | Elapsed Time | Training-max_error | Training-rmse |</pre>"
      ],
      "text/plain": [
       "| Iteration | Passes   | Elapsed Time | Training-max_error | Training-rmse |"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre>+-----------+----------+--------------+--------------------+---------------+</pre>"
      ],
      "text/plain": [
       "+-----------+----------+--------------+--------------------+---------------+"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre>| 1         | 2        | 0.086381     | 3763208.270523     | 181908.848367 |</pre>"
      ],
      "text/plain": [
       "| 1         | 2        | 0.086381     | 3763208.270523     | 181908.848367 |"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre>+-----------+----------+--------------+--------------------+---------------+</pre>"
      ],
      "text/plain": [
       "+-----------+----------+--------------+--------------------+---------------+"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre>SUCCESS: Optimal solution found.</pre>"
      ],
      "text/plain": [
       "SUCCESS: Optimal solution found."
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre></pre>"
      ],
      "text/plain": []
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "my_features_model = graphlab.linear_regression.create(train_data,target='price',features=my_features,validation_set=None)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 134,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "['bedrooms', 'bathrooms', 'sqft_living', 'sqft_lot', 'floors', 'zipcode']\n"
     ]
    }
   ],
   "source": [
    "print my_features"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    " # Question 3\n",
    "Building a regression model with several more features: What is the difference in \n",
    "RMSE between the model trained with my_features and the one trained with advanced_features?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Comparing the results of the simple model with adding more features"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 135,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "{'max_error': 4143550.8825285938, 'rmse': 255191.02870527358}\n",
      "{'max_error': 3486584.509381705, 'rmse': 179542.4333126903}\n"
     ]
    }
   ],
   "source": [
    "print sqft_model.evaluate(test_data)\n",
    "print my_features_model.evaluate(test_data)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The RMSE goes down from \\$255,170 to \\$179,508 with more features."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Apply learned models to predict prices of 3 houses"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The first house we will use is considered an \"average\" house in Seattle. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 136,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "house1 = sales[sales['id']=='5309101200']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 137,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div style=\"max-height:1000px;max-width:1500px;overflow:auto;\"><table frame=\"box\" rules=\"cols\">\n",
       "    <tr>\n",
       "        <th style=\"padding-left: 1em; padding-right: 1em; text-align: center\">id</th>\n",
       "        <th style=\"padding-left: 1em; padding-right: 1em; text-align: center\">date</th>\n",
       "        <th style=\"padding-left: 1em; padding-right: 1em; text-align: center\">price</th>\n",
       "        <th style=\"padding-left: 1em; padding-right: 1em; text-align: center\">bedrooms</th>\n",
       "        <th style=\"padding-left: 1em; padding-right: 1em; text-align: center\">bathrooms</th>\n",
       "        <th style=\"padding-left: 1em; padding-right: 1em; text-align: center\">sqft_living</th>\n",
       "        <th style=\"padding-left: 1em; padding-right: 1em; text-align: center\">sqft_lot</th>\n",
       "        <th style=\"padding-left: 1em; padding-right: 1em; text-align: center\">floors</th>\n",
       "        <th style=\"padding-left: 1em; padding-right: 1em; text-align: center\">waterfront</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">5309101200</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">2014-06-05 00:00:00+00:00</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">620000</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">4</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">2.25</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">2400</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">5350</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">1.5</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">0</td>\n",
       "    </tr>\n",
       "</table>\n",
       "<table frame=\"box\" rules=\"cols\">\n",
       "    <tr>\n",
       "        <th style=\"padding-left: 1em; padding-right: 1em; text-align: center\">view</th>\n",
       "        <th style=\"padding-left: 1em; padding-right: 1em; text-align: center\">condition</th>\n",
       "        <th style=\"padding-left: 1em; padding-right: 1em; text-align: center\">grade</th>\n",
       "        <th style=\"padding-left: 1em; padding-right: 1em; text-align: center\">sqft_above</th>\n",
       "        <th style=\"padding-left: 1em; padding-right: 1em; text-align: center\">sqft_basement</th>\n",
       "        <th style=\"padding-left: 1em; padding-right: 1em; text-align: center\">yr_built</th>\n",
       "        <th style=\"padding-left: 1em; padding-right: 1em; text-align: center\">yr_renovated</th>\n",
       "        <th style=\"padding-left: 1em; padding-right: 1em; text-align: center\">zipcode</th>\n",
       "        <th style=\"padding-left: 1em; padding-right: 1em; text-align: center\">lat</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">0</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">4</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">7</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">1460</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">940</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">1929</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">0</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">98117</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">47.67632376</td>\n",
       "    </tr>\n",
       "</table>\n",
       "<table frame=\"box\" rules=\"cols\">\n",
       "    <tr>\n",
       "        <th style=\"padding-left: 1em; padding-right: 1em; text-align: center\">long</th>\n",
       "        <th style=\"padding-left: 1em; padding-right: 1em; text-align: center\">sqft_living15</th>\n",
       "        <th style=\"padding-left: 1em; padding-right: 1em; text-align: center\">sqft_lot15</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">-122.37010126</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">1250.0</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">4880.0</td>\n",
       "    </tr>\n",
       "</table>\n",
       "[? rows x 21 columns]<br/>Note: Only the head of the SFrame is printed. This SFrame is lazily evaluated.<br/>You can use sf.materialize() to force materialization.\n",
       "</div>"
      ],
      "text/plain": [
       "Columns:\n",
       "\tid\tstr\n",
       "\tdate\tdatetime\n",
       "\tprice\tint\n",
       "\tbedrooms\tstr\n",
       "\tbathrooms\tstr\n",
       "\tsqft_living\tint\n",
       "\tsqft_lot\tint\n",
       "\tfloors\tstr\n",
       "\twaterfront\tint\n",
       "\tview\tint\n",
       "\tcondition\tint\n",
       "\tgrade\tint\n",
       "\tsqft_above\tint\n",
       "\tsqft_basement\tint\n",
       "\tyr_built\tint\n",
       "\tyr_renovated\tint\n",
       "\tzipcode\tstr\n",
       "\tlat\tfloat\n",
       "\tlong\tfloat\n",
       "\tsqft_living15\tfloat\n",
       "\tsqft_lot15\tfloat\n",
       "\n",
       "Rows: Unknown\n",
       "\n",
       "Data:\n",
       "+------------+---------------------------+--------+----------+-----------+-------------+\n",
       "|     id     |            date           | price  | bedrooms | bathrooms | sqft_living |\n",
       "+------------+---------------------------+--------+----------+-----------+-------------+\n",
       "| 5309101200 | 2014-06-05 00:00:00+00:00 | 620000 |    4     |    2.25   |     2400    |\n",
       "+------------+---------------------------+--------+----------+-----------+-------------+\n",
       "+----------+--------+------------+------+-----------+-------+------------+---------------+\n",
       "| sqft_lot | floors | waterfront | view | condition | grade | sqft_above | sqft_basement |\n",
       "+----------+--------+------------+------+-----------+-------+------------+---------------+\n",
       "|   5350   |  1.5   |     0      |  0   |     4     |   7   |    1460    |      940      |\n",
       "+----------+--------+------------+------+-----------+-------+------------+---------------+\n",
       "+----------+--------------+---------+-------------+---------------+---------------+-----+\n",
       "| yr_built | yr_renovated | zipcode |     lat     |      long     | sqft_living15 | ... |\n",
       "+----------+--------------+---------+-------------+---------------+---------------+-----+\n",
       "|   1929   |      0       |  98117  | 47.67632376 | -122.37010126 |     1250.0    | ... |\n",
       "+----------+--------------+---------+-------------+---------------+---------------+-----+\n",
       "[? rows x 21 columns]\n",
       "Note: Only the head of the SFrame is printed. This SFrame is lazily evaluated.\n",
       "You can use sf.materialize() to force materialization."
      ]
     },
     "execution_count": 137,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "house1"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<img src=\"http://info.kingcounty.gov/Assessor/eRealProperty/MediaHandler.aspx?Media=2916871\">"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 140,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[620000, ... ]\n"
     ]
    }
   ],
   "source": [
    "print house1['price']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 142,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[629584.8197281545]\n"
     ]
    }
   ],
   "source": [
    "print sqft_model.predict(house1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 143,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[721918.9333272863]\n"
     ]
    }
   ],
   "source": [
    "print my_features_model.predict(house1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In this case, the model with more features provides a worse prediction than the simpler model with only 1 feature.  However, on average, the model with more features is better."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Prediction for a second, fancier house\n",
    "\n",
    "We will now examine the predictions for a fancier house."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 144,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "house2 = sales[sales['id']=='1925069082']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 145,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div style=\"max-height:1000px;max-width:1500px;overflow:auto;\"><table frame=\"box\" rules=\"cols\">\n",
       "    <tr>\n",
       "        <th style=\"padding-left: 1em; padding-right: 1em; text-align: center\">id</th>\n",
       "        <th style=\"padding-left: 1em; padding-right: 1em; text-align: center\">date</th>\n",
       "        <th style=\"padding-left: 1em; padding-right: 1em; text-align: center\">price</th>\n",
       "        <th style=\"padding-left: 1em; padding-right: 1em; text-align: center\">bedrooms</th>\n",
       "        <th style=\"padding-left: 1em; padding-right: 1em; text-align: center\">bathrooms</th>\n",
       "        <th style=\"padding-left: 1em; padding-right: 1em; text-align: center\">sqft_living</th>\n",
       "        <th style=\"padding-left: 1em; padding-right: 1em; text-align: center\">sqft_lot</th>\n",
       "        <th style=\"padding-left: 1em; padding-right: 1em; text-align: center\">floors</th>\n",
       "        <th style=\"padding-left: 1em; padding-right: 1em; text-align: center\">waterfront</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">1925069082</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">2015-05-11 00:00:00+00:00</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">2200000</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">5</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">4.25</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">4640</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">22703</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">2</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">1</td>\n",
       "    </tr>\n",
       "</table>\n",
       "<table frame=\"box\" rules=\"cols\">\n",
       "    <tr>\n",
       "        <th style=\"padding-left: 1em; padding-right: 1em; text-align: center\">view</th>\n",
       "        <th style=\"padding-left: 1em; padding-right: 1em; text-align: center\">condition</th>\n",
       "        <th style=\"padding-left: 1em; padding-right: 1em; text-align: center\">grade</th>\n",
       "        <th style=\"padding-left: 1em; padding-right: 1em; text-align: center\">sqft_above</th>\n",
       "        <th style=\"padding-left: 1em; padding-right: 1em; text-align: center\">sqft_basement</th>\n",
       "        <th style=\"padding-left: 1em; padding-right: 1em; text-align: center\">yr_built</th>\n",
       "        <th style=\"padding-left: 1em; padding-right: 1em; text-align: center\">yr_renovated</th>\n",
       "        <th style=\"padding-left: 1em; padding-right: 1em; text-align: center\">zipcode</th>\n",
       "        <th style=\"padding-left: 1em; padding-right: 1em; text-align: center\">lat</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">4</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">5</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">8</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">2860</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">1780</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">1952</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">0</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">98052</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">47.63925783</td>\n",
       "    </tr>\n",
       "</table>\n",
       "<table frame=\"box\" rules=\"cols\">\n",
       "    <tr>\n",
       "        <th style=\"padding-left: 1em; padding-right: 1em; text-align: center\">long</th>\n",
       "        <th style=\"padding-left: 1em; padding-right: 1em; text-align: center\">sqft_living15</th>\n",
       "        <th style=\"padding-left: 1em; padding-right: 1em; text-align: center\">sqft_lot15</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">-122.09722322</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">3140.0</td>\n",
       "        <td style=\"padding-left: 1em; padding-right: 1em; text-align: center; vertical-align: top\">14200.0</td>\n",
       "    </tr>\n",
       "</table>\n",
       "[? rows x 21 columns]<br/>Note: Only the head of the SFrame is printed. This SFrame is lazily evaluated.<br/>You can use sf.materialize() to force materialization.\n",
       "</div>"
      ],
      "text/plain": [
       "Columns:\n",
       "\tid\tstr\n",
       "\tdate\tdatetime\n",
       "\tprice\tint\n",
       "\tbedrooms\tstr\n",
       "\tbathrooms\tstr\n",
       "\tsqft_living\tint\n",
       "\tsqft_lot\tint\n",
       "\tfloors\tstr\n",
       "\twaterfront\tint\n",
       "\tview\tint\n",
       "\tcondition\tint\n",
       "\tgrade\tint\n",
       "\tsqft_above\tint\n",
       "\tsqft_basement\tint\n",
       "\tyr_built\tint\n",
       "\tyr_renovated\tint\n",
       "\tzipcode\tstr\n",
       "\tlat\tfloat\n",
       "\tlong\tfloat\n",
       "\tsqft_living15\tfloat\n",
       "\tsqft_lot15\tfloat\n",
       "\n",
       "Rows: Unknown\n",
       "\n",
       "Data:\n",
       "+------------+---------------------------+---------+----------+-----------+-------------+\n",
       "|     id     |            date           |  price  | bedrooms | bathrooms | sqft_living |\n",
       "+------------+---------------------------+---------+----------+-----------+-------------+\n",
       "| 1925069082 | 2015-05-11 00:00:00+00:00 | 2200000 |    5     |    4.25   |     4640    |\n",
       "+------------+---------------------------+---------+----------+-----------+-------------+\n",
       "+----------+--------+------------+------+-----------+-------+------------+---------------+\n",
       "| sqft_lot | floors | waterfront | view | condition | grade | sqft_above | sqft_basement |\n",
       "+----------+--------+------------+------+-----------+-------+------------+---------------+\n",
       "|  22703   |   2    |     1      |  4   |     5     |   8   |    2860    |      1780     |\n",
       "+----------+--------+------------+------+-----------+-------+------------+---------------+\n",
       "+----------+--------------+---------+-------------+---------------+---------------+-----+\n",
       "| yr_built | yr_renovated | zipcode |     lat     |      long     | sqft_living15 | ... |\n",
       "+----------+--------------+---------+-------------+---------------+---------------+-----+\n",
       "|   1952   |      0       |  98052  | 47.63925783 | -122.09722322 |     3140.0    | ... |\n",
       "+----------+--------------+---------+-------------+---------------+---------------+-----+\n",
       "[? rows x 21 columns]\n",
       "Note: Only the head of the SFrame is printed. This SFrame is lazily evaluated.\n",
       "You can use sf.materialize() to force materialization."
      ]
     },
     "execution_count": 145,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "house2"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<img src=\"https://ssl.cdn-redfin.com/photo/1/bigphoto/302/734302_0.jpg\">"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 146,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[1261170.404099968]\n"
     ]
    }
   ],
   "source": [
    "print sqft_model.predict(house2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 147,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[1446472.4690774973]\n"
     ]
    }
   ],
   "source": [
    "print my_features_model.predict(house2)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In this case, the model with more features provides a better prediction.  This behavior is expected here, because this house is more differentiated by features that go beyond its square feet of living space, especially the fact that it's a waterfront house. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Last house, super fancy\n",
    "\n",
    "Our last house is a very large one owned by a famous Seattleite."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 149,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "bill_gates = {'bedrooms':[8], \n",
    "              'bathrooms':[25], \n",
    "              'sqft_living':[50000], \n",
    "              'sqft_lot':[225000],\n",
    "              'floors':[4], \n",
    "              'zipcode':['98039'], \n",
    "              'condition':[10], \n",
    "              'grade':[10],\n",
    "              'waterfront':[1],\n",
    "              'view':[4],\n",
    "              'sqft_above':[37500],\n",
    "              'sqft_basement':[12500],\n",
    "              'yr_built':[1994],\n",
    "              'yr_renovated':[2010],\n",
    "              'lat':[47.627606],\n",
    "              'long':[-122.242054],\n",
    "              'sqft_living15':[5000],\n",
    "              'sqft_lot15':[40000]}"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<img src=\"https://upload.wikimedia.org/wikipedia/commons/thumb/d/d9/Bill_gates%27_house.jpg/2560px-Bill_gates%27_house.jpg\">"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 150,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[13749825.525719076]\n"
     ]
    }
   ],
   "source": [
    "print my_features_model.predict(graphlab.SFrame(bill_gates))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "The model predicts a price of over $13M for this house! But we expect the house to cost much more.  (There are very few samples in the dataset of houses that are this fancy, so we don't expect the model to capture a perfect prediction here.)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 151,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "advanced_features = ['bedrooms', 'bathrooms', 'sqft_living', 'sqft_lot', 'floors', 'zipcode','condition', 'grade','waterfront','view','sqft_above','sqft_basement','yr_built','yr_renovated','lat','long','sqft_living15','sqft_lot15'] "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 152,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<pre>Linear regression:</pre>"
      ],
      "text/plain": [
       "Linear regression:"
      ]
     },
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    },
    {
     "data": {
      "text/html": [
       "<pre>--------------------------------------------------------</pre>"
      ],
      "text/plain": [
       "--------------------------------------------------------"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre>Number of examples          : 17384</pre>"
      ],
      "text/plain": [
       "Number of examples          : 17384"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre>Number of features          : 18</pre>"
      ],
      "text/plain": [
       "Number of features          : 18"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre>Number of unpacked features : 18</pre>"
      ],
      "text/plain": [
       "Number of unpacked features : 18"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre>Number of coefficients    : 127</pre>"
      ],
      "text/plain": [
       "Number of coefficients    : 127"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre>Starting Newton Method</pre>"
      ],
      "text/plain": [
       "Starting Newton Method"
      ]
     },
     "metadata": {},
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    },
    {
     "data": {
      "text/html": [
       "<pre>--------------------------------------------------------</pre>"
      ],
      "text/plain": [
       "--------------------------------------------------------"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre>+-----------+----------+--------------+--------------------+---------------+</pre>"
      ],
      "text/plain": [
       "+-----------+----------+--------------+--------------------+---------------+"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre>| Iteration | Passes   | Elapsed Time | Training-max_error | Training-rmse |</pre>"
      ],
      "text/plain": [
       "| Iteration | Passes   | Elapsed Time | Training-max_error | Training-rmse |"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre>+-----------+----------+--------------+--------------------+---------------+</pre>"
      ],
      "text/plain": [
       "+-----------+----------+--------------+--------------------+---------------+"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre>| 1         | 2        | 0.085182     | 3469012.450686     | 154580.940736 |</pre>"
      ],
      "text/plain": [
       "| 1         | 2        | 0.085182     | 3469012.450686     | 154580.940736 |"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre>+-----------+----------+--------------+--------------------+---------------+</pre>"
      ],
      "text/plain": [
       "+-----------+----------+--------------+--------------------+---------------+"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre>SUCCESS: Optimal solution found.</pre>"
      ],
      "text/plain": [
       "SUCCESS: Optimal solution found."
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre></pre>"
      ],
      "text/plain": []
     },
     "metadata": {},
     "output_type": "display_data"
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   ],
   "source": [
    "adv_features_model = graphlab.linear_regression.create(train_data,target='price',features=advanced_features,validation_set=None)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 153,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{'max_error': 3556849.413858208, 'rmse': 156831.1168021901}"
      ]
     },
     "execution_count": 153,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "adv_features_model.evaluate(test_data)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
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