response_df <- read.csv("response_id-1.csv", header = TRUE, stringsAsFactors=FALSE)
# response_df[is.na(response_df)] <- 0
test_df <- read.csv("test_reg_features-1.csv", header = TRUE, stringsAsFactors=FALSE)
# test_df[is.na(test_df)] <- 0
train_df <- read.csv("train_reg_features-1.csv", header = TRUE, stringsAsFactors=FALSE)
# train_df[is.na(train_df)] <- 0

# Installing and Requiring all necessary packages 

libs <- c("dplyr", "ggplot2", "yardstick", "e1071", "randomForest", "caret", "ggpubr", "MASS", "boot", "tidyr")

installed_packages <- libs %in% rownames(installed.packages())
if (any(installed_packages == FALSE)) {
  install.packages(libs[!installed_packages])
}


# Packages loading
invisible(lapply(libs, library, character.only = TRUE))

# Data Cleaning and merging
test_df <- test_df %>% replace_na(list(MSZoning = 'None', Street = 'None', Alley = 'None', LotShape = 'None',
                                       LandContour = 'None', Utilities = 'None', LotConfig = 'None',
                                       LandSlope = 'None', Neighborhood = 'None', Condition1 = 'None',
                                       Condition2 = 'None', BldgType = 'None', HouseStyle = 'None',
                                       RoofStyle = 'None', RoofMatl = 'None', Exterior1st = 'None',
                                       Exterior2nd = 'None', MasVnrType = 'None', ExterQual = 'None',
                                       ExterCond = 'None', Foundation = 'None', BsmtQual = 'None',
                                       BsmtCond = 'None', BsmtExposure = 'None', BsmtFinType1 = 'None',
                                       BsmtFinType2 = 'None', Heating = 'None', HeatingQC = 'None',
                                       CentralAir = 'N', Electrical = 'None', KitchenQual = 'None',
                                       Functional = 'None', FireplaceQu = 'None', GarageType = 'None',
                                       GarageFinish = 'None', GarageFinish = 'None', GarageQual = 'None',
                                       GarageCond = 'None', PavedDrive = 'N', PoolQC = 'None',
                                       Fence = 'None', MiscFeature = 'None', SaleType = 'None')) 
train_df <- train_df %>% replace_na(list(MSZoning = 'None', Street = 'None', Alley = 'None', LotShape = 'None',
                                       LandContour = 'None', Utilities = 'None', LotConfig = 'None',
                                       LandSlope = 'None', Neighborhood = 'None', Condition1 = 'None',
                                       Condition2 = 'None', BldgType = 'None', HouseStyle = 'None',
                                       RoofStyle = 'None', RoofMatl = 'None', Exterior1st = 'None',
                                       Exterior2nd = 'None', MasVnrType = 'None', ExterQual = 'None',
                                       ExterCond = 'None', Foundation = 'None', BsmtQual = 'None',
                                       BsmtCond = 'None', BsmtExposure = 'None', BsmtFinType1 = 'None',
                                       BsmtFinType2 = 'None', Heating = 'None', HeatingQC = 'None',
                                       CentralAir = 'N', Electrical = 'None', KitchenQual = 'None',
                                       Functional = 'None', FireplaceQu = 'None', GarageType = 'None',
                                       GarageFinish = 'None', GarageFinish = 'None', GarageQual = 'None',
                                       GarageCond = 'None', PavedDrive = 'N', PoolQC = 'None',
                                       Fence = 'None', MiscFeature = 'None', SaleType = 'None'))
# convert to factors
train_df <- train_df %>%
  mutate_if(sapply(train_df, is.character), as.factor)
test_df <- test_df %>%
  mutate_if(sapply(test_df, is.character), as.factor)

train_df <- train_df %>%
  filter(RoofMatl != "ClyTile", RoofMatl != "Membran", RoofMatl != "Metal", RoofMatl != "Roll") %>%
  droplevels(train_df$RoofMatl) %>%
  filter(Functional != "Sev", Functional != "None") %>% 
  droplevels(train_df$Functional) %>%
  filter(Condition2 != "RRAe", Condition2 !=  "RRNn", Condition2 != "RRAn") %>%
  droplevels(train_df$Condition2) %>%
  filter(Heating != "Floor", Heating != "OthW") %>% 
  droplevels(train_df$Heating) %>%
  filter(Exterior2nd != "Other", Exterior2nd != "CBlock") %>%
  droplevels(train_df$Exterior2nd) %>%
  filter(Exterior1st != "AsphShn", 
         Exterior1st != "CBlock", Exterior1st !=  "ImStucc",
         Exterior1st != "Stone", Exterior1st != "None") %>%
  droplevels(train_df$Exterior1st) %>%
  filter( Electrical != "Mix") %>%
  droplevels(train_df$Electrical)

test_df <- test_df %>%
  filter(RoofMatl != "ClyTile", RoofMatl != "Membran", RoofMatl != "Metal", RoofMatl != "Roll") %>%
  droplevels(test_df$RoofMatl) %>%
  filter(Functional != "Sev", Functional != "None") %>% 
  droplevels(test_df$Functional) %>%
  filter(Condition2 != "RRAe", Condition2 !=  "RRNn", Condition2 != "RRAn") %>%
  droplevels(test_df$Condition2) %>%
  filter(Heating != "Floor", Heating != "OthW") %>% 
  droplevels(test_df$Heating) %>%
  filter(Exterior2nd != "Other", Exterior2nd != "CBlock") %>%
  droplevels(test_df$Exterior2nd) %>%
  filter(Exterior1st != "AsphShn", 
         Exterior1st != "CBlock", Exterior1st !=  "ImStucc",
         Exterior1st != "Stone", Exterior1st != "None") %>%
  droplevels(test_df$Exterior1st) %>%
  filter( Electrical != "Mix") %>%
  droplevels(test_df$Electrical)

Total df was changed to include training data and response data. A new data frame was made for response variable so that sales prices corresponded to the training ID column, but did not replace the original data so that we can use the original later for predictions.

# Merge
response_df_new <- response_df
response_df_new$Id <- 1:1459
total <- merge(response_df_new, train_df, by="Id")
total$SalePrice <- log(total$SalePrice.x)

SalesPrice for total is now SalesPrice.x, this was a default by R since it ws being used in other data frames as well.

model5 = lm(SalePrice.x ~ Functional + LotArea + BldgType + HouseStyle + OverallQual +
              Exterior1st + Exterior2nd + BsmtQual + BedroomAbvGr + MoSold + YrSold +
              Neighborhood + Foundation, data=total)
summary(model5)
## 
## Call:
## lm(formula = SalePrice.x ~ Functional + LotArea + BldgType + 
##     HouseStyle + OverallQual + Exterior1st + Exterior2nd + BsmtQual + 
##     BedroomAbvGr + MoSold + YrSold + Neighborhood + Foundation, 
##     data = total)
## 
## Residuals:
##    Min     1Q Median     3Q    Max 
## -44485 -10582     89   8280  97875 
## 
## Coefficients:
##                       Estimate Std. Error t value Pr(>|t|)   
## (Intercept)          9.209e+04  6.887e+05   0.134  0.89364   
## FunctionalMaj2      -1.520e+04  9.841e+03  -1.545  0.12265   
## FunctionalMin1      -2.604e+03  5.671e+03  -0.459  0.64619   
## FunctionalMin2      -7.676e+03  5.592e+03  -1.373  0.17011   
## FunctionalMod       -1.838e+03  6.753e+03  -0.272  0.78551   
## FunctionalTyp       -7.363e+03  4.713e+03  -1.562  0.11844   
## LotArea              4.085e-02  5.173e-02   0.790  0.42990   
## BldgType2fmCon      -3.254e+03  3.259e+03  -0.998  0.31830   
## BldgTypeDuplex       4.731e+03  2.842e+03   1.665  0.09624 . 
## BldgTypeTwnhs       -4.970e+01  3.582e+03  -0.014  0.98893   
## BldgTypeTwnhsE       4.859e+02  2.280e+03   0.213  0.83127   
## HouseStyle1.5Unf    -4.755e+03  4.819e+03  -0.987  0.32390   
## HouseStyle1Story    -4.983e+02  1.799e+03  -0.277  0.78180   
## HouseStyle2.5Fin     3.374e+03  6.405e+03   0.527  0.59845   
## HouseStyle2.5Unf     2.938e+02  5.658e+03   0.052  0.95859   
## HouseStyle2Story    -1.386e+03  1.876e+03  -0.739  0.46025   
## HouseStyleSFoyer    -9.292e+03  3.548e+03  -2.619  0.00892 **
## HouseStyleSLvl      -1.002e+03  2.762e+03  -0.363  0.71680   
## OverallQual         -3.615e+02  5.547e+02  -0.652  0.51468   
## Exterior1stBrkComm   4.339e+03  1.845e+04   0.235  0.81407   
## Exterior1stBrkFace   3.180e+03  8.034e+03   0.396  0.69229   
## Exterior1stCemntBd  -8.164e+03  1.259e+04  -0.649  0.51669   
## Exterior1stHdBoard   3.896e+03  8.083e+03   0.482  0.62987   
## Exterior1stMetalSd   1.134e+04  9.338e+03   1.214  0.22487   
## Exterior1stPlywood   5.600e+03  7.942e+03   0.705  0.48088   
## Exterior1stStucco    1.357e+03  8.881e+03   0.153  0.87861   
## Exterior1stVinylSd   6.278e+03  8.451e+03   0.743  0.45769   
## Exterior1stWd Sdng   5.358e+03  7.735e+03   0.693  0.48860   
## Exterior1stWdShing   1.140e+04  8.386e+03   1.359  0.17443   
## Exterior2ndAsphShn   1.729e+03  1.439e+04   0.120  0.90441   
## Exterior2ndBrk Cmn   1.946e+03  1.377e+04   0.141  0.88761   
## Exterior2ndBrkFace   3.059e+03  8.650e+03   0.354  0.72363   
## Exterior2ndCmentBd   9.423e+03  1.263e+04   0.746  0.45583   
## Exterior2ndHdBoard   1.923e+03  8.033e+03   0.239  0.81081   
## Exterior2ndImStucc  -9.445e+03  9.406e+03  -1.004  0.31547   
## Exterior2ndMetalSd  -6.904e+03  9.354e+03  -0.738  0.46057   
## Exterior2ndPlywood  -1.529e+03  7.720e+03  -0.198  0.84305   
## Exterior2ndStone     8.174e+03  1.162e+04   0.703  0.48188   
## Exterior2ndStucco    5.295e+03  8.798e+03   0.602  0.54735   
## Exterior2ndVinylSd  -1.483e+03  8.377e+03  -0.177  0.85953   
## Exterior2ndWd Sdng  -1.044e+03  7.717e+03  -0.135  0.89237   
## Exterior2ndWd Shng  -4.085e+03  8.075e+03  -0.506  0.61307   
## BsmtQualFa          -6.381e+03  3.984e+03  -1.601  0.10951   
## BsmtQualGd          -4.375e+03  2.061e+03  -2.123  0.03395 * 
## BsmtQualNone        -9.041e+03  5.848e+03  -1.546  0.12236   
## BsmtQualTA          -3.546e+03  2.563e+03  -1.383  0.16676   
## BedroomAbvGr        -7.641e+01  7.309e+02  -0.105  0.91675   
## MoSold               1.952e+02  1.686e+02   1.157  0.24734   
## YrSold               5.147e+01  3.430e+02   0.150  0.88075   
## NeighborhoodBlueste -1.011e+04  1.278e+04  -0.791  0.42894   
## NeighborhoodBrDale  -4.326e+03  6.841e+03  -0.632  0.52731   
## NeighborhoodBrkSide -4.255e+03  5.508e+03  -0.772  0.44000   
## NeighborhoodClearCr -9.638e+03  5.934e+03  -1.624  0.10457   
## NeighborhoodCollgCr -6.874e+03  4.684e+03  -1.468  0.14241   
## NeighborhoodCrawfor -5.869e+03  5.345e+03  -1.098  0.27236   
## NeighborhoodEdwards -5.682e+03  5.067e+03  -1.121  0.26239   
## NeighborhoodGilbert -6.410e+03  5.003e+03  -1.281  0.20037   
## NeighborhoodIDOTRR  -9.541e+03  5.741e+03  -1.662  0.09677 . 
## NeighborhoodMeadowV -3.797e+03  6.939e+03  -0.547  0.58428   
## NeighborhoodMitchel -8.053e+03  5.236e+03  -1.538  0.12423   
## NeighborhoodNAmes   -6.149e+03  4.965e+03  -1.238  0.21582   
## NeighborhoodNoRidge -3.053e+03  5.358e+03  -0.570  0.56889   
## NeighborhoodNPkVill -7.212e+03  9.588e+03  -0.752  0.45209   
## NeighborhoodNridgHt -7.350e+03  4.832e+03  -1.521  0.12843   
## NeighborhoodNWAmes  -2.473e+03  5.173e+03  -0.478  0.63261   
## NeighborhoodOldTown -9.710e+03  5.225e+03  -1.858  0.06333 . 
## NeighborhoodSawyer  -5.522e+03  5.222e+03  -1.057  0.29052   
## NeighborhoodSawyerW -6.238e+03  5.067e+03  -1.231  0.21854   
## NeighborhoodSomerst -6.570e+03  4.758e+03  -1.381  0.16758   
## NeighborhoodStoneBr -6.746e+03  5.516e+03  -1.223  0.22155   
## NeighborhoodSWISU   -8.597e+03  6.101e+03  -1.409  0.15905   
## NeighborhoodTimber  -6.290e+03  5.390e+03  -1.167  0.24343   
## NeighborhoodVeenker -1.363e+03  6.869e+03  -0.198  0.84276   
## FoundationCBlock    -2.985e+03  2.002e+03  -1.491  0.13610   
## FoundationPConc     -1.336e+03  2.180e+03  -0.613  0.54007   
## FoundationSlab      -2.048e+03  6.590e+03  -0.311  0.75601   
## FoundationStone      6.063e+03  7.110e+03   0.853  0.39398   
## FoundationWood      -9.074e+03  9.978e+03  -0.909  0.36328   
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 16630 on 1362 degrees of freedom
## Multiple R-squared:  0.0479, Adjusted R-squared:  -0.005922 
## F-statistic:  0.89 on 77 and 1362 DF,  p-value: 0.7394

training model still uses training df.

train_model <- lm(SalePrice ~ Functional + BldgType + HouseStyle + OverallQual + BsmtFinType1 + 
                    Exterior1st + Exterior2nd + ExterQual + BsmtQual + BedroomAbvGr + MoSold + YrSold +
                    Neighborhood + Foundation, data=train_df)
predictions <- predict(train_model, test_df)
## Warning in predict.lm(train_model, test_df): prediction from a rank-deficient
## fit may be misleading
# predictions
predictions <- as.data.frame(predictions)
vec <- c(1461:2911)
predictions$Id <- vec 
predict_v_response <- merge(predictions, response_df, by="Id")
predict_v_response
##        Id predictions SalePrice
## 1    1461   122037.98  169277.1
## 2    1462   158521.43  187758.4
## 3    1463   162059.20  183583.7
## 4    1464   174742.25  179317.5
## 5    1465   244362.51  150730.1
## 6    1466   157283.51  177151.0
## 7    1467   166571.35  172070.7
## 8    1468   162031.40  175111.0
## 9    1469   187840.41  162011.7
## 10   1470   120527.52  160726.2
## 11   1471   154967.89  157933.3
## 12   1472   100528.11  145291.2
## 13   1473    84127.24  159672.0
## 14   1474   138378.54  164167.5
## 15   1475   137802.16  150891.6
## 16   1476   386272.75  179461.0
## 17   1477   259884.90  185034.6
## 18   1478   352654.25  182352.2
## 19   1479   339240.66  183053.5
## 20   1480   398350.51  187823.3
## 21   1481   290578.19  186544.1
## 22   1482   229047.63  158230.8
## 23   1483   167918.40  190552.8
## 24   1484   192180.89  147183.7
## 25   1485   207842.16  185855.3
## 26   1486   198237.51  174350.5
## 27   1487   360405.59  201740.6
## 28   1488   221425.39  162986.4
## 29   1489   198855.35  162330.2
## 30   1490   245445.49  165845.9
## 31   1491   202104.08  180929.6
## 32   1492   108795.40  163481.5
## 33   1493   170534.18  187798.1
## 34   1494   342131.54  198822.2
## 35   1495   328229.46  194868.4
## 36   1496   222360.19  152605.3
## 37   1497   161416.73  147797.7
## 38   1498   182854.18  150522.0
## 39   1499   174900.45  146991.6
## 40   1500   150719.80  150306.3
## 41   1501   159591.38  151164.4
## 42   1502   181936.32  151133.7
## 43   1503   292880.10  156214.0
## 44   1504   259326.98  171992.8
## 45   1505   227968.74  173214.9
## 46   1506   172762.29  192429.2
## 47   1507   195697.16  190878.7
## 48   1508   179195.27  194542.5
## 49   1509   181308.91  191849.4
## 50   1510   129592.66  176363.8
## 51   1511   137376.61  176954.2
## 52   1512   136462.86  176521.2
## 53   1513   133672.01  179436.7
## 54   1514   142324.82  220079.8
## 55   1515   150414.30  175502.9
## 56   1516   157789.72  188321.1
## 57   1517   145558.72  163276.3
## 58   1518   113626.76  185911.4
## 59   1519   209909.78  171392.8
## 60   1520   133868.66  174418.2
## 61   1521   129471.39  179682.7
## 62   1522   151022.34  179423.8
## 63   1523   101726.32  171756.9
## 64   1524   109088.24  166849.6
## 65   1525   129125.01  181122.2
## 66   1526   119143.17  170934.5
## 67   1527    80201.37  159738.3
## 68   1528   145984.81  174445.8
## 69   1529   157856.44  174706.4
## 70   1530   148117.06  164507.7
## 71   1531   114722.78  163602.5
## 72   1532   117102.13  154126.3
## 73   1533   125350.06  171104.9
## 74   1534   148214.24  167735.4
## 75   1535   119187.50  183003.6
## 76   1536   116054.46  172580.4
## 77   1537    26057.62  165407.9
## 78   1538   190922.79  176363.8
## 79   1539   205283.70  175183.0
## 80   1540   112605.80  190757.2
## 81   1541   144172.53  167187.0
## 82   1542   137264.92  167839.4
## 83   1543   183745.29  173912.4
## 84   1544    93169.93  154034.9
## 85   1545   147416.45  156003.0
## 86   1546   158300.35  168173.9
## 87   1547   142436.33  168882.4
## 88   1548   159162.25  168173.9
## 89   1549   129485.14  157580.2
## 90   1550   132291.99  181922.2
## 91   1551   135102.08  155134.2
## 92   1552    99030.51  188885.6
## 93   1553   153984.15  183963.2
## 94   1554   133633.37  161298.8
## 95   1555   171047.85  188613.7
## 96   1556   170300.77  175080.1
## 97   1557    99171.93  174744.4
## 98   1558   146663.28  168175.9
## 99   1559   105619.51  182333.5
## 100  1560   100755.77  158307.2
## 101  1561   126147.36  193053.1
## 102  1562   128616.64  175031.1
## 103  1563   130071.10  160713.3
## 104  1564   147839.29  173186.2
## 105  1565   140562.24  191736.8
## 106  1566   228245.91  170401.6
## 107  1567    79432.78  164626.6
## 108  1568   221148.06  205469.4
## 109  1569    91727.43  209561.8
## 110  1570   160835.26  182271.5
## 111  1571    84604.26  178081.5
## 112  1572   109782.52  178426.0
## 113  1573   190711.04  162015.3
## 114  1574   112400.47  181722.4
## 115  1575   215424.54  156705.7
## 116  1576   201092.75  182902.4
## 117  1577   208668.42  157574.6
## 118  1578   155973.53  184380.7
## 119  1579   140106.18  169364.5
## 120  1580   205814.28  175846.2
## 121  1581   177489.00  189673.3
## 122  1582   141571.95  174401.3
## 123  1583   245871.33  179021.4
## 124  1584   208236.24  189196.8
## 125  1585   131624.13  139647.1
## 126  1586    58706.10  161468.2
## 127  1587   115455.85  171557.3
## 128  1588   139997.07  179447.4
## 129  1589    87432.52  169611.6
## 130  1590   163196.01  172088.9
## 131  1591    72931.01  171190.6
## 132  1592   117318.79  154850.5
## 133  1593   136342.43  158617.7
## 134  1594   113808.08  209258.3
## 135  1595   237641.19  177939.0
## 136  1596   184895.74  194631.1
## 137  1597   225556.41  213618.9
## 138  1598   184651.80  198342.5
## 139  1599   191860.09  138608.0
## 140  1600    21498.37  150779.0
## 141  1601   124042.37  146966.2
## 142  1602    76059.10  162182.6
## 143  1603   267212.06  176825.9
## 144  1604   237651.66  152799.8
## 145  1605   166786.43  180322.3
## 146  1606   159136.24  177508.0
## 147  1607   231022.96  208029.6
## 148  1608   203295.08  181987.3
## 149  1609   158783.54  160172.7
## 150  1610   136048.60  176761.3
## 151  1611   173560.01  176515.5
## 152  1612   124919.42  176270.5
## 153  1613   110504.57  183050.8
## 154  1614    94390.41  150011.1
## 155  1615    79746.29  159270.5
## 156  1616    89630.49  163419.7
## 157  1617   133821.77  163400.0
## 158  1618   129347.74  173364.2
## 159  1619   119124.44  169556.8
## 160  1620   139190.31  183690.6
## 161  1621   144058.70  176980.9
## 162  1622   230248.97  204773.4
## 163  1623   192511.58  174728.7
## 164  1624   145753.20  181873.5
## 165  1625   171441.04  177322.0
## 166  1626   180151.60  193927.9
## 167  1627   250311.48  181715.6
## 168  1628   191234.26  199270.8
## 169  1629   301147.73  177109.6
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## 548  2008   203924.30  160750.4
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## 550  2010   196867.98  187720.4
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## 552  2012   197125.96  176385.1
## 553  2013   224790.26  175901.8
## 554  2014   202566.59  182584.3
## 555  2015   221774.26  195664.7
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## 558  2018   131457.88  181594.7
## 559  2019   156444.84  178521.7
## 560  2020   230736.09  175895.9
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## 621  2081   149407.17  186711.7
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## 1052 2512   228261.18  185127.2
## 1053 2513   228261.18  178750.6
## 1054 2514   206356.09  160927.6
## 1055 2515   226875.67  192562.8
## 1056 2516   146960.36  180990.2
## 1057 2517   156858.75  180064.9
## 1058 2518   155739.44  196071.0
## 1059 2519   165698.39  180352.9
## 1060 2520   144987.72  183368.0
## 1061 2521   137419.75  176734.8
## 1062 2522   145615.82  180848.2
## 1063 2523   128068.04  187806.1
## 1064 2524   211317.88  180521.5
## 1065 2525   227222.05  181502.8
## 1066 2526   204277.83  174525.9
## 1067 2527   228632.38  188928.0
## 1068 2528   258732.27  184728.9
## 1069 2529   232393.46  179858.0
## 1070 2530   229704.68  180962.9
## 1071 2531   204970.58  179194.1
## 1072 2532   210532.80  179591.8
## 1073 2533   173265.96  180638.5
## 1074 2534   205316.96  185846.2
## 1075 2535   159137.75  195174.0
## 1076 2536   123011.47  192474.6
## 1077 2537   101986.59  164200.6
## 1078 2538   138536.78  178403.1
## 1079 2539   133615.11  170774.8
## 1080 2540   151363.86  179879.9
## 1081 2541   145536.00  177668.2
## 1082 2542   157004.07  180174.3
## 1083 2543   368908.90  170643.3
## 1084 2544   109296.59  165448.0
## 1085 2545   100734.08  195531.8
## 1086 2546    82051.56  165314.2
## 1087 2547   129017.37  172532.8
## 1088 2548   134116.98  203310.2
## 1089 2549   101865.32  175090.1
## 1090 2550   107874.99  230841.3
## 1091 2551   153826.56  155225.2
## 1092 2552   190174.41  168322.3
## 1093 2553   179704.21  165956.3
## 1094 2554   224903.02  193956.8
## 1095 2555   178889.56  171070.4
## 1096 2556   177056.45  166285.2
## 1097 2557   200885.96  182875.8
## 1098 2558   146650.19  218108.5
## 1099 2559    99250.04  174378.8
## 1100 2560   163613.87  164731.3
## 1101 2561   176393.68  156969.7
## 1102 2562   190928.55  173388.9
## 1103 2563   139370.27  177559.6
## 1104 2564   149218.87  194297.8
## 1105 2565   176343.87  174894.6
## 1106 2566   236303.30  196544.1
## 1107 2567   237434.73  179036.2
## 1108 2568   137948.75  211424.0
## 1109 2569   110000.84  208156.4
## 1110 2570   132611.64  159233.9
## 1111 2571    94977.60  210820.1
## 1112 2572   -11534.69  140196.1
## 1113 2573   115525.18  198678.5
## 1114 2574   102901.51  186818.6
## 1115 2575   116038.15  175044.8
## 1116 2576   222167.74  180031.2
## 1117 2577   138087.45  176889.2
## 1118 2578   162324.97  159638.9
## 1119 2579   196165.85  154287.3
## 1120 2580   192544.86  191885.6
## 1121 2581   187185.52  177503.4
## 1122 2582   168865.80  166548.3
## 1123 2583   170558.04  164475.1
## 1124 2584   169794.75  167484.7
## 1125 2585   213406.89  188683.2
## 1126 2586   249980.97  162243.4
## 1127 2587   230735.13  180807.2
## 1128 2588   300353.44  176279.1
## 1129 2589   251712.85  163439.0
## 1130 2590   235667.30  161495.5
## 1131 2591   256784.89  216032.3
## 1132 2592   373947.09  176632.2
## 1133 2593    65771.51  168743.0
## 1134 2594   133704.59  183810.1
## 1135 2595    90016.68  156794.4
## 1136 2596    87672.17  169136.4
## 1137 2597   101764.97  183203.3
## 1138 2598    76081.59  213252.9
## 1139 2599   142203.22  190550.3
## 1140 2600   161356.96  234707.2
## 1141 2601   160346.76  135751.3
## 1142 2602   160748.56  164228.5
## 1143 2603   141718.24  153219.4
## 1144 2604   123574.78  164210.7
## 1145 2605   150425.76  163883.2
## 1146 2606   135695.22  154892.8
## 1147 2607   152620.37  197092.1
## 1148 2608   154622.76  228148.4
## 1149 2609   149980.34  178680.6
## 1150 2610   133824.62  165643.3
## 1151 2611   157538.00  222406.6
## 1152 2612   166512.11  184021.8
## 1153 2613   180807.32  170871.1
## 1154 2614   163694.96  189562.9
## 1155 2615   162655.83  170591.9
## 1156 2616   234773.67  172934.4
## 1157 2617   225861.29  186425.1
## 1158 2618   311184.60  218648.1
## 1159 2619   175772.72  183035.6
## 1160 2620   218043.26  178378.9
## 1161 2621   392092.08  184516.7
## 1162 2622   458216.21  181419.5
## 1163 2623   397568.50  196858.9
## 1164 2624   466181.18  189228.7
## 1165 2625   377395.29  208973.4
## 1166 2626   328361.99  180269.9
## 1167 2627   427268.27  159488.7
## 1168 2628   165204.41  191490.3
## 1169 2629   205203.36  228684.2
## 1170 2630   239027.30  201843.0
## 1171 2631   236568.32  209242.8
## 1172 2632   181200.62  202357.6
## 1173 2633   163030.76  168238.6
## 1174 2634   107647.05  202524.1
## 1175 2635   136731.03  170588.8
## 1176 2636   108407.25  198375.3
## 1177 2637    94785.29  170636.8
## 1178 2638   118875.93  181991.1
## 1179 2639   112014.01  183994.5
## 1180 2640   114734.99  182951.5
## 1181 2641   140818.29  174126.3
## 1182 2642   141303.66  170575.5
## 1183 2643   152402.65  175332.2
## 1184 2644   152945.08  167522.1
## 1185 2645   372983.93  168095.6
## 1186 2646   258395.29  154406.4
## 1187 2647   296111.42  170997.0
## 1188 2648   397207.28  159056.9
## 1189 2649   303131.00  181373.6
## 1190 2650   413082.51  152272.6
## 1191 2651   329417.82  168664.3
## 1192 2652   326776.91  211007.0
## 1193 2653   350292.61  182909.5
## 1194 2654   398246.41  203926.8
## 1195 2655   396739.63  179082.8
## 1196 2656   297682.39  206260.1
## 1197 2657   351551.94  181732.4
## 1198 2658   297954.63  189698.7
## 1199 2659   350512.82  203074.3
## 1200 2660   181732.53  201670.6
## 1201 2661   202224.32  173756.8
## 1202 2662   171558.83  181387.1
## 1203 2663   233041.79  184859.2
## 1204 2664   201877.94  158313.6
## 1205 2665   194435.81  151952.0
## 1206 2666   196514.07  162537.5
## 1207 2667   195128.57  178998.3
## 1208 2668   196167.69  186732.6
## 1209 2669   202917.07  187323.3
## 1210 2670   185479.74  199437.2
## 1211 2671   209432.62  185546.7
## 1212 2672   333566.00  161595.0
## 1213 2673   332180.49  154672.4
## 1214 2674   410599.42  159355.7
## 1215 2675   334174.22  155919.0
## 1216 2676   397764.49  182424.9
## 1217 2677   339042.41  178100.6
## 1218 2678   339602.80  202577.9
## 1219 2679   251950.66  177862.8
## 1220 2680   295611.51  182056.0
## 1221 2681   232620.50  191403.2
## 1222 2682   247663.67  196264.8
## 1223 2683   333138.91  209375.0
## 1224 2684   197654.12  196691.8
## 1225 2685   177617.58  192458.4
## 1226 2686   197302.69  182242.8
## 1227 2687   163867.59  183259.5
## 1228 2688   207822.77  188108.2
## 1229 2689   208169.15  171418.6
## 1230 2690   170923.90  194698.9
## 1231 2691   195117.12  174841.8
## 1232 2692   157109.49  172965.5
## 1233 2693   157455.86  189386.3
## 1234 2694   188307.18  185682.6
## 1235 2695   132010.98  176412.0
## 1236 2696   148355.03  174976.5
## 1237 2697   127725.53  180718.6
## 1238 2698   129591.68  186131.2
## 1239 2699   150911.81  165220.8
## 1240 2700   128476.42  164115.9
## 1241 2701   131669.94  182125.7
## 1242 2702   138129.90  182285.1
## 1243 2703   135032.31  196325.4
## 1244 2704   257591.39  164865.2
## 1245 2705   401452.52  182694.5
## 1246 2706   150671.28  185425.5
## 1247 2707   156635.79  171414.7
## 1248 2708   164963.70  183433.5
## 1249 2709   165057.16  176845.0
## 1250 2710   216659.17  180568.2
## 1251 2711   240737.82  185948.6
## 1252 2712   164837.89  189388.3
## 1253 2713   186911.85  142754.5
## 1254 2714   141996.41  156106.8
## 1255 2715   161521.40  155895.4
## 1256 2716   152385.17  159852.0
## 1257 2717   141992.51  185157.8
## 1258 2718   153269.10  180716.3
## 1259 2719   137770.87  176901.1
## 1260 2720   191327.19  181017.2
## 1261 2721   160632.60  183269.2
## 1262 2722   151980.80  193550.8
## 1263 2723   141670.08  170625.8
## 1264 2724   154949.09  182012.4
## 1265 2725   148406.73  179162.5
## 1266 2726   120535.47  183269.2
## 1267 2727   127215.23  180589.8
## 1268 2728   137369.81  181465.9
## 1269 2729   131248.86  196053.0
## 1270 2730   133418.18  183421.0
## 1271 2731   135229.18  167926.8
## 1272 2732   154695.72  168027.5
## 1273 2733   139628.50  182164.3
## 1274 2734   170772.39  172469.1
## 1275 2735   154662.77  181059.4
## 1276 2736   136095.15  182997.6
## 1277 2737   161484.68  166140.5
## 1278 2738   164240.12  198515.5
## 1279 2739   142080.94  193789.6
## 1280 2740   139994.92  173550.0
## 1281 2741   148830.14  176487.9
## 1282 2742   124735.34  188813.3
## 1283 2743   127792.46  178531.9
## 1284 2744   127981.78  182145.7
## 1285 2745   210833.16  179196.5
## 1286 2746   128825.22  169618.3
## 1287 2747   153991.10  170010.2
## 1288 2748   150281.72  181739.7
## 1289 2749    61768.62  172846.9
## 1290 2750    70552.92  195560.9
## 1291 2751    75778.22  180358.1
## 1292 2752   158722.46  211817.7
## 1293 2753    96485.26  176170.1
## 1294 2754   156427.60  234492.2
## 1295 2755   160286.22  182451.0
## 1296 2756   156919.41  174902.1
## 1297 2757   176402.43  173684.2
## 1298 2758   208567.32  147196.7
## 1299 2759    89968.49  175231.2
## 1300 2760    80543.14  193417.6
## 1301 2761   152549.32  183313.6
## 1302 2762   176827.36  180882.3
## 1303 2763   178815.60  186735.7
## 1304 2764   139607.40  172922.9
## 1305 2765   131168.66  202551.7
## 1306 2766   159604.71  190485.6
## 1307 2767   131034.26  173439.5
## 1308 2768   110673.65  196613.6
## 1309 2769   142631.35  178152.3
## 1310 2770   194533.88  174519.9
## 1311 2771   152880.69  172627.8
## 1312 2772   113859.30  173732.7
## 1313 2773   137169.38  209219.8
## 1314 2774   103440.15  181059.4
## 1315 2775    86316.19  188515.4
## 1316 2776    63619.61  182164.3
## 1317 2777   134206.99  188137.9
## 1318 2778   133121.48  158893.5
## 1319 2779    55834.01  189579.7
## 1320 2780   154255.10  165229.8
## 1321 2781    62360.14  162186.1
## 1322 2782   167762.77  166374.9
## 1323 2783   106360.80  161665.2
## 1324 2784   111121.54  175079.3
## 1325 2785    23003.15  203840.9
## 1326 2786   105769.48  152129.1
## 1327 2787   107347.62  181012.1
## 1328 2788   123491.93  161305.5
## 1329 2789   110881.71  203326.4
## 1330 2790   184789.88  168385.6
## 1331 2791    75449.51  183564.4
## 1332 2792   110153.24  163784.6
## 1333 2793    86814.89  171989.2
## 1334 2794   127468.67  180840.0
## 1335 2795   138351.74  170895.9
## 1336 2796   176572.21  174071.1
## 1337 2797   112179.37  259423.9
## 1338 2798   110740.24  188000.8
## 1339 2799    88262.74  179171.7
## 1340 2800   185926.97  171022.2
## 1341 2801   137437.15  174126.3
## 1342 2802   151127.48  187625.6
## 1343 2803   155745.51  199567.9
## 1344 2804   133988.96  205328.1
## 1345 2805   161363.13  166231.5
## 1346 2806   159253.73  154743.9
## 1347 2807   160982.82  159714.5
## 1348 2808   147370.41  185563.1
## 1349 2809   233699.44  171500.8
## 1350 2810   150789.94  180983.4
## 1351 2811   135523.77  183141.2
## 1352 2812   194225.75  178498.6
## 1353 2813   106106.01  224323.7
## 1354 2814   160363.34  218200.6
## 1355 2815   151651.91  182283.2
## 1356 2816   185100.14  190054.6
## 1357 2817   151516.07  160192.5
## 1358 2818   118294.92  171289.4
## 1359 2819   120177.37  151131.1
## 1360 2820   167451.74  181721.5
## 1361 2821   202345.96  172725.1
## 1362 2822   155915.23  222438.7
## 1363 2823   206053.88  235419.4
## 1364 2824   214733.48  185150.9
## 1365 2825   196947.11  184772.2
## 1366 2826   283173.10  180658.2
## 1367 2827   206746.63  209673.3
## 1368 2828   221249.03  205939.8
## 1369 2829   206400.25  165633.6
## 1370 2830   215417.59  186030.3
## 1371 2831   139182.28  160312.3
## 1372 2832   182791.08  190702.4
## 1373 2833   207612.96  175122.8
## 1374 2834   228651.72  183783.1
## 1375 2835   227612.59  178290.7
## 1376 2836   182959.03  181605.3
## 1377 2837   163087.29  187992.5
## 1378 2838   146021.93  188885.1
## 1379 2839   228305.34  189959.3
## 1380 2840   192099.23  179258.6
## 1381 2841   238200.88  181518.8
## 1382 2842   212223.04  193008.7
## 1383 2843   251221.76  186313.9
## 1384 2844   212569.42  181499.4
## 1385 2845   211186.59  174126.3
## 1386 2846   235167.27  183918.6
## 1387 2847   137342.82  184114.3
## 1388 2848   221249.03  158540.9
## 1389 2849   205707.50  197034.8
## 1390 2850   207439.38  185170.3
## 1391 2851   219170.77  221134.5
## 1392 2852   134558.56  184306.6
## 1393 2853   160365.89  199792.3
## 1394 2854   128082.48  143237.8
## 1395 2855   176167.77  177294.8
## 1396 2856   166392.79  182368.6
## 1397 2857   243599.01  176487.9
## 1398 2858   108994.38  183849.4
## 1399 2859   140763.52  184964.1
## 1400 2860   101235.41  196396.0
## 1401 2861   137017.64  188374.9
## 1402 2862   101644.99  176261.3
## 1403 2863   102914.42  163628.1
## 1404 2864    88226.15  180618.0
## 1405 2865    28096.79  161647.3
## 1406 2866    91542.01  167129.6
## 1407 2867   118351.29  174751.0
## 1408 2868   152138.54  177560.2
## 1409 2869   170078.00  192577.8
## 1410 2870   161028.79  199202.9
## 1411 2871   206702.14  182818.2
## 1412 2872   127550.52  148217.3
## 1413 2873   132762.48  188997.8
## 1414 2874   180468.69  185807.9
## 1415 2875   179443.82  177030.5
## 1416 2876   252545.67  175942.5
## 1417 2877   202095.29  172912.5
## 1418 2878   186341.18  198359.2
## 1419 2879   203831.19  184379.1
## 1420 2880   108018.40  194255.6
## 1421 2881   149638.07  209449.7
## 1422 2882    64680.11  169979.3
## 1423 2883    66995.81  188206.3
## 1424 2884   140176.39  186412.4
## 1425 2885    59461.33  196761.4
## 1426 2886    98646.35  208353.3
## 1427 2887    57519.52  166548.1
## 1428 2888   273969.88  175942.5
## 1429 2889   270506.11  166790.5
## 1430 2890   188694.28  160515.9
## 1431 2891   155568.37  192167.6
## 1432 2892   260278.52  178751.6
## 1433 2893   177373.30  198678.9
## 1434 2894   200670.15  164553.1
## 1435 2895   188468.73  156887.9
## 1436 2896   305181.27  164185.8
## 1437 2897   326885.25  212992.1
## 1438 2898   173757.39  197468.6
## 1439 2899   117208.71  180106.8
## 1440 2900   151369.06  183972.1
## 1441 2901   149358.05  245283.2
## 1442 2902    78390.72  170352.0
## 1443 2903    95695.55  195596.3
## 1444 2904   144888.56  189369.8
## 1445 2905    84624.44  223667.4
## 1446 2906    76818.51  169335.3
## 1447 2907    76818.51  167411.0
## 1448 2908    96041.93  187709.6
## 1449 2909   145363.25  196526.0
## 1450 2910   120671.07  137402.6
## 1451 2911   186089.84  165086.8
sum(predict_v_response$predictions)
## [1] 260916278
sum(predict_v_response$SalePrice)
## [1] 259977880