Final Problem 3

library(dplyr)
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library(tidyr)
library(stringr)
library(reactable)
library(readr)
library(tidyverse)
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## v tibble  3.1.4     v forcats 0.5.1
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library(pracma)
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library(matrixcalc)
library(summarytools)
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library(kableExtra)
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library(stats)
library(GGally)
## Registered S3 method overwritten by 'GGally':
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##   +.gg   ggplot2
library(Rmisc)
## Loading required package: lattice
## Loading required package: plyr
## ------------------------------------------------------------------------------
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## If you need functions from both plyr and dplyr, please load plyr first, then dplyr:
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library(corrplot)
## corrplot 0.90 loaded
train1<-read.csv("https://raw.githubusercontent.com/maliat-hossain/DATA-605/main/train%20(1).csv")
test1<-read.csv("https://raw.githubusercontent.com/maliat-hossain/DATA-605/main/test%20(1).csv")

Provide univariate descriptive statistics and appropriate plots for the training data set. Provide a scatterplot matrix for at least two of the independent variables and the dependent variable. Derive a correlation matrix for any three quantitative variables in the dataset. Test the hypotheses that the correlations between each pairwise set of variables is 0 and provide an 80% confidence interval. Discuss the meaning of your analysis. Would you be worried about familywise error? Why or why not?

descr(train1,
  headings = FALSE, #remove headings
  stats = "common",# most common descriptive statistics, default is all
  transpose = TRUE #allows for better display due to large amount of variables
  ) %>% 
  kable_styling(bootstrap_options = c("striped", "hover", "condensed"))
## Warning in if (!kable_format %in% c("html", "latex")) {: the condition has
## length > 1 and only the first element will be used
## Warning in kable_styling(., bootstrap_options = c("striped", "hover",
## "condensed")): Please specify format in kable. kableExtra can customize either
## HTML or LaTeX outputs. See https://haozhu233.github.io/kableExtra/ for details.
## Non-numerical variable(s) ignored: MSZoning, Street, Alley, LotShape, LandContour, Utilities, LotConfig, LandSlope, Neighborhood, Condition1, Condition2, BldgType, HouseStyle, RoofStyle, RoofMatl, Exterior1st, Exterior2nd, MasVnrType, ExterQual, ExterCond, Foundation, BsmtQual, BsmtCond, BsmtExposure, BsmtFinType1, BsmtFinType2, Heating, HeatingQC, CentralAir, Electrical, KitchenQual, Functional, FireplaceQu, GarageType, GarageFinish, GarageQual, GarageCond, PavedDrive, PoolQC, Fence, MiscFeature, SaleType, SaleCondition
## 
##                            Mean    Std.Dev        Min      Median         Max   N.Valid   Pct.Valid
## ------------------- ----------- ---------- ---------- ----------- ----------- --------- -----------
##        BedroomAbvGr        2.87       0.82       0.00        3.00        8.00   1460.00      100.00
##          BsmtFinSF1      443.64     456.10       0.00      383.50     5644.00   1460.00      100.00
##          BsmtFinSF2       46.55     161.32       0.00        0.00     1474.00   1460.00      100.00
##        BsmtFullBath        0.43       0.52       0.00        0.00        3.00   1460.00      100.00
##        BsmtHalfBath        0.06       0.24       0.00        0.00        2.00   1460.00      100.00
##           BsmtUnfSF      567.24     441.87       0.00      477.50     2336.00   1460.00      100.00
##       EnclosedPorch       21.95      61.12       0.00        0.00      552.00   1460.00      100.00
##          Fireplaces        0.61       0.64       0.00        1.00        3.00   1460.00      100.00
##            FullBath        1.57       0.55       0.00        2.00        3.00   1460.00      100.00
##          GarageArea      472.98     213.80       0.00      480.00     1418.00   1460.00      100.00
##          GarageCars        1.77       0.75       0.00        2.00        4.00   1460.00      100.00
##         GarageYrBlt     1978.51      24.69    1900.00     1980.00     2010.00   1379.00       94.45
##           GrLivArea     1515.46     525.48     334.00     1464.00     5642.00   1460.00      100.00
##            HalfBath        0.38       0.50       0.00        0.00        2.00   1460.00      100.00
##                  Id      730.50     421.61       1.00      730.50     1460.00   1460.00      100.00
##        KitchenAbvGr        1.05       0.22       0.00        1.00        3.00   1460.00      100.00
##             LotArea    10516.83    9981.26    1300.00     9478.50   215245.00   1460.00      100.00
##         LotFrontage       70.05      24.28      21.00       69.00      313.00   1201.00       82.26
##        LowQualFinSF        5.84      48.62       0.00        0.00      572.00   1460.00      100.00
##          MasVnrArea      103.69     181.07       0.00        0.00     1600.00   1452.00       99.45
##             MiscVal       43.49     496.12       0.00        0.00    15500.00   1460.00      100.00
##              MoSold        6.32       2.70       1.00        6.00       12.00   1460.00      100.00
##          MSSubClass       56.90      42.30      20.00       50.00      190.00   1460.00      100.00
##         OpenPorchSF       46.66      66.26       0.00       25.00      547.00   1460.00      100.00
##         OverallCond        5.58       1.11       1.00        5.00        9.00   1460.00      100.00
##         OverallQual        6.10       1.38       1.00        6.00       10.00   1460.00      100.00
##            PoolArea        2.76      40.18       0.00        0.00      738.00   1460.00      100.00
##           SalePrice   180921.20   79442.50   34900.00   163000.00   755000.00   1460.00      100.00
##         ScreenPorch       15.06      55.76       0.00        0.00      480.00   1460.00      100.00
##         TotalBsmtSF     1057.43     438.71       0.00      991.50     6110.00   1460.00      100.00
##        TotRmsAbvGrd        6.52       1.63       2.00        6.00       14.00   1460.00      100.00
##          WoodDeckSF       94.24     125.34       0.00        0.00      857.00   1460.00      100.00
##           X1stFlrSF     1162.63     386.59     334.00     1087.00     4692.00   1460.00      100.00
##           X2ndFlrSF      346.99     436.53       0.00        0.00     2065.00   1460.00      100.00
##          X3SsnPorch        3.41      29.32       0.00        0.00      508.00   1460.00      100.00
##           YearBuilt     1971.27      30.20    1872.00     1973.00     2010.00   1460.00      100.00
##        YearRemodAdd     1984.87      20.65    1950.00     1994.00     2010.00   1460.00      100.00
##              YrSold     2007.82       1.33    2006.00     2008.00     2010.00   1460.00      100.00
ggpairs(train1, 
        columns = c('SalePrice','FullBath', 'YearBuilt', 'EnclosedPorch'), 
        aes(alpha = 0.5), 
        lower = list(continuous = "smooth"))

quant_vars <- train1 %>% 
  select(c(5,18,81))

corr_mtrx <- cor(quant_vars) %>% 
  as.matrix()
corr_mtrx
##               LotArea OverallQual SalePrice
## LotArea     1.0000000   0.1058057 0.2638434
## OverallQual 0.1058057   1.0000000 0.7909816
## SalePrice   0.2638434   0.7909816 1.0000000
library(corrplot)
corrplot(corr_mtrx)

Test the hypotheses that the correlations between each pairwise set of variables is 0 and provide an 80% confidence interval. Discuss the meaning of your analysis.

cor.test(quant_vars$LotArea, quant_vars$SalePrice, conf.level = 0.8)
## 
##  Pearson's product-moment correlation
## 
## data:  quant_vars$LotArea and quant_vars$SalePrice
## t = 10.445, df = 1458, p-value < 2.2e-16
## alternative hypothesis: true correlation is not equal to 0
## 80 percent confidence interval:
##  0.2323391 0.2947946
## sample estimates:
##       cor 
## 0.2638434
cor.test(quant_vars$OverallQual, quant_vars$SalePrice, conf.level = 0.8)
## 
##  Pearson's product-moment correlation
## 
## data:  quant_vars$OverallQual and quant_vars$SalePrice
## t = 49.364, df = 1458, p-value < 2.2e-16
## alternative hypothesis: true correlation is not equal to 0
## 80 percent confidence interval:
##  0.7780752 0.8032204
## sample estimates:
##       cor 
## 0.7909816
cor.test(quant_vars$OverallQual, quant_vars$LotArea, conf.level = 0.8)
## 
##  Pearson's product-moment correlation
## 
## data:  quant_vars$OverallQual and quant_vars$LotArea
## t = 4.0629, df = 1458, p-value = 5.106e-05
## alternative hypothesis: true correlation is not equal to 0
## 80 percent confidence interval:
##  0.07250156 0.13887424
## sample estimates:
##       cor 
## 0.1058057

Invert your correlation matrix from above. (This is known as the precision matrix and contains variance inflation factors on the diagonal.) Multiply the correlation matrix by the precision matrix, and then multiply the precision matrix by the correlation matrix. Conduct LU decomposition on the matrix.

precision_mtrx <- inv(corr_mtrx)
precision_mtrx
##                LotArea OverallQual  SalePrice
## LotArea      1.1085153   0.3046752 -0.5334669
## OverallQual  0.3046752   2.7550503 -2.2595806
## SalePrice   -0.5334669  -2.2595806  2.9280384
corr_precision <- (corr_mtrx%*%precision_mtrx)
corr_precision
##             LotArea OverallQual     SalePrice
## LotArea           1           0  0.000000e+00
## OverallQual       0           1 -4.440892e-16
## SalePrice         0           0  1.000000e+00
precision_corr <- (precision_mtrx%*%corr_mtrx)
precision_corr
##                   LotArea  OverallQual     SalePrice
## LotArea      1.000000e+00 5.551115e-17  1.110223e-16
## OverallQual -2.220446e-16 1.000000e+00 -4.440892e-16
## SalePrice    1.110223e-16 0.000000e+00  1.000000e+00
decompsit_corr <- lu.decomposition(corr_mtrx)
decompsit_corr
## $L
##           [,1]      [,2] [,3]
## [1,] 1.0000000 0.0000000    0
## [2,] 0.1058057 1.0000000    0
## [3,] 0.2638434 0.7717046    1
## 
## $U
##      [,1]      [,2]      [,3]
## [1,]    1 0.1058057 0.2638434
## [2,]    0 0.9888051 0.7630655
## [3,]    0 0.0000000 0.3415256
decomp_precision <- lu.decomposition(precision_mtrx)
decomp_precision
## $L
##            [,1]       [,2] [,3]
## [1,]  1.0000000  0.0000000    0
## [2,]  0.2748498  1.0000000    0
## [3,] -0.4812445 -0.7909816    1
## 
## $U
##          [,1]      [,2]       [,3]
## [1,] 1.108515 0.3046752 -0.5334669
## [2,] 0.000000 2.6713104 -2.1129574
## [3,] 0.000000 0.0000000  1.0000000
decomp_corr_precision <- lu.decomposition(corr_precision)
decomp_corr_precision
## $L
##      [,1] [,2] [,3]
## [1,]    1    0    0
## [2,]    0    1    0
## [3,]    0    0    1
## 
## $U
##      [,1] [,2]          [,3]
## [1,]    1    0  0.000000e+00
## [2,]    0    1 -4.440892e-16
## [3,]    0    0  1.000000e+00
decomp_precision_corr <- lu.decomposition(precision_corr)
decomp_precision_corr 
## $L
##               [,1]          [,2] [,3]
## [1,]  1.000000e+00  0.000000e+00    0
## [2,] -2.220446e-16  1.000000e+00    0
## [3,]  1.110223e-16 -6.162976e-33    1
## 
## $U
##      [,1]         [,2]          [,3]
## [1,]    1 5.551115e-17  1.110223e-16
## [2,]    0 1.000000e+00 -4.440892e-16
## [3,]    0 0.000000e+00  1.000000e+00
library(MASS)
## 
## Attaching package: 'MASS'
## The following object is masked from 'package:dplyr':
## 
##     select
fitm <- fitdistr(train1$SalePrice, "exponential")
fitm
##        rate    
##   5.527268e-06 
##  (1.446552e-07)
lambda = fitm$estimate
lambda
##         rate 
## 5.527268e-06
optimalvalue = rexp(1000, lambda)
head(optimalvalue,10)
##  [1] 222317.47 343147.97  10386.09  24746.45 181842.15 102327.36 240760.27
##  [8] 362201.70 100205.03 208214.78
optimalvaluedf <- as.data.frame(optimalvalue)
ggplot(train1, aes(x=SalePrice)) + 
 geom_histogram(aes(y=..density..), colour="blue", fill="green")+
 geom_density(alpha=.2, fill="#FF6666")+
  labs(title="Housing Price Distibution Histogram",x="Price", y = "Density")
## `stat_bin()` using `bins = 30`. Pick better value with `binwidth`.

ggplot(optimalvaluedf, aes(x=optimalvalue)) + 
 geom_histogram(aes(y=..density..), colour="blue", fill="white")+
 geom_density(alpha=.2, fill="#9f00e6")+
labs(title="Optimal Value Distribution Histogram",x="Optimal Value", y = "Density")
## `stat_bin()` using `bins = 30`. Pick better value with `binwidth`.

#5th percentile
qexp(0.05, rate = lambda)
## [1] 9280.044
#95th percentile
qexp(0.95, rate = lambda)
## [1] 541991.5
CI(train1$SalePrice, ci=0.95)
##    upper     mean    lower 
## 184999.6 180921.2 176842.8
quantile(train1$SalePrice, 0.05)
##    5% 
## 88000
quantile(train1$SalePrice, 0.95)
##    95% 
## 326100

The 5th percentile of the SalePrice refers that 5% of the house prices are less than $88,000.And, The 95th percentile refers that 95% of the house prices are less than $326,100.

Model Building:

trainnum <- num_cols <- unlist(lapply(train1, is.numeric)) #only the numeric columns
trainnum_df <- train1[, trainnum] #transforming into a dataframe
trainnum_df <- trainnum_df[,2:38] #removing ID#
trainnum_df[complete.cases(trainnum_df), ] #remove NAs
##      MSSubClass LotFrontage LotArea OverallQual OverallCond YearBuilt
## 1            60          65    8450           7           5      2003
## 2            20          80    9600           6           8      1976
## 3            60          68   11250           7           5      2001
## 4            70          60    9550           7           5      1915
## 5            60          84   14260           8           5      2000
## 6            50          85   14115           5           5      1993
## 7            20          75   10084           8           5      2004
## 9            50          51    6120           7           5      1931
## 10          190          50    7420           5           6      1939
## 11           20          70   11200           5           5      1965
## 12           60          85   11924           9           5      2005
## 14           20          91   10652           7           5      2006
## 16           45          51    6120           7           8      1929
## 18           90          72   10791           4           5      1967
## 19           20          66   13695           5           5      2004
## 20           20          70    7560           5           6      1958
## 21           60         101   14215           8           5      2005
## 22           45          57    7449           7           7      1930
## 23           20          75    9742           8           5      2002
## 24          120          44    4224           5           7      1976
## 26           20         110   14230           8           5      2007
## 27           20          60    7200           5           7      1951
## 28           20          98   11478           8           5      2007
## 29           20          47   16321           5           6      1957
## 30           30          60    6324           4           6      1927
## 31           70          50    8500           4           4      1920
## 33           20          85   11049           8           5      2007
## 34           20          70   10552           5           5      1959
## 35          120          60    7313           9           5      2005
## 36           60         108   13418           8           5      2004
## 37           20         112   10859           5           5      1994
## 38           20          74    8532           5           6      1954
## 39           20          68    7922           5           7      1953
## 41           20          84    8658           6           5      1965
## 42           20         115   16905           5           6      1959
## 45           20          70    7945           5           6      1959
## 46          120          61    7658           9           5      2005
## 47           50          48   12822           7           5      2003
## 48           20          84   11096           8           5      2006
## 50           20          66    7742           5           7      1966
## 52           50          52    6240           6           6      1934
## 53           90         110    8472           5           5      1963
## 54           20          68   50271           9           5      1981
## 55           80          60    7134           5           5      1955
## 56           20         100   10175           6           5      1964
## 57          160          24    2645           8           5      1999
## 58           60          89   11645           7           5      2004
## 59           60          66   13682          10           5      2006
## 60           20          60    7200           5           7      1972
## 61           20          63   13072           6           5      2004
## 62           75          60    7200           5           7      1920
## 63          120          44    6442           8           5      2006
## 64           70          50   10300           7           6      1921
## 66           60          76    9591           8           5      2004
## 68           20          72   10665           7           5      2003
## 69           30          47    4608           4           6      1945
## 70           50          81   15593           7           4      1953
## 71           20          95   13651           7           6      1973
## 72           20          69    7599           4           6      1982
## 73           60          74   10141           7           5      1998
## 74           20          85   10200           5           7      1954
## 75           50          60    5790           3           6      1915
## 76          180          21    1596           4           5      1973
## 78           50          50    8635           5           5      1948
## 80           50          60   10440           5           6      1910
## 81           60         100   13000           6           6      1968
## 82          120          32    4500           6           5      1998
## 83           20          78   10206           8           5      2007
## 84           20          80    8892           5           5      1960
## 86           60         121   16059           8           5      1991
## 87           60         122   11911           6           5      2005
## 88          160          40    3951           6           5      2009
## 91           20          60    7200           4           5      1950
## 92           20          85    8500           5           3      1961
## 93           30          80   13360           5           7      1921
## 94          190          60    7200           6           6      1910
## 95           60          69    9337           6           5      1997
## 97           20          78   10264           7           5      1999
## 98           20          73   10921           4           5      1965
## 99           30          85   10625           5           5      1920
## 102          60          77    9206           6           5      1985
## 103          90          64    7018           5           5      1979
## 104          20          94   10402           7           5      2009
## 106          60          75    9375           8           5      2003
## 107          30          60   10800           4           7      1885
## 108          20          50    6000           5           5      1948
## 110          20         105   11751           6           6      1977
## 111          50          75    9525           6           4      1954
## 113          60          77    9965           7           5      2007
## 115          70          61    7259           6           8      1945
## 116         160          34    3230           6           5      1999
## 118          20          74    8536           5           5      2006
## 119          60          90   12376           7           5      1990
## 120          60          65    8461           6           5      2005
## 122          50          50    6060           4           5      1939
## 123          20          75    9464           6           7      1958
## 124         120          55    7892           6           5      1993
## 125          20          48   17043           6           5      1979
## 129          60          69    7590           6           5      1966
## 130          20          69    8973           5           7      1958
## 131          60          88   14200           7           6      1966
## 133          20          75    7388           5           6      1959
## 135          20          78   10335           5           6      1968
## 136          20          80   10400           7           6      1970
## 138          90          82   11070           7           5      1988
## 139          60          73    9066           8           5      1999
## 140          60          65   15426           6           5      1997
## 142          20          78   11645           7           5      2005
## 143          50          71    8520           5           4      1952
## 144          20          78   10335           7           5      1999
## 145          90          70    9100           5           5      1963
## 146         160          24    2522           6           5      2004
## 147          30          51    6120           5           7      1931
## 151          20         120   10356           5           6      1975
## 152          20         107   13891           8           5      2007
## 155          30          84   11340           6           5      1923
## 157          20          60    7200           5           7      1950
## 158          60          92   12003           8           5      2009
## 159          60         100   12552           7           5      2004
## 160          60         134   19378           7           5      2005
## 162          60         110   13688           9           5      2003
## 163          20          95   12182           7           5      2005
## 165          40          40    5400           6           7      1926
## 168          60          86   10562           8           5      2007
## 169          60          62    8244           7           5      2004
## 172          20         141   31770           6           5      1960
## 173         160          44    5306           7           7      1987
## 174          20          80   10197           6           5      1961
## 175          20          47   12416           6           5      1986
## 176          20          84   12615           6           7      1950
## 177          60          97   10029           6           5      1988
## 179          20          63   17423           9           5      2008
## 180          30          60    8520           5           6      1923
## 182          70          54    7588           7           6      1920
## 183          20          60    9060           5           6      1957
## 184          50          63   11426           7           5      2003
## 185          50          92    7438           5           8      1908
## 186          75          90   22950          10           9      1892
## 188          50          60   10410           5           7      1916
## 189          90          64    7018           5           5      1979
## 190         120          41    4923           8           5      2001
## 191          70          70   10570           8           8      1932
## 193          20          68    9017           7           5      1999
## 194         160          24    2522           7           5      2004
## 195          20          60    7180           5           7      1972
## 196         160          24    2280           6           6      1976
## 197          20          79    9416           7           5      2007
## 198          75         174   25419           8           4      1918
## 200          20          76    9591           8           5      2004
## 201          20          80    8546           4           5      2003
## 202          20          75   10125           6           6      1977
## 203          50          50    7000           6           6      1924
## 205          50          50    3500           5           7      1947
## 206          20          99   11851           7           5      1990
## 207          20          40   13673           5           5      1962
## 210          20          75    8250           6           7      1964
## 212          20          83   10420           6           5      2009
## 213          60          72    8640           7           5      2009
## 214          20          43   13568           5           5      1995
## 216          20          72   10011           5           6      1957
## 217          20          65    8450           7           5      2004
## 218          70          57    9906           4           4      1925
## 220         120          43    3010           7           5      2005
## 221          20          73    8990           7           5      2006
## 223          60          85   11475           6           6      1975
## 224          20          70   10500           4           6      1971
## 225          20         103   13472          10           5      2003
## 226         160          21    1680           5           5      1971
## 227          60          82    9950           7           5      1995
## 228         160          21    1869           6           6      1970
## 229          20          70    8521           5           5      1967
## 230         120          43    3182           7           5      2005
## 231          20          73    8760           6           6      1959
## 232          60         174   15138           8           5      1995
## 233         160          21    1680           6           5      1972
## 234          20          75   10650           5           6      1976
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## 826          20         114   14803          10           5      2007
## 828          20          65    8529           7           5      2001
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## 879          85          88   11782           5           7      1961
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## 925          20          79   10240           6           6      1980
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## 931          20          73    8925           8           5      2007
## 932          20          70    9100           5           6      1965
## 933          20          84   11670           9           5      2006
## 934          20          63    8487           7           5      2004
## 935          20         313   27650           7           7      1960
## 936          30          52    5825           4           5      1926
## 938          60          75    9675           7           5      2005
## 939          60          73    8760           7           5      2006
## 941          90          55   12640           6           5      1976
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## 960         160          24    2572           7           5      1999
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## 967          50         130    9600           5           7      1940
## 970         190          75   10382           6           5      1958
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## 973         120          55    7892           6           5      1979
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## 979          20          68    9450           4           5      1954
## 980          20          80    8816           5           6      1963
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## 983          20          43    3182           7           5      2007
## 985          90          75   10125           5           5      1977
## 986         190          68   10880           5           5      1950
## 987          50          59    5310           6           8      1910
## 988          20          83   10159           9           5      2009
## 990          60          65    8125           7           5      2006
## 991          60          82    9452           8           5      1997
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## 996          50          51    4712           4           7      1946
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## 1023         50          52    9439           5           5      1930
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## 1027         20          73    9300           5           5      1960
## 1028         20          71    9520           8           5      2007
## 1029         50          79    9492           5           5      1941
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## 1049         20         100   21750           5           4      1960
## 1050         20          60   11100           4           7      1946
## 1051         20          73    8993           7           5      2007
## 1052         20         103   11175           7           5      2007
## 1053         60         100    9500           6           6      1964
## 1054         20          68    8562           5           6      1957
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## 1210         20          85   10182           8           5      2006
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## 1218         20          72    8640           8           5      2009
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## 1223         50          78   10496           6           6      1949
## 1224         20          89   10680           5           3      1951
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## 1226         80          65   10482           6           8      1958
## 1227         60          86   14598           6           5      2007
## 1228         20          72    8872           5           8      1965
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## 1241         60          65    8158           7           5      2003
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## 1246         80          78   12090           6           7      1984
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## 1256         50          52    6240           6           6      1931
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## 1259         80          59    9587           7           5      2005
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## 1264         70          60   13515           6           6      1919
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## 1267        190          60   10120           7           4      1910
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## 1270         50          78   11344           5           5      1958
## 1274         80         124   11512           6           7      1959
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## 1276         90          95   11345           5           5      1948
## 1280         50          60    7500           4           4      1920
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## 1283         20          61    8800           5           7      1977
## 1285         50          50    9638           6           7      1919
## 1286         50          50    6000           6           6      1939
## 1289        120          40    5664           8           5      2000
## 1290         60          86   11065           8           5      2006
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## 1295         20          60    8172           5           7      1955
## 1296         20          70    8400           5           5      1968
## 1297         20          80    8700           5           6      1963
## 1298        180          35    3675           6           5      2005
## 1299         60         313   63887          10           5      2008
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## 1304         20          73    8688           7           5      2005
## 1305        160          32    3363           7           5      2004
## 1306         20         108   13173           9           5      2006
## 1307        120          48    6955           7           5      2005
## 1308         20          60    8072           5           5      1994
## 1309         20         100   12000           5           7      1948
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## 1312         20          68    8814           7           5      2005
## 1314         60         108   14774           9           5      1999
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## 1316         60          85   11075           6           5      1969
## 1317         20          61   10226           8           5      2008
## 1318        120          47    4230           7           5      2006
## 1320         20          75   10215           4           5      1954
## 1321         20          70    8400           6           3      1957
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## 1340         20         120    9560           5           7      1972
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## 1346         30          50    6000           4           4      1920
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## 1352         60          70    9247           6           6      1962
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## 1356         80         102   10192           7           6      1968
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## 1370         20          48   10635           8           5      2003
## 1371         50          90    5400           4           6      1920
## 1372         80          80    9600           6           6      1955
## 1373         60          75    9750           7           6      1998
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## 1376         20          89   10991           8           5      2007
## 1377         30          52    6292           6           5      1930
## 1378         50          60   10998           5           5      1941
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## 1386         50          40    5436           4           8      1922
## 1387         60          80   16692           7           5      1978
## 1388         50          60    8520           6           7      1916
## 1389         20          42   14892           9           5      2006
## 1390         50          60    6000           6           6      1941
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## 1393         85          68    7838           5           5      1967
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## 1398         70          51    6120           5           8      1920
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## 1404         20          49   15256           8           5      2007
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## 1406        120          44    3842           8           5      2004
## 1407         85          70    8445           5           7      1972
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## 1411         60          79   12420           7           5      2001
## 1412         50          80    9600           6           8      1950
## 1413         90          60    7200           4           5      1949
## 1414         20          88   10994           8           5      2005
## 1415         50          64   13053           6           7      1923
## 1416        120          51    3635           7           5      2007
## 1417        190          60   11340           4           6      1885
## 1419         20          71    9204           5           5      1963
## 1421         60          90   11700           6           6      1968
## 1422        120          53    4043           6           5      1977
## 1423        120          37    4435           6           5      2003
## 1426         20          80   10721           6           6      1959
## 1427         60          81   10944           7           5      1994
## 1428         50          60   10930           5           6      1945
## 1429         30          60    7200           5           7      1940
## 1431         60          60   21930           5           5      2005
## 1433         30          60   10800           4           6      1927
## 1434         60          93   10261           6           5      2000
## 1435         20          80   17400           5           5      1977
## 1436         20          80    8400           6           9      1962
## 1437         20          60    9000           4           6      1971
## 1438         20          96   12444           8           5      2008
## 1439         20          90    7407           6           7      1957
## 1440         60          80   11584           7           6      1979
## 1441         70          79   11526           6           7      1922
## 1443         60          85   11003          10           5      2008
## 1445         20          63    8500           7           5      2004
## 1446         85          70    8400           6           5      1966
## 1448         60          80   10000           8           5      1995
## 1449         50          70   11767           4           7      1910
## 1452         20          78    9262           8           5      2008
## 1453        180          35    3675           5           5      2005
## 1455         20          62    7500           7           5      2004
## 1456         60          62    7917           6           5      1999
## 1457         20          85   13175           6           6      1978
## 1458         70          66    9042           7           9      1941
## 1459         20          68    9717           5           6      1950
## 1460         20          75    9937           5           6      1965
##      YearRemodAdd MasVnrArea BsmtFinSF1 BsmtFinSF2 BsmtUnfSF TotalBsmtSF
## 1            2003        196        706          0       150         856
## 2            1976          0        978          0       284        1262
## 3            2002        162        486          0       434         920
## 4            1970          0        216          0       540         756
## 5            2000        350        655          0       490        1145
## 6            1995          0        732          0        64         796
## 7            2005        186       1369          0       317        1686
## 9            1950          0          0          0       952         952
## 10           1950          0        851          0       140         991
## 11           1965          0        906          0       134        1040
## 12           2006        286        998          0       177        1175
## 14           2007        306          0          0      1494        1494
## 16           2001          0          0          0       832         832
## 18           1967          0          0          0         0           0
## 19           2004          0        646          0       468        1114
## 20           1965          0        504          0       525        1029
## 21           2006        380          0          0      1158        1158
## 22           1950          0          0          0       637         637
## 23           2002        281          0          0      1777        1777
## 24           1976          0        840          0       200        1040
## 26           2007        640          0          0      1566        1566
## 27           2000          0        234        486       180         900
## 28           2008        200       1218          0       486        1704
## 29           1997          0       1277          0       207        1484
## 30           1950          0          0          0       520         520
## 31           1950          0          0          0       649         649
## 33           2007          0          0          0      1234        1234
## 34           1959          0       1018          0       380        1398
## 35           2005        246       1153          0       408        1561
## 36           2005        132          0          0      1117        1117
## 37           1995          0          0          0      1097        1097
## 38           1990        650       1213          0        84        1297
## 39           2007          0        731          0       326        1057
## 41           1965        101        643          0       445        1088
## 42           1959          0        967          0       383        1350
## 45           1959          0        179        506       465        1150
## 46           2005        412        456          0      1296        1752
## 47           2003          0       1351          0        83        1434
## 48           2006          0         24          0      1632        1656
## 50           1966          0        763          0       192         955
## 52           1950          0          0          0       816         816
## 53           1963          0        104        712         0         816
## 54           1987          0       1810          0        32        1842
## 55           1955          0        384          0         0         384
## 56           1964        272        490          0       935        1425
## 57           2000        456        649          0       321         970
## 58           2004          0          0          0       860         860
## 59           2006       1031          0          0      1410        1410
## 60           1972          0        632          0       148         780
## 61           2004          0        941          0       217        1158
## 62           1996          0          0          0       530         530
## 63           2006        178         24          0      1346        1370
## 64           1950          0          0          0       576         576
## 66           2005        344          0          0      1143        1143
## 68           2003        167       1013          0       440        1453
## 69           1950          0          0          0       747         747
## 70           1953          0        603          0       701        1304
## 71           1973       1115       1880          0       343        2223
## 72           2006          0        565          0       280         845
## 73           1998         40          0          0       832         832
## 74           2003        104        320        362       404        1086
## 75           1950          0          0          0       840         840
## 76           1973          0        462          0         0         462
## 78           2001          0        336         41       295         672
## 80           1981          0          0          0       440         440
## 81           1968        576        448          0       448         896
## 82           1998        443       1201          0        36        1237
## 83           2007        468         33          0      1530        1563
## 84           1960         66          0          0      1065        1065
## 86           1992        284          0          0      1288        1288
## 87           2005          0          0          0       684         684
## 88           2009         76          0          0       612         612
## 91           1950          0          0          0         0           0
## 92           1961        203        600          0       635        1235
## 93           2006          0        713          0       163         876
## 94           1998          0       1046          0       168        1214
## 95           1997          0        648          0       176         824
## 97           1999        183       1162          0       426        1588
## 98           1965         48        520          0       440         960
## 99           1950          0        108          0       350         458
## 102          1985        336          0          0       741         741
## 103          1979          0          0          0         0           0
## 104          2009          0          0          0      1226        1226
## 106          2004        768          0          0      1053        1053
## 107          1995          0          0          0       641         641
## 108          1950          0        104        169       516         789
## 110          1977        480        705          0      1139        1844
## 111          1972          0        444          0       550         994
## 113          2007        220        984          0       280        1264
## 115          2002          0        774        150       104        1028
## 116          1999       1129        419          0       310         729
## 118          2007          0          0          0      1125        1125
## 119          1990          0       1470          0       203        1673
## 120          2006          0          0          0       728         728
## 122          1950          0          0          0       732         732
## 123          1958        135        570          0       510        1080
## 124          1993          0        300          0       899        1199
## 125          1998          0          0          0      1362        1362
## 129          1966        266        512          0       148         660
## 130          1991         85        567         28       413        1008
## 131          1966        309        445          0       479         924
## 133          2002          0        405          0       658        1063
## 135          1993          0        570          0       891        1461
## 136          1970        288          0          0      1304        1304
## 138          1989         70          0          0      1907        1907
## 139          2000        320        668          0       336        1004
## 140          1997          0        821          0       107         928
## 142          2005          0       1300          0       434        1734
## 143          1952          0        507          0       403         910
## 144          1999        183        679          0       811        1490
## 145          1963        336       1332          0       396        1728
## 146          2006         50          0          0       970         970
## 147          1993          0        209          0       506         715
## 151          1975          0        716          0       253         969
## 152          2008        436       1400          0       310        1710
## 155          1950          0          0          0      1200        1200
## 157          1950          0          0          0         0           0
## 158          2010         84          0          0       774         774
## 159          2005          0        222          0       769         991
## 160          2006        456         57          0      1335        1392
## 162          2004        664       1016          0       556        1572
## 163          2005        226       1201          0       340        1541
## 165          2004          0        370          0       779        1149
## 168          2007        300       1288          0       294        1582
## 169          2004          0          0          0       840         840
## 172          1960        112        639          0       441        1080
## 173          1987          0        495        215       354        1064
## 174          1961        491        288        374       700        1362
## 175          1986        132       1398        208         0        1606
## 176          2001          0        477          0       725        1202
## 177          1989        268        831          0       320        1151
## 179          2009        748       1904          0       312        2216
## 180          2006          0          0          0       968         968
## 182          1950          0        352          0       441         793
## 183          2006         98          0          0         0           0
## 184          2003          0          0          0      1362        1362
## 185          1991          0          0          0       504         504
## 186          1993          0          0          0      1107        1107
## 188          1987          0          0          0       660         660
## 189          1979        275       1086          0         0        1086
## 190          2002          0       1153          0       440        1593
## 191          1994          0        297          0       556         853
## 193          1999          0        560          0       871        1431
## 194          2004         50          0          0       970         970
## 195          1972          0        390          0       474         864
## 196          1976          0        566          0       289         855
## 197          2007        205       1126          0       600        1726
## 198          1990          0       1036        184       140        1360
## 200          2005        262       1088          0       625        1713
## 201          2004          0          0          0      1121        1121
## 202          1977          0        641        279       276        1196
## 203          1950          0        617          0         0         617
## 205          1950          0        312          0       408         720
## 206          1990          0          0          0      1424        1424
## 207          1962          0          0          0      1140        1140
## 210          1964        260        787          0       305        1092
## 212          2009          0         36          0      1176        1212
## 213          2009          0        822          0        78         900
## 214          1995          0        716          0       274         990
## 216          1996         64        360          0       710        1070
## 217          2004        266        946          0       490        1436
## 218          1950          0          0          0       686         686
## 220          2006         16         16          0      1232        1248
## 221          2006          0          0          0      1498        1498
## 223          1975          0        550          0       163         713
## 224          1971          0        524        180       160         864
## 225          2003        922         56          0      2336        2392
## 226          1971        142          0          0       630         630
## 227          1995        290        565          0       638        1203
## 228          1970        127        321          0       162         483
## 229          1967          0        842          0        70         912
## 230          2006         16         16          0      1357        1373
## 231          1959        220          0          0      1194        1194
## 232          1996        506        689          0       773        1462
## 233          1972        297          0          0       483         483
## 234          1976          0        182        712         0         894
## 236          1971        604        358          0       125         483
## 237          2004         98         24          0      1390        1414
## 239          2007        254          0          0      1694        1694
## 240          1950          0         94          0       641         735
## 241          2008         36       1078          0       488        1566
## 243          1950          0          0          0       540         540
## 244          1980          0          0          0       626         626
## 246          1988        102        929          0       916        1845
## 247          1950          0          0          0      1020        1020
## 248          1954          0          0          0      1367        1367
## 249          2003        101          0          0       840         840
## 252          2007        481       1573          0         0        1573
## 253          2004          0          0          0       798         798
## 254          1991        108        270        580       452        1302
## 255          1957          0        922          0       392        1314
## 256          1999        302          0          0       975         975
## 257          2003          0        503          0       361         864
## 258          2006        180       1334          0       270        1604
## 259          2001        172        361          0       602         963
## 260          1956          0          0          0         0           0
## 261          1962        399        672        690         0        1362
## 262          2007        270          0          0      1482        1482
## 263          1995         46        506          0         0         506
## 264          2001          0        234        692         0         926
## 265          2004          0          0          0       680         680
## 266          1981        210        588        228       606        1422
## 267          1997          0        714          0        88         802
## 268          1997          0        378          0       342         720
## 269          1955          0        403        125       212         740
## 271          2006          0          0          0      1095        1095
## 272          2005          0        226       1063        96        1385
## 273          2007        348        524          0       628        1152
## 274          1988        183        620        620         0        1240
## 275          1982          0        546          0       270         816
## 276          2007          0          0          0       952         952
## 277          2003          0          0          0      1560        1560
## 278          1951          0        120          0       744         864
## 279          2007        315          0          0      2121        2121
## 280          1977        299        392          0       768        1160
## 281          1989        340        421          0       386         807
## 282          2006         68        905          0       357        1262
## 283          2008        166        904          0       410        1314
## 284          2009         72          0          0      1468        1468
## 285          1992          0        430          0      1145        1575
## 286          2007          0          0          0       625         625
## 287          1981          0        600          0       312         912
## 290          2003          0          0          0       698         698
## 291          2006          0          0          0      1079        1079
## 293          2008          0        292          0       476         768
## 295          1953        238       1285          0       131        1416
## 296          1984          0        819          0       184        1003
## 297          1950          0        420          0       490         910
## 298          1998       1600        649          0       326         975
## 299          1968        365        384        175       143         702
## 300          2004          0          0          0      1092        1092
## 301          1953         56        841          0       324        1165
## 302          1999          0        281          0       747        1028
## 303          2002        150          0          0      1541        1541
## 304          1972          0        894          0         0         894
## 305          2002          0          0          0      1470        1470
## 306          2005        246       1464          0       536        2000
## 307          1991        246        700          0         0         700
## 310          2004          0       1274          0       622        1896
## 312          2002          0        680          0       292         972
## 313          1950          0        507          0       286         793
## 314          1965          0       1236        820        80        2136
## 315          1990          0         16          0       712         728
## 316          2005          0        425          0       291         716
## 317          1980        278        692          0       153         845
## 318          2006          0          0          0      1088        1088
## 319          1993        256        987          0       360        1347
## 321          2006        370          0          0      1249        1249
## 322          2004        388        970          0       166        1136
## 323          1987        172         28       1474         0        1502
## 324          2005          0        256          0       906        1162
## 325          2007        300          0          0       710         710
## 326          1950          0        116          0       604         720
## 327          1993          0       1619          0       100        1719
## 328          1960        175        565          0       818        1383
## 330          1950          0          0          0       596         596
## 332          1992          0        846          0       210        1056
## 333          2004        296       1124        479      1603        3206
## 334          2004        146        720          0       638        1358
## 335          1998          0        828          0       115         943
## 337          2006        200       1249          0       673        1922
## 338          2003        113        810          0       726        1536
## 339          1998          0        213          0       995        1208
## 340          1998        176        585          0       630        1215
## 341          2002          0          0          0       967         967
## 342          1950          0          0          0       721         721
## 344          2005        616         28          0      1656        1684
## 345          1976          0        129        232       175         536
## 346          1950          0          0          0       972         972
## 349          2004        106        573          0       191         764
## 350          2006        870       1410          0       438        1848
## 351          2007        362          0          0      1869        1869
## 353          1950          0        236        380         0         616
## 354          2003          0          0          0       624         624
## 355          2000          0        388          0       552         940
## 356          1995          0        334        544       322        1200
## 358          1976          0        874          0       268        1142
## 359          1958        120        300        294       468        1062
## 360          1998        530        956          0       130        1086
## 363          2003        500          0          0         0           0
## 364          2007        510        162          0       321         483
## 366          1997          0        456          0       216         672
## 368          1962        305        371          0       728        1099
## 369          1954        200        540          0       728        1268
## 372          1959          0          0          0         0           0
## 373          1984          0        623        121         0         744
## 374          1953          0        428        180         0         608
## 375          2004          0          0          0       847         847
## 377          1996          0        298          0       572         870
## 378          2005          0          0          0      1580        1580
## 379          2010        350       1445          0       411        1856
## 380          2000         16          0          0       982         982
## 381          1950          0        218          0       808        1026
## 382          2006          0          0          0      1293        1293
## 383          2006          0          0          0       939         939
## 384          1950          0          0          0       784         784
## 386          2005         16         24          0      1232        1256
## 388          1976        255        631          0       410        1041
## 389          2000        125          0          0      1468        1468
## 390          2008        272       1280          0       402        1682
## 391          1950          0        241        391       229         861
## 392          2002          0        690          0       114         804
## 395          1950          0          0          0       735         735
## 396          1956          0        739          0       405        1144
## 397          1972          0        777          0       117         894
## 398          1962        288        540          0       324         864
## 399          1950          0          0          0       961         961
## 400          2007        100        812          0       280        1092
## 401          1996          0        786          0       474        1260
## 402          2005          0         24          0      1286        1310
## 403          1997          0          0          0       672         672
## 404          1998        650          0          0      1141        1141
## 407          1950          0          0          0      1064        1064
## 408          1976          0          0          0       840         840
## 409          2006        350          0          0      1063        1063
## 410          2008        100        789          0       245        1034
## 411          1958          0          0          0      1276        1276
## 412          1955          0       1056          0         0        1056
## 414          1950          0          0          0      1008        1008
## 415          1993          0         50        531       499        1080
## 416          2007          0         24          0      1316        1340
## 417          1978        203        209          0       463         672
## 418          1950          0       1128          0       242        1370
## 419          1950          0        312          0       444         756
## 420          1968          0        775          0       281        1056
## 421          1998        200       1309          0        35        1344
## 423          1954          0          0          0       988         988
## 424          1998        473        986          0       484        1470
## 425          1956         74        616          0       580        1196
## 426          1992          0          0          0       651         651
## 428          1957          0        288          0       619         907
## 429          2007        108        664          0       544        1208
## 430          1988          0       1005          0       387        1392
## 431          1971        232        387          0        96         483
## 433          1971        376        471          0       294         765
## 434          1998          0          0          0       926         926
## 436          1996          0        385        344        70         799
## 437          1950          0          0          0       648         648
## 438          2004          0          0          0       884         884
## 439          2002          0        365          0        75         440
## 440          2000          0          0          0       684         684
## 441          2008        200       1767        539       788        3094
## 443          1992          0          0          0      1078        1078
## 444          2007         72          0          0      1258        1258
## 445          1995          0        642          0       273         915
## 446          1956          0          0          0      1436        1436
## 447          2002          0        247        713       557        1517
## 449          1950          0          0          0       780         780
## 450          2002          0        331          0       318         649
## 451          2005          0          0          0       813         813
## 452          1975          0        655          0       878        1533
## 454          2008          0          0          0       768         768
## 455          1976          0       1606          0       122        1728
## 456          1973        320        916          0       326        1242
## 457          1950          0          0          0       624         624
## 461          2009        110        544          0       288         832
## 462          2007          0        350        210         0         560
## 463          1965          0        553        311         0         864
## 464          1995          0        326          0       389         715
## 467          1970          0        778          0       499        1277
## 468          1995        224        386          0       342         728
## 469          2006        248          0          0      1626        1626
## 470          1993        120        426          0       406         832
## 472          1977          0          0          0       808         808
## 473          2005         80        459          0        88         547
## 474          2007        304       1350          0       626        1976
## 475          2000          0       1196          0       298        1494
## 476          1963          0        630          0       340         970
## 477          1998        215        994          0       484        1478
## 478          2006        772          0          0      2153        2153
## 479          2008        336       1288          0       417        1705
## 480          2000        435        168          0       739         907
## 481          2005        378       1261          0       572        1833
## 482          2004        562       1567          0       225        1792
## 483          2005          0        299          0       611         910
## 484          1998        116        897          0       319        1216
## 486          2007          0        607          0       506        1113
## 487          1965        168        836          0       237        1073
## 488          1971          0        998          0       486        1484
## 489          1970          0        664          0       290         954
## 490          2002          0        515          0       115         630
## 492          1950          0        403        165       238         806
## 493          2006          0          0          0       728         728
## 494          1960          0        374        532       363        1269
## 495          1996          0          0          0       190         190
## 498          1950          0        329          0       697        1026
## 499          2004         89        450          0       414         864
## 500          1985          0        111        279       522         912
## 501          1973        285        356          0       316         672
## 502          2005          0        400          0       466         866
## 503          1965          0        698         96       420        1214
## 504          1997          0       1247          0       254        1501
## 505          1974          0        257        495       103         855
## 506          1952        360          0          0       960         960
## 507          1994        125        380          0       397         777
## 508          2009          0         27          0      1191        1218
## 509          2005          0        141          0       548         689
## 510          1959        132        991          0        50        1041
## 511          2000         70        650        180       178        1008
## 512          2006         94          0          0      1368        1368
## 513          1958          0        521        174       169         864
## 514          1983          0        336          0       748        1084
## 515          1950          0          0          0       768         768
## 516          2009        305       1436          0       570        2006
## 518          1997        921          0          0      1264        1264
## 520          2004          0          0          0      1276        1276
## 522          1957          0        777          0       467        1244
## 523          1950          0        399          0       605        1004
## 524          2008        762       2260          0       878        3138
## 525          1997        594        719          0       660        1379
## 526          2005          0          0          0      1257        1257
## 527          2000          0        377          0       551         928
## 528          2008        268       1330          0       122        1452
## 531          1989        219        783          0       678        1461
## 532          1999          0          0          0       611         611
## 533          2007          0          0          0         0           0
## 535          2004          0          0          0       707         707
## 537          1999          0          0          0       880         880
## 541          2006        584       1260          0       578        1838
## 543          1999          0        144       1127       379        1650
## 544          1998        182        584        139         0         723
## 545          2006          0        554          0       100         654
## 547          1950          0        300          0       765        1065
## 548          1970          0        619          0       149         768
## 549          1995          0        180        645         0         825
## 550          2004          0          0          0       912         912
## 551          1977          0        559          0       510        1069
## 552          1957          0        308          0       620         928
## 553          2006        250          0          0      1709        1709
## 554          2003          0          0          0         0           0
## 555          2004        292        866          0       132         998
## 556          1950          0          0          0       993         993
## 557          1957          0        895          0       197        1092
## 558          1950          0        637          0         0         637
## 559          1997          0        604          0       125         729
## 562          1975          0       1071        123       195        1389
## 564          1950          0          0          0      1163        1163
## 566          1950          0          0          0       806         806
## 567          2007        245          0          0      1122        1122
## 568          2004        168          2          0      1515        1517
## 569          2009          0       1441          0        55        1496
## 571          1965        108        231          0      1497        1728
## 572          1959        207        414          0       450         864
## 573          2009          0          0          0       846         846
## 574          2000          0          0          0       384         384
## 575          2005         82        349          0        23         372
## 576          1950          0        442          0       390         832
## 577          1950          0          0          0       861         861
## 578          1966         97        328        551       285        1164
## 579          2007          0          0          0       689         689
## 580          1954        335          0          0      1050        1050
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## 585          1995          0          0          0       884         884
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## 589          2003          0       1324          0       113        1437
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## 591          2004          0        490          0       280         770
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## 596          2006        238       1422          0       392        1814
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## 598          2007         72          0          0      1258        1258
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## 603          1992          0        789          0       119         908
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## 605          2002         99        922          0       572        1494
## 606          1990        176        454          0       314         768
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## 609          1998          0        428          0       537         965
## 610          1961        192        903          0       126        1029
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## 619          2007        452         48          0      1774        1822
## 620          2003        226        871          0       611        1482
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## 626          1962        261          0          0      1116        1116
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## 632          2006        108         24          0      1530        1554
## 633          1977        209        822          0       564        1386
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## 638          1954          0          0          0       811         811
## 640          2006          0       1154          0       366        1520
## 641          2004        472       1218          0       300        1518
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## 644          1969        263        493        287         0         780
## 645          2009        162       1121          0       645        1766
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## 648          1953        216        500          0       594        1094
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## 653          1996          0          0          0       880         880
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## 655          1995        660       1696          0       413        2109
## 656          1971        381          0          0       525         525
## 657          2006         54        806          0       247        1053
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## 659          1950          0          0          0       912         912
## 660          1999          0        637          0       849        1486
## 662          2005        528       1361        180        88        1629
## 663          1968        216          0          0      1392        1392
## 664          1972          0        920        180        38        1138
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## 666          2000         40          0          0      1406        1406
## 668          1998        258       1138          0       270        1408
## 670          1950          0          0          0       700         700
## 671          2005          0        193          0       545         738
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## 678          2006          0          0          0       768         768
## 679          2008        464          0          0      2046        2046
## 681          1980          0        543        119       261         923
## 682          2000          0        182          0       611         793
## 684          2002        215       1059          0       567        1626
## 685          1998         30          0          0      1195        1195
## 687          2007          0          0          0       874         874
## 689          2007          0        945          0       474        1419
## 690          2006        256         20          0      1342        1362
## 692          1995       1170       1455          0       989        2444
## 693          1990        293        965          0       245        1210
## 694          1968          0          0          0      1073        1073
## 695          1950          0          0          0       927         927
## 696          1987         72        980         40        92        1112
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## 699          2009          0        553        117       224         894
## 700          2004          0         16          0      1375        1391
## 701          2002        630       1274          0       526        1800
## 702          1969        168          0          0      1164        1164
## 703          2006        466          0          0      1234        1234
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## 705          2005        109        712          0       761        1473
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## 716          1974        174          0          0      1064        1064
## 717          1998          0          0          0       718         718
## 718          2000          0       1084          0        92        1176
## 719          1994        651       1173          0       138        1311
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## 724          1972          0          0          0       941         941
## 725          2008        340       1234          0       464        1698
## 726          1970          0        375        239       250         864
## 728          2007         82        724          0       508        1232
## 729          1958         95          0          0      1584        1584
## 730          1950          0        152          0       628         780
## 731          1996          0       1180          0       415        1595
## 732          2003        442        786          0        82         868
## 733          1999        202        252          0       901        1153
## 734          1983          0        594          0       270         864
## 736          1970          0        390          0       490         880
## 737          1950          0          0          0         0           0
## 738          2005          0          0          0       893         893
## 740          2004          0          0          0       864         864
## 741          2002          0          0          0       264         264
## 742          1996          0        832          0        80         912
## 743          2001        108          0          0      1349        1349
## 744          1999          0        444          0        76         520
## 745          1993          0        733          0       604        1337
## 748          2003          0          0          0      1240        1240
## 749          1996        338        919          0       801        1720
## 750          1950          0          0          0         0           0
## 753          1997          0       1200          0       279        1479
## 754          2005        178          0          0      1030        1030
## 755          2005          0        439        472       115        1026
## 756          1999        894        381          0       348         729
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## 759          1999        360        549          0       195         744
## 760          1995        513         56         64      1198        1318
## 761          1959          0        612          0       252         864
## 762          1950          0        405          0       740        1145
## 763          2009          0         24          0       732         756
## 764          1999        673       1163          0        89        1252
## 765          1996          0        437       1057         0        1494
## 766          2008        284          0          0      1498        1498
## 767          1988         42        394          0       586         980
## 768          1985          0        660          0       323         983
## 769          2005          0         24          0      1836        1860
## 770          2003        603       1416          0       234        1650
## 772          1951          0        836          0         0         836
## 773          1976          0        422        127       480        1029
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## 775          2006        375          0          0      1935        1935
## 776          1998        320        866          0       338        1204
## 777          2006        240         20          0      1594        1614
## 778          1974          0        762          0       102         864
## 779          1977        320          0          0         0           0
## 780          1977         90        975          0         0         975
## 781          1996         38          0          0      1237        1237
## 782          1992          0        387          0       374         761
## 783          2002          0          0          0      1413        1413
## 787          1950          0        686          0         0         686
## 788          2004          0        656          0       300         956
## 789          2000          0          0          0       901         901
## 791          2006         11         16          0      1129        1145
## 793          1997          0        862          0       255        1117
## 794          2007        140          0          0      1496        1496
## 796          1981        130          0          0       650         650
## 797          1977        148          0          0       660         660
## 798          1953          0        570          0       203         773
## 799          2009        860          0          0      1926        1926
## 800          1950        252        569          0       162         731
## 801          1997          0        462          0       154         616
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## 803          2005          0        648          0        80         728
## 804          2009        424          0          0      1734        1734
## 805          1954          0        812          0       124         936
## 806          2008        256          0          0      1417        1417
## 807          1967          0        400        480       100         980
## 808          2004          0       1309          0        15        1324
## 809          1966       1047        516        128       380        1024
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## 811          1999         99        663        377         0        1040
## 813          1952          0          0          0       540         540
## 814          1958        243        608          0       834        1442
## 815          1950          0          0          0       686         686
## 816          1998        442          0          0      1649        1649
## 819          1971         80        504          0       506        1010
## 820          2010        128        733          0       625        1358
## 821          2003          0          0          0       798         798
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## 824          1950          0          0          0       778         778
## 825          2006          0          0          0      1489        1489
## 826          2008        816       1636          0       442        2078
## 828          2001          0         20          0      1434        1454
## 830          2005          0          0          0       600         600
## 831          1957        387       1040          0       352        1392
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## 833          2003        223        483          0       458         941
## 834          1964        180        196        345       975        1516
## 835          1961        136        572          0       572        1144
## 836          1995          0        442          0       625        1067
## 837          1973          0        338          0      1221        1559
## 838          1973        158        330          0       153         483
## 839          2006          0          0          0      1099        1099
## 840          1995          0        352          0       416         768
## 842          2002          0          0          0       650         650
## 843          1966        183        312        539       276        1127
## 845          1950          0          0          0       876         876
## 847          1993        137        513          0       227         740
## 848          1972          0        460          0       404         864
## 849          1997          0          0          0       907         907
## 850          1994        360          0          0       528         528
## 851          2003        170        659          0       189         848
## 853          1950          0        364          0       554         918
## 855          1974          0        306       1085       372        1763
## 858          1995          0          0          0       702         702
## 859          1976        189          0          0      1090        1090
## 861          1998          0          0          0       912         912
## 862          1965          0        841          0       198        1039
## 863          1985          0        338          0       702        1040
## 864          1959          0       1148          0         0        1148
## 865          2008          0          0          0      1372        1372
## 867          2007        274          0          0      1638        1638
## 868          1961          0        932          0       108        1040
## 870          1994        246        750          0       300        1050
## 871          1962          0          0          0       894         894
## 872          1998        116        505          0       299         804
## 873          1996          0          0          0       105         105
## 874          1950          0        375          0       457         832
## 875          1950          0          0          0       676         676
## 876          2007          0         64          0      1120        1184
## 877          1963          0        633          0       431        1064
## 878          2005        216       1170          0       292        1462
## 879          1995          0        899          0       210        1109
## 881          2006          0        980          0       110        1090
## 882          1991        117        902          0       254        1156
## 884          1950          0          0          0       795         795
## 885          1967         60        432          0       460         892
## 886          2000         60       1238          0       460        1698
## 887          2005        122        528          0      1098        1626
## 888          1955          0          0          0       816         816
## 889          1970          0        351        823      1043        2217
## 890          1953         90       1024          0       481        1505
## 891          2006          0          0          0       672         672
## 892          1978         92        226        500       192         918
## 893          2003          0        663          0       396        1059
## 895          1979          0          0          0         0           0
## 896          1963        415        400          0       380         780
## 897          1950          0        285          0       666         951
## 898          1979          0          0          0         0           0
## 899          2010        760       2188          0       142        2330
## 900          1994          0        465          0       447         912
## 902          2000          0        860          0       132         992
## 903          2003          0          0          0       783         783
## 904          2006         27          0          0      1670        1670
## 906          1954        110        354        290       412        1056
## 907          2006        208         63          0      1560        1623
## 908          1987          0        223          0       794        1017
## 910          2005          0          0          0       742         742
## 911          1960        361        443          0       662        1105
## 913          1950          0        489          0       279         768
## 914          1950          0        284          0       717        1001
## 915          2009         76        294          0       318         612
## 916          1970         80          0          0       546         546
## 917          1950          0         50          0       430         480
## 919          1991          0         48        634       422        1104
## 920          2002          0        528        411       245        1184
## 921          1994        105        814          0       114         928
## 923          2006          0         28          0      1288        1316
## 924          1994          0        165        841       598        1604
## 925          1980        157        625       1061         0        1686
## 927          2004        340          0          0      1181        1181
## 931          2007          0         16          0      1450        1466
## 932          1965          0        338        466       121         925
## 933          2006        302          0          0      1905        1905
## 934          2004        210         20          0      1480        1500
## 935          2007          0        425          0       160         585
## 936          1953        108          0          0       600         600
## 938          2005          0        341          0       772        1113
## 939          2006          0        464          0       927        1391
## 941          1976          0        936        396       396        1728
## 944          1967          0          0          0      1632        1632
## 946          1996          0       1088          0         0        1088
## 947          1959        128        748        294       102        1144
## 948          2003        236       1300          0       316        1616
## 949          2002        144          0          0       936         936
## 950          2006          0        982          0       179        1161
## 951          2002          0        398        149       317         864
## 952          1965          0        641          0       187         828
## 953          2003          0        660          0       108         768
## 956          1950        423        484          0       495         979
## 957          1980          0        285          0       276         561
## 958          1962          0        417          0       640        1057
## 959          2003          0        699          0       638        1337
## 960          1999          0        604          0        92         696
## 963          1976          0        556          0       248         804
## 964          2007          0          0          0      1800        1800
## 965          2003         44        624          0       193         817
## 966          2007          0          0          0       783         783
## 967          1950          0        428          0       300         728
## 970          1958        105        513          0        75         588
## 972          2004        106        567          0       197         764
## 973          1979          0          0          0       918         918
## 975          1993          0          0          0       728         728
## 979          1954          0        552          0       342         894
## 980          1963          0        651          0       470        1121
## 982          1999        975        854          0       371        1225
## 983          2007         16          0          0      1266        1266
## 985          1977          0          0          0         0           0
## 986          1950          0       1040          0       124        1164
## 987          2003          0          0          0       485         485
## 988          2010        450       1646          0       284        1930
## 990          2006          0          0          0       770         770
## 991          1998        423       1074          0       322        1396
## 992          1986          0        216          0       700         916
## 993          1993        340        536        117       169         822
## 994          2006          0          0          0       750         750
## 995          2007        230       1172          0       528        1700
## 996          1950          0        384          0       363         747
## 999          1950          0          0          0      1007        1007
## 1000         2006         24        686          0       501        1187
## 1001         1952          0          0          0         0           0
## 1002         1950          0          0          0       691         691
## 1003         2006         53         24          0      1550        1574
## 1005         2006         16         16          0      1330        1346
## 1006         1977        220        595          0       390         985
## 1008         1970          0        273        273         0         546
## 1009         2005        108          0          0      1710        1710
## 1011         1950          0          0          0       720         720
## 1013         1996          0          0          0       602         602
## 1014         2006          0        247        465       310        1022
## 1015         1950        206        336          0       746        1082
## 1016         2001          0        643          0       167         810
## 1017         1996        196        690          0       814        1504
## 1020         2005        145         16          0      1346        1362
## 1021         2005          0       1024          0       108        1132
## 1022         2006         84        684          0       515        1199
## 1023         1950          0        324          0       588         912
## 1024         2006         14         16          0      1330        1346
## 1026         1972          0        138        468       276         882
## 1027         1960        324        697          0       571        1268
## 1028         2008        338       1513          0       125        1638
## 1029         1950          0        368         41       359         768
## 1030         1972        281        317          0       355         672
## 1032         1970          0        523          0       301         824
## 1035         1950          0          0          0       920         920
## 1037         2008         70       1022          0       598        1620
## 1040         1970          0        509          0       121         630
## 1041         2000         67        168        682       284        1134
## 1043         2005        135        900          0       406        1306
## 1044         1990         99       1085          0       390        1475
## 1045         1981          0       1104          0      1420        2524
## 1047         2006        208        240          0      1752        1992
## 1048         1995          0        686          0       304         990
## 1049         2006         75          0          0         0           0
## 1050         2006          0          0          0         0           0
## 1051         2007          0          0          0      1302        1302
## 1052         2007          0          0          0      1316        1316
## 1053         1978        272        442          0       374         816
## 1054         2002        145        383          0       833        1216
## 1055         2002        210        932          0       133        1065
## 1056         1976        160        644          0       549        1193
## 1057         2005        240        659          0       705        1364
## 1059         2008        154        936          0       168        1104
## 1061         2001          0        616          0       722        1338
## 1062         1950          0          0          0       894         894
## 1063         1950          0          0          0       662         662
## 1064         1980          0        397          0       706        1103
## 1066         1997          0       1201          0       105        1306
## 1067         1994          0          0          0       799         799
## 1068         1964        360        674        106         0         780
## 1069         1973          0        837          0       105         942
## 1070         2003          0        220          0       625         845
## 1071         1956        120        586          0       462        1048
## 1072         1968          0        298          0       429         727
## 1073         1950          0          0          0       810         810
## 1074         1977        140        535          0       155         690
## 1075         2006          0          0          0      1240        1240
## 1076         1984          0        410          0       390         800
## 1077         1989          0        626          0       170         796
## 1079         2004        169        662          0       186         848
## 1080         1994          0        495          0       495         990
## 1081         2004        144        656          0       602        1258
## 1082         1963          0        824          0       216        1040
## 1083         2002        100          0          0      1459        1459
## 1084         1964        425        553          0       698        1251
## 1086         1992          0        747          0       189         936
## 1088         2006          0          0          0      1082        1082
## 1089         2004         50          0          0       970         970
## 1090         2005          0       1039          0       208        1247
## 1091         1950          0          0          0         0           0
## 1092         2000        212        510          0        90         600
## 1093         1950          0        423          0       758        1181
## 1094         1998        166        661          0       203         864
## 1095         2000          0        248        240       448         936
## 1096         2006          0         24          0      1290        1314
## 1099         1950          0        672          0         0         672
## 1100         1978        206        704          0       567        1271
## 1101         1950          0        290          0         0         290
## 1102         1971          0        412        287       251         950
## 1103         2002         45        588          0       422        1010
## 1104         1959          0        655          0         0         655
## 1105         1970        304          0          0       630         630
## 1106         1995        362       1032          0       431        1463
## 1107         1991          0        738          0       172         910
## 1108         2006          0          0          0       868         868
## 1110         2005         42       1039          0       797        1836
## 1112         1976        660        403          0       400         803
## 1113         1957          0        708          0       108         816
## 1114         2006          0        643          0       365        1008
## 1115         2000          0        415          0       418         833
## 1116         2007        328       1004          0       730        1734
## 1118         2003          0        702          0       192         894
## 1119         1987          0          0          0       533         533
## 1120         1959          0        369          0       671        1040
## 1121         1950          0          0          0      1012        1012
## 1122         2006        196         24          0      1528        1552
## 1126         1955          0          0          0      1005        1005
## 1127         2007        130          0          0      1373        1373
## 1128         2004          0       1300          0       230        1530
## 1129         2005          0          0          0       847         847
## 1130         1980        180        936          0         0         936
## 1131         1950          0        622          0       500        1122
## 1133         1950          0          0          0      1008        1008
## 1134         1995          0        584          0       544        1128
## 1135         1997          0          0          0       916         916
## 1136         1950          0          0          0       960         960
## 1137         1950          0        280          0       752        1032
## 1140         1950          0        645          0       270         915
## 1141         1951          0        852          0       100         952
## 1143         2007        340       1150          0       316        1466
## 1145         1950          0        348          0       324         672
## 1146         1950          0          0          0      1042        1042
## 1148         1950          0        275          0       429         704
## 1150         1988          0        624          0        26         650
## 1151         1950          0          0          0       932         932
## 1152         1959        132        176          0      1290        1466
## 1153         2004          0        296        547       230        1073
## 1156         2004          0       1157          0       280        1437
## 1157         1999          0        633          0       586        1219
## 1158         2008        166        904          0       410        1314
## 1159         2008        186          0          0      1580        1580
## 1160         1974        270        442          0       459         901
## 1161         1978          0        311          0       544         855
## 1163         1968          0        492          0       402         894
## 1164         1969          0       1198          0         0        1198
## 1166         2009        268          0          0      1502        1502
## 1167         2008         72          0          0      1694        1694
## 1168         2000          0        786          0       173         959
## 1169         1986          0        626          0       501        1127
## 1170         1996       1378       1387          0       543        1930
## 1171         1977          0        522          0       574        1096
## 1172         1958          0        662          0       599        1261
## 1173         2007          0          0          0       625         625
## 1175         1950          0        503          0       449         952
## 1176         2000        337        700          0       983        1683
## 1177         1985          0        658          0       218         876
## 1179         1950          0          0          0       731         731
## 1182         2008        186       1480          0       120        1600
## 1183         1996          0       2096          0       300        2396
## 1184         1950          0        821          0       299        1120
## 1185         1963        226       1159          0       413        1572
## 1186         1950          0        392          0       392         784
## 1187         1970          0        440          0       538         978
## 1188         1995          0       1456          0       168        1624
## 1189         2002         95          0          0       831         831
## 1190         1999          0          0          0       994         994
## 1192         2000        456          0          0       776         776
## 1193         1994          0          0          0       702         702
## 1195         1969        143        371          0       292         663
## 1196         2005          0          0          0       728         728
## 1197         2006          0          0          0       879         879
## 1198         1950          0          0          0       815         815
## 1199         2001          0          0          0      1212        1212
## 1200         1979         51        547          0       504        1051
## 1201         1970          0          0          0       864         864
## 1202         1998          0          0          0       866         866
## 1203         1997          0          0          0       884         884
## 1204         2001        171          0          0      1630        1630
## 1205         1975          0        788          0       268        1056
## 1206         1991        234        485        177      1496        2158
## 1208         2003        120        340          0      1342        1682
## 1209         1980          0        504        108       319         931
## 1210         2006        420       1220          0       440        1660
## 1211         1992          0          0          0      1055        1055
## 1212         2005          0        427          0       132         559
## 1213         1950          0        344          0       328         672
## 1215         1962          0        784          0       141         925
## 1216         1966          0        180        374       340         894
## 1217         1978          0          0          0         0           0
## 1218         2009         72        936          0       364        1300
## 1221         1964          0        312        600         0         912
## 1222         1968          0        250        492       210         952
## 1223         1950        320        196          0       844        1040
## 1224         1951         44        756          0      1380        2136
## 1225         2005          0        724          0        64         788
## 1226         1958         63        507          0        81         588
## 1227         2007         74          0          0       894         894
## 1228         2008        300        595          0       317         912
## 1229         2008        766       1540          0       162        1702
## 1230         1960          0        666          0       409        1075
## 1232         1962        120        803          0       303        1106
## 1233         1962          0          0          0         0           0
## 1236         1950          0          0          0       747         747
## 1237         2003        106          0          0       764         764
## 1238         2005          0          0          0       847         847
## 1239         2005          0          0          0      1141        1141
## 1240         2006         32        428          0      1048        1476
## 1241         2003        252        550          0       334         884
## 1242         2007          0          0          0      1689        1689
## 1243         1974         81        885        168         0        1053
## 1246         2003         74          0          0       585         585
## 1247         2006          0          0          0       756         756
## 1249         1950          0        319          0       416         735
## 1250         1950          0        534         96       246         876
## 1251         1968          0       1065          0      1045        2110
## 1253         1968          0        510          0       354         864
## 1255         2004         92          0          0       746         746
## 1256         1950          0        425          0       459         884
## 1257         1994        554       1314          0       672        1986
## 1259         2005        182        655          0       201         856
## 1260         1969          0        602        438        14        1054
## 1262         1956          0        504          0       546        1050
## 1264         1950          0          0          0       764         764
## 1265         1999          0        266          0      1139        1405
## 1266         1999        218        450          0       241         691
## 1267         1950          0          0          0       925         925
## 1268         2009          0          0          0      2002        2002
## 1270         1958        180        460          0       414         874
## 1274         2006         84        719          0       300        1019
## 1275         2003          0          0          0       661         661
## 1276         1950        567        220          0       708         928
## 1280         1950          0          0          0       698         698
## 1281         2002        110        788          0       785        1573
## 1282         1990         54       1053          0       256        1309
## 1283         2008          0        532        144       364        1040
## 1285         1990          0          0          0       804         804
## 1286         1950          0          0          0       780         780
## 1289         2000          0       1158          0       343        1501
## 1290         2006        788          0          0      1085        1085
## 1292         1972        268        231          0       399         630
## 1293         1965          0          0          0       994         994
## 1294         1976          0        194          0       638         832
## 1295         1990          0        167          0       697         864
## 1296         1968        168       1016          0        36        1052
## 1297         1963        148        776          0       344        1120
## 1298         2006         82        547          0         0         547
## 1299         2008        796       5644          0       466        6110
## 1300         1994          0        340        906         0        1246
## 1303         1994        391        740          0       425        1165
## 1304         2005        228          0          0      1616        1616
## 1305         2004        117          0          0       976         976
## 1306         2007        300       1572          0        80        1652
## 1307         2006         94          0          0      1368        1368
## 1308         1995          0        746          0       244         990
## 1309         2005          0        144        608       172         924
## 1311         2002          0       1406          0       496        1902
## 1312         2007         80        925          0       349        1274
## 1314         1999        165          0          0      1393        1393
## 1315         1954          0        732          0       216         948
## 1316         1969          0        500        276       176         952
## 1317         2008        270          0          0      1622        1622
## 1318         2007          0          0          0      1352        1352
## 1320         1954        132        492          0       372         864
## 1321         1957          0        189        661       628        1478
## 1323         1992          0        674          0        76         750
## 1325         2007        428          0          0      1795        1795
## 1328         2008          0        641          0       175         816
## 1329         1950          0        493          0      1017        1510
## 1330         1998          0          0          0       935         935
## 1331         2006        410          0          0      1588        1588
## 1332         1976          0        483          0       428         911
## 1333         1958          0        690          0       126         816
## 1334         1995          0          0          0       803         803
## 1335         1970        312        765          0         0         765
## 1336         1977        360        686          0       664        1350
## 1337         1973        564          0          0      1656        1656
## 1339         2002          0        700          0       216         916
## 1340         1972          0        360          0       504         864
## 1341         1971          0          0          0       858         858
## 1342         2004          0        814          0       300        1114
## 1344         1950          0          0          0       896         896
## 1345         2006          0          0          0       728         728
## 1346         1950          0        250          0       710         960
## 1348         2007        100         80          0      1652        1732
## 1351         1969        368        500          0       748        1248
## 1352         1962        318        319          0       539         858
## 1353         2000          0          0          0       698         698
## 1354         1996        579        816          0      1217        2033
## 1356         1992        143          0          0       570         570
## 1360         2005         66       1447          0       533        1980
## 1361         1998          0          0          0       612         612
## 1362         2005         16       1274          0       256        1530
## 1364         2007          0          0          0       616         616
## 1365         2005          0          0          0       600         600
## 1367         1999        158        633          0       240         873
## 1368         1977          0        548        173        36         757
## 1370         2003        171        370        972       315        1657
## 1371         1950          0        315        105       420         840
## 1372         1996          0        831          0       161         992
## 1373         1998          0        975          0       133        1108
## 1375         2005          0          0          0      1026        1026
## 1376         2007         80          0          0      1571        1571
## 1377         1950          0        384          0       384         768
## 1378         1960          0        408        420       156         984
## 1379         1973        408        309          0       174         483
## 1380         2007          0          0          0       384         384
## 1381         1950          0        203          0       661         864
## 1383         1950          0          0          0       596         596
## 1385         1950          0        204          0       356         560
## 1386         2007          0        735          0        61         796
## 1387         1978        184        790        469       133        1392
## 1388         1950          0        168        546         0         714
## 1389         2007        160       1320          0       426        1746
## 1390         1950          0        375          0       360         735
## 1391         2000        244       1400          0       125        1525
## 1392         1967          0          0          0      1584        1584
## 1393         1967          0        769          0        95         864
## 1394         2000          0          0          0       482         482
## 1395         2006         45       1070          0       286        1356
## 1396         2006        245          0          0      1094        1094
## 1398         2004          0          0          0       939         939
## 1399         1982          0        180        352       676        1208
## 1400         1990          0        264          0       712         976
## 1401         1950          0          0          0       862         862
## 1402         2004          0        759          0        80         839
## 1403         2006          0          0          0      1286        1286
## 1404         2007         84        929          0       556        1485
## 1405         1950          0          0          0       672         672
## 1406         2005        174       1373          0       221        1594
## 1407         2007          0        656          0       112         768
## 1409         1950          0          0          0       622         622
## 1410         1991        123          0          0       791         791
## 1411         2001          0        666          0       278         944
## 1412         2005          0        120          0       736         856
## 1413         1950          0          0          0         0           0
## 1414         2006        366        976          0       868        1844
## 1415         2000          0          0          0       833         833
## 1416         2007        130        988          0       398        1386
## 1417         1950          0          0          0       777         777
## 1419         1963          0         25        872       247        1144
## 1421         1968        420        404          0       304         708
## 1422         1977          0        360          0       709        1069
## 1423         2003        170        686          0       162         848
## 1426         1959        243          0          0      1252        1252
## 1427         1994        448       1000          0       223        1223
## 1428         1950          0        580          0       333         913
## 1429         1992        294        510          0       278         788
## 1431         2005          0          0          0       732         732
## 1433         2007          0          0          0       656         656
## 1434         2000        318          0          0       936         936
## 1435         1977          0        936          0       190        1126
## 1436         2005        237          0          0      1319        1319
## 1437         1971          0        616          0       248         864
## 1438         2008        426       1336          0       596        1932
## 1439         1996          0        600          0       312         912
## 1440         1979         96        315        110       114         539
## 1441         1994          0          0          0       588         588
## 1443         2008        160        765          0       252        1017
## 1445         2004        106          0          0      1422        1422
## 1446         1966          0        187        627         0         814
## 1448         1996        438       1079          0       141        1220
## 1449         2000          0          0          0       560         560
## 1452         2009        194          0          0      1573        1573
## 1453         2005         80        547          0         0         547
## 1455         2005          0        410          0       811        1221
## 1456         2000          0          0          0       953         953
## 1457         1988        119        790        163       589        1542
## 1458         2006          0        275          0       877        1152
## 1459         1996          0         49       1029         0        1078
## 1460         1965          0        830        290       136        1256
##      X1stFlrSF X2ndFlrSF LowQualFinSF GrLivArea BsmtFullBath BsmtHalfBath
## 1          856       854            0      1710            1            0
## 2         1262         0            0      1262            0            1
## 3          920       866            0      1786            1            0
## 4          961       756            0      1717            1            0
## 5         1145      1053            0      2198            1            0
## 6          796       566            0      1362            1            0
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## 12        1182      1142            0      2324            1            0
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##      FullBath HalfBath BedroomAbvGr KitchenAbvGr TotRmsAbvGrd Fireplaces
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## 1303        2        1            4            1            8          1
## 1304        2        0            3            1            7          0
## 1305        2        0            3            1            7          0
## 1306        2        0            2            1            6          2
## 1307        2        0            2            1            6          1
## 1308        1        0            3            1            5          0
## 1309        1        0            2            1            6          0
## 1311        2        0            3            1            7          2
## 1312        2        0            3            1            6          0
## 1314        2        1            4            1           10          1
## 1315        1        0            3            1            5          1
## 1316        2        1            4            1            9          2
## 1317        2        0            3            1            8          1
## 1318        2        0            2            1            5          1
## 1320        1        0            3            1            5          0
## 1321        1        1            3            1            6          2
## 1323        2        1            3            1            8          1
## 1325        2        0            2            1            7          1
## 1328        1        0            3            1            5          1
## 1329        2        0            5            1            8          2
## 1330        2        1            3            1            8          1
## 1331        2        0            3            1            7          1
## 1332        1        0            3            1            6          0
## 1333        1        0            2            1            3          1
## 1334        1        1            2            1            6          0
## 1335        1        1            3            1            7          0
## 1336        2        0            2            1            6          1
## 1337        2        0            4            2            8          0
## 1339        2        1            3            1            8          0
## 1340        1        0            3            1            5          0
## 1341        1        0            3            1            5          0
## 1342        1        0            3            1            6          0
## 1344        1        1            3            1            9          1
## 1345        2        1            3            1            8          1
## 1346        1        0            2            1            5          0
## 1348        2        0            3            1            7          1
## 1351        2        2            6            2           12          0
## 1352        1        1            4            1            8          1
## 1353        1        0            2            1            4          0
## 1354        2        1            4            1            9          1
## 1356        3        0            4            1            8          1
## 1360        2        0            3            1            8          1
## 1361        3        1            4            1            8          0
## 1362        2        0            3            1            7          1
## 1364        2        1            3            1            6          1
## 1365        2        1            2            1            4          0
## 1367        2        1            3            1            7          0
## 1368        2        0            4            1            6          1
## 1370        2        0            3            1            8          1
## 1371        1        0            2            1            6          0
## 1372        1        0            3            1            8          1
## 1373        2        1            3            1            8          1
## 1375        2        1            3            1            9          1
## 1376        2        0            3            1            7          1
## 1377        1        0            2            1            4          0
## 1378        2        0            3            1            6          0
## 1379        1        1            2            1            5          0
## 1380        2        1            3            1            7          0
## 1381        1        0            2            1            5          0
## 1383        1        1            4            1            8          0
## 1385        1        0            2            1            6          0
## 1386        1        0            3            1            7          0
## 1387        3        1            5            1           12          2
## 1388        2        0            5            1           10          1
## 1389        2        0            3            1            7          2
## 1390        1        0            3            1            6          1
## 1391        2        0            3            1            6          0
## 1392        2        0            4            2            8          0
## 1393        1        0            3            1            6          1
## 1394        2        0            3            2            7          1
## 1395        2        0            2            1            6          1
## 1396        2        1            4            1            9          1
## 1398        1        1            4            1            8          0
## 1399        1        1            3            1            7          0
## 1400        2        1            3            1            7          1
## 1401        1        0            3            1            5          1
## 1402        2        1            3            1            8          1
## 1403        2        0            2            1            6          1
## 1404        2        0            3            1            6          0
## 1405        1        0            3            1            6          0
## 1406        2        0            2            1            5          1
## 1407        1        0            2            1            5          0
## 1409        1        0            3            1            6          0
## 1410        2        1            3            1            7          1
## 1411        2        1            3            1            6          0
## 1412        1        1            3            1            6          0
## 1413        2        0            2            2            6          0
## 1414        2        0            2            1            7          1
## 1415        1        1            4            1            8          1
## 1416        2        0            1            1            7          1
## 1417        2        0            4            2           11          0
## 1419        1        1            3            1            6          0
## 1421        2        1            3            1            7          1
## 1422        2        0            2            1            4          1
## 1423        1        0            1            1            3          0
## 1426        1        0            3            1            7          0
## 1427        2        1            3            1            5          2
## 1428        1        1            3            1            6          1
## 1429        1        0            2            1            4          2
## 1431        2        1            4            1            7          1
## 1433        2        0            4            1            5          0
## 1434        2        1            3            1            8          1
## 1435        2        0            3            1            5          1
## 1436        1        1            3            1            7          1
## 1437        1        0            3            1            5          0
## 1438        2        0            2            1            7          1
## 1439        1        0            2            1            6          0
## 1440        2        1            3            1            6          1
## 1441        2        0            3            1           11          1
## 1443        2        1            3            1           10          1
## 1445        2        0            3            1            7          0
## 1446        1        0            3            1            6          0
## 1448        2        1            3            1            8          1
## 1449        1        1            2            1            6          0
## 1452        2        0            3            1            7          1
## 1453        1        0            2            1            5          0
## 1455        2        0            2            1            6          0
## 1456        2        1            3            1            7          1
## 1457        2        0            3            1            7          2
## 1458        2        0            4            1            9          2
## 1459        1        0            2            1            5          0
## 1460        1        1            3            1            6          0
##      GarageYrBlt GarageCars GarageArea WoodDeckSF OpenPorchSF EnclosedPorch
## 1           2003          2        548          0          61             0
## 2           1976          2        460        298           0             0
## 3           2001          2        608          0          42             0
## 4           1998          3        642          0          35           272
## 5           2000          3        836        192          84             0
## 6           1993          2        480         40          30             0
## 7           2004          2        636        255          57             0
## 9           1931          2        468         90           0           205
## 10          1939          1        205          0           4             0
## 11          1965          1        384          0           0             0
## 12          2005          3        736        147          21             0
## 14          2006          3        840        160          33             0
## 16          1991          2        576         48         112             0
## 18          1967          2        516          0           0             0
## 19          2004          2        576          0         102             0
## 20          1958          1        294          0           0             0
## 21          2005          3        853        240         154             0
## 22          1930          1        280          0           0           205
## 23          2002          2        534        171         159             0
## 24          1976          2        572        100         110             0
## 26          2007          3        890          0          56             0
## 27          2005          2        576        222          32             0
## 28          2008          3        772          0          50             0
## 29          1957          1        319        288         258             0
## 30          1920          1        240         49           0            87
## 31          1920          1        250          0          54           172
## 33          2007          2        484          0          30             0
## 34          1959          2        447          0          38             0
## 35          2005          2        556        203          47             0
## 36          2004          3        691        113          32             0
## 37          1995          2        672        392          64             0
## 38          1954          2        498          0           0             0
## 39          1953          1        246          0          52             0
## 41          1965          2        440          0         138             0
## 42          1959          1        308          0         104             0
## 45          1959          1        300          0           0             0
## 46          2005          2        576        196          82             0
## 47          2003          2        670        168          43             0
## 48          2006          3        826          0         146             0
## 50          1966          1        386          0           0             0
## 52          1985          2        528        112           0             0
## 53          1963          2        516        106           0             0
## 54          1981          3        894        857          72             0
## 55          1962          2        572          0          50             0
## 56          1964          2        576          0           0             0
## 57          1999          2        480        115           0             0
## 58          2004          2        565          0          70             0
## 59          2006          3        641        192           0            37
## 60          1973          1        352        196           0             0
## 61          2006          2        576          0          50             0
## 62          1935          1        288          0           0           144
## 63          2006          2        484        120          49             0
## 64          1990          2        480         12          11            64
## 66          2004          3        852        192         151             0
## 68          2003          2        558        144          29             0
## 69          1945          1        220          0           0             0
## 70          1953          2        667          0          21           114
## 71          1973          2        516        300           0             0
## 72          1987          2        360          0           0             0
## 73          1998          2        427          0          94             0
## 74          1989          2        490          0           0             0
## 75          1915          1        379          0           0           202
## 76          1973          1        297        120         101             0
## 78          1948          1        240          0           0             0
## 80          1966          2        440         74           0           128
## 81          1968          1        509          0          72             0
## 82          1998          2        405          0         199             0
## 83          2007          3        758        144          99             0
## 84          1974          2        461         74           0             0
## 86          1991          2        462        127          82             0
## 87          2005          2        400        100          38             0
## 88          2009          2        528          0         234             0
## 91          1950          2        420          0          29             0
## 92          1961          2        480          0           0             0
## 93          1921          2        432          0           0            44
## 94          1900          2        506          0           0             0
## 95          1997          2        684          0         162             0
## 97          1999          2        472        158          29             0
## 98          1965          1        432        120           0             0
## 99          1920          1        366          0           0            77
## 102         1985          2        476        192          46             0
## 103         1979          2        410          0           0             0
## 104         2009          3        740          0          36             0
## 106         2003          2        648        140          45             0
## 107         1954          1        273          0           0             0
## 108         1948          1        250          0           0             0
## 110         1977          2        546          0         122             0
## 111         1954          1        325        182           0             0
## 113         2007          3        792        120         184             0
## 115         1945          1        180        224           0             0
## 116         1999          2        440          0          32             0
## 118         2007          2        430         80          64             0
## 119         1990          3        594        367           0             0
## 120         2005          2        390          0          24             0
## 122         1979          1        264          0           0           140
## 123         1958          1        288          0           0             0
## 124         1993          2        530          0          63             0
## 125         1979          2        435        192           0             0
## 129         1966          2        453        188         108             0
## 130         1998          2        750          0          80             0
## 131         1966          2        487        105          66             0
## 133         1974          2        624          0           0             0
## 135         1968          2        440          0          96           180
## 136         1970          2        530         98           0             0
## 138         1989          3        766          0           0             0
## 139         1999          3        660        224         106             0
## 140         1997          2        470        276          99             0
## 142         2005          2        660        160          24             0
## 143         2000          2        720          0           0             0
## 144         1999          2        577        144          29             0
## 145         1963          2        504          0           0             0
## 146         2004          2        380          0          40             0
## 147         1931          1        180         48           0             0
## 151         1975          2        440          0           0             0
## 152         2007          3        866          0         102             0
## 155         1923          1        312          0           0           228
## 157         1950          2        625          0           0             0
## 158         2009          3        680          0          75             0
## 159         2004          2        678          0         136             0
## 160         2006          2        576        239         132             0
## 162         2003          3        726        400           0             0
## 163         2005          2        532          0          70             0
## 165         1926          1        216          0           0           183
## 168         2007          3        789        178         120             0
## 169         2004          2        440        100          48             0
## 172         1960          2        528        210          62             0
## 173         1987          2        504        441          35             0
## 174         1961          2        504          0          20             0
## 175         1986          2        616        192           0             0
## 176         1950          2        576          0          29            39
## 177         1988          2        521          0         228             0
## 179         2009          3       1166          0          60             0
## 180         1935          2        480          0           0           184
## 182         1920          1        216          0           0            40
## 183         1957          1        252        116           0             0
## 184         2003          2        484        280         238             0
## 185         1986          2        576        104           0             0
## 186         1993          3        840          0         260             0
## 188         1916          1        180          0           0             0
## 189         1979          2        528        120           0             0
## 190         2001          2        682          0         120             0
## 191         1932          2        440          0          74             0
## 193         1999          2        666          0          35             0
## 194         2004          2        380          0          40             0
## 195         1989          1        352          0           0             0
## 196         1976          2        440         87           0             0
## 197         2007          3        786        171         138             0
## 198         1918          2        795          0          16           552
## 200         2004          3        856          0          26             0
## 201         2003          2        440        132          64             0
## 202         1980          2        473        238          83             0
## 203         1924          1        398          0           0           126
## 205         1948          1        240          0          35             0
## 206         1990          2        500          0          34             0
## 207         1962          1        349          0          30             0
## 210         1964          2        504          0           0             0
## 212         2009          2        460        100          22             0
## 213         2009          2        644        168         108             0
## 214         1996          2        576        224           0             0
## 216         1957          1        447          0           0             0
## 217         2004          2        484        139          98             0
## 218         1940          1        210          0         172            60
## 220         2005          2        438        108           0             0
## 221         2006          2        675        351          33             0
## 223         1975          2        434        209         208             0
## 224         1989          2        576        216           0             0
## 225         2003          3        968        248         105             0
## 226         1991          1        280          0           0             0
## 227         1995          3        721        224         114             0
## 228         1987          1        280          0           0             0
## 229         1974          1        336          0           0             0
## 230         2005          2        430        143          20             0
## 231         1959          1        312          0           0           120
## 232         1995          3        810          0         146           202
## 233         1972          1        288          0           0             0
## 234         1976          1        308        365           0             0
## 236         1971          1        264          0           0             0
## 237         2004          2        494        132         105             0
## 239         2007          3        818        168         228             0
## 240         1949          1        220          0         140             0
## 241         2008          2        750        144         168             0
## 243         1940          1        352          0           0            77
## 244         1980          1        288          0          28             0
## 246         1988          2        604        197          39             0
## 247         1910          1        440          0          60           112
## 248         1954          2        451          0          30             0
## 249         2003          2        500        144          68             0
## 252         2006          2        538        123           0             0
## 253         2004          2        520        138          45             0
## 254         1964          1        309        333           0             0
## 255         1957          1        294        250           0             0
## 256         1999          2        429        192           0             0
## 257         2003          2        673        216          56             0
## 258         2006          2        660        123         110             0
## 259         2001          2        564          0          96             0
## 260         1956          1        308          0          45             0
## 261         1991          2        884          0           0           252
## 262         2007          3        868          0         148             0
## 263         1978          2        492        292          12             0
## 264         1974          2        484          0           0             0
## 265         1965          2        504          0           0             0
## 266         1981          2        576        276           0             0
## 267         1997          2        413         95          75             0
## 268         1939          1        240        262          24             0
## 269         1966          1        924          0          25             0
## 271         2006          3       1053        192          51             0
## 272         1954          2        439         81           0             0
## 273         1999          3        671        132          57             0
## 274         1958          1        338        289           0             0
## 275         1982          1        264        168           0             0
## 276         1978          2        672         74           0             0
## 277         2003          2        573        100         150             0
## 278         1951          2        400          0           0             0
## 279         2007          3        732        124          98             0
## 280         1977          2        505        288         117             0
## 281         1989          2        575          0          84             0
## 282         2006          2        572          0         120             0
## 283         2008          2        626        172          62             0
## 284         2008          3        898        210         150             0
## 285         1992          2        529          0           0            52
## 286         2006          2        528          0          54             0
## 287         1962          2        440          0           0             0
## 290         2003          1        384          0           0             0
## 291         2006          2        685          0          51             0
## 293         1949          1        281          0           0             0
## 295         1953          2        418        110           0             0
## 296         1984          2        588        120           0             0
## 297         1950          1        282        289           0             0
## 298         1997          2        576          0          10             0
## 299         1968          2        539        224           0             0
## 300         1950          1        300          0          36             0
## 301         1953          1        375          0           0             0
## 302         1998          2        683        208          50             0
## 303         2001          3        843        468          81             0
## 304         1975          2        552        256           0             0
## 305         2003          3        870        302           0             0
## 306         2004          3        888        168           0             0
## 307         1990          3        746        127          44           224
## 310         2003          3        708        208         175             0
## 312         1948          1        240          0           0             0
## 313         1939          2        410          0           0             0
## 314         1965          2        513          0           0             0
## 315         1925          2        546          0           0           234
## 316         2004          2        432        100          51             0
## 317         1983          2        484        288         195             0
## 318         2006          3       1025        208          46             0
## 319         1993          3        656        340          60           144
## 321         2006          3        840        240         154             0
## 322         2004          3        872        184         154             0
## 323         1987          2        576        201          96             0
## 324         1955          1        220        142          98             0
## 325         1961          2        564        240           0             0
## 326         1941          2        360          0           0           244
## 327         1993          2        473        122          30             0
## 328         1960          1        292          0          45             0
## 330         1920          1        189          0           0           137
## 332         1958          1        308          0           0             0
## 333         2003          3        880          0           0             0
## 334         2004          2        484        192          30             0
## 335         1998          2        472        100          38             0
## 337         2005          3        676        178          51             0
## 338         2002          2        532        192          74             0
## 339         1984          2        440        108          45             0
## 340         1958          1        297          0           0             0
## 341         2002          2        431        135           0             0
## 342         1950          1        294        250           0            24
## 344         2005          2        564        495          72             0
## 345         1976          1        336        182           0             0
## 346         1939          1        312          0           0             0
## 349         2003          2        474          0          27             0
## 350         2006          3        706          0           0             0
## 351         2007          2        617        210          54             0
## 353         1941          1        200         48           0             0
## 354         2005          2        484        106           0             0
## 355         1940          1        240          0           0           108
## 356         1995          2        521          0          26             0
## 358         1976          2        528        536          90             0
## 359         1958          1        288        168           0           294
## 360         1998          2        592        208          75             0
## 363         2003          2        672          0           0           177
## 364         1972          1        264        250           0             0
## 366         1964          1        468          0         128           218
## 368         1962          1        296         64         110             0
## 369         1954          1        244          0          98             0
## 372         1991          2        680          0          59             0
## 373         1984          1        264        353           0             0
## 374         1953          1        270         66           0             0
## 375         2003          2        434        100          48             0
## 377         1998          2        576          0           0             0
## 378         2004          2        610        159         214             0
## 379         2010          3        834        113           0             0
## 380         2000          2        463        100          63             0
## 381         1924          1        308          0           0           242
## 382         2006          2        572        216         121             0
## 383         2006          2        639        144          53             0
## 384         1950          2        360          0           0            91
## 386         2004          2        430        146          20             0
## 388         1977          1        352        296           0             0
## 389         1999          2        577        120          25             0
## 390         2008          3        846        196         134             0
## 391         1978          1        384          0         130           112
## 392         2001          2        560        125         192             0
## 395         1940          1        240          0          39             0
## 396         1956          1        596         44           0             0
## 397         1985          2        600        215           0             0
## 398         1962          1        264          0         168             0
## 399         1920          1        338          0           0             0
## 400         2007          2        438          0         168             0
## 401         1996          2        500        120          30             0
## 402         2005          2        400          0           0             0
## 403         1940          1        240        168           0             0
## 404         1998          2        420        144         123             0
## 407         1936          1        240          0           0             0
## 408         1960          1        308          0           0           160
## 409         2006          3        947        192          62             0
## 410         2008          3        836          0         102             0
## 411         1958          1        350          0           0             0
## 412         1955          2        572        264           0             0
## 414         1927          2        360          0           0           130
## 415         1993          3        678        196         187             0
## 416         2007          2        396        100          30             0
## 417         1978          2        440          0           0             0
## 418         1918          3        864          0           0             0
## 419         1940          1        240          0           0             0
## 420         1968          1        304          0          85           184
## 421         1997          4        784          0           0             0
## 423         1954          2        520          0           0             0
## 424         1998          3        696          0          66             0
## 425         1956          1        297          0          44             0
## 426         1947          1        240          0           0           126
## 428         1964          1        352          0           0             0
## 429         2007          2        628        105          54             0
## 430         1988          2        576          0           0           169
## 431         1971          1        264          0           0             0
## 433         1971          2        440        240          36             0
## 434         1997          2        470          0          36             0
## 436         1996          2        550        158          61             0
## 437         1990          2        440          0           0             0
## 438         1926          1        180          0           0           105
## 439         1990          1        352          0           0            34
## 440         2005          2        528          0          46             0
## 441         2008          3        672          0          72             0
## 443         1930          2        360          0           0             0
## 444         2007          3        648        144          16             0
## 445         1994          2        493        144         133             0
## 446         1956          2        480          0           0             0
## 447         1966          2        578          0           0             0
## 449         1937          1        198          0           0             0
## 450         1981          1        308          0         176             0
## 451         1932          1        270          0         113             0
## 452         1975          2        576        200          54             0
## 454         2008          2        676          0          30             0
## 455         1976          2        560          0           0             0
## 456         1973          2        528          0           0             0
## 457         1916          3        513          0           0            96
## 461         2009          2        552          0         150             0
## 462         1971          2        576        256           0             0
## 463         1965          1        360          0           0           236
## 464         1939          1        240          0           0             0
## 467         1970          2        526          0           0             0
## 468         1942          1        312        168           0             0
## 469         2006          3        866          0          44             0
## 470         1993          2        506        144          70             0
## 472         1977          2        534          0           0             0
## 473         2005          2        525          0          28             0
## 474         2006          3        908        250          63             0
## 475         2000          2        499         96          48             0
## 476         1996          2        624          0          24             0
## 477         1997          2        508        140          39             0
## 478         2006          3        694        414          84             0
## 479         2007          3        826        208          44             0
## 480         1995          2        672          0          72             0
## 481         2004          3        772        519         112             0
## 482         2003          3        874        206          49             0
## 483         1915          1        164          0           0             0
## 484         1998          2        402          0         125             0
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## 1113        1957          1        308          0           0             0
## 1114        1953          1        240          0          18             0
## 1115        1955          1        326          0           0             0
## 1116        2007          3        928          0           0             0
## 1118        1967          2        450          0           0             0
## 1119        1958          1        300        280          34             0
## 1120        1959          1        286        140           0           252
## 1121        1920          1        308          0          22           112
## 1122        2005          3        782        144          20             0
## 1126        1977          2        672          0           0             0
## 1127        2007          3        660        143          20             0
## 1128        2004          3        630        144          36             0
## 1129        2004          2        434        100          48             0
## 1130        1980          2        672         49           0             0
## 1131        1981          2        576        431          44             0
## 1133        1930          1        205          0          48             0
## 1134        1995          2        466          0         155             0
## 1135        1997          2        460        100          38             0
## 1136        1926          1        180          0         128             0
## 1137        1950          1        288          0           0            96
## 1140        1972          2        495          0           0           216
## 1141        1988          2        840          0           0             0
## 1143        2006          3       1052        125         144             0
## 1145        1941          1        280          0           0             0
## 1146        1928          1        225          0           0             0
## 1148        1941          1        234          0           0             0
## 1150        1930          2        324          0           0             0
## 1151        1950          1        306          0           0           214
## 1152        1959          2        528          0         140             0
## 1153        1956          2        470          0           0           280
## 1156        1976          2        528          0          21             0
## 1157        1965          2        502          0          92             0
## 1158        2008          2        626        172          62             0
## 1159        2008          3        830          0          24             0
## 1160        1974          2        540          0          69             0
## 1161        1978          2        440         26           0             0
## 1163        1968          2        450          0           0             0
## 1164        1969          2        400        120           0             0
## 1166        2009          2        644          0         114             0
## 1167        2008          3        776        160          33             0
## 1168        2000          2        472          0          38             0
## 1169        1935          2        540          0           0             0
## 1170        1995          3        807        361          76             0
## 1171        1977          1        358        203           0             0
## 1172        1958          2        433          0           0             0
## 1173        2006          2        625          0          54             0
## 1175        1932          2        360          0           0             0
## 1176        1992          2        541          0          33             0
## 1177        1984          1        264        362           0             0
## 1179        1921          1        186        192           0           102
## 1182        2008          2        482        162          53             0
## 1183        1996          3        813        171          78             0
## 1184        1970          2        720        229           0             0
## 1185        1963          3        995          0         263             0
## 1186        1965          1        392          0           0           236
## 1187        1920          2        420          0          74             0
## 1188        1994          3        757          0         114           192
## 1189        2002          2        493        144          68             0
## 1190        1999          2        442        140          60             0
## 1192        1999          2        492        206           0             0
## 1193        1925          1        250          0           0            84
## 1195        1969          1        299        379          36             0
## 1196        2005          2        400        100          24             0
## 1197        2006          3        660        100          17             0
## 1198        1916          1        225          0           0           330
## 1199        2001          2        573        356           0             0
## 1200        1974          2        459          0          82             0
## 1201        1972          1        280          0           0             0
## 1202        1998          2        546        198          36             0
## 1203        1960          1        216          0           0           208
## 1204        2000          2        451         74         234             0
## 1205        1975          2        495          0          88             0
## 1206        1990          3        701         84          70             0
## 1208        2003          2        544        192          23             0
## 1209        1980          2        506          0           0             0
## 1210        2006          2        500        322          50             0
## 1211        1992          2        462        635         104             0
## 1212        1988          2        492        325          12             0
## 1213        1941          1        234          0         113             0
## 1215        1962          1        300        150          72             0
## 1216        1966          1        384          0           0             0
## 1217        1978          2        539          0           0             0
## 1218        2009          2        552        135         112             0
## 1221        1964          1        288          0           0             0
## 1222        1968          1        322          0          63             0
## 1223        1949          1        315          0           0             0
## 1224        1951          2        528          0          30             0
## 1225        2004          2        388        100          75             0
## 1226        1958          1        264        224           0             0
## 1227        2007          3        668        100          18             0
## 1228        1992          2        576          0         240             0
## 1229        2008          3       1052          0          72             0
## 1230        1960          1        404          0           0             0
## 1232        1962          2        540          0          18             0
## 1233        1962          2        462          0           0             0
## 1236        1914          1        180        203          40             0
## 1237        2003          2        474          0          27             0
## 1238        2004          2        434        100          48             0
## 1239        2005          2        484          0           0             0
## 1240        2006          2        472        120          33             0
## 1241        2003          2        543          0          63             0
## 1242        2007          3        954          0          56             0
## 1243        1974          2        528          0         120             0
## 1246        1984          2        477        268         112             0
## 1247        2005          2        615          0          45             0
## 1249        1950          2        396          0           0           259
## 1250        1950          1        276          0          80             0
## 1251        1968          2        522          0           0             0
## 1253        1968          1        288         33           0             0
## 1255        2003          2        397        178         128             0
## 1256        1978          1        560          0           0             0
## 1257        1994          2        691        262          36             0
## 1259        2005          2        400        212           0             0
## 1260        1969          2        460        180           0             0
## 1262        1956          1        338          0           0             0
## 1264        1940          2        520          0           0           126
## 1265        1998          2        511        144          68             0
## 1266        1999          2        506          0          34             0
## 1267        1960          1        308          0           0           264
## 1268        2009          3        746        144          76             0
## 1270        1958          1        315          0           0             0
## 1274        1959          1        312          0           0             0
## 1275        1985          2        552        242           0            81
## 1276        1948          2        400          0           0             0
## 1280        1980          2        528         30           0           164
## 1281        2002          2        544          0          72             0
## 1282        1990          2        484          0          58             0
## 1283        1977          2        484          0           0             0
## 1285        1969          1        336        272           0            42
## 1286        1939          1        280         45           0             0
## 1289        2000          2        499        212          59             0
## 1290        2006          3        753        177          74             0
## 1292        1972          1        264        185           0             0
## 1293        1985          1        432          0         287             0
## 1294        1976          2        528          0          28             0
## 1295        1957          2        572          0           0             0
## 1296        1968          1        288        356           0             0
## 1297        1963          2        525        192          20           123
## 1298        2005          2        525          0          44             0
## 1299        2008          2       1418        214         292             0
## 1300        1959          1        305        218           0             0
## 1303        1994          3        844        309          78             0
## 1304        2005          3        834        208          59             0
## 1305        2004          2        380          0          40             0
## 1306        2006          2        840        404         102             0
## 1307        2005          2        474        132          35             0
## 1308        2000          2        480          0          64             0
## 1309        1948          2        528          0          36             0
## 1311        1959          2        567          0         207           162
## 1312        2005          2        508        264          98             0
## 1314        1999          3        779        668          30             0
## 1315        1956          1        280          0          36             0
## 1316        1969          2        576        280           0             0
## 1317        2008          3        860        172          42             0
## 1318        2006          2        466          0         241             0
## 1320        1954          1        248          0           0             0
## 1321        1957          2        442        114           0             0
## 1323        1992          2        564        240          39             0
## 1325        2007          3        895          0          49             0
## 1328        1982          1        264          0           0             0
## 1329        1920          2        520          0         547             0
## 1330        1998          2        462          0          28             0
## 1331        2006          3        825        144          45             0
## 1332        1976          2        576          0           0             0
## 1333        1958          1        288          0           0             0
## 1334        1951          1        297          0          65           190
## 1335        1970          2        440          0          36             0
## 1336        1977          2        630          0          16             0
## 1337        1973          2        506          0         211             0
## 1339        2002          2        492        146          91             0
## 1340        1972          1        288          0           0             0
## 1341        1974          4        480          0           0             0
## 1342        2004          2        576          0          78             0
## 1344        1929          2        342          0           0             0
## 1345        2006          2        440          0           0             0
## 1346        1997          1        308          0           0           168
## 1348        2006          3        712          0           0             0
## 1351        1969          4        968          0           0             0
## 1352        1962          2        490          0          84             0
## 1353        1999          2        624        210           0             0
## 1354        1996          3        666        283          86             0
## 1356        1968          2        487          0          98             0
## 1360        2004          3        770        194          45             0
## 1361        1998          2        621        183           0           301
## 1362        2005          2        430        168          36             0
## 1364        2007          2        432          0          36             0
## 1365        2005          2        480          0         166             0
## 1367        1999          2        588          0          88             0
## 1368        1977          1        336        104          26             0
## 1370        2003          2        502          0         262             0
## 1371        1967          1        338          0           0           198
## 1372        1955          1        377          0          28             0
## 1373        1998          2        583        253         170             0
## 1375        2005          3        936        154         210             0
## 1376        2007          3        722        100          36             0
## 1377        1925          1        160          0         141             0
## 1378        1977          2        660          0          68             0
## 1379        1973          1        264         72           0             0
## 1380        2007          2        400        100           0             0
## 1381        1938          1        200          0           0            96
## 1383        1989          2        576         36           0           221
## 1385        1939          1        280          0           0             0
## 1386        1922          1        240          0          96             0
## 1387        1978          2        564          0         112             0
## 1388        1916          1        216         88          15             0
## 1389        2006          3        758        201          39             0
## 1390        2003          2        440          0           0             0
## 1391        2000          2        541        219          36             0
## 1392        1967          3        792          0         152             0
## 1393        1967          1        288        175         144             0
## 1394        2003          2        672          0          25           212
## 1395        2006          3        648        161          20             0
## 1396        2005          3        642        144          39             0
## 1398        1933          1        180         24           0           150
## 1399        1950          1        240          0           0           168
## 1400        1925          1        216        147          16             0
## 1401        1929          1        208          0           0           112
## 1402        2004          2        398        100          75             0
## 1403        2006          2        662        168          55             0
## 1404        2007          3        754        168         160             0
## 1405        1998          3        936        216           0           160
## 1406        2004          2        482        128          53             0
## 1407        1988          2        396         58           0             0
## 1409        1966          2        528          0           0             0
## 1410        1986          2        542        364          63             0
## 1411        2001          2        622          0          45             0
## 1412        1950          1        271          0           0             0
## 1413        1956          2        420          0           0             0
## 1414        2005          2        620        165          44             0
## 1415        1922          2        370          0           0             0
## 1416        2007          3        660        143          20             0
## 1417        1971          2        560          0           0           114
## 1419        1962          1        336          0          88             0
## 1421        1968          2        776          0         169             0
## 1422        1977          2        440          0          55             0
## 1423        2003          2        420        140           0             0
## 1426        1960          2        528          0          39             0
## 1427        1994          2        525        171         132             0
## 1428        1962          1        288          0           0             0
## 1429        1940          1        240          0           0           154
## 1431        2005          2        372        100          40             0
## 1433        1928          1        216          0           0             0
## 1434        2000          2        451          0           0             0
## 1435        1977          2        484        295          41             0
## 1436        1962          2        462          0          36             0
## 1437        1974          2        528          0           0             0
## 1438        2008          3        774          0          66             0
## 1439        1957          2        923          0         158           158
## 1440        1979          2        550          0          88           216
## 1441        1993          2        672        431           0             0
## 1443        2008          3        812        168          52             0
## 1445        2004          2        626        192          60             0
## 1446        1990          1        240          0           0           252
## 1448        1995          2        556          0          65             0
## 1449        1950          1        384        168          24             0
## 1452        2008          3        840          0          36             0
## 1453        2005          2        525          0          28             0
## 1455        2004          2        400          0         113             0
## 1456        1999          2        460          0          40             0
## 1457        1978          2        500        349           0             0
## 1458        1941          1        252          0          60             0
## 1459        1950          1        240        366           0           112
## 1460        1965          1        276        736          68             0
##      X3SsnPorch ScreenPorch PoolArea MiscVal MoSold YrSold SalePrice
## 1             0           0        0       0      2   2008    208500
## 2             0           0        0       0      5   2007    181500
## 3             0           0        0       0      9   2008    223500
## 4             0           0        0       0      2   2006    140000
## 5             0           0        0       0     12   2008    250000
## 6           320           0        0     700     10   2009    143000
## 7             0           0        0       0      8   2007    307000
## 9             0           0        0       0      4   2008    129900
## 10            0           0        0       0      1   2008    118000
## 11            0           0        0       0      2   2008    129500
## 12            0           0        0       0      7   2006    345000
## 14            0           0        0       0      8   2007    279500
## 16            0           0        0       0      7   2007    132000
## 18            0           0        0     500     10   2006     90000
## 19            0           0        0       0      6   2008    159000
## 20            0           0        0       0      5   2009    139000
## 21            0           0        0       0     11   2006    325300
## 22            0           0        0       0      6   2007    139400
## 23            0           0        0       0      9   2008    230000
## 24            0           0        0       0      6   2007    129900
## 26            0           0        0       0      7   2009    256300
## 27            0           0        0       0      5   2010    134800
## 28            0           0        0       0      5   2010    306000
## 29            0           0        0       0     12   2006    207500
## 30            0           0        0       0      5   2008     68500
## 31            0           0        0       0      7   2008     40000
## 33            0           0        0       0      1   2008    179900
## 34            0           0        0       0      4   2010    165500
## 35            0           0        0       0      8   2007    277500
## 36            0           0        0       0      9   2006    309000
## 37            0           0        0       0      6   2009    145000
## 38            0           0        0       0     10   2009    153000
## 39            0           0        0       0      1   2010    109000
## 41            0           0        0       0     12   2006    160000
## 42            0           0        0       0      7   2007    170000
## 45            0           0        0       0      5   2006    141000
## 46            0           0        0       0      2   2010    319900
## 47            0         198        0       0      8   2009    239686
## 48            0           0        0       0      7   2007    249700
## 50            0           0        0       0      1   2007    127000
## 52            0           0        0     400      9   2006    114500
## 53            0           0        0       0      5   2010    110000
## 54            0           0        0       0     11   2006    385000
## 55            0           0        0       0      2   2007    130000
## 56          407           0        0       0      7   2008    180500
## 57            0           0        0       0      8   2009    172500
## 58            0           0        0       0      8   2006    196500
## 59            0           0        0       0     10   2006    438780
## 60            0           0        0       0      1   2008    124900
## 61            0           0        0       0      5   2006    158000
## 62            0           0        0       0      3   2007    101000
## 63            0           0        0       0     10   2007    202500
## 64            0           0        0       0      4   2010    140000
## 66            0           0        0       0     10   2007    317000
## 68            0           0        0       0      6   2007    226000
## 69            0           0        0       0      6   2010     80000
## 70            0           0        0       0      7   2006    225000
## 71            0           0        0       0      2   2007    244000
## 72            0           0        0       0      6   2007    129500
## 73            0         291        0       0     12   2009    185000
## 74            0           0        0       0      5   2010    144900
## 75            0           0        0       0      5   2010    107400
## 76            0           0        0       0     11   2009     91000
## 78            0           0        0       0      1   2008    127000
## 80            0           0        0       0      5   2009    110000
## 81            0         252        0       0      6   2009    193500
## 82            0           0        0       0      3   2006    153500
## 83            0           0        0       0     10   2008    245000
## 84            0           0        0       0      7   2007    126500
## 86            0           0        0       0      4   2006    260000
## 87            0           0        0       0      3   2009    174000
## 88            0           0        0       0      6   2009    164500
## 91            0           0        0       0      7   2006    109900
## 92            0           0        0       0     12   2006     98600
## 93            0           0        0       0      8   2009    163500
## 94            0          99        0       0     11   2007    133900
## 95            0           0        0       0      5   2007    204750
## 97            0           0        0       0      8   2006    214000
## 98            0           0        0       0      5   2007     94750
## 99            0           0        0     400      5   2010     83000
## 102           0           0        0       0      6   2010    178000
## 103           0           0        0       0      6   2009    118964
## 104           0           0        0       0      5   2010    198900
## 106           0           0        0       0      8   2008    250000
## 107           0           0        0     450      8   2007    100000
## 108           0           0        0       0      4   2008    115000
## 110           0           0        0       0      1   2010    190000
## 111           0           0        0       0     10   2006    136900
## 113           0         168        0       0     10   2007    383970
## 115           0           0        0       0      7   2007    259500
## 116           0           0        0       0      6   2007    176000
## 118           0           0        0       0      4   2007    155000
## 119           0           0        0       0      5   2010    320000
## 120           0           0        0       0      7   2006    163990
## 122           0           0        0       0      6   2007    100000
## 123           0         130        0       0      6   2008    136000
## 124           0           0        0       0      3   2008    153900
## 125           0           0        0       0      1   2009    181000
## 129           0           0        0       0      7   2006    155000
## 130         180           0        0       0      7   2006    150000
## 131           0           0        0       0      5   2006    226000
## 133           0           0        0       0      7   2007    150750
## 135           0           0        0       0      7   2006    180000
## 136           0           0        0       0      5   2008    174000
## 138           0           0        0       0      7   2006    171000
## 139           0           0        0       0     12   2008    230000
## 140           0           0        0       0      8   2009    231500
## 142           0           0        0       0      1   2006    260000
## 143           0           0        0       0      6   2010    166000
## 144           0           0        0       0      6   2009    204000
## 145           0           0        0       0     11   2006    125000
## 146           0           0        0       0      4   2006    130000
## 147           0           0        0       0     11   2009    105000
## 151           0           0        0       0      1   2007    122000
## 152           0           0        0       0      1   2008    372402
## 155           0           0        0       0      3   2006    125000
## 157           0           0        0       0      6   2006    109500
## 158           0           0        0       0      5   2010    269500
## 159           0           0        0       0      5   2010    254900
## 160         168           0        0       0      3   2006    320000
## 162           0           0        0       0      3   2008    412500
## 163           0           0        0       0      5   2010    220000
## 165           0           0        0       0     10   2007    152000
## 168           0           0        0       0     11   2007    325624
## 169           0           0        0       0      5   2007    183500
## 172           0           0        0       0      5   2010    215000
## 173           0           0        0       0      6   2006    239000
## 174           0           0        0       0      6   2008    163000
## 175           0           0        0       0     11   2008    184000
## 176           0           0        0       0      6   2007    243000
## 177           0         192        0       0      9   2007    211000
## 179           0           0        0       0      7   2009    501837
## 180           0           0        0       0      7   2007    100000
## 182           0           0        0       0      7   2006    200100
## 183         180           0        0       0      6   2007    120000
## 184           0           0        0       0      6   2008    200000
## 185           0           0        0       0      6   2006    127000
## 186           0         410        0       0      6   2006    475000
## 188         140           0        0       0      8   2009    135000
## 189           0           0        0       0      6   2009    153337
## 190           0         224        0       0      8   2008    286000
## 191           0           0        0       0     12   2007    315000
## 193           0           0        0       0      9   2009    192000
## 194           0           0        0       0      5   2006    130000
## 195           0           0        0       0      5   2008    127000
## 196           0           0        0       0      7   2009    148500
## 197           0         266        0       0      9   2007    311872
## 198           0           0      512       0      3   2006    235000
## 200           0         170        0       0      1   2009    274900
## 201           0           0        0       0      3   2010    140000
## 202           0           0        0       0      2   2008    171500
## 203           0           0        0       0      5   2006    112000
## 205           0           0        0       0      4   2009    110000
## 206         508           0        0       0      5   2009    180500
## 207           0           0        0       0      3   2007    143900
## 210           0           0        0       0      7   2008    145000
## 212           0           0        0       0      3   2010    186000
## 213           0           0        0       0      7   2009    252678
## 214           0           0        0       0      7   2006    156000
## 216           0           0        0       0      5   2006    134450
## 217           0           0        0       0      4   2008    210000
## 218           0           0        0       0      9   2006    107000
## 220           0           0        0       0      3   2006    167240
## 221           0           0        0       0      4   2006    204900
## 223           0           0        0       0      2   2006    179900
## 224           0           0        0       0      3   2009     97000
## 225           0           0        0       0      6   2009    386250
## 226           0           0        0       0      5   2009    112000
## 227           0           0        0       0      6   2007    290000
## 228           0           0        0       0      9   2008    106000
## 229           0           0        0       0      5   2010    125000
## 230           0           0        0       0      5   2009    192500
## 231           0           0        0       0      4   2010    148000
## 232           0           0        0       0      7   2009    403000
## 233           0           0        0       0      6   2006     94500
## 234           0           0        0       0      2   2010    128200
## 236           0           0        0       0      8   2008     89500
## 237           0           0        0       0      5   2010    185500
## 239           0           0        0       0     12   2007    318000
## 240           0           0        0       0      4   2010    113000
## 241           0           0        0       0      4   2010    262500
## 243           0           0        0       0      4   2006     79000
## 244           0           0        0       0      4   2009    120000
## 246           0           0        0       0      6   2006    241500
## 247           0           0        0       0      4   2006    137000
## 248           0           0        0       0      6   2006    140000
## 249           0           0        0       0      9   2007    180000
## 252           0         153        0       0     12   2007    235000
## 253           0           0        0       0     12   2008    173000
## 254           0           0        0       0     10   2007    158000
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corrnum <- cor(trainnum_df) #correlation matrix
#corrplot(num_corr)

corrnum_df<- as.data.frame(corrnum) %>% #converting matrix into a df
  filter(SalePrice > 0)  #removing negative correlation

#variable names for lm(SalePrice~vars)
corrvar <- row.names(corrnum_df[1:24,]) 
corrvar
##  [1] "LotArea"      "OverallQual"  "YearBuilt"    "YearRemodAdd" "BsmtFinSF1"  
##  [6] "BsmtUnfSF"    "TotalBsmtSF"  "X1stFlrSF"    "X2ndFlrSF"    "GrLivArea"   
## [11] "BsmtFullBath" "FullBath"     "HalfBath"     "BedroomAbvGr" "TotRmsAbvGrd"
## [16] "Fireplaces"   "GarageCars"   "GarageArea"   "WoodDeckSF"   "OpenPorchSF" 
## [21] "X3SsnPorch"   "ScreenPorch"  "PoolArea"     "MoSold"
pricemod<- lm(SalePrice ~ LotArea+OverallQual+ YearBuilt+YearRemodAdd+BsmtFinSF1 +BsmtUnfSF+ TotalBsmtSF+ GrLivArea +BsmtFullBath+FullBath+HalfBath  +BedroomAbvGr+TotRmsAbvGrd + Fireplaces+GarageCars+GarageArea+WoodDeckSF+OpenPorchSF +ScreenPorch+PoolArea+X3SsnPorch+X1stFlrSF+X2ndFlrSF, data=train1)

summary(pricemod)
## 
## Call:
## lm(formula = SalePrice ~ LotArea + OverallQual + YearBuilt + 
##     YearRemodAdd + BsmtFinSF1 + BsmtUnfSF + TotalBsmtSF + GrLivArea + 
##     BsmtFullBath + FullBath + HalfBath + BedroomAbvGr + TotRmsAbvGrd + 
##     Fireplaces + GarageCars + GarageArea + WoodDeckSF + OpenPorchSF + 
##     ScreenPorch + PoolArea + X3SsnPorch + X1stFlrSF + X2ndFlrSF, 
##     data = train1)
## 
## Residuals:
##     Min      1Q  Median      3Q     Max 
## -498626  -16636   -1336   14483  297841 
## 
## Coefficients:
##                Estimate Std. Error t value Pr(>|t|)    
## (Intercept)  -1.076e+06  1.327e+05  -8.111 1.06e-15 ***
## LotArea       4.790e-01  1.037e-01   4.620 4.18e-06 ***
## OverallQual   1.916e+04  1.178e+03  16.265  < 2e-16 ***
## YearBuilt     2.277e+02  5.275e+01   4.316 1.70e-05 ***
## YearRemodAdd  2.833e+02  6.206e+01   4.566 5.40e-06 ***
## BsmtFinSF1    1.288e+01  6.238e+00   2.065 0.039144 *  
## BsmtUnfSF    -4.697e-01  6.329e+00  -0.074 0.940847    
## TotalBsmtSF   1.303e+01  7.235e+00   1.801 0.071940 .  
## GrLivArea     1.704e+01  2.022e+01   0.843 0.399564    
## BsmtFullBath  4.767e+03  2.545e+03   1.873 0.061287 .  
## FullBath     -1.245e+03  2.850e+03  -0.437 0.662217    
## HalfBath     -1.604e+03  2.757e+03  -0.582 0.560838    
## BedroomAbvGr -7.418e+03  1.715e+03  -4.326 1.62e-05 ***
## TotRmsAbvGrd  4.148e+03  1.229e+03   3.376 0.000756 ***
## Fireplaces    5.145e+03  1.809e+03   2.845 0.004508 ** 
## GarageCars    9.245e+03  2.949e+03   3.134 0.001757 ** 
## GarageArea    1.053e+01  9.990e+00   1.054 0.291969    
## WoodDeckSF    3.072e+01  8.174e+00   3.758 0.000178 ***
## OpenPorchSF   1.433e+00  1.558e+01   0.092 0.926751    
## ScreenPorch   6.077e+01  1.762e+01   3.450 0.000577 ***
## PoolArea     -4.338e+01  2.431e+01  -1.784 0.074561 .  
## X3SsnPorch    3.439e+01  3.243e+01   1.061 0.289081    
## X1stFlrSF     3.071e+01  2.063e+01   1.489 0.136726    
## X2ndFlrSF     2.743e+01  2.043e+01   1.343 0.179619    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 36070 on 1436 degrees of freedom
## Multiple R-squared:  0.7971, Adjusted R-squared:  0.7938 
## F-statistic: 245.2 on 23 and 1436 DF,  p-value: < 2.2e-16

F-statistic: 245.2 on 23 and 1436 DF

p-value: < 2.2e-16 Because of small pvalue, which is less than 0.05 refers that the model has validity.

Multiple R-squared: 0.7971

Adjusted R-squared: 0.7938

The model accounts for roughly 79.7% of the data’s variation.

Residual standard error: The SalePrice can deviate from the true regression line by approximately 36070, on average.

#pick out the same columns from our lm from the test data set
test_prediction <- subset(test1, select=c(LotArea ,OverallQual, YearBuilt,YearRemodAdd,BsmtFinSF1   ,BsmtUnfSF, TotalBsmtSF, GrLivArea ,BsmtFullBath,FullBath,HalfBath  ,BedroomAbvGr,TotRmsAbvGrd , Fireplaces,GarageCars,GarageArea,WoodDeckSF,OpenPorchSF ,ScreenPorch,PoolArea,X3SsnPorch,X1stFlrSF,X2ndFlrSF))



test_prediction <- na.omit(test_prediction) #remove NAs

predtest <- predict(pricemod, test_prediction)
summary(predtest)
##    Min. 1st Qu.  Median    Mean 3rd Qu.    Max. 
##   -1692  127103  167064  177918  222295  637275
predictprice = cbind(test1$Id, predtest)
## Warning in cbind(test1$Id, predtest): number of rows of result is not a multiple
## of vector length (arg 2)
colnames(predictprice) = c("Id", "SalePrice")
predictdf = as.data.frame(predictprice)
head(predictdf,5) 
##     Id SalePrice
## 1 1461  120798.1
## 2 1462  163238.5
## 3 1463  178683.8
## 4 1464  201128.1
## 5 1465  214389.0
write.csv(predictdf,"C:/Users/malia/OneDrive/Desktop/final3house.csv", row.names = FALSE)