Assignment2
Sabhar Jain
24 July 2017
Setup
library(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)
library(plotROC)## Warning: package 'plotROC' was built under R version 3.3.3library(tidyr)## Warning: package 'tidyr' was built under R version 3.3.3library(corrgram)## Warning: package 'corrgram' was built under R version 3.3.3library(gridExtra) ## Warning: package 'gridExtra' was built under R version 3.3.3##
## Attaching package: 'gridExtra'## The following object is masked from 'package:dplyr':
##
## combineDataset
dfrModel <- read.csv("C:/Users/sabharjain/Desktop/machine learning/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 101930Functions
Dropping certain columns
dfrModel <- select(dfrModel, -c(date))
head(dfrModel)## id price bedrooms bathrooms sqft_living sqft_lot floors
## 1 7129300520 221900 3 1.00 1180 5650 1
## 2 6414100192 538000 3 2.25 2570 7242 2
## 3 5631500400 180000 2 1.00 770 10000 1
## 4 2487200875 604000 4 3.00 1960 5000 1
## 5 1954400510 510000 3 2.00 1680 8080 1
## 6 7237550310 1225000 4 4.50 5420 101930 1
## waterfront view condition grade sqft_above sqft_basement yr_built
## 1 0 0 3 7 1180 0 1955
## 2 0 0 3 7 2170 400 1951
## 3 0 0 3 6 770 0 1933
## 4 0 0 5 7 1050 910 1965
## 5 0 0 3 8 1680 0 1987
## 6 0 0 3 11 3890 1530 2001
## yr_renovated zipcode lat long sqft_living15 sqft_lot15
## 1 0 98178 47.5112 -122.257 1340 5650
## 2 1991 98125 47.7210 -122.319 1690 7639
## 3 0 98028 47.7379 -122.233 2720 8062
## 4 0 98136 47.5208 -122.393 1360 5000
## 5 0 98074 47.6168 -122.045 1800 7503
## 6 0 98053 47.6561 -122.005 4760 101930Here, some columns such as Id and Location Cordinates need to be dropped as these are irrelevant while preddicting price of a house
dfrModel <- select(dfrModel, -c(id))
dfrModel <- select(dfrModel, -c(lat))
dfrModel <- select(dfrModel, -c(long))
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
##
## $sqft_lot15
## Min. 1st Qu. Median Mean 3rd Qu. Max.
## 651 5100 7620 12770 10080 871200#detect_outliers(dfrModel$mpg)
#detect_outliers(dfrModel$wt)
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) {
housePlot <- ggplot(dfrModel, aes(x="", y=inp)) +
geom_boxplot(aes(fill=inp), color="blue") +
labs(title="House Price Outliers")
housePlot
}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
##
## $sqft_lot15
vctCorr = numeric(0)
for (i in names(dfrModel)){
cor.result <- cor(dfrModel$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 0.08244715Observation
As the correlation between Price and many columns is too weak for consideration.
Visualize
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="Price variation w.r.t. Other Features")
#?step()
## internally regression carried out by r using steps and sees what is the best and gives that value as final result.
## all seem correlated thus use r to decide what is significant
##mpg~. means that column vs all other columns
## trace = 0 means start from 0 ; steps= means 100 times usually no. columns x no. of columns; do this for better accuracy
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 Here, the P- value is much less than 0.05, hence we accept this model. Now as per this model, the factors shown relevant for price here are as follows: 1. Bedrooms
2. Bathrooms
3. Sqft_living
4. Grade
5. Sqft_above
** Final Multi-Linear Model**
x1 <- dfrModel$bedrooms
x2 <- dfrModel$bathrooms
x3 <- dfrModel$sqft_living
x4 <- dfrModel$grade
x5 <- dfrModel$sqft_above
y <- dfrModel$price
mmModel <- lm(y~x1+x2+x3+x4+x5)
y <- dfrModel$price
# y is dependent, x1+x2+x3 indicates this columnx1 and this column x2 and this column x3Show Model
# print summary
summary(mmModel)##
## Call:
## lm(formula = y ~ x1 + x2 + x3 + x4 + x5)
##
## Residuals:
## Min 1Q Median 3Q Max
## -1075800 -132368 -23439 95613 4605775
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) -5.286e+05 1.504e+04 -35.148 < 2e-16 ***
## x1 -4.064e+04 2.275e+03 -17.865 < 2e-16 ***
## x2 -2.529e+04 3.455e+03 -7.319 2.59e-13 ***
## x3 2.783e+02 4.552e+00 61.132 < 2e-16 ***
## x4 1.074e+05 2.381e+03 45.114 < 2e-16 ***
## x5 -7.941e+01 4.382e+00 -18.120 < 2e-16 ***
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 246300 on 21607 degrees of freedom
## Multiple R-squared: 0.5502, Adjusted R-squared: 0.5501
## F-statistic: 5286 on 5 and 21607 DF, p-value: < 2.2e-16Test Data
dfrTest <- data.frame(
x1=c(2.0),
x2=c(3.0),
x3=c(1200),
x4=c(10),
x5=c(4000)
)
dfrTest ## x1 x2 x3 x4 x5
## 1 2 3 1200 10 4000Predict
result <- predict(mmModel, dfrTest)
print(result)## 1
## 404601.5** Observation **
Thus, the price of House is predicted as above by entering the input values for factors as calucalted by the model