Multi Linear Regression
Shivangi Desai
July 25, 2017
Problem Defination
The objective is to predict house price.
Data Location
The data for these sales comes from the official public records of home sales in the King County area, Washington State. The data sets contains 21613 rows. Each represents a home sold from May 2014 through May 2015. http://your.kingcounty.gov/assessor/eRealProperty/ResGlossaryOfTerms.html.
Data Description
Size:21613 obs. of 21 variables
Attributes: id - Unique ID for each home sold
date - Date of the home sale
price - Price of each home sold
bedrooms - Number of bedrooms
bathrooms - Number of bathrooms, where .5 accounts for a room with a toilet but no shower
sqft_living - Square footage of the apartments interior living space
sqft_lot - Square footage of the land space
floors - Number of floors
waterfront - A variable for whether the apartment was overlooking the waterfront or not
view - An index from 0 to 4 of how good the view of the property was
condition - An index from 1 to 5 on the condition of the apartment,
grade - An index from 1 to 13, where 1-3 falls short of building construction and design, 7 has an average level of construction and design, and 11-13 have a high quality level of construction and design.
sqft_above - The square footage of the interior housing space that is above ground level
sqft_basement - The square footage of the interior housing space that is below ground level
yr_built - The year the house was initially built
yr_renovated - The year of the house’s last renovation
zipcode - What zipcode area the house is in
lat - Lattitude
long - Longitude
sqft_living15 - The square footage of interior housing living space for the nearest 15 neighbors
sqft_lot15 - The square footage of the land lots of the nearest 15 neighbors
Setup
library(tidyr)## Warning: package 'tidyr' was built under R version 3.3.3library(dplyr)## Warning: package 'dplyr' was built under R version 3.3.3##
## Attaching package: 'dplyr'## The following objects are masked from 'package:stats':
##
## filter, lag## The following objects are masked from 'package:base':
##
## intersect, setdiff, setequal, unionlibrary(ggplot2)## Warning: package 'ggplot2' was built under R version 3.3.3#library(caret)
#library(plotROC)Functions
Dataset
dfrModel <- read.csv("./data/house-data.csv", header=T, stringsAsFactors=F)
head(dfrModel)## id date price bedrooms bathrooms sqft_living
## 1 7129300520 20141013T000000 221900 3 1.00 1180
## 2 6414100192 20141209T000000 538000 3 2.25 2570
## 3 5631500400 20150225T000000 180000 2 1.00 770
## 4 2487200875 20141209T000000 604000 4 3.00 1960
## 5 1954400510 20150218T000000 510000 3 2.00 1680
## 6 7237550310 20140512T000000 1225000 4 4.50 5420
## sqft_lot floors waterfront view condition grade sqft_above sqft_basement
## 1 5650 1 0 0 3 7 1180 0
## 2 7242 2 0 0 3 7 2170 400
## 3 10000 1 0 0 3 6 770 0
## 4 5000 1 0 0 5 7 1050 910
## 5 8080 1 0 0 3 8 1680 0
## 6 101930 1 0 0 3 11 3890 1530
## yr_built yr_renovated zipcode lat long sqft_living15 sqft_lot15
## 1 1955 0 98178 47.5112 -122.257 1340 5650
## 2 1951 1991 98125 47.7210 -122.319 1690 7639
## 3 1933 0 98028 47.7379 -122.233 2720 8062
## 4 1965 0 98136 47.5208 -122.393 1360 5000
## 5 1987 0 98074 47.6168 -122.045 1800 7503
## 6 2001 0 98053 47.6561 -122.005 4760 101930{r drop_cols, echo=TRUE} #dfrModel$date<- gsub('T000000', '', dfrModel$date #
dfrModel <- select(dfrModel, -c(lat,long,date,id))
head(dfrModel)## price bedrooms bathrooms sqft_living sqft_lot floors waterfront view
## 1 221900 3 1.00 1180 5650 1 0 0
## 2 538000 3 2.25 2570 7242 2 0 0
## 3 180000 2 1.00 770 10000 1 0 0
## 4 604000 4 3.00 1960 5000 1 0 0
## 5 510000 3 2.00 1680 8080 1 0 0
## 6 1225000 4 4.50 5420 101930 1 0 0
## condition grade sqft_above sqft_basement yr_built yr_renovated zipcode
## 1 3 7 1180 0 1955 0 98178
## 2 3 7 2170 400 1951 1991 98125
## 3 3 6 770 0 1933 0 98028
## 4 5 7 1050 910 1965 0 98136
## 5 3 8 1680 0 1987 0 98074
## 6 3 11 3890 1530 2001 0 98053
## sqft_living15 sqft_lot15
## 1 1340 5650
## 2 1690 7639
## 3 2720 8062
## 4 1360 5000
## 5 1800 7503
## 6 4760 101930Summary
#summary(dfrModel)
lapply(dfrModel, FUN=summary)## $price
## Min. 1st Qu. Median Mean 3rd Qu. Max.
## 75000 322000 450000 540100 645000 7700000
##
## $bedrooms
## Min. 1st Qu. Median Mean 3rd Qu. Max.
## 0.000 3.000 3.000 3.371 4.000 33.000
##
## $bathrooms
## Min. 1st Qu. Median Mean 3rd Qu. Max.
## 0.000 1.750 2.250 2.115 2.500 8.000
##
## $sqft_living
## Min. 1st Qu. Median Mean 3rd Qu. Max.
## 290 1427 1910 2080 2550 13540
##
## $sqft_lot
## Min. 1st Qu. Median Mean 3rd Qu. Max.
## 520 5040 7618 15110 10690 1651000
##
## $floors
## Min. 1st Qu. Median Mean 3rd Qu. Max.
## 1.000 1.000 1.500 1.494 2.000 3.500
##
## $waterfront
## Min. 1st Qu. Median Mean 3rd Qu. Max.
## 0.000000 0.000000 0.000000 0.007542 0.000000 1.000000
##
## $view
## Min. 1st Qu. Median Mean 3rd Qu. Max.
## 0.0000 0.0000 0.0000 0.2343 0.0000 4.0000
##
## $condition
## Min. 1st Qu. Median Mean 3rd Qu. Max.
## 1.000 3.000 3.000 3.409 4.000 5.000
##
## $grade
## Min. 1st Qu. Median Mean 3rd Qu. Max.
## 1.000 7.000 7.000 7.657 8.000 13.000
##
## $sqft_above
## Min. 1st Qu. Median Mean 3rd Qu. Max.
## 290 1190 1560 1788 2210 9410
##
## $sqft_basement
## Min. 1st Qu. Median Mean 3rd Qu. Max.
## 0.0 0.0 0.0 291.5 560.0 4820.0
##
## $yr_built
## Min. 1st Qu. Median Mean 3rd Qu. Max.
## 1900 1951 1975 1971 1997 2015
##
## $yr_renovated
## Min. 1st Qu. Median Mean 3rd Qu. Max.
## 0.0 0.0 0.0 84.4 0.0 2015.0
##
## $zipcode
## Min. 1st Qu. Median Mean 3rd Qu. Max.
## 98000 98030 98060 98080 98120 98200
##
## $sqft_living15
## Min. 1st Qu. Median Mean 3rd Qu. Max.
## 399 1490 1840 1987 2360 6210
##
## $sqft_lot15
## Min. 1st Qu. Median Mean 3rd Qu. Max.
## 651 5100 7620 12770 10080 871200##returns a list=lapply#detect_outliers(dfrModel$floors)
#detect_outliers(dfrModel$grade)
#detect_outliers(dfrModel$condition)
lapply(dfrModel, FUN=detect_outliers)## $price
## [1] 1225000 2000000 1350000 1325000 1450000 2250000 1505000 2400000
## [9] 2900000 1365000 2050000 3075000 2384000 1384000 1400000 1350000
## [17] 1550000 1300000 1450000 1199000 1150000 1385000 1280000 1197354
## [25] 1485000 2250000 1600000 2125000 1450000 1950000 1220000 3070000
## [33] 1250000 1145000 1484900 1578000 1300000 1310000 2250000 1355000
## [41] 1216000 2400000 1270000 1200000 1321500 2450000 1242500 1570000
## [49] 1200000 1278000 1955000 1750000 5110800 1150000 1875000 1225000
## [57] 2300000 2260000 5300000 1200000 2200000 1131000 1175000 1700000
## [65] 1400000 2537000 1355000 1229000 5350000 1328000 1218000 1250000
## [73] 1300000 1175000 1375000 1150000 1198000 2250000 1230000 1265000
## [81] 1679000 1928000 1175000 2350000 1135000 1315000 1430000 1525000
## [89] 1569500 1575000 1249000 1715000 2400000 1600000 1480000 2532000
## [97] 1568000 1200000 1250000 3850000 1195000 1635000 1325000 1735000
## [105] 1700000 1650000 1550000 1680000 1760000 1339000 2750000 1185000
## [113] 1400000 1810000 1365000 1187500 1544500 1600000 3278000 1600000
## [121] 1220000 1700000 1280000 1865000 1215000 1245000 1600000 1619999
## [129] 1650000 1237500 1165000 1599950 4500000 1272000 1380000 1150000
## [137] 1505000 1610000 1289000 1385000 1324050 1400000 1835000 3600000
## [145] 1250000 3000000 1195000 2950000 1325000 2525000 1799000 2298000
## [153] 2288000 1500000 1130000 1320000 1265000 1506000 1899000 1400000
## [161] 1135000 1901000 1208000 1900000 1306000 1965000 1675000 2075000
## [169] 2544750 1570000 1280600 1234568 1290000 1230000 1165000 1225000
## [177] 1250000 2095000 1575000 1598888 1288000 1440000 1350000 1240000
## [185] 2453500 2450000 1905000 1740000 1650000 2890000 1575000 2200000
## [193] 1325000 2950000 1225000 1415000 7062500 1208000 1495000 1300000
## [201] 1379900 1145000 1495000 2400000 1385000 1350000 2500000 2150000
## [209] 1210000 4000000 1191000 1600000 2880500 1285000 1875000 1570000
## [217] 1300000 2400000 1275000 1155000 1190000 1400000 2125000 1135000
## [225] 1150000 1150000 2050000 1705000 5570000 1150000 1338750 1670000
## [233] 1250000 2000000 1236000 1442500 1260000 1200000 1206505 1130000
## [241] 1160000 1405000 2485000 1345000 1130000 1195000 1490000 1465000
## [249] 1850000 2479000 2048000 1151250 1895000 1939999 1400000 1575000
## [257] 1165000 1200000 1385000 1295000 1525000 1150000 1309500 1297000
## [265] 1500000 1160000 1315000 1155000 1600000 1740000 1250000 2850000
## [273] 1780000 1215000 1150000 1880000 1691000 2400000 1600000 1200000
## [281] 1157400 1419000 1470000 2466350 1517000 1620500 1850000 1150000
## [289] 1500000 1460000 1697000 1795000 1525000 1727000 3418800 1200000
## [297] 1195000 1476000 1564350 2725000 1325000 2385000 2196000 1280000
## [305] 1150000 1240000 1445000 2400000 1695000 2200000 1202500 1450000
## [313] 1965221 1450000 1436000 1580000 2903000 1289000 1153000 1339000
## [321] 1925000 1940000 3650000 1240000 1339000 1350000 1337500 1349000
## [329] 1250000 1515000 1998000 2650000 1875000 1185000 1335000 2700000
## [337] 1255000 2250000 1900000 1430000 1437500 1555000 1370000 1488000
## [345] 1395000 1580000 1155000 1210000 1295648 2175000 1387000 3800000
## [353] 1500000 1650000 1735000 1430000 1255000 3200000 1300000 1490000
## [361] 1400000 7700000 1615000 1450000 1200000 1160000 2500000 3100000
## [369] 1245000 1535000 1525000 1150000 1775000 1184000 1600000 1975000
## [377] 1393000 1248000 2575000 1600000 1310000 1300000 1170000 1605000
## [385] 1398000 2500000 1320000 1485000 1700000 1146800 1445000 2538000
## [393] 1270000 1465000 2150000 1250000 1150000 1450000 1646000 1212500
## [401] 1200000 1150000 1900000 3200000 1824100 2900000 1290000 3400000
## [409] 1325000 1440000 1195000 1851000 1250000 1475000 4668000 1511250
## [417] 1250000 1865000 1452000 1625000 2450000 2193000 1320000 1218000
## [425] 1655000 1300000 1250000 1295000 2140000 1247000 1285000 1200000
## [433] 1240000 1208000 1590000 1150000 4489000 1438888 1485000 1200000
## [441] 1175000 1200000 1800000 1250000 1370000 1406888 1530000 1325000
## [449] 1910000 1348000 1205000 1325000 1360000 1400000 1234000 1955000
## [457] 1265000 1500000 1190000 1680000 6885000 1680000 2575000 1362500
## [465] 1335000 1565000 1925000 1249000 1698000 2375000 1275000 1350000
## [473] 1160000 1300000 1795000 1540000 1780000 1157200 1755000 1565000
## [481] 1482500 1395713 1175000 1695000 1140000 1388000 1220000 1250000
## [489] 1648000 1175000 1730000 1140000 1738000 1315000 1200000 1275000
## [497] 1150000 1250000 1695000 1227500 1900000 1326000 1365000 1400000
## [505] 1355000 2700000 1245000 1300000 1197000 2983000 1228000 1399000
## [513] 1375000 1200000 3400000 1145000 3120000 2000000 1350000 1500000
## [521] 1225000 1700000 1565000 1700000 1165000 1150000 1325000 1135000
## [529] 1308000 1688000 1575000 1250000 1769000 1582500 1610000 1650000
## [537] 1250000 1557600 1565000 1378600 1130000 1225000 1662000 1295000
## [545] 1820000 1175000 1381000 1234582 1450000 2555000 1400000 1699000
## [553] 3000000 1600000 1400000 2100000 1800000 1168000 1164000 1170000
## [561] 1705000 2300000 1295000 2750000 1655000 1180000 1325000 1209000
## [569] 3200000 1450000 1750000 1142000 1185000 1200000 1300000 2795000
## [577] 1250000 1730000 1420000 1135000 1545000 1400000 1370000 1280000
## [585] 1580000 2200000 1250000 1236300 1850000 1280000 1785000 1600000
## [593] 1620000 1475000 1950000 1400000 1620000 1288000 1443917 1130000
## [601] 1210000 1150000 2575000 3000000 1400000 1300000 1500000 1260000
## [609] 1195000 1595000 1430000 2135000 1665000 1300000 1190000 1450000
## [617] 1462497 1305000 1199500 1959000 1650000 1712750 1186039 1340000
## [625] 1650000 1550000 4208000 1289000 1169000 1900000 1890000 1960000
## [633] 1300000 2000000 2535000 1850000 1272500 1295000 1350000 2408000
## [641] 1149000 2280000 1313000 1749000 1300000 3100000 1610000 1250000
## [649] 1135000 2300000 1698888 2250000 1260000 1135000 1180000 1250000
## [657] 1250000 1610000 1700000 1651000 2546000 1275000 1800000 2000000
## [665] 1999000 1688000 1148000 1580000 1822500 2415000 1140000 1550000
## [673] 1169000 1272000 1170000 1328000 1650000 3168750 1775000 1475000
## [681] 1240000 1275000 1762000 1640000 1900000 2340000 2600000 1160000
## [689] 1325000 1712500 1350000 1810000 1795000 1150000 1886700 1160000
## [697] 3395000 1815000 1225000 1400000 2885000 1680000 2750000 3300000
## [705] 1500000 2110000 2225000 1340000 1285000 2200000 1625000 1950000
## [713] 1225000 1500000 1690000 1800000 1580000 2200000 1500000 2400000
## [721] 1225000 1260500 1989000 2888000 2230000 1442500 1378000 1475000
## [729] 1295000 1465000 1160000 1195000 1612500 1260000 1180000 1900000
## [737] 2600000 1520000 1340000 1375000 1500000 1480000 1425000 1640000
## [745] 2450000 1295000 2000000 1535000 1580000 1210000 1600000 1225000
## [753] 1770000 2152500 1950000 1755000 2200000 1900000 1300000 1150000
## [761] 1395000 1150000 1398000 2300000 3640900 3065000 1675000 1330000
## [769] 1305000 1468000 1220000 1950000 1650000 1311000 1220000 3200000
## [777] 1800000 1190000 2300000 1825000 1681000 2271150 1715000 1680000
## [785] 1850000 1637500 1160000 1675000 1690000 1256500 1295000 1187500
## [793] 2480000 1300000 1160000 1335000 1520000 1600000 1565000 1425000
## [801] 1180000 1636000 1190000 1346400 1190000 1280000 1400000 1365000
## [809] 1250000 1220000 1385000 1200000 1425000 1550000 1925000 1320000
## [817] 1300000 1309500 1815000 1285000 1490000 1200000 1950000 1400000
## [825] 2328000 1250000 1620000 1307000 1600000 3710000 1350000 1500000
## [833] 1185000 1387000 1200000 1200000 1660000 1538000 1750000 1220000
## [841] 1875000 1180500 1400000 1980000 1185000 1260000 1810000 1350000
## [849] 1298000 1310000 2195000 1200688 1150000 2140000 1150000 1355000
## [857] 1185000 1348000 1920000 1650000 2574000 2500000 1395000 1300000
## [865] 1400000 1200000 1388000 2300000 1225000 3100000 2187730 1475000
## [873] 1776000 1298000 2500000 1185001 1200000 1380000 1450000 1880000
## [881] 1970000 1457000 1454000 1288000 2250000 1350000 1205000 1735000
## [889] 1629000 2225000 1200000 1425000 1802750 1388000 1870000 1562000
## [897] 1215000 1200000 2510000 1350000 1650000 1284000 1550000 2005000
## [905] 1364000 1325000 1320000 2050000 1210000 1650000 1375000 2458000
## [913] 1595000 1190000 1350000 1320000 1205000 2027000 1990000 1321625
## [921] 1444000 1250000 1735000 1695000 1680000 1702500 3300000 1385000
## [929] 1855000 2367000 1211000 2475000 1387800 1355000 1862000 3300000
## [937] 1230000 1265000 2920000 1140000 1500000 1230000 2630000 1250000
## [945] 1415000 1728000 2700000 3300000 3650000 1650000 1137500 1450000
## [953] 2950000 1135250 1315000 1156000 1600000 1325000 1388000 1150000
## [961] 1160000 1165000 1225000 2147500 1268888 1700000 2680000 1675000
## [969] 1389000 1298888 1945000 1500000 2180000 1410000 1920000 1400000
## [977] 1190000 1150000 1161000 1240000 1411600 1505000 3800000 1225000
## [985] 1415000 3635000 1185000 2000000 1150000 2720000 1225000 1550000
## [993] 1800000 1518634 1430800 2160000 1550000 1950000 1400000 1450000
## [1001] 1900000 1500000 1225000 1388000 2395000 1980000 1280000 1356925
## [1009] 1360000 1410000 1200000 1150000 1264000 1450000 1850000 2205000
## [1017] 1450000 1375000 1680000 2250000 1205000 1583000 2641100 1532500
## [1025] 2320000 1255784 1710000 2700000 1330000 1260000 1262000 1595000
## [1033] 1563100 1695000 1266525 1180000 1210000 1898000 1465000 1400000
## [1041] 2700000 1280000 1238000 1750000 2250000 1237500 1575000 1481000
## [1049] 2945000 1750000 1350000 1312000 1789950 2150000 1333000 2225000
## [1057] 1300000 1302000 1206688 3204000 1240000 3000000 2350000 1360000
## [1065] 1598000 1205000 1385000 1800000 1205000 1285000 1138990 2998000
## [1073] 1600000 1267500 3345000 1800000 1289990 1699990 1500000 1898000
## [1081] 2950000 1240415 1299888 1180000 1200000 1510000 2321000 1480000
## [1089] 1130000 1135000 2300000 1325000 1250000 1485000 1600000 1900000
## [1097] 1750000 1275000 1258000 1275000 1940000 1830000 1175000 1149000
## [1105] 1550000 1300000 1242000 1270000 2900000 1274950 1139990 1880000
## [1113] 1800000 1399950 1839900 2230000 1240000 2351956 1698000 1350000
## [1121] 1500000 1999950 1488000 2065000 1174660 1765000 1987500 1750000
## [1129] 1720000 1459000 1150000 1555000 2238888 1865000 1408762 1378000
## [1137] 1450000 3000000 1325000 1881583 1375000 1700000 3567000 1222500
## [1145] 1575000 1537000
##
## $bedrooms
## [1] 1 6 6 6 1 6 1 1 6 6 7 6 1 6 6 6 6 1 0 1 1 7 1
## [24] 6 6 6 6 7 6 6 6 1 1 6 1 6 6 6 6 6 1 1 8 6 6 6
## [47] 1 6 6 6 1 1 1 6 1 1 1 6 6 1 6 6 6 6 6 6 6 6 6
## [70] 6 6 6 6 6 1 6 6 6 6 6 1 1 1 1 6 1 0 6 1 6 1 1
## [93] 1 6 1 0 1 6 6 6 1 1 6 6 1 6 7 6 6 6 1 1 1 6 6
## [116] 1 1 7 8 8 1 9 6 1 6 9 6 6 6 1 1 1 6 6 6 1 6 6
## [139] 6 7 7 1 7 0 1 6 1 6 6 6 1 6 6 1 6 6 6 6 6 6 1
## [162] 1 1 1 1 6 6 9 1 1 1 6 8 6 6 6 6 1 6 6 6 1 1 6
## [185] 6 0 1 7 6 6 6 7 6 1 6 6 1 6 1 1 6 6 6 6 6 1 1
## [208] 6 6 6 6 1 1 1 6 7 1 6 1 6 1 6 1 6 6 6 1 0 0 7
## [231] 1 1 9 1 1 1 7 6 6 1 11 1 1 6 1 6 1 6 8 6 6 6 1
## [254] 7 6 1 6 6 1 6 6 1 8 1 6 1 1 1 6 6 6 7 6 6 7 0
## [277] 6 6 6 1 1 6 0 1 6 6 1 1 6 6 1 6 7 1 1 1 6 6 7
## [300] 1 8 6 6 6 6 6 6 6 1 6 1 1 6 1 1 6 1 6 6 1 1 6
## [323] 6 1 6 6 6 1 6 7 1 6 1 1 1 6 1 6 6 6 1 1 6 1 1
## [346] 1 7 7 0 7 1 7 1 6 1 1 1 6 8 6 1 6 7 6 10 1 6 6
## [369] 6 6 1 1 6 1 6 1 6 6 6 7 1 6 1 7 6 6 1 1 1 1 1
## [392] 6 0 1 1 6 6 6 6 1 6 7 6 7 6 8 6 6 10 1 6 7 1 6
## [415] 1 6 6 7 6 6 8 6 7 6 1 6 1 33 6 6 6 6 7 6 1 1 6
## [438] 1 6 6 1 6 7 6 1 1 9 1 6 1 6 6 6 8 1 7 6 1 1 6
## [461] 6 1 6 1 1 6 6 1 6 1 6 1 1 6 1 1 1 6 6 1 6 1 0
## [484] 6 9 7 8 1 1 1 6 6 6 1 7 1 6 6 1 1 6 7 6 6 6 1
## [507] 6 1 10 6 1 8 7 1 6 0 6 1 6 6 6 6 6 1 1 6 6 6 6
## [530] 6 6 1 6 6 1 6 6 1 1 1 1 6 1 1 6 1
##
## $bathrooms
## [1] 4.50 4.00 4.00 4.75 5.00 4.25 4.50 4.25 3.75 5.00 4.00 4.00 4.25 4.25
## [15] 0.00 4.25 4.50 4.50 3.75 4.50 4.00 0.00 4.50 5.25 4.00 3.75 4.50 4.50
## [29] 4.25 6.00 3.75 4.25 4.00 3.75 3.75 4.75 5.00 3.75 3.75 3.75 5.00 4.25
## [43] 3.75 4.00 4.25 4.50 3.75 4.00 3.75 5.00 3.75 4.00 3.75 3.75 4.25 4.00
## [57] 4.25 4.25 4.50 3.75 4.00 3.75 5.00 3.75 0.50 4.00 5.00 5.00 4.50 5.50
## [71] 4.25 4.00 4.50 3.75 3.75 4.50 3.75 5.50 4.25 5.50 0.00 5.25 4.25 4.00
## [85] 4.50 3.75 3.75 3.75 3.75 4.25 4.50 4.75 3.75 3.75 3.75 3.75 3.75 4.50
## [99] 4.25 4.00 4.75 4.75 3.75 4.50 4.00 3.75 3.75 4.00 4.00 3.75 4.75 4.50
## [113] 3.75 6.75 6.00 4.50 5.50 4.50 3.75 4.00 4.25 3.75 5.75 3.75 4.00 4.00
## [127] 4.00 5.25 4.75 4.00 4.25 3.75 4.00 4.00 5.25 3.75 3.75 3.75 4.50 5.00
## [141] 3.75 3.75 4.50 4.00 3.75 3.75 4.00 4.75 3.75 0.00 4.25 5.00 3.75 4.00
## [155] 4.25 4.00 4.00 4.50 4.75 4.00 4.00 4.00 4.50 3.75 3.75 4.50 5.75 4.75
## [169] 3.75 4.00 4.00 3.75 4.25 4.25 3.75 0.00 4.50 5.50 4.00 4.50 4.50 4.00
## [183] 4.50 4.25 8.00 3.75 4.25 4.00 3.75 4.50 3.75 4.50 4.50 4.50 4.00 4.25
## [197] 5.00 4.50 4.25 4.50 6.75 4.00 3.75 4.50 4.25 3.75 4.50 3.75 3.75 4.00
## [211] 7.50 4.00 4.00 4.00 4.25 3.75 4.50 3.75 4.25 4.25 4.50 4.50 4.25 7.75
## [225] 4.25 4.75 4.00 4.00 4.25 4.00 4.00 4.50 4.25 4.00 4.50 4.25 4.00 4.25
## [239] 3.75 4.00 4.00 4.00 4.00 0.00 4.50 3.75 0.00 4.25 4.00 3.75 5.00 3.75
## [253] 4.25 3.75 4.00 4.00 3.75 5.50 0.50 4.00 3.75 0.00 4.25 3.75 3.75 4.50
## [267] 4.00 4.00 4.25 4.00 4.50 4.50 4.50 3.75 4.25 3.75 4.50 3.75 4.25 4.00
## [281] 4.50 0.50 3.75 4.25 4.50 4.50 4.25 4.00 4.00 3.75 4.50 4.50 3.75 0.50
## [295] 4.25 3.75 3.75 4.00 4.75 4.50 4.50 4.00 3.75 4.00 6.00 3.75 4.00 4.25
## [309] 4.00 3.75 4.25 4.00 4.50 3.75 4.00 3.75 4.50 8.00 4.25 3.75 4.00 4.50
## [323] 4.25 5.00 5.25 3.75 4.50 4.00 4.75 4.00 4.50 3.75 4.00 5.50 3.75 4.75
## [337] 4.00 4.00 3.75 3.75 4.25 4.50 4.25 0.00 4.50 6.25 3.75 4.00 4.00 3.75
## [351] 3.75 3.75 4.50 5.00 4.00 4.50 4.00 4.25 4.50 3.75 4.00 3.75 4.50 4.75
## [365] 4.75 4.00 4.00 3.75 3.75 3.75 3.75 4.75 3.75 3.75 5.25 3.75 5.75 4.50
## [379] 5.00 4.50 5.00 3.75 3.75 4.50 3.75 4.25 4.25 4.00 3.75 4.00 4.25 5.00
## [393] 3.75 4.00 4.00 4.00 5.75 5.25 3.75 3.75 4.50 4.00 4.00 5.25 4.50 4.00
## [407] 3.75 4.25 4.00 4.25 4.50 4.00 4.25 4.00 4.25 4.50 3.75 4.25 4.00 4.50
## [421] 4.00 4.50 3.75 5.25 4.00 3.75 3.75 4.00 3.75 4.50 4.50 3.75 5.25 6.25
## [435] 4.00 4.75 4.75 5.00 5.25 4.50 4.00 3.75 4.00 4.00 4.50 3.75 4.00 3.75
## [449] 5.50 4.25 4.00 4.25 3.75 6.00 4.25 3.75 4.25 4.25 4.50 0.00 4.50 4.00
## [463] 4.00 3.75 5.00 3.75 3.75 3.75 4.25 3.75 4.00 3.75 4.50 4.00 4.00 4.25
## [477] 4.25 4.50 4.00 4.50 3.75 4.00 4.50 4.00 4.50 4.00 4.25 4.75 3.75 4.75
## [491] 4.00 4.00 3.75 4.50 5.25 4.50 4.50 3.75 3.75 3.75 4.00 3.75 3.75 5.50
## [505] 4.50 4.25 4.50 4.50 4.25 4.00 4.00 4.00 4.25 3.75 4.25 4.25 3.75 3.75
## [519] 4.00 5.50 3.75 4.00 3.75 3.75 4.50 4.50 4.25 4.00 6.50 4.50 3.75 3.75
## [533] 4.00 4.75 3.75 3.75 4.00 4.00 3.75 5.25 4.25 4.50 5.00 4.00 4.00 6.00
## [547] 5.00 4.00 4.00 4.50 3.75 4.75 4.25 6.00 3.75 3.75 3.75 4.00 4.00 4.50
## [561] 4.25 6.50 3.75 4.00 3.75 4.00 4.50 4.00 4.50 3.75 3.75
##
## $sqft_living
## [1] 5420 4770 4380 5180 4410 5050 5310 4550 4290 4290 4800
## [12] 6070 4870 4860 4860 4410 4760 6050 4740 5403 4380 4640
## [23] 6050 4370 4570 4670 4860 4270 4890 4390 4250 5670 4475
## [34] 6070 4300 4390 8010 4460 4610 4380 4250 4930 7390 4640
## [45] 5320 8000 6563 4740 5450 4440 4830 4280 4570 4370 5710
## [56] 5620 5774 4470 4490 5040 5770 5180 6400 4490 6055 4250
## [67] 6300 4350 4460 4340 4250 5110 4700 4910 4750 6840 4930
## [78] 5180 5130 6640 5740 7350 4510 4300 4870 5020 4740 5370
## [89] 4860 6930 6550 6110 4883 5010 4660 4600 4910 5410 4270
## [100] 4520 5340 5230 5370 4730 4430 5780 6240 10040 4250 5360
## [111] 4610 7480 5620 4340 7080 5760 4400 4280 9200 4320 4420
## [122] 4380 4580 5310 4660 4300 4240 5180 6810 4690 5830 4930
## [133] 5700 5990 5070 4750 4270 4750 5040 4890 4350 4280 6390
## [144] 4570 4350 4410 4430 4720 5450 4470 6410 6330 4250 4290
## [155] 5860 5990 4260 4360 4370 4440 4970 4940 7220 5480 4740
## [166] 4386 5440 4500 4700 4410 4240 4470 4650 5180 5400 4810
## [177] 4750 4490 7050 4370 4870 6210 4270 12050 4250 4360 4260
## [188] 5480 4530 5850 4280 4800 4240 4380 4320 5250 4330 4350
## [199] 5330 4560 4560 4540 7100 4580 5230 9640 4460 4410 5030
## [210] 5660 4330 5067 5270 5150 4380 4460 6430 4430 4610 4250
## [221] 4460 4420 5720 4500 4300 4530 5584 9890 5770 5540 5050
## [232] 5220 4340 4830 4850 5844 5530 4480 5270 5860 5545 4610
## [243] 4700 4440 5960 4420 5000 6510 4610 5050 4600 7400 5730
## [254] 4260 4490 5370 4350 4320 4720 5000 5440 6085 4250 5461
## [265] 4400 4470 6640 4620 5300 4380 4500 4850 4400 4290 4330
## [276] 4560 5000 4590 5000 6900 4570 5840 4980 4560 4340 5490
## [287] 4320 7420 4850 4310 4690 4780 4590 4370 5100 6200 4500
## [298] 4360 5280 7440 4610 4285 4430 4690 4450 4440 4600 13540
## [309] 6980 4270 4590 4300 4340 4390 5850 4460 4260 4590 6380
## [320] 4550 7880 4440 4330 4320 4470 4790 4500 5270 5370 4340
## [331] 5190 4290 4730 5350 7620 4430 6200 4410 5840 4320 5550
## [342] 5290 5290 5020 5480 8670 4480 4770 4930 4320 4420 5470
## [353] 5160 4570 4600 4370 4260 4780 4670 5770 4300 4980 4280
## [364] 6040 5310 4830 4790 5010 7000 4320 5600 6030 4830 4400
## [375] 5170 4670 4660 4680 4400 4560 4590 5310 5930 4240 4630
## [386] 4310 4720 4510 4560 4420 4510 5550 4390 4430 4240 5860
## [397] 5810 4700 4500 4250 5210 5110 5960 4640 7730 4285 4475
## [408] 4300 4620 4740 4610 5610 4270 4280 5090 4240 4270 4440
## [419] 5150 4310 4960 4510 4560 5480 5040 5120 4410 5550 6500
## [430] 4920 4480 4860 5190 4560 4820 5570 4340 4960 5240 8020
## [441] 4390 4575 5470 5540 5820 4670 4420 4290 7710 5020 4280
## [452] 7320 4270 4660 4410 4290 4690 4710 6630 5510 4720 5490
## [463] 4370 6490 4460 5300 4260 4440 4460 5080 4520 4360 4660
## [474] 4910 4270 5430 4600 4890 4310 4630 5610 4660 4270 5050
## [485] 5330 4590 4800 7850 4280 4420 4490 4645 4570 4700 5305
## [496] 4320 4670 4650 5120 5220 4340 4360 5060 4700 4920 4810
## [507] 5635 4410 4410 5550 4270 4420 4690 4280 6670 6530 4640
## [518] 5350 6370 4360 4470 5790 6260 4600 4390 5780 4700 4410
## [529] 4490 4750 4360 5790 6160 4360 4490 5370 4500 5940 4700
## [540] 4450 5520 4495 4240 5190 7120 4390 4490 4370 5430 5010
## [551] 4680 5640 6880 4350 4460 4310 5230 4590 4620 4360 7270
## [562] 4920 5150 4300 5090 4420 4410 4350 4500 4850 4910 4470
##
## $sqft_lot
## [1] 101930 19901 44867 34848 24186 65005 21235 20158
## [9] 50094 50529 35102 39683 41800 36847 107593 33919
## [17] 28037 111078 315374 60984 19850 25245 38332 21000
## [25] 35003 66211 155073 33474 19436 28040 94300 221284
## [33] 36224 40510 20100 57346 26300 49375 22111 78408
## [41] 64904 45004 43995 20000 32633 19800 77972 29970
## [49] 40438 69415 209959 26977 25600 22357 40139 143947
## [57] 32239 37461 174240 171626 27260 19700 219978 24920
## [65] 20978 28025 181319 19635 57063 39150 194278 230652
## [73] 36947 76230 24069 40518 29242 29170 108900 217014
## [81] 22370 75794 84942 217800 32666 31465 34293 26326
## [89] 36400 55867 22267 209523 19252 23488 25958 26055
## [97] 39478 51836 37769 72745 22594 218252 31400 23680
## [105] 40419 34133 36276 40097 36085 57381 24931 25600
## [113] 30736 35287 23899 213444 25341 28243 50308 262018
## [121] 35026 22410 47916 23568 43101 24759 20917 217800
## [129] 44431 47045 21810 54160 242629 114562 35021 84267
## [137] 57000 41900 28300 21357 35679 32175 27007 43377
## [145] 40319 45517 103382 40259 101930 40202 27951 27631
## [153] 23625 81892 81549 102366 37981 47044 21780 99752
## [161] 28717 25714 24829 31238 220308 133729 79714 100545
## [169] 22703 122038 35040 20041 21650 41346 73600 80837
## [177] 20000 35000 21399 37034 23985 21937 20412 35015
## [185] 27311 35040 40635 28563 41263 32670 21312 45302
## [193] 47044 35000 49091 24773 46748 74052 43733 37058
## [201] 206910 29078 35722 142803 204732 35298 38639 131115
## [209] 28405 46580 36036 360241 56628 1651359 51836 36900
## [217] 20296 53898 33981 53392 134489 33460 22863 306848
## [225] 41656 156988 24663 183823 36831 206480 27589 26989
## [233] 19680 19680 42436 52953 37000 28052 26337 31675
## [241] 51763 23200 33920 21780 24825 96574 26487 33132
## [249] 40946 52256 85813 87120 35679 20100 40098 35020
## [257] 26000 150117 97138 57050 24700 46609 21300 19606
## [265] 36246 26784 40946 70567 74495 76665 22334 43645
## [273] 20805 22500 57063 69834 34982 37533 46609 21514
## [281] 21630 26460 45738 19387 20873 216777 41600 37169
## [289] 51177 23085 58712 21486 20685 217800 105587 35636
## [297] 44431 99916 19602 38412 81892 24000 248600 64073
## [305] 42077 51836 29982 35000 43560 37801 216332 219978
## [313] 53250 39639 223377 49936 43821 35868 57587 33630
## [321] 189486 30886 30605 43123 40014 41072 40341 37522
## [329] 65340 20946 36583 45963 25002 389126 155130 36445
## [337] 32214 50965 21344 50405 174240 39190 43575 57499
## [345] 108464 37363 423838 126759 43995 175982 19998 19200
## [353] 24755 60467 20000 40608 35752 54014 42580 57499
## [361] 403365 505166 19600 23885 46609 20000 41167 218235
## [369] 45100 40705 39098 211576 45133 47480 22482 21043
## [377] 217374 21929 30869 241322 59058 36171 32044 73616
## [385] 20868 36704 48993 38009 26040 19550 89298 49222
## [393] 35996 40278 38509 67369 50094 27591 21794 32660
## [401] 57514 37616 88426 42316 38125 27586 20377 115434
## [409] 35001 43386 105415 27072 24829 199940 43088 20000
## [417] 67953 20000 21262 41275 290980 77972 235224 22489
## [425] 42733 157875 212137 206910 35235 46902 273556 20150
## [433] 349351 35225 41339 217800 54557 28005 33278 27540
## [441] 31838 48693 26500 68479 22000 29163 34513 208652
## [449] 45738 89298 23000 84506 104544 24800 47916 21587
## [457] 33080 27427 20280 32700 264844 212639 20130 94960
## [465] 223462 138085 42253 37431 118918 42200 327135 93218
## [473] 23994 42399 47480 130680 95396 38016 37325 19700
## [481] 206474 35016 38038 55321 982998 25800 20242 35091
## [489] 111513 25700 37800 98881 38644 22651 49137 115434
## [497] 41664 59677 42000 22100 54450 28750 237402 20531
## [505] 21907 21100 40910 189852 387684 38912 22100 57063
## [513] 20870 19600 22000 32033 60840 38500 29111 62310
## [521] 50529 60548 99170 42180 35315 80471 207346 20734
## [529] 44866 32450 24691 196020 52272 22000 217800 21336
## [537] 39848 19513 88327 75889 189486 78225 435600 59677
## [545] 268329 262666 27702 35069 35991 30476 81021 49658
## [553] 368517 22072 38869 40816 100835 982278 35236 42769
## [561] 50479 87497 44431 24684 106722 46173 34870 60548
## [569] 37373 108900 843309 177657 228254 35691 31798 39640
## [577] 28516 197326 216493 19850 43995 33750 63118 23954
## [585] 130244 63991 44093 75132 22703 32670 117612 45738
## [593] 56628 36183 35261 48787 31510 20524 39370 47250
## [601] 94525 25175 78408 37904 35621 19501 110579 36384
## [609] 35880 224334 78408 20700 20700 35273 88909 72309
## [617] 20023 22860 217800 38985 118047 41250 43647 85377
## [625] 131116 34335 36254 20446 19850 36817 77536 74390
## [633] 20000 35782 108900 111078 60123 434728 214315 81893
## [641] 33747 94525 28185 40575 150282 20018 40106 25697
## [649] 54450 33801 19991 392475 26359 43847 35012 55387
## [657] 150270 43560 27007 62365 35062 43017 118483 87213
## [665] 32780 23400 213879 30007 20466 108900 89298 40946
## [673] 29163 67518 54048 23522 43560 100681 53574 98881
## [681] 50094 22081 19978 105850 40003 41325 51836 19709
## [689] 21780 35536 62726 23781 20588 20720 35000 21890
## [697] 112750 43710 110642 19821 41041 28014 19593 42733
## [705] 24500 100623 188760 218472 204296 52272 34290 31850
## [713] 25211 159865 29224 111514 86636 36218 34680 22651
## [721] 292288 74358 24501 25150 132858 21000 217800 48257
## [729] 29347 20412 39848 60720 28750 35074 45738 69260
## [737] 28600 85728 20301 37843 22518 31796 25500 43838
## [745] 169448 43560 34991 219106 53143 19843 40386 21096
## [753] 32234 36601 22547 61419 175421 167706 48743 48292
## [761] 36116 64469 19602 19439 241200 75794 20000 21000
## [769] 35218 190357 21138 35008 60392 215186 59242 191228
## [777] 24969 30144 28718 210254 35438 30083 22486 33888
## [785] 39446 20620 37500 25641 20031 91681 37642 101494
## [793] 19193 41022 21562 21562 35000 56192 203860 34175
## [801] 34689 218235 52769 87991 223462 35255 19401 34527
## [809] 97574 65340 208737 38258 42800 21074 40887 217800
## [817] 47502 41984 19876 20012 45738 239580 28000 28000
## [825] 28535 27820 32757 19800 28046 920423 34947 35009
## [833] 26036 35271 32109 53143 28703 45860 112521 19900
## [841] 98445 45738 40973 219978 25663 25639 36893 86225
## [849] 38095 41688 108464 50112 71191 119790 66646 20562
## [857] 209199 21904 52567 24740 28008 87120 21701 24767
## [865] 47480 60113 42840 82328 23962 19487 231739 20277
## [873] 256132 881654 23760 37193 38794 19877 131551 20954
## [881] 76877 45738 46786 34040 48788 20181 57499 43124
## [889] 438213 27600 24603 189050 217800 187313 47958 577605
## [897] 24354 37089 47916 78408 258746 35070 23891 123600
## [905] 19370 31747 51354 44866 25993 21578 49149 20925
## [913] 31314 49658 49044 39449 74052 198198 107157 54707
## [921] 196995 100188 48352 219527 47480 19500 77603 30480
## [929] 1074218 35075 145054 22098 145490 19210 38088 19969
## [937] 27000 48351 70131 24650 38448 27505 55756 21780
## [945] 67269 68824 34000 1024068 24437 30056 223898 43093
## [953] 215622 24330 25248 22605 263538 90968 49658 19767
## [961] 37200 33825 20053 36862 149410 22508 31564 27122
## [969] 34848 39964 19570 26400 171190 19585 21375 27007
## [977] 39000 233481 43560 30000 35100 34222 122403 41811
## [985] 25741 34528 53696 46638 20001 39586 20553 78408
## [993] 59612 36769 57063 37045 98445 24550 193593 286181
## [1001] 39634 29258 21785 20104 21750 21115 32718 20193
## [1009] 35280 43301 33671 210395 21804 47044 48351 65501
## [1017] 53428 67518 49222 27441 43000 36665 36585 453895
## [1025] 107386 26615 19785 33826 27972 34830 185130 230868
## [1033] 35169 87555 44001 118047 49223 22445 50994 54885
## [1041] 43560 34848 21465 295772 115670 185130 20339 125452
## [1049] 269345 26571 27517 43560 165528 19965 266587 32340
## [1057] 38781 26375 39529 21883 25046 339332 37647 33664
## [1065] 35988 49503 169448 60960 52707 22081 28270 52322
## [1073] 51212 21043 209088 23345 83200 313672 83199 117176
## [1081] 229125 61855 21370 21494 30410 52062 22029 28000
## [1089] 35245 27468 51836 20828 206474 22588 36820 31215
## [1097] 31720 38449 43186 25995 38043 47480 324086 41236
## [1105] 19386 213008 44000 265716 52826 20900 24805 24440
## [1113] 49709 123710 27350 28212 51649 38707 108366 34395
## [1121] 36210 83199 499571 91911 46382 62290 35100 222156
## [1129] 47480 22873 68257 31374 50654 22870 57499 57499
## [1137] 108900 24750 217805 186436 19200 35267 87625 47916
## [1145] 37913 25990 21318 43560 31584 202554 23779 67319
## [1153] 37075 70567 46538 89640 141570 44866 214750 44431
## [1161] 49222 60984 37096 26670 47050 41382 40902 42646
## [1169] 29004 95832 22764 20251 32380 55321 19703 31497
## [1177] 38816 28600 30940 217800 91476 114127 54450 19204
## [1185] 35689 67518 52889 48994 55847 19163 214315 53578
## [1193] 36136 27598 21894 20822 33503 31626 871200 22050
## [1201] 35362 21183 35060 22464 20700 38377 42689 24046
## [1209] 33980 36256 83231 38865 49658 147823 20668 50662
## [1217] 20197 27442 43995 45528 36342 239144 32807 35108
## [1225] 34200 49542 32909 22500 20383 35273 19783 30166
## [1233] 47044 35127 51400 38677 22795 41206 82764 223027
## [1241] 24897 23265 36562 32417 26761 50965 57063 41338
## [1249] 35201 27566 34092 45902 43995 27295 77550 94525
## [1257] 23660 322188 186872 21780 23478 35123 44947 209523
## [1265] 44374 208216 47044 94089 215186 179419 19454 56609
## [1273] 48037 23244 32430 323215 336283 308080 81892 23790
## [1281] 20450 40588 20107 55931 56192 20609 180263 54450
## [1289] 266151 21303 52983 40173 42247 34238 77536 35346
## [1297] 51908 25160 97661 35265 29699 224769 76665 57499
## [1305] 35081 22672 64468 20820 30649 30346 38900 43560
## [1313] 237402 71874 142725 35021 20666 57063 23326 65340
## [1321] 22880 422096 28500 92347 54450 33000 54450 22326
## [1329] 60373 81021 117176 19200 26266 46609 53330 23180
## [1337] 40510 43692 35073 19923 104108 64033 20793 168000
## [1345] 53400 38180 21781 21781 20251 108464 26211 66613
## [1353] 28703 35153 20682 67756 21870 44967 36537 21052
## [1361] 54014 19865 129808 29043 52707 37451 24539 27081
## [1369] 41458 46609 156816 20400 32496 35283 219542 26162
## [1377] 19283 85377 42159 31411 53882 250470 38012 35362
## [1385] 19988 21303 21303 33310 35070 28300 21158 35000
## [1393] 72309 26540 226076 65340 244716 61014 32565 101529
## [1401] 188200 31941 74487 35802 40752 43350 20349 24792
## [1409] 189486 32840 21744 21450 167869 36450 80150 33106
## [1417] 42884 23522 92347 28008 217800 94525 38141 65836
## [1425] 20440 39960 27810 37122 27806 284011 137565 217882
## [1433] 35100 54315 21802 213008 22343 100623 39639 104108
## [1441] 23522 29930 93218 210830 273556 30378 244807 43560
## [1449] 36114 148975 39639 41804 49928 385506 222156 54977
## [1457] 59800 20281 28001 20445 329903 23373 20400 21780
## [1465] 91158 20011 20875 21480 42981 21010 23030 28324
## [1473] 52889 31931 33151 21540 213879 49428 21275 361548
## [1481] 60872 35640 22693 136915 24300 29110 60548 22725
## [1489] 280962 67953 64694 65556 75794 73616 40250 54014
## [1497] 50800 47419 35610 31353 35430 52595 57934 40500
## [1505] 21064 31705 22120 65558 44866 53578 103672 23900
## [1513] 26642 36300 58370 22320 23250 59863 51396 220414
## [1521] 28710 426452 38119 25157 28298 307752 257875 57538
## [1529] 34925 30185 216493 21727 22710 23100 23100 19200
## [1537] 196817 34041 91476 35736 25807 52476 59677 36000
## [1545] 44431 507038 35010 24604 94960 286355 203861 19747
## [1553] 19607 128502 42966 25474 50595 715690 26413 33305
## [1561] 139392 251460 40392 25277 29013 22496 42500 43056
## [1569] 32112 19966 224769 70407 94089 30456 117176 27441
## [1577] 193406 24319 20240 220300 62290 20423 22885 46173
## [1585] 24192 223027 217800 27760 39704 37950 100188 435600
## [1593] 20824 46609 32481 19200 199253 199253 36446 43177
## [1601] 223462 20150 78843 42070 26136 88714 54013 24250
## [1609] 59677 127631 76531 38461 43995 34548 27075 47480
## [1617] 26720 432036 209523 20040 641203 41550 212137 34670
## [1625] 24700 20283 30884 78843 48787 27332 19225 46644
## [1633] 48787 203425 167125 210201 77574 45613 221720 403693
## [1641] 61419 39927 426450 22443 53357 35124 33661 99752
## [1649] 20750 262231 158558 35200 19275 89298 37076 106722
## [1657] 136290 22194 20388 49765 43787 25500 45254 33578
## [1665] 23400 35654 33600 365904 150945 20274 98445 31920
## [1673] 65340 41343 435600 70131 67475 23819 20785 81892
## [1681] 24586 26831 27200 47870 21780 58488 344124 29536
## [1689] 45738 21000 32500 41000 41194 43560 58157 48076
## [1697] 39000 27319 219978 24190 58806 252648 30120 27144
## [1705] 22080 32700 113691 26600 22421 224442 224442 67082
## [1713] 217800 36356 217852 32219 47044 33750 26099 30456
## [1721] 102366 23522 26319 37565 22702 33042 165092 79279
## [1729] 63597 63597 30689 43560 43560 65340 25705 23550
## [1737] 79279 64033 19400 57599 25038 209088 54059 28064
## [1745] 21876 23750 107362 42717 155509 24750 28480 29136
## [1753] 61419 85226 31570 19449 22093 443440 43170 102366
## [1761] 29985 26000 43748 247421 19550 21675 107157 21000
## [1769] 21893 24170 46609 42247 34412 200811 44315 81021
## [1777] 19271 103237 35445 52333 123710 19831 21183 21392
## [1785] 211266 28433 21600 43560 19965 92782 64438 205603
## [1793] 47318 22763 31505 288367 36615 60984 36360 25000
## [1801] 118047 23505 23115 113862 55764 26445 20000 19991
## [1809] 41689 19206 35400 36509 24684 35083 67953 188465
## [1817] 53578 48096 25992 33976 27008 183387 88426 21600
## [1825] 219542 128502 42180 35741 63737 27699 22257 22470
## [1833] 217697 25412 21000 22040 19485 22239 61419 23292
## [1841] 22572 28650 383328 28800 23972 34460 33158 49658
## [1849] 20672 45514 35380 41250 22000 22499 29539 28206
## [1857] 35429 22043 70567 39094 48716 32997 21850 19354
## [1865] 56192 78844 108900 35150 37238 103237 32250 21441
## [1873] 107157 103672 39317 53173 139392 35600 47044 186846
## [1881] 45732 19405 228690 35160 87991 213008 26943 153767
## [1889] 21780 56628 38400 21164 38186 74297 43608 68841
## [1897] 28185 35900 54000 36721 20100 321908 35124 27153
## [1905] 45738 22767 136778 90169 24466 23925 25710 23544
## [1913] 23065 226097 24054 217800 20345 435600 35512 226512
## [1921] 39356 129578 30184 33090 20348 20021 210830 34981
## [1929] 34800 43560 19874 40250 21343 32880 26574 72309
## [1937] 35171 44634 19744 91911 32467 128066 24140 42693
## [1945] 21340 29185 37120 40918 22896 19180 623779 36250
## [1953] 20662 20759 21755 36974 37258 25732 19270 209523
## [1961] 39430 28078 23000 48706 68519 33206 20040 43124
## [1969] 57745 21834 40312 25752 38884 45537 213008 22326
## [1977] 44384 35233 27042 55321 59586 39160 22089 20441
## [1985] 34939 35765 44431 19899 28531 107290 50123 20189
## [1993] 39165 32010 20000 131790 43332 32710 39932 36585
## [2001] 45234 35100 35617 230868 31491 25000 19860 90169
## [2009] 19290 31299 20424 19844 39189 36465 32251 96703
## [2017] 172497 25870 70800 81935 73151 22529 20812 144619
## [2025] 48787 85643 383328 23870 47179 20384 37264 35757
## [2033] 20067 23669 36558 21883 56192 478288 21485 27003
## [2041] 21780 65775 21455 42998 161913 40039 37277 213008
## [2049] 36478 21400 33740 69351 20894 43560 82764 23321
## [2057] 117176 53143 21208 19865 54380 50094 19542 158558
## [2065] 34850 21712 38546 60112 23809 36680 136343 34498
## [2073] 60984 32093 1164794 45738 39049 43700 30500 501376
## [2081] 47959 80400 82031 32379 35200 29308 20005 20001
## [2089] 246114 19864 23361 45302 23103 57499 50002 71002
## [2097] 53578 41147 21806 120661 34560 19200 57990 81021
## [2105] 533610 74052 43216 210394 62290 28254 38615 105850
## [2113] 223463 234788 28176 95396 21190 34510 59241 47743
## [2121] 30570 117378 203425 43091 94855 36200 48351 48351
## [2129] 19989 27215 216344 40600 101930 542322 24074 26114
## [2137] 24123 23400 45302 79993 29735 108900 54160 36762
## [2145] 44550 49658 39460 43560 81893 35169 20590 39324
## [2153] 22798 32772 19447 40642 32109 35183 20000 20063
## [2161] 23160 137214 23723 48787 219106 39768 23716 40471
## [2169] 46173 25661 21320 118666 41636 41300 217800 35120
## [2177] 159865 49222 435600 26051 32336 53578 31200 46355
## [2185] 54846 50155 320917 68377 112384 21738 128937 213444
## [2193] 35500 24085 176418 43560 38350 35071 213444 37982
## [2201] 250905 257875 24166 43950 20570 42775 49658 37607
## [2209] 53628 49658 21050 37800 26862 54450 21980 25470
## [2217] 50233 217800 77972 37011 45535 22144 37026 87117
## [2225] 44431 109336 32137 48351 30409 29597 54400 212137
## [2233] 49456 21217 22814 19168 214315 35192 37042 58341
## [2241] 20445 52302 19177 235063 24318 40962 76230 21196
## [2249] 147856 55756 21781 54014 435600 35912 22000 50951
## [2257] 43560 22652 21374 97138 184140 46173 53941 66211
## [2265] 34412 19530 111949 35150 39413 40813 30122 35440
## [2273] 27345 26742 36900 100188 26329 234352 35000 26500
## [2281] 22100 40284 192099 144183 24237 23623 493534 27227
## [2289] 115434 35025 28593 167270 19745 19897 422967 29252
## [2297] 50965 54450 216057 45302 40946 47044 19800 46173
## [2305] 33224 21344 37034 213008 19250 26127 103672 90796
## [2313] 219542 98445 37430 38830 22040 20000 30200 26027
## [2321] 32647 22215 32700 52272 38032 292723 35889 26650
## [2329] 88426 20790 68825 22649 27755 92721 38322 20875
## [2337] 24004 20369 40164 251341 23507 87120 19798 34500
## [2345] 63162 26895 159865 43560 19672 108900 125452 218506
## [2353] 231303 19842 35306 23512 35415 24527 31550 144619
## [2361] 89651 107157 415126 95950 51836 74052 64626 28213
## [2369] 41327 207781 64441 61419 213073 270236 30250 23786
## [2377] 249126 42755 503989 207141 43560 871200 26772 205603
## [2385] 285318 39553 47480 46173 161607 31450 32400 27251
## [2393] 374616 27490 60086 43832 77832 69848 22653 215186
## [2401] 275033 40806 151588 25020 21477 21195 54014 19412
## [2409] 384634 35006 47480 279968 276170 104979 66250 159430
## [2417] 24750 22000 35046 130208 62726 130017 50621 108865
## [2425] 184231
##
## $floors
## numeric(0)
##
## $waterfront
## [1] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [36] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [71] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [106] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [141] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
##
## $view
## [1] 3 4 2 4 3 2 2 3 2 2 3 2 2 3 3 4 2 2 4 2 4 2 1 2 3 2 4 2 4 3 3 2 2 2
## [35] 2 2 1 4 2 2 2 3 2 1 2 2 2 1 1 2 3 4 2 3 3 1 2 4 2 1 3 1 2 2 4 3 2 1
## [69] 1 2 2 3 2 3 1 3 4 2 4 1 2 3 2 2 3 2 2 3 2 2 1 2 3 3 1 3 2 1 3 3 3 2
## [103] 3 2 2 3 2 4 2 4 2 2 3 4 4 1 4 3 3 2 2 3 3 2 2 2 3 3 1 4 2 1 2 1 4 3
## [137] 1 2 4 4 3 2 2 1 3 4 2 2 2 2 2 2 3 2 2 2 2 2 3 2 3 2 2 1 3 2 1 2 2 2
## [171] 2 2 4 2 3 1 1 3 4 2 2 1 3 2 3 2 2 1 4 2 3 4 3 2 3 2 1 3 2 2 1 2 2 3
## [205] 3 2 3 4 3 1 2 3 2 2 3 2 4 4 4 3 2 3 3 2 2 3 4 3 4 1 2 3 3 2 2 2 2 2
## [239] 1 2 2 2 2 2 3 3 2 1 3 3 1 2 1 4 3 2 3 3 3 4 2 2 2 2 2 3 2 3 3 4 4 2
## [273] 2 1 4 2 3 1 2 4 1 2 1 1 1 2 3 2 4 2 3 2 4 2 2 2 2 2 3 3 1 3 1 2 1 2
## [307] 4 3 2 2 3 2 1 2 2 1 2 2 3 2 2 4 1 2 2 4 1 2 2 3 2 3 1 1 2 2 2 4 2 1
## [341] 3 3 3 2 4 4 2 1 3 1 1 1 1 3 2 1 1 2 3 2 2 1 1 3 2 4 2 2 2 2 3 1 1 2
## [375] 2 1 4 2 4 2 4 1 1 3 1 2 2 2 4 1 3 3 2 2 2 3 1 3 3 1 2 2 2 2 4 3 3 2
## [409] 2 3 1 2 2 2 4 3 2 2 2 2 1 4 2 2 2 2 2 2 3 3 4 1 3 4 1 4 2 2 1 2 1 2
## [443] 4 2 3 4 3 3 3 4 1 1 4 3 2 3 4 4 4 4 3 4 1 4 2 3 1 2 2 1 2 4 1 2 3 2
## [477] 2 2 2 2 3 2 3 1 2 3 3 3 4 2 2 2 2 2 2 3 4 3 3 1 1 1 2 2 1 3 4 2 2 2
## [511] 2 1 1 2 1 3 2 1 2 2 2 3 4 2 3 2 1 2 2 3 4 2 2 3 2 2 2 2 2 1 2 2 2 2
## [545] 2 1 2 2 2 3 2 2 3 1 2 2 2 1 2 2 2 2 3 2 1 2 2 3 1 2 3 2 2 2 4 4 2 2
## [579] 3 2 4 1 3 3 4 2 2 4 2 3 2 2 2 2 2 4 3 3 2 4 1 2 2 1 3 2 3 2 2 3 2 2
## [613] 4 3 2 1 2 3 2 1 3 4 2 3 2 2 2 2 2 2 3 4 2 2 1 4 2 2 1 2 4 2 3 4 2 4
## [647] 1 3 1 1 1 4 3 2 3 1 4 1 2 3 3 4 2 4 4 3 3 3 2 3 2 1 2 3 2 2 4 2 2 1
## [681] 3 2 3 1 3 2 4 2 4 2 2 2 3 1 2 2 3 1 3 2 3 2 2 3 2 2 2 3 1 3 1 2 1 2
## [715] 2 3 3 1 2 3 2 3 1 2 2 3 2 2 3 2 3 4 3 4 1 2 2 3 4 2 2 2 3 2 2 2 4 4
## [749] 2 3 2 1 2 4 3 4 1 1 2 2 2 1 3 2 1 3 3 2 3 4 1 1 2 1 3 1 1 2 2 2 3 2
## [783] 2 2 2 3 2 3 3 2 4 3 1 4 2 2 2 3 2 3 2 3 1 2 2 2 3 3 3 1 3 2 3 2 1 4
## [817] 2 3 2 3 4 2 2 2 4 3 1 1 4 2 4 2 3 4 2 2 2 4 2 2 3 1 4 2 1 4 1 4 3 3
## [851] 3 1 2 4 1 3 1 2 2 1 1 3 4 2 3 3 2 3 2 3 3 2 4 1 1 4 1 2 1 2 3 2 4 3
## [885] 3 3 2 2 2 2 2 3 3 4 3 3 2 1 4 4 1 4 2 2 2 2 3 2 2 3 2 3 2 3 1 3 2 2
## [919] 2 2 3 2 2 4 2 4 2 3 4 4 2 3 1 2 2 1 2 4 2 4 4 3 4 1 4 2 4 4 2 2 3 4
## [953] 4 1 1 2 2 2 2 2 2 2 1 1 1 2 2 2 1 2 2 2 2 3 1 1 1 3 2 3 2 1 1 2 1 2
## [987] 2 2 1 2 2 2 2 1 2 2 2 2 1 1 2 2 3 4 4 3 1 2 2 2 2 2 2 4 2 2 1 3 2 2
## [1021] 2 2 3 2 3 3 3 1 2 4 2 2 2 3 2 2 2 2 2 2 4 2 2 2 2 2 2 4 1 4 3 3 2 3
## [1055] 2 4 1 2 2 3 3 2 2 2 4 3 2 2 2 2 3 2 2 1 2 3 2 3 4 1 1 3 3 4 3 3 3 2
## [1089] 2 2 1 2 3 3 1 3 1 2 3 4 2 4 2 2 3 2 3 2 2 1 1 3 2 1 3 4 3 2 1 4 2 1
## [1123] 3 4 2 2 2 4 2 2 4 2 2 2 2 3 4 1 4 2 1 2 3 2 2 2 3 3 4 2 2 2 4 4 2 3
## [1157] 2 2 2 2 1 2 4 4 2 4 2 4 2 2 1 3 3 1 4 1 3 2 3 3 4 3 2 4 3 2 3 3 1 1
## [1191] 2 4 4 1 4 3 3 2 2 2 2 3 2 3 1 2 3 3 1 3 3 2 2 3 3 3 2 4 4 4 2 3 2 2
## [1225] 3 2 2 2 2 3 3 2 2 2 3 3 1 2 2 2 3 2 4 2 2 2 3 1 1 3 2 3 1 3 4 1 1 2
## [1259] 4 2 2 3 1 2 2 2 2 1 2 3 4 2 4 1 2 4 3 2 2 3 3 2 3 3 3 4 2 2 2 4 3 2
## [1293] 2 2 2 2 4 4 2 3 3 4 3 2 4 4 3 2 2 4 4 2 3 2 4 4 2 1 2 2 1 2 3 3 2 1
## [1327] 2 2 4 2 1 4 2 1 4 2 2 2 3 2 1 2 2 1 1 3 3 3 4 3 1 3 2 3 4 4 2 3 4 2
## [1361] 1 3 2 2 2 2 2 3 2 2 1 3 2 1 3 4 2 4 2 4 1 4 3 4 4 4 2 2 2 3 2 2 2 2
## [1395] 3 4 3 2 3 4 4 2 2 3 2 2 3 3 3 3 2 4 2 4 4 3 2 3 2 1 2 2 1 2 2 1 2 2
## [1429] 2 3 4 3 2 2 3 1 3 3 2 1 3 2 3 2 4 2 3 4 2 3 1 2 4 2 4 3 3 2 2 4 2 3
## [1463] 1 2 4 3 2 1 2 2 4 1 1 3 3 1 2 3 2 4 4 2 2 1 3 3 3 3 1 3 4 2 2 2 1 3
## [1497] 2 2 2 2 2 2 4 3 4 2 2 4 2 3 4 2 3 3 1 2 4 1 2 3 1 2 4 2 1 2 2 3 4 2
## [1531] 2 1 3 3 2 2 2 2 4 2 3 2 4 4 3 2 2 2 2 4 4 2 3 4 2 4 4 3 4 4 3 4 4 2
## [1565] 3 4 2 2 3 1 4 3 1 2 4 2 3 1 1 3 2 2 4 1 1 3 4 4 3 2 3 1 2 3 1 2 1 4
## [1599] 4 1 4 4 3 2 4 2 1 2 4 1 1 2 1 3 3 1 2 1 2 2 2 1 2 2 1 2 2 3 1 2 3 3
## [1633] 2 2 3 1 2 2 2 2 2 2 2 2 2 2 2 2 4 2 2 1 2 2 2 4 2 2 4 4 2 2 1 2 2 2
## [1667] 2 4 3 2 3 2 3 2 2 2 2 3 4 3 3 3 2 1 2 2 1 4 2 3 1 1 3 3 1 3 2 4 1 3
## [1701] 2 2 3 2 3 2 2 4 2 2 2 2 1 2 4 2 4 2 3 1 2 2 2 4 4 2 2 1 3 2 2 2 2 2
## [1735] 1 2 2 2 4 2 2 1 2 2 3 3 4 3 2 3 3 3 1 3 3 2 3 4 4 1 4 4 3 2 2 1 2 1
## [1769] 2 1 2 4 2 2 2 1 2 2 2 3 2 2 3 4 3 3 3 2 2 2 2 4 2 2 3 4 2 2 3 2 2 3
## [1803] 4 2 1 2 2 2 3 2 2 2 2 2 4 4 2 1 1 2 2 3 1 2 2 1 3 3 2 2 1 3 1 4 2 2
## [1837] 3 2 2 3 2 3 2 1 2 2 2 2 2 2 1 4 2 2 3 3 2 2 3 2 2 4 2 2 3 2 2 2 3 1
## [1871] 2 4 3 2 4 2 2 1 1 4 1 1 1 3 3 4 1 2 1 3 3 3 4 2 2 3 2 2 2 2 3 4 2 1
## [1905] 4 3 4 2 1 2 2 4 1 3 2 3 4 4 4 2 4 1 3 3 4 2 2 2 3 3 3 2 3 3 4 3 1 1
## [1939] 3 3 2 2 4 4 2 3 2 4 2 4 3 3 3 1 3 2 2 4 2 2 1 3 2 3 2 2 3 2 1 1 2 2
## [1973] 3 1 2 1 2 4 2 1 1 2 1 1 2 2 2 3 3 1 1 2 2 2 2 2 3 3 2 2 1 4 3 1 4 3
## [2007] 3 3 2 3 2 2 2 1 4 2 2 2 4 1 2 2 3 2 4 4 1 4 2 2 3 2 3 3 3 4 2 2 3 1
## [2041] 4 3 1 2 2 3 3 3 4 2 2 1 1 4 2 2 3 2 3 1 3 2 1 3 3 1 2 1 2 4 3 2 2 2
## [2075] 2 3 3 2 3 1 4 3 2 2 2 3 3 2 1 2 4 2 2 1 2 3 2 4 2 3 2 1 2 2 3 2 3 2
## [2109] 1 2 2 1 2 2 3 2 2 3 3 2 4 2 2 2
##
## $condition
## [1] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
##
## $grade
## [1] 11 5 10 11 10 10 10 10 12 10 5 10 10 10 10 10 10 5 5 11 11 10 10
## [24] 10 11 11 4 10 10 10 11 10 10 5 12 11 10 10 10 10 10 4 10 11 5 11
## [47] 10 10 10 5 11 10 12 11 10 10 11 10 10 11 10 11 10 10 5 5 12 11 10
## [70] 10 10 11 12 11 5 5 5 10 10 10 10 10 10 10 5 10 10 10 10 10 11 4
## [93] 10 5 11 10 11 5 11 5 10 3 10 10 12 5 11 10 10 10 10 10 10 10 12
## [116] 11 12 10 10 5 11 10 10 11 10 10 12 5 10 10 11 10 10 10 10 10 10 10
## [139] 11 10 10 10 10 10 10 10 10 11 12 10 10 10 10 5 10 10 11 11 10 10 11
## [162] 10 11 10 10 10 11 10 11 10 11 10 5 10 5 10 10 10 10 11 10 5 10 10
## [185] 10 11 11 11 10 11 10 5 10 10 10 10 12 12 10 12 10 10 11 10 10 10 10
## [208] 11 10 11 11 10 11 10 10 10 10 10 10 10 11 10 12 11 10 10 11 10 11 10
## [231] 10 10 10 10 5 10 10 5 12 10 10 10 10 5 10 10 10 10 10 10 12 11 12
## [254] 10 10 5 11 11 5 10 11 5 10 12 10 10 10 3 10 10 5 10 10 11 11 5
## [277] 5 10 11 10 5 11 10 10 10 10 10 5 5 11 11 11 10 5 10 10 10 10 10
## [300] 4 11 10 5 5 11 10 11 10 10 10 10 10 11 10 10 10 10 10 5 5 11 11
## [323] 10 11 5 5 4 10 10 11 11 10 12 5 10 10 5 10 5 11 10 11 10 11 10
## [346] 11 5 12 10 12 5 10 11 10 10 11 10 5 10 10 10 5 5 11 11 10 13 10
## [369] 10 10 11 10 10 11 11 11 10 10 5 5 5 10 10 10 11 10 10 10 10 5 10
## [392] 5 10 10 5 11 11 11 10 10 10 10 10 13 10 10 4 11 10 10 10 10 11 10
## [415] 10 5 10 10 11 10 10 11 10 10 11 11 10 10 10 10 10 10 10 4 11 11 10
## [438] 5 5 10 5 10 10 11 11 11 5 10 10 10 10 10 10 10 10 10 10 5 13 10
## [461] 10 5 10 10 10 11 5 5 5 11 10 5 10 10 5 5 10 10 10 11 10 10 10
## [484] 10 11 10 5 11 10 12 12 11 5 11 10 11 10 3 10 11 5 11 10 5 10 10
## [507] 11 5 10 5 10 11 10 10 11 5 12 5 10 13 10 5 10 5 10 10 11 11 10
## [530] 10 5 10 10 11 10 10 10 10 11 11 10 10 10 10 10 10 10 10 5 10 10 11
## [553] 10 5 11 10 10 11 10 4 10 11 11 12 11 10 5 11 11 10 11 10 5 12 10
## [576] 12 10 11 5 5 10 10 10 5 10 10 10 11 5 11 11 10 10 10 10 10 5 10
## [599] 5 12 11 11 12 11 5 11 10 13 10 11 10 10 11 10 5 10 10 5 10 11 10
## [622] 10 10 13 11 5 12 12 10 10 10 10 10 10 11 10 12 10 10 10 10 5 10 10
## [645] 11 10 10 11 10 10 11 10 10 11 10 10 10 12 10 10 10 11 10 10 5 10 10
## [668] 11 11 10 10 10 10 10 10 11 12 12 5 11 11 10 11 10 13 10 11 4 5 10
## [691] 5 10 5 11 5 12 5 5 11 11 10 10 10 5 11 11 10 5 10 10 10 5 10
## [714] 10 10 10 10 10 11 10 12 11 11 10 10 11 10 10 10 4 5 10 5 10 4 4
## [737] 12 10 10 11 10 10 10 11 5 11 10 10 5 11 10 10 10 10 10 10 5 10 10
## [760] 10 10 10 10 10 11 10 10 10 10 5 10 10 10 5 10 5 11 13 12 11 11 10
## [783] 10 10 11 10 5 10 10 11 11 10 10 10 11 10 10 11 5 10 10 10 10 10 4
## [806] 10 11 10 10 10 10 10 11 11 10 10 4 10 10 10 10 10 10 10 10 5 10 10
## [829] 10 5 5 10 11 10 11 11 10 5 10 10 10 10 10 10 10 10 10 5 11 11 10
## [852] 13 10 11 10 10 10 10 5 10 11 10 12 10 10 10 10 10 10 10 10 10 11 5
## [875] 10 11 10 10 11 10 11 10 10 10 10 10 11 11 5 10 5 10 11 10 5 11 12
## [898] 10 10 10 10 10 12 5 5 10 11 10 5 10 11 10 10 10 10 11 5 12 11 10
## [921] 10 10 10 11 10 12 10 10 11 10 10 10 10 11 10 5 11 5 10 11 11 12 10
## [944] 5 10 5 10 10 10 10 10 4 5 11 10 10 11 10 11 10 4 11 11 11 10 10
## [967] 10 10 11 10 10 10 5 12 5 12 10 5 10 11 5 12 12 10 10 10 12 10 10
## [990] 5 10 10 10 10 10 10 10 11 10 10 10 10 10 11 11 10 10 10 10 10 10 11
## [1013] 4 10 10 10 10 10 11 10 10 10 10 11 5 10 11 11 5 10 10 10 10 10 11
## [1036] 10 12 11 5 5 5 11 11 10 10 11 10 10 5 10 10 10 5 12 10 10 5 10
## [1059] 5 10 10 10 10 5 12 5 10 10 5 5 5 10 10 12 11 10 10 10 10 10 10
## [1082] 10 11 10 10 5 10 5 11 5 10 10 10 10 10 10 10 11 11 10 10 10 10 10
## [1105] 10 11 11 11 10 10 10 10 10 12 13 10 10 11 11 10 10 5 11 10 10 10 10
## [1128] 11 10 10 10 5 12 11 5 10 11 11 10 10 10 5 11 10 10 10 5 5 10 11
## [1151] 13 11 12 10 10 5 11 5 10 10 5 11 10 11 10 10 5 10 10 10 10 10 10
## [1174] 10 4 10 11 11 10 10 5 5 11 4 10 11 5 11 10 11 10 10 10 11 5 10
## [1197] 10 11 11 11 10 10 5 10 10 12 11 10 5 5 10 5 10 5 5 10 10 11 10
## [1220] 13 4 10 10 5 10 10 10 11 5 5 12 12 10 10 5 10 10 10 5 10 11 10
## [1243] 10 12 11 10 10 11 10 11 11 11 10 10 10 10 10 11 10 10 5 11 4 10 11
## [1266] 10 10 5 10 10 12 10 11 10 10 5 11 10 11 10 10 10 5 11 11 11 10 12
## [1289] 5 10 5 10 12 10 10 5 5 10 10 12 10 10 11 10 10 5 5 11 10 11 12
## [1312] 5 10 11 10 11 11 10 12 10 10 4 10 10 10 10 5 10 11 10 12 11 10 11
## [1335] 10 10 11 10 10 10 11 10 12 5 10 10 10 10 10 10 10 10 10 12 5 5 12
## [1358] 10 10 10 11 11 10 10 10 10 12 10 10 10 4 10 10 10 11 11 10 10 10 10
## [1381] 11 10 10 10 10 10 10 5 10 10 5 11 12 10 10 4 10 10 11 10 10 10 5
## [1404] 10 10 10 10 11 11 5 11 10 10 10 12 5 10 10 10 12 10 11 10 10 11 11
## [1427] 11 11 10 11 11 10 10 5 12 5 10 10 10 10 10 5 10 10 10 10 10 5 5
## [1450] 10 10 10 10 10 5 10 10 10 11 10 10 10 11 10 5 10 10 10 5 10 4 11
## [1473] 10 10 5 5 5 10 10 10 11 10 10 10 5 5 5 10 10 11 5 5 5 5 5
## [1496] 10 11 10 10 10 10 11 5 10 10 11 11 10 5 10 5 10 10 5 5 10 11 11
## [1519] 10 10 11 11 10 10 11 12 5 10 10 11 4 5 10 10 10 10 11 11 10 11 10
## [1542] 4 10 11 11 11 10 11 10 10 10 11 5 5 10 10 10 11 10 10 10 10 11 10
## [1565] 4 10 11 11 11 12 10 10 10 10 11 10 10 5 12 12 5 10 10 10 10 11 5
## [1588] 10 10 10 10 11 10 11 5 10 10 10 12 10 11 10 10 10 10 11 10 10 5 10
## [1611] 10 5 10 10 10 10 10 10 13 10 10 10 11 10 5 12 5 10 10 11 10 10 10
## [1634] 11 11 11 11 10 11 10 11 10 10 10 5 10 11 10 12 4 10 10 10 10 10 10
## [1657] 10 5 11 10 1 10 10 10 11 10 11 10 10 10 10 10 11 11 10 10 10 10 10
## [1680] 10 10 10 10 10 11 10 10 12 11 10 11 10 10 10 11 11 10 11 10 10 10 10
## [1703] 10 12 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10
## [1726] 10 10 11 11 10 11 11 11 10 10 11 10 10 10 10 10 10 10 10 10 10 10 11
## [1749] 10 11 10 10 10 10 11 10 10 10 11 11 11 11 10 11 10 10 10 10 10 10 10
## [1772] 10 12 11 10 10 11 10 10 12 10 10 10 10 10 10 10 10 11 10 10 10 11 10
## [1795] 10 10 10 11 10 10 11 10 10 10 10 10 10 11 10 10 10 10 11 10 10 11 11
## [1818] 10 10 10 10 10 10 10 11 11 11 10 11 10 10 10 10 11 11 12 10 10 10 10
## [1841] 10 10 10 10 10 11 10 10 10 10 10 10 10 10 10 11 10 11 10 10 10 11 11
## [1864] 10 10 10 11 12 10 10 10 10 10 10 10 10 10 10 10 10 11 10 5 10 10 10
## [1887] 10 10 10 10 10 12 11 10 10 10 11 11 11 10 11 11 10 10 10 10 10 11 10
## [1910] 10 11
##
## $sqft_above
## [1] 3890 3760 4750 5310 3840 6070 4040 3840 4860 3860 4030 4410 6050 4740
## [15] 5403 4120 4150 4370 4570 4670 4230 4270 5670 4475 6070 4300 3990 5990
## [29] 4460 4190 4250 4930 3840 5000 5320 6720 4210 3890 3830 5153 4210 4740
## [43] 5450 4280 3880 4570 3750 4130 5710 4700 3810 4490 4150 4070 3840 5770
## [57] 4030 3810 4490 3840 4360 3960 4460 4340 3850 4750 4350 4160 5180 4070
## [71] 5130 6350 3770 3780 4750 3950 3915 3880 4870 4030 4740 3850 4860 4310
## [85] 3930 4070 4080 5400 6110 3859 4600 3940 3800 4230 4070 5050 4000 4220
## [99] 3860 3890 3890 5230 5370 4140 4270 4430 4210 4130 3780 4610 7680 4250
## [113] 3820 4120 3770 4610 5080 4140 4340 3770 5760 4390 4000 3810 4400 6200
## [127] 4320 4380 4040 4580 4180 4240 4070 6110 4115 3780 3830 3780 5830 4140
## [141] 3920 3930 5990 5070 3910 3810 4020 3830 3880 3810 4130 4750 4060 4060
## [155] 4890 3820 4160 4020 4090 3990 4560 4570 3760 4060 4430 4720 3810 5450
## [169] 3780 3840 4160 5610 4900 4290 3830 4050 4260 4440 3930 3750 6220 3910
## [183] 4500 3900 3930 3831 4130 4410 4470 4280 5400 4810 4750 3800 4320 3920
## [197] 4760 8570 4360 4260 5140 3920 4410 4230 4280 4380 5250 4210 3880 3950
## [211] 3750 4030 3970 4200 4140 5240 4820 3840 4100 3880 4360 4380 4010 4050
## [225] 3830 6430 3790 4150 4060 4080 3810 3800 3770 4170 3950 5584 8860 4500
## [239] 4200 4280 5220 4340 4850 3790 5844 5530 4190 4010 3950 4910 3810 3930
## [253] 4060 3880 4610 3790 4700 3900 3830 3840 3930 5000 3920 3870 3870 4120
## [267] 5050 6290 4280 3860 3980 4490 3810 5370 4070 3760 4090 5000 3770 5440
## [281] 6085 3920 4400 3860 4470 3750 6640 4620 4570 4380 4500 3850 3990 4070
## [295] 3810 4330 4030 4170 4170 4820 4570 4570 3800 4320 3820 7420 4850 4310
## [309] 3920 4000 4225 4370 3950 3910 3780 5050 3980 5550 4133 4610 3990 3870
## [323] 4285 4430 3940 9410 4080 3910 4220 3830 5330 4270 4020 3960 4670 4020
## [337] 3870 4260 6380 7880 4440 4160 3910 4470 4500 4010 5370 4180 5190 3880
## [351] 3880 5020 5980 4430 4440 4140 4410 5550 4540 4540 4130 5020 4430 6120
## [365] 4480 4110 4770 4930 5160 4570 3800 4110 4230 4100 4780 4670 4980 3790
## [379] 3860 3900 4100 4110 4190 4830 4080 4790 4150 5010 4320 4440 4050 3930
## [393] 4400 4040 4670 4070 4660 4030 3790 3980 3920 4630 3970 3750 4210 3780
## [407] 4510 4560 3920 4420 3960 4240 4150 4040 3790 4700 3800 4940 5110 4770
## [421] 6660 4060 4300 3870 4740 4610 4090 4010 4270 4080 5090 4240 3920 3930
## [435] 4070 4270 4070 4170 4510 3920 4040 5480 4200 5040 4490 3960 3810 3920
## [449] 4150 4410 3880 4030 5180 4180 4010 3820 4010 3830 4170 3950 3860 3760
## [463] 5240 4083 8020 3905 4590 3810 3950 3750 4670 4290 6090 3970 7320 4270
## [477] 4040 3880 4290 3900 4040 4930 3820 4910 3780 3960 5490 3940 4460 5300
## [491] 3990 4260 3850 4460 4065 3830 5080 3800 3820 4360 4660 4000 5430 3750
## [505] 4180 4160 4170 4120 4750 4660 3970 4180 4590 4800 7850 4280 4000 3855
## [519] 3750 4570 3745 3900 3820 4220 4340 4130 3860 3845 4100 3800 5060 4140
## [533] 3910 4000 3820 4150 3960 4810 4360 4410 4270 3970 4010 4150 4030 4030
## [547] 4280 4960 6530 4640 3860 6370 4360 3990 3980 4020 4430 3870 4840 4150
## [561] 4390 3880 3828 4260 4140 3940 4430 4040 4130 4230 4950 3940 4240 5190
## [575] 3906 5480 4073 3830 3820 3860 3930 4100 3870 4140 4370 4010 4150 4000
## [589] 3950 4900 4070 4350 3980 4100 3950 3770 4450 3890 4590 4620 4010 6420
## [603] 4280 4300 4180 4420 4350 4500 4170 3990 4470
##
## $sqft_basement
## [1] 1530 1700 1620 1510 1600 1700 1600 1490 1640 1460 2000 1430 1950 2060
## [15] 1820 1450 1950 1600 1600 1580 1470 1780 1900 1450 1760 1600 1720 1760
## [29] 1510 1800 1810 1460 1830 1590 1620 1420 1960 1560 2020 2110 1490 2390
## [43] 1600 1780 2020 1700 1410 1450 1500 1800 1580 1800 1480 1670 1510 1800
## [57] 1620 2570 2110 1490 2590 1580 1480 1410 1480 2500 1940 1550 2350 2490
## [71] 1481 1470 1520 1850 1830 1660 2130 2600 1450 1850 1690 1850 1600 1520
## [85] 1780 2620 1600 1430 1798 2060 1610 1780 1440 1590 1500 1450 1600 1690
## [99] 1500 1470 1570 1590 1650 1500 1510 1910 1630 2360 1852 2090 2400 1480
## [113] 1790 2150 1500 1440 1500 1430 1720 1500 1410 1680 2100 3000 1870 1530
## [127] 1420 1460 1710 1640 1500 1410 2030 1650 1820 1540 1540 1710 1460 2850
## [141] 1610 1800 1660 1420 1420 2170 1450 2150 1560 1560 1830 1720 1460 1590
## [155] 1670 1500 1530 1430 1500 1530 2170 1940 2040 1800 1490 1750 1570 1420
## [169] 1460 2030 2720 1720 1420 1660 1610 1460 1500 2730 1720 1440 1590 1480
## [183] 1450 1420 1840 3480 1440 1540 1790 1490 1540 1680 2160 1430 1690 1450
## [197] 1650 1700 1870 1920 2330 2330 1690 1480 1860 1500 1490 2050 4820 1410
## [211] 2060 1600 1780 1560 1913 1830 1550 1440 1750 1760 1910 1870 1430 1410
## [225] 1540 1420 1550 1480 1500 1680 1650 1580 1790 1850 2010 1940 1410 1450
## [239] 2060 1680 3260 1420 1660 1820 2200 1450 1480 1590 1510 1730 1600 1460
## [253] 1510 1700 1500 2020 2100 1540 2196 1590 1570 1930 1810 1410 1800 1640
## [267] 1540 1420 1590 2080 1510 1530 1900 1490 1430 2580 1940 1548 1740 1500
## [281] 1900 1630 1560 1460 1410 1620 1860 1460 2060 1890 1570 1450 1510 1500
## [295] 1420 2220 1500 1420 2070 4130 1520 1460 1460 1650 1580 1630 1590 1430
## [309] 1590 1790 1740 1500 1910 2090 1450 2250 1450 2240 2160 1760 1440 1600
## [323] 1680 1870 1430 1990 2170 1510 1440 1500 1860 1720 1790 1410 1640 1660
## [337] 1760 2080 1580 1430 1440 1500 1500 1540 1410 2550 1580 1660 1740 1470
## [351] 1580 2300 1850 1650 2610 1890 1500 1600 1460 1940 1660 1500 1650 3500
## [365] 1510 1700 1510 2160 1590 1780 1500 1650 1530 2150 2070 1580 1570 2220
## [379] 2010 1690 1450 1750 1690 1600 1440 1590 1680 1450 1530 1420 2200 1430
## [393] 1420 1550 1710 2020 1500 1620 1760 1430 1816 1580 1520 1460 2000 1420
## [407] 1510 1650 1550 1500 1610 1540 1780 1900 1800 1490 1630 2020 1570 1600
## [421] 1590 1430 1520 1780 1670 1600 1500 1540 2190 1560 1800 1690 1760 1710
## [435] 1690 1500 1460 1520 1590 2070 1850 1620 1525 1880 1570 1840 1620 1450
## [449] 1800 1470 1440 1600 1480 1700 1790 1670 1570 1580 1790 2550 1600 2220
## [463] 1950 1730 1480 1450 1420 1580 1420 1440 1760 2180 1560 1720 1830 1670
## [477] 1500 1710 2310 1420 1520 1420 1770 2120 1870 1870 1540 2040 1950 1640
## [491] 1420 1640 2810 1450 1490 1800
##
## $yr_built
## integer(0)
##
## $yr_renovated
## [1] 1991 2002 1991 2010 1999 1992 2013 1994 1991 1978 2005 2008 2003 1994
## [15] 1984 1984 2002 1954 2014 2011 1974 2014 1999 1983 2013 2003 2005 2003
## [29] 2013 1945 1990 1990 1988 2005 1957 1977 1981 2014 1995 2002 1978 2000
## [43] 1999 1977 1998 1995 1970 1984 1989 1990 2004 2011 1994 1986 1992 2014
## [57] 1994 2009 2004 2007 2014 1990 1990 2007 1987 1973 2006 1985 1995 2004
## [71] 2001 2000 1986 1980 2014 1992 1971 2003 1994 1945 2007 1979 1997 2014
## [85] 2014 2010 2013 2011 2003 2002 2000 2014 1950 1988 2000 1990 1969 2014
## [99] 2014 2006 2006 2014 1948 2009 2006 1991 1983 2014 1970 2015 2014 1978
## [113] 2010 2013 1989 1974 2008 2005 2001 2014 1968 2014 2004 2003 1986 1989
## [127] 2012 2013 2014 2010 2006 2014 2007 2007 2014 2002 1987 2008 2007 2001
## [141] 2011 1991 2013 1991 1968 2014 2005 2003 1995 2015 2004 2014 2006 1986
## [155] 1963 1989 2002 2013 2013 1997 1984 2011 1987 2013 2014 2014 1951 1993
## [169] 1989 2003 1962 2005 1999 2008 1992 2013 1977 1996 1981 2014 1972 1990
## [183] 1999 2014 1970 2001 1985 2014 2006 2004 1980 1980 2005 1953 1993 2013
## [197] 1998 2006 1983 1996 2005 1984 1955 2015 1997 2005 1979 1996 1993 2004
## [211] 1981 2001 2001 2014 2005 2005 1982 1950 2008 2005 1993 2014 2013 2001
## [225] 2003 2000 2010 2001 1989 2009 2000 2014 2014 2014 1997 2013 2003 2004
## [239] 1992 2014 2010 1990 2006 2005 1985 1979 1956 1990 2014 2000 2011 2014
## [253] 1982 1971 1963 2014 1969 1996 1983 1983 1995 1992 2015 2007 1988 1984
## [267] 1989 1991 2008 1991 1991 2014 1994 2009 2002 2013 2005 2004 1993 2001
## [281] 1987 2005 2010 2004 2006 2010 2007 1997 2014 2010 2007 1998 2005 2014
## [295] 1997 1990 1969 2005 1940 2003 1983 2013 1983 2000 2013 1998 1995 1998
## [309] 1980 1983 1987 1976 2003 2007 2012 1977 1977 2014 1985 2004 2003 1969
## [323] 2015 2014 2003 1989 1991 1940 2000 1998 1987 1989 2000 2014 2003 1985
## [337] 1985 1984 2015 2005 1983 1996 1946 1997 2002 2000 1988 2010 2009 1975
## [351] 1990 1999 1990 1992 1988 2002 1998 2015 2014 2007 2014 2009 2014 2008
## [365] 1985 2003 1993 2004 1983 1994 2009 1958 2004 1990 2011 1964 1964 1955
## [379] 1962 1986 1970 2005 2014 2013 2007 1987 2003 1973 1989 2015 1985 2011
## [393] 2003 1999 1989 1991 2001 1996 2014 2007 2005 2005 2007 2014 2012 2012
## [407] 1979 2014 2005 2001 1975 1991 1983 2009 2014 1970 1996 2002 1999 1984
## [421] 1975 1978 2013 1975 1996 2014 2012 1953 2014 2006 1990 1995 1991 1994
## [435] 1994 2003 2003 2014 2008 2002 2010 2014 2014 2008 1990 1980 2013 2005
## [449] 2010 1990 1998 1977 1990 1984 1978 1986 1992 2013 1958 1968 2000 2011
## [463] 1999 1995 2001 1984 1985 1999 2008 2007 2003 2014 2004 1982 2004 2010
## [477] 1993 1988 2013 1985 1957 2002 2008 1991 1990 1998 2001 1989 1976 1991
## [491] 1989 2010 1996 1964 1959 1992 2013 1994 2014 1998 1984 2014 1993 1973
## [505] 2002 1960 1956 2014 1990 1991 2003 2009 1967 2007 2014 1988 2004 1986
## [519] 1998 2014 1989 2005 2003 1979 2015 2015 2004 2003 2014 1983 2012 1973
## [533] 2007 2014 1985 1980 2008 2006 1963 1968 1984 1995 1983 2003 1980 1993
## [547] 1993 1968 1997 2014 1993 2005 2007 1980 2000 1992 2000 2013 2014 1989
## [561] 2004 1980 2014 1992 1985 1983 1985 1994 2013 1999 1990 2002 1996 2006
## [575] 2003 1988 1992 1995 2003 1987 1965 1993 1995 1983 1982 2009 1985 1963
## [589] 2007 1995 2009 1968 2013 2015 2000 1983 2014 1994 2005 1994 1992 2014
## [603] 1997 1980 1998 2007 1993 1956 1986 1968 1989 1955 2009 2006 2009 1982
## [617] 2000 1967 2006 1934 1972 2014 2000 2004 1981 1997 1987 2003 1987 2003
## [631] 2012 2007 2002 2013 2000 1983 1965 2005 1990 2010 2000 2014 2012 2001
## [645] 1982 1994 1984 2005 1986 2009 2003 2007 1988 1978 1997 2014 2000 2012
## [659] 2007 2000 1953 2000 2014 1997 1982 1960 2002 2015 1944 2000 1979 2009
## [673] 1986 1993 1995 1988 2014 1977 2005 2014 1993 2007 1970 1979 2006 1985
## [687] 1989 2008 2001 2000 2000 1987 1986 1992 1986 1994 2002 1979 2006 2000
## [701] 1998 1990 2008 1987 1982 1989 1998 2011 2011 2014 2004 1976 2015 1990
## [715] 2014 1984 2009 2004 1958 1975 2014 1986 2003 2010 2005 2014 1987 2003
## [729] 1973 2013 1945 1990 1987 2000 2002 2002 2000 1991 1999 1999 2004 2002
## [743] 1970 1986 1989 1987 2014 2004 2000 2001 1960 2015 2010 1986 1988 1985
## [757] 2005 1999 2000 1994 2007 1985 2008 2002 1996 1987 2013 1982 1994 1982
## [771] 1977 1982 2009 2010 2013 2005 1965 2013 1993 2008 1992 2006 2003 2001
## [785] 2014 2014 2002 2013 2005 1964 1996 1974 1975 1972 2000 2007 2013 1996
## [799] 1994 2008 1991 1984 2009 1965 1989 1991 2007 1980 2013 2014 1998 2000
## [813] 1965 1979 2006 2009 1988 1998 2007 1984 1999 1970 2000 1986 2009 2003
## [827] 1987 1996 1993 2005 1993 1988 2003 2011 2000 2007 2012 2014 2013 2004
## [841] 1979 1968 2014 2006 1992 2007 2007 1983 2014 1958 2015 1972 1989 2006
## [855] 1999 1998 2007 2014 1995 1997 2007 1989 1986 1984 1992 1991 1984 1997
## [869] 1996 1964 1995 2014 1958 2004 1988 1990 2001 2014 2006 2003 2014 2005
## [883] 2000 1993 1997 1957 1995 2014 1994 1998 2006 2011 1970 1998 2001 2007
## [897] 1987 1946 1981 2015 2008 2012 2009 2013 1999 2013 1988 2014 2004 1960
## [911] 2006 2009 2014 2007
##
## $zipcode
## integer(0)
##
## $sqft_living15
## [1] 4760 4110 3740 3836 3890 4180 3920 4550 3860 3860 4050 4680 3930 4300
## [15] 3850 4210 3980 3920 3715 4190 4230 3890 4100 4090 3680 4100 3720 4750
## [29] 3950 5790 3890 4320 4640 3970 4600 3950 5600 3820 3950 3720 4800 3990
## [43] 3720 3860 3900 3720 4060 3910 3730 3760 3910 3770 3960 4620 4050 3860
## [57] 3730 4470 4890 3690 3680 3780 3980 3690 4240 3890 4670 4050 4350 5380
## [71] 4330 3830 5000 3680 4250 4080 4110 4190 3770 3736 4600 3980 4170 4090
## [85] 3750 3680 4630 3910 3880 4110 3960 3710 3930 4170 3721 3930 4650 4020
## [99] 3920 3900 4470 3680 3710 4240 4020 3920 4320 3770 4190 3720 4230 3960
## [113] 3950 3740 3740 3670 4080 5340 4440 3690 4690 4920 4160 3810 4480 3880
## [127] 3690 3990 4050 5790 5330 3930 3920 4010 4700 4090 3750 3930 3820 4100
## [141] 3720 3750 3880 4300 3790 3790 3710 3990 4150 4020 4340 3850 3700 3840
## [155] 4042 3850 3930 3800 3850 3850 5030 3715 4740 5070 4280 3940 4940 4770
## [169] 3880 4830 3730 3730 4080 4100 3880 5170 3800 3960 3840 3860 4190 4590
## [183] 4130 3770 3990 3970 4060 4060 3990 4140 3890 3670 3810 4010 3680 3750
## [197] 4080 4310 3910 3950 3720 4042 3790 3740 3680 4220 4300 3730 5030 4540
## [211] 4470 3700 4190 4470 3860 4200 3800 3930 3930 3850 4170 3770 3690 3750
## [225] 4240 3860 4510 3830 3720 3810 3780 4480 3740 4390 4570 3740 6110 4260
## [239] 3780 4340 4080 3890 4290 4010 3880 4560 4000 4830 3960 3980 4830 3670
## [253] 3790 4440 3750 4620 3730 3890 4010 4670 4070 3750 3680 3690 5110 4060
## [267] 3850 3670 4560 4670 3830 4130 4170 3810 4850 4290 4410 5610 3680 3850
## [281] 3780 4660 3900 3870 3920 4370 4590 4610 3960 3700 3960 3980 4050 4740
## [295] 4400 3680 4290 4950 3900 4070 4180 5500 4850 3730 3930 3860 3674 3750
## [309] 3800 3950 4210 3780 4030 3730 3740 3880 3830 4390 4440 4320 3940 4050
## [323] 4760 4280 3740 4400 3750 3840 3870 3680 3670 3930 3740 3950 3690 3930
## [337] 4750 3750 3750 3890 4930 4040 4100 4240 3710 4140 3740 4190 4520 4630
## [351] 4030 4760 4490 3760 4180 3730 4130 4040 3770 4080 3770 4410 3800 3820
## [365] 3830 4760 4913 3670 3970 4040 4770 3810 4080 3720 3800 5220 3800 3880
## [379] 3720 3860 4630 4630 4240 4050 3850 3870 4210 5790 3790 4730 3710 3720
## [393] 3920 4110 3810 3920 4020 4340 3860 3980 3760 3920 3830 3820 3920 4100
## [407] 4780 3920 4440 3670 4270 3810 3740 3920 3740 4240 4300 3810 3740 3840
## [421] 4760 4090 3910 3700 3880 4040 4010 3840 4460 3670 3810 3880 3920 5200
## [435] 3730 4160 3900 3990 4900 4210 4190 4140 4190 3940 4410 3780 4470 3760
## [449] 3760 4220 4130 4540 3730 3710 3680 4120 3920 3770 4730 4270 3940 3820
## [463] 5080 3680 4320 4590 4362 3740 3730 4420 3690 4560 4100 4420 3670 4750
## [477] 6210 4510 4290 3690 4920 3820 4290 4310 3880 3730 3730 3970 3690 4920
## [491] 3970 3726 4120 4420 4410 3960 4800 4690 3740 3760 5790 4070 4480 3920
## [505] 3700 3930 4390 4530 5790 4225 4310 4410 4130 4443 3690 4240 3940 3770
## [519] 4000 3770 4495 4080 3840 3860 4100 3710 3710 4200 4340 3820 4920 4690
## [533] 4620 3770 3690 3710 4620 4920 3860 4650 5790 3860 3990 4560
##
## $sqft_lot15
## [1] 101930 20336 30617 72513 18900 20158 38917 50529 35020
## [10] 39750 135036 35065 47777 35001 88500 19265 87991 193842
## [19] 18000 36590 35230 67268 50965 18386 20953 35096 80100
## [28] 148539 18841 36224 33450 20060 47443 49385 19508 78408
## [37] 57500 17958 35781 78408 20000 32156 19207 22654 17689
## [46] 28399 44049 21455 24361 19868 19009 27743 22357 36852
## [55] 143947 36497 18295 174240 211267 39480 21887 210394 75396
## [64] 181319 50529 178160 233971 28837 49206 104374 24728 29170
## [73] 20697 65340 107898 25346 98010 199504 165963 43560 32186
## [82] 19400 35982 38255 26324 18000 213444 34589 21567 38312
## [91] 41075 37034 23900 54885 33341 218222 34500 23680 63162
## [100] 25792 33171 36149 36906 101529 18306 18503 28826 47916
## [109] 27600 33900 213444 32417 32130 37891 19811 35160 75358
## [118] 33447 21803 217800 44431 21810 44374 220654 94960 35021
## [127] 83729 25545 27100 36728 20037 42882 40234 26788 26289
## [136] 88519 26140 34787 213879 61011 41056 18615 24640 40089
## [145] 93825 310582 37981 18512 23400 98010 18200 19350 28717
## [154] 23035 47044 24619 38307 65340 69696 36626 100545 48000
## [163] 34929 24513 37263 29680 35395 33600 38715 20000 36150
## [172] 17559 36342 21750 21937 54705 36680 22641 21132 40635
## [181] 20301 56568 22651 19210 62829 35000 42387 39683 65775
## [190] 43548 35716 120675 28353 34798 46609 213008 35604 37452
## [199] 185565 18901 54685 44131 33976 209959 425581 51400 36900
## [208] 216928 35230 43129 63823 35250 22863 128066 35104 17818
## [217] 71002 23847 173804 206736 20075 17702 41684 51400 37000
## [226] 28295 26337 49207 18260 60984 28027 40803 24079 20000
## [235] 20350 51836 85813 165528 35679 18001 35371 34398 26000
## [244] 50055 176418 39082 24700 40072 22748 33945 29620 43560
## [253] 24643 60548 18782 34326 20324 74256 23980 37525 43560
## [262] 21600 19223 29075 45738 18364 108463 34960 41631 38925
## [271] 18180 24332 29527 219106 208438 35673 73180 17699 35571
## [280] 37270 311610 48760 22000 67518 36236 19878 35072 41016
## [289] 47480 61419 218235 36549 44866 221442 35363 65340 36224
## [298] 35960 41006 60548 39133 35350 43560 23408 54014 53437
## [307] 35280 74052 27820 33955 25002 42148 18741 34637 35350
## [316] 51836 41684 247856 33880 46038 57499 40635 94960 118047
## [325] 48351 215186 19998 23274 44224 30056 45441 34000 21600
## [334] 33167 42688 108900 21988 20000 21765 220849 37766 42625
## [343] 38682 217364 51773 17788 51836 19991 50378 21679 87821
## [352] 37263 42874 26988 50965 36404 36256 38300 89298 18983
## [361] 54014 34820 35089 40000 25865 67369 18135 48787 29170
## [370] 19864 33120 35733 33750 56827 35775 29316 27586 20489
## [379] 95832 30200 40371 36180 34850 150282 39216 41275 87120
## [388] 20250 24000 109642 25067 35445 38130 217799 19800 339332
## [397] 45738 83558 49658 35248 27540 39747 34900 20500 61903
## [406] 19800 31105 28435 212137 20250 107153 43124 81698 215622
## [415] 23650 35291 21560 32700 18564 145926 233917 18630 219542
## [424] 42253 37431 434728 60080 111078 40015 17668 39630 35352
## [433] 20720 21070 22693 25449 59677 35190 33361 56192 37141
## [442] 21781 20372 36427 107157 27500 95832 18429 49222 53143
## [451] 23522 33190 65775 50094 21780 53578 165963 19249 27917
## [460] 23000 39438 48760 43560 189050 36884 28945 20580 28475
## [469] 204732 18297 21074 204296 47480 84070 47920 24090 167378
## [478] 30494 206474 20008 44866 24121 232230 217800 37703 39848
## [487] 136662 72229 98881 202554 114868 58806 24345 35991 81021
## [496] 49658 104108 28188 20009 44584 50543 20000 40946 19856
## [505] 35425 40899 55657 21214 38400 21780 35580 28800 48351
## [514] 130680 273992 45175 59241 35037 26136 27049 99316 169884
## [523] 196591 59522 36180 44224 18723 130680 47215 35200 24100
## [532] 19499 45738 56628 22356 19844 36750 36425 36400 38996
## [541] 56628 43791 188564 40523 19110 35259 97895 38370 26820
## [550] 213879 37638 37638 35273 40185 21315 56192 17853 17853
## [559] 18225 22860 217800 36290 43500 98881 25608 57934 207206
## [568] 32336 36254 20908 20359 19807 29150 109771 37887 37731
## [577] 118918 101930 55216 133419 38637 34848 32935 22124 53578
## [586] 71797 20681 19650 36677 39504 217800 26427 37304 35100
## [595] 38827 81054 54450 19626 91476 18333 31866 40334 91476
## [604] 39586 36555 178160 34983 93393 108900 89298 25542 20076
## [613] 40669 65775 37721 20270 18265 18647 43560 43705 54014
## [622] 74923 40770 88256 46769 42000 51836 21075 43453 73616
## [631] 26950 36446 223027 99316 51400 22718 37318 22180 18782
## [640] 19353 21689 35048 50543 211404 154202 52272 38119 36042
## [649] 25211 38322 19916 217800 107157 31793 35840 23798 80875
## [658] 22549 19604 77536 20000 217364 45302 17825 38472 23873
## [667] 35150 24000 69260 26950 42643 23650 42122 21837 36192
## [676] 25936 19515 123710 21107 56628 34800 36601 17809 63162
## [685] 213444 80201 36116 48352 19439 172933 17913 20000 20239
## [694] 35218 189100 34794 64033 142005 39400 87120 35021 87120
## [703] 51836 20031 17800 20160 19200 25641 18777 24293 54450
## [712] 38636 21429 35862 44431 144183 35174 28598 218235 18000
## [721] 50529 84300 36450 27068 59603 125017 20000 35700 217800
## [730] 35110 37318 20707 38556 40392 41817 41817 20000 25265
## [739] 25919 35191 26308 411962 39639 35040 21891 37194 35181
## [748] 21715 47916 36563 26147 20492 20115 54014 32040 40973
## [757] 88862 27903 24347 24967 36444 97049 38552 37920 155509
## [766] 44967 79208 38790 20562 219229 29170 46676 18872 20000
## [775] 35061 88426 18551 32700 42800 20624 28200 27442 20570
## [784] 205603 32340 19460 91040 217800 112384 36720 87991 39356
## [793] 51400 19509 108028 34848 56628 46929 25201 26372 19910
## [802] 144619 27521 217800 49222 36017 358934 25493 36284 24000
## [811] 29972 83199 18778 36200 34705 123600 35576 20908 37042
## [820] 43995 61419 18321 121097 19000 38190 35717 62291 179467
## [829] 107157 17904 54707 92423 40415 18110 48352 108900 37680
## [838] 106722 19500 30847 68825 35000 95950 21803 37457 53143
## [847] 116740 19465 38448 45738 18365 39900 34000 30000 230868
## [856] 43093 215622 23135 194676 18450 42740 35160 20000 25675
## [865] 20053 149410 36961 17826 31900 21100 26572 66647 19729
## [874] 157687 34932 35100 51400 74487 35656 25865 37901 35181
## [883] 35508 89595 21780 35998 22302 78408 59612 35847 268765
## [892] 36868 98445 207141 94663 39634 27600 18321 21796 19837
## [901] 21750 34326 192268 18364 34525 35915 45596 200811 43560
## [910] 19036 30904 32391 49222 23522 26960 23564 20023 35671
## [919] 215186 42126 26337 24941 28707 29761 210394 217800 43560
## [928] 209523 46924 123275 49223 21886 36036 21407 17859 43560
## [937] 21512 18618 48351 29375 72055 23958 46119 115434 20037
## [946] 58806 144696 21141 28400 18694 438213 40180 88426 35435
## [955] 21255 129373 42193 18287 23789 60137 326097 82764 50755
## [964] 18211 19544 40820 34589 209088 23345 17693 38332 90860
## [973] 75794 57063 216928 49658 45916 49783 21828 24979 28500
## [982] 153766 77536 208652 22922 36820 30048 29577 25875 18135
## [991] 108028 27653 42621 42689 217800 30240 31450 52707 36242
## [1000] 110597 114728 21132 25138 297514 28177 39504 45151 42500
## [1009] 108366 22475 26042 35060 29269 181708 65775 20624 19000
## [1018] 41181 36677 222156 67415 18210 101901 42730 36300 22614
## [1027] 27442 27442 102366 109468 215186 35140 22234 110206 21518
## [1036] 21814 44431 39221 213444 40609 87117 70567 51450 54014
## [1045] 97138 67082 212137 45870 55322 40091 196591 45901 54886
## [1054] 38159 24534 60548 17859 22114 28456 41553 18295 30472
## [1063] 44417 26000 32500 216057 91476 35943 25927 35711 48351
## [1072] 39066 37834 26112 68824 21743 21277 75546 36136 20000
## [1081] 23958 19530 35093 18948 871200 21111 35915 35100 19564
## [1090] 60513 18276 35657 46431 35880 49658 43676 18650 29019
## [1099] 18893 37277 45528 50094 37034 109335 35001 35181 23100
## [1108] 43357 38487 17600 19602 35166 51400 36280 29761 18843
## [1117] 36562 212137 18773 39351 32417 18525 25510 65843 145490
## [1126] 46661 19553 35416 35378 42421 51400 27295 40894 114562
## [1135] 19200 36205 26442 17628 65775 40185 42612 43995 215186
## [1144] 175421 26979 51330 48037 19290 45302 35610 44613 90604
## [1153] 18096 57428 40854 55931 20500 182509 49658 222156 17677
## [1162] 43016 43416 36590 41449 37846 41655 23680 53993 35496
## [1171] 112384 19334 37328 20114 40946 35492 22672 64468 29434
## [1180] 41313 229125 51400 128457 35190 20500 57063 84942 229996
## [1189] 32400 20267 54450 33000 50529 40450 39280 19939 42188
## [1198] 68625 34689 36989 37938 35259 110957 28260 20793 380279
## [1207] 38180 21781 21781 19119 105850 19281 70109 30290 67756
## [1216] 23058 22800 44967 35100 21052 44431 19862 102366 23000
## [1225] 54450 38325 34800 20475 20475 156816 21000 53578 35506
## [1234] 70973 35283 17916 219542 26319 66120 25209 32625 360000
## [1243] 18054 37058 17920 17920 37960 34986 23250 35427 36420
## [1252] 55321 40946 266587 61014 34190 101529 84942 35365 74487
## [1261] 40510 220849 24792 218610 33210 169549 35325 84506 20000
## [1270] 36590 80148 23273 37070 28559 157687 47480 97574 20440
## [1279] 36444 20000 32647 51400 28619 157123 35096 35894 40518
## [1288] 17652 17652 161172 22500 50529 98881 54450 18000 23958
## [1297] 29930 172062 217800 273556 34834 217800 57000 35091 39921
## [1306] 30492 40866 37301 23760 158994 121968 27201 17598 21090
## [1315] 34999 21950 220232 20400 20473 90940 33915 21673 113691
## [1324] 18151 45528 35007 24967 19329 213008 85905 35100 291416
## [1333] 31200 32057 90169 219542 59612 67019 297514 36250 27135
## [1342] 48144 35610 35237 28972 60112 19850 55527 40500 36600
## [1351] 47178 29152 53578 20680 19110 18303 325393 28300 54014
## [1360] 58127 22320 20066 37674 17771 51366 175982 28710 320890
## [1369] 36280 26071 217800 56257 28108 175111 32379 19406 20300
## [1378] 20300 19200 195395 35686 39512 18367 20723 48351 31688
## [1387] 52900 210394 35448 26673 43400 216344 217800 20500 17913
## [1396] 37680 33720 325393 25211 33305 117176 244372 46173 213879
## [1405] 34071 35772 37970 18297 41606 71560 26727 64468 35647
## [1414] 142005 35020 248292 98445 87555 215600 52272 20875 19020
## [1423] 36567 222591 217800 87300 31798 36303 24375 22047 60548
## [1432] 283140 17880 24000 183897 183897 18919 40005 105850 78843
## [1441] 19965 25040 39634 42489 43959 19855 17850 50378 42253
## [1450] 275299 40428 26720 18334 560617 209523 224334 212137 35001
## [1459] 30030 21369 37031 130244 20962 18400 20310 18469 50261
## [1468] 41040 202989 127195 187308 37026 43005 221284 148811 62290
## [1477] 36384 19950 54014 34118 43560 117612 46609 31050 35200
## [1486] 109771 35326 101494 51836 18135 22270 19709 35381 25500
## [1495] 49222 35160 23600 35675 32700 253519 43935 20220 44431
## [1504] 21010 35100 59241 53885 163350 43560 39820 24724 17749
## [1513] 74052 24911 49346 59346 19467 169884 20809 47480 17859
## [1522] 20000 102801 35370 84070 67756 42565 23066 39900 30691
## [1531] 217800 24190 17927 71874 18151 19457 22600 21420 89298
## [1540] 33450 84936 84936 62290 213008 217800 22270 37206 49658
## [1549] 35000 19687 27418 57140 23522 26319 37565 22687 40115
## [1558] 211266 24008 87120 87120 30280 43560 20160 51376 19604
## [1567] 40500 20486 81021 38186 70973 20000 39498 49658 34713
## [1576] 21876 21167 35001 41632 34412 26720 22979 29362 48351
## [1585] 46960 32070 23598 18889 298182 40835 108900 29985 31100
## [1594] 24602 222156 19250 215622 21886 26321 68824 34412 206038
## [1603] 44315 69696 17668 43583 40510 32130 20504 92782 19831
## [1612] 41416 17643 22000 263492 26386 21600 43995 168141 71002
## [1621] 187308 19663 22597 35910 55333 17888 28250 31760 54806
## [1630] 30847 23280 19908 20271 41384 21485 21673 18628 35252
## [1639] 20624 18336 26023 20897 24501 128066 21094 52707 35160
## [1648] 29250 34613 63162 20330 32362 79714 42180 46762 35880
## [1657] 25582 217790 36590 17859 82328 20000 217800 22750 34460
## [1666] 22400 36074 54672 49495 47044 22499 54193 19961 73616
## [1675] 43676 21850 19354 46609 108900 36386 18352 103237 335289
## [1684] 75794 112820 104544 33880 42803 186846 43560 228690 31331
## [1693] 392040 214315 18831 49500 21798 24338 24274 37523 19257
## [1702] 98000 54088 32799 33541 20140 21075 17633 96703 35807
## [1711] 27153 45738 17906 21600 46951 22185 17998 19688 18401
## [1720] 217800 17584 86248 92007 39614 211266 38061 62059 19684
## [1729] 22620 50094 19809 42665 30277 52707 17664 17909 40250
## [1738] 21343 40091 35171 18521 44634 19597 91911 26386 111078
## [1747] 35440 19180 19964 100623 37376 18530 37731 20666 19855
## [1756] 35070 39714 23135 19541 210830 35329 19602 48706 35910
## [1765] 28295 19840 43560 46765 25369 45302 22247 91040 38827
## [1774] 74191 27110 26287 20059 54450 40860 24925 47462 22486
## [1783] 39045 17707 18282 45657 19998 89298 54520 20612 36184
## [1792] 25346 20000 92747 44431 20279 17700 45302 35617 35100
## [1801] 35633 39292 101494 27194 44907 22499 19845 29649 41454
## [1810] 18047 33656 117612 49658 20720 72337 43500 39250 24751
## [1819] 23497 144619 48787 51170 67082 43401 19910 36036 41221
## [1828] 21420 22605 36558 21781 44866 217800 21485 21618 27003
## [1837] 72309 22393 42847 39299 208652 17820 24338 28200 19036
## [1846] 18750 18480 41433 36460 199069 217800 25120 20409 19862
## [1855] 49044 50094 19863 36740 34284 120225 36680 215186 22474
## [1864] 18000 24225 26400 189100 17853 43995 30500 87120 38896
## [1873] 18581 198414 53024 43560 37500 37531 20176 20098 60351
## [1882] 101930 18163 137649 84000 22001 53578 34280 21656 25000
## [1891] 38045 18240 22954 26723 216057 43560 50481 184694 42173
## [1900] 43560 386812 223463 220413 26400 102366 28250 125017 41965
## [1909] 22387 19000 110957 203425 35290 65340 35860 43560 43560
## [1918] 56628 289978 40427 24960 83635 60548 26023 20360 49222
## [1927] 29859 26809 40371 19810 25343 99316 38638 115434 35190
## [1936] 18295 39413 18730 33305 19447 19166 64069 32109 34992
## [1945] 20000 18752 155073 219106 44866 22748 36823 49222 43301
## [1954] 17825 131116 30401 207781 35230 55321 223027 19965 49658
## [1963] 18077 29625 184694 18116 31762 57857 68824 41382 24875
## [1972] 18969 114998 213444 66022 112384 20800 29621 36962 35074
## [1981] 224341 18019 217800 64033 18786 20674 35000 17595 36820
## [1990] 49658 40510 53628 23400 35532 24463 29918 19281 62290
## [1999] 34500 75794 37457 51836 87117 19884 44431 133729 29150
## [2008] 34417 20741 43560 69260 32181 70131 59677 32688 22325
## [2017] 38600 44287 45789 20747 19134 125452 21780 50690 217800
## [2026] 35244 39340 56628 20048 103672 54450 35719 46173 104108
## [2035] 107153 27940 18782 111949 41241 39413 40511 35440 18540
## [2044] 44866 104979 27338 39639 45302 25500 92782 19822 43561
## [2053] 41210 35200 219542 21344 30192 111513 35005 35124 55321
## [2062] 19352 17600 422967 45000 40107 60548 215622 49658 42253
## [2071] 29004 42224 22069 21344 37034 57499 19250 25788 55023
## [2080] 217800 34200 36384 29279 26027 32647 18713 22077 40500
## [2089] 37804 69696 35366 62726 68825 22326 35926 22850 24506
## [2098] 108900 22257 183161 18975 18000 63162 24751 24913 107076
## [2107] 125017 31294 39413 21503 93654 19500 35285 19613 24527
## [2116] 18000 18452 34575 48787 95832 108900 54014 35735 54450
## [2125] 74052 64626 38211 56628 24393 82764 218671 64441 32362
## [2134] 59241 260924 27520 19929 23774 224770 19030 71874 200527
## [2143] 40545 858132 33580 105415 44866 30950 18900 43103 207781
## [2152] 29279 72745 27251 18110 220654 51721 120686 87476 94403
## [2161] 21600 20502 25447 69993 20152 19250 36859 208652 27520
## [2170] 32374 26336 19030 21569 111274 18200 292645 35033 48181
## [2179] 256803 217800 109771 59346 392040 28800 23142 35857 131007
## [2188] 46609 44890 74052 107498 50447 151081 18270plotgraph <- function(inp, na.rm=TRUE) {
mpgPlot <- ggplot(dfrModel, aes(x="", y=inp)) +
geom_boxplot(aes(fill=inp), color="purple") +
labs(title="House Price Outliers")
mpgPlot
}lapply(dfrModel, FUN=plotgraph)## $price
##
## $bedrooms
##
## $bathrooms
##
## $sqft_living
##
## $sqft_lot
##
## $floors
##
## $waterfront
##
## $view
##
## $condition
##
## $grade
##
## $sqft_above
##
## $sqft_basement
##
## $yr_built
##
## $yr_renovated
##
## $zipcode
##
## $sqft_living15
##
## $sqft_lot15
Observation
Outliers present in many features.
But Outlier count is low.
For this model we will work with the outliers.
head(dfrModel)## price bedrooms bathrooms sqft_living sqft_lot floors waterfront view
## 1 221900 3 1.00 1180 5650 1 0 0
## 2 538000 3 2.25 2570 7242 2 0 0
## 3 180000 2 1.00 770 10000 1 0 0
## 4 604000 4 3.00 1960 5000 1 0 0
## 5 510000 3 2.00 1680 8080 1 0 0
## 6 1225000 4 4.50 5420 101930 1 0 0
## condition grade sqft_above sqft_basement yr_built yr_renovated zipcode
## 1 3 7 1180 0 1955 0 98178
## 2 3 7 2170 400 1951 1991 98125
## 3 3 6 770 0 1933 0 98028
## 4 5 7 1050 910 1965 0 98136
## 5 3 8 1680 0 1987 0 98074
## 6 3 11 3890 1530 2001 0 98053
## sqft_living15 sqft_lot15
## 1 1340 5650
## 2 1690 7639
## 3 2720 8062
## 4 1360 5000
## 5 1800 7503
## 6 4760 101930Observation
Here we see that many predictor variables numeric categoric variable. We should convert these to factor variables
Correlation
vctCorr = numeric(0)
for (i in names(dfrModel)){
cor.result <- cor(dfrModel$price, as.numeric(dfrModel[,i]))
vctCorr <- c(vctCorr, cor.result)
}
dfrCorr <- vctCorr
names(dfrCorr) <- names(dfrModel)
dfrCorr## price bedrooms bathrooms sqft_living sqft_lot
## 1.00000000 0.30834960 0.52513750 0.70203505 0.08966086
## floors waterfront view condition grade
## 0.25679388 0.26636943 0.39729349 0.03636179 0.66743425
## sqft_above sqft_basement yr_built yr_renovated zipcode
## 0.60556730 0.32381602 0.05401153 0.12643379 -0.05320285
## sqft_living15 sqft_lot15
## 0.58537890 0.08244715Visualize
dfrGraph <- gather(dfrModel, variable, value, -price)
head(dfrGraph)## price variable value
## 1 221900 bedrooms 3
## 2 538000 bedrooms 3
## 3 180000 bedrooms 2
## 4 604000 bedrooms 4
## 5 510000 bedrooms 3
## 6 1225000 bedrooms 4ggplot(dfrGraph) +
geom_jitter(aes(value,price, colour=variable)) + # creates scatter plot
geom_smooth(aes(value,price, colour=variable), method=lm, se=FALSE) + # line gets drawn
facet_wrap(~variable, scales="free_x") +
labs(title="Relation Of Price With Other Features")
Observation
There is some impact of all the features with price.
stpModel=step(lm(data=dfrModel, price~.), trace=0, steps=10000)
stpSummary <- summary(stpModel)
stpSummary ##
## Call:
## lm(formula = price ~ bedrooms + bathrooms + sqft_living + floors +
## waterfront + view + condition + grade + yr_built + yr_renovated +
## sqft_living15 + sqft_lot15, data = dfrModel)
##
## Residuals:
## Min 1Q Median 3Q Max
## -1344100 -109559 -10735 90092 4287445
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) 6.216e+06 1.376e+05 45.165 < 2e-16 ***
## bedrooms -3.930e+04 2.026e+03 -19.399 < 2e-16 ***
## bathrooms 4.653e+04 3.445e+03 13.509 < 2e-16 ***
## sqft_living 1.629e+02 3.574e+00 45.575 < 2e-16 ***
## floors 2.471e+04 3.435e+03 7.193 6.56e-13 ***
## waterfront 5.782e+05 1.862e+04 31.048 < 2e-16 ***
## view 4.380e+04 2.234e+03 19.604 < 2e-16 ***
## condition 1.972e+04 2.492e+03 7.911 2.68e-15 ***
## grade 1.194e+05 2.239e+03 53.347 < 2e-16 ***
## yr_built -3.579e+03 7.067e+01 -50.644 < 2e-16 ***
## yr_renovated 1.011e+01 3.914e+00 2.584 0.00976 **
## sqft_living15 2.392e+01 3.527e+00 6.782 1.22e-11 ***
## sqft_lot15 -5.603e-01 5.556e-02 -10.086 < 2e-16 ***
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 216100 on 21600 degrees of freedom
## Multiple R-squared: 0.6537, Adjusted R-squared: 0.6535
## F-statistic: 3398 on 12 and 21600 DF, p-value: < 2.2e-16Observation
Best results given by price : -bedrooms -bathrooms -sqft_living -floors -waterfront -view -condition -grade -yr_built -yr_renovated -sqft_living15 -sqft_lot15 These 12 variabes are importatnt ones
Make Final Multi Linear Model
x2 <- dfrModel$bedrooms
x3 <- dfrModel$bathrooms
x5 <- dfrModel$sqft_living
x7 <- dfrModel$floors
x8 <- dfrModel$waterfront
x9 <- dfrModel$view
x10 <- dfrModel$condition
x11 <- dfrModel$grade
x13 <- dfrModel$yr_built
x14 <- dfrModel$yr_renovated
x18 <- dfrModel$sqft_living15
x19 <- dfrModel$sqft_lot15
y <- dfrModel$price
mlModel <- lm(y~x2+x3+x5+x7+x8+x9+x10+x11+x13+x14+x18+x19)Observation
No errors. Model successfully created.
Show Model
# print summary
summary(mlModel)##
## Call:
## lm(formula = y ~ x2 + x3 + x5 + x7 + x8 + x9 + x10 + x11 + x13 +
## x14 + x18 + x19)
##
## Residuals:
## Min 1Q Median 3Q Max
## -1344100 -109559 -10735 90092 4287445
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) 6.216e+06 1.376e+05 45.165 < 2e-16 ***
## x2 -3.930e+04 2.026e+03 -19.399 < 2e-16 ***
## x3 4.653e+04 3.445e+03 13.509 < 2e-16 ***
## x5 1.629e+02 3.574e+00 45.575 < 2e-16 ***
## x7 2.471e+04 3.435e+03 7.193 6.56e-13 ***
## x8 5.782e+05 1.862e+04 31.048 < 2e-16 ***
## x9 4.380e+04 2.234e+03 19.604 < 2e-16 ***
## x10 1.972e+04 2.492e+03 7.911 2.68e-15 ***
## x11 1.194e+05 2.239e+03 53.347 < 2e-16 ***
## x13 -3.579e+03 7.067e+01 -50.644 < 2e-16 ***
## x14 1.011e+01 3.914e+00 2.584 0.00976 **
## x18 2.392e+01 3.527e+00 6.782 1.22e-11 ***
## x19 -5.603e-01 5.556e-02 -10.086 < 2e-16 ***
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 216100 on 21600 degrees of freedom
## Multiple R-squared: 0.6537, Adjusted R-squared: 0.6535
## F-statistic: 3398 on 12 and 21600 DF, p-value: < 2.2e-16Test Data
dfrTest <- data.frame(x2=c(2.5),
x3=c(2.0),
x5=c(6560),
x7=c(1),
x8=c(1),
x9=c(0),
x10=c(3),
x11=c(7),
x12=c(6560),
x13=c(1975),
x14=c(0),
x19=c(5650),
x18=c(1340)
)
dfrTest ## x2 x3 x5 x7 x8 x9 x10 x11 x12 x13 x14 x19 x18
## 1 2.5 2 6560 1 1 0 3 7 6560 1975 0 5650 1340Observation
Test Data successfully created.
Predict
result <- predict(mlModel, dfrTest)
print(result)## 1
## 1736919