In class

Loading packages

library(tidyr)
library(tidyverse)
## ── Attaching packages ─────────────────────────────────────── tidyverse 1.3.2 ──
## ✔ ggplot2 3.4.1      ✔ dplyr   1.0.10
## ✔ tibble  3.1.8      ✔ stringr 1.5.0 
## ✔ readr   2.1.3      ✔ forcats 1.0.0 
## ✔ purrr   1.0.1      
## ── Conflicts ────────────────────────────────────────── tidyverse_conflicts() ──
## ✖ dplyr::filter() masks stats::filter()
## ✖ dplyr::lag()    masks stats::lag()
library(ggplot2)
library(dplyr)
library(tibble)

Interpreting regressions

Collinearity

energy=read.csv("recs2015_public_v4.csv")
lm(KWH~UATYP10, energy) %>% summary()
## 
## Call:
## lm(formula = KWH ~ UATYP10, data = energy)
## 
## Residuals:
##    Min     1Q Median     3Q    Max 
## -13718  -4848  -1385   3391  53132 
## 
## Coefficients:
##             Estimate Std. Error t value Pr(>|t|)    
## (Intercept)  10772.6      279.8  38.494   <2e-16 ***
## UATYP10R      3584.6      344.5  10.405   <2e-16 ***
## UATYP10U      -687.5      300.4  -2.289   0.0221 *  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 6843 on 5683 degrees of freedom
## Multiple R-squared:  0.058,  Adjusted R-squared:  0.05767 
## F-statistic:   175 on 2 and 5683 DF,  p-value: < 2.2e-16
loc.lm=lm(KWH~UATYP10, energy)

Collinearity for text categries

lm(KWH~REGIONC, energy) %>% summary()
## 
## Call:
## lm(formula = KWH ~ REGIONC, data = energy)
## 
## Residuals:
##    Min     1Q Median     3Q    Max 
## -11046  -5158  -1460   3565  52112 
## 
## Coefficients:
##             Estimate Std. Error t value Pr(>|t|)    
## (Intercept) 10148.25     273.27  37.136  < 2e-16 ***
## REGIONC       319.00      93.02   3.429 0.000609 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 7043 on 5684 degrees of freedom
## Multiple R-squared:  0.002065,   Adjusted R-squared:  0.001889 
## F-statistic: 11.76 on 1 and 5684 DF,  p-value: 0.0006095
regn.lm=lm(KWH~as.factor(REGIONC), energy)

Average electricity consumption by a house at each region

region1=round(coef(regn.lm)["(Intercept)"]/10^3,3)
region2=round((coef(regn.lm)["(Intercept)"]+coef(regn.lm)["as.factor(REGIONC)2"])/10^3,3)%>% as.numeric
region3=round((coef(regn.lm)["(Intercept)"]+coef(regn.lm)["as.factor(REGIONC)3"])/10^3,3)%>% as.numeric
region4=round((coef(regn.lm)["(Intercept)"]+coef(regn.lm)["as.factor(REGIONC)4"])/10^3,3)%>% as.numeric

Assignment

Data import and exploration

energy=read.csv("recs2015_public_v4.csv")
head(energy, 10)
##    DOEID REGIONC DIVISION METROMICRO UATYP10 TYPEHUQ ZTYPEHUQ CELLAR ZCELLAR
## 1  10001       4       10      METRO       U       2        0      0       0
## 2  10002       3        7       NONE       R       2        0      0       0
## 3  10003       3        6      METRO       U       2        0      1       0
## 4  10004       2        4      MICRO       C       2        0      1       0
## 5  10005       1        2      METRO       U       2        0      1       0
## 6  10006       1        1       NONE       C       5        0     -2      -2
## 7  10007       3        5      METRO       U       4        0     -2      -2
## 8  10008       2        3      METRO       R       2        0      1       0
## 9  10009       1        2      METRO       U       2        0      0       0
## 10 10010       3        7      METRO       U       2        0      0       0
##    BASEFIN ZBASEFIN ATTIC ZATTIC ATTICFIN ZATTICFIN STORIES ZSTORIES PRKGPLC1
## 1       -2       -2     0      0       -2        -2      20        0        1
## 2       -2       -2     0      0       -2        -2      10        0        0
## 3        1        0     0      0       -2        -2      10        0        0
## 4        1        0     0      0       -2        -2      10        0        1
## 5        0        0     1      0        0         0      20        0        1
## 6       -2       -2    -2     -2       -2        -2      -2       -2       -2
## 7       -2       -2    -2     -2       -2        -2      -2       -2       -2
## 8        1        0     1      0        1         0      10        0        1
## 9       -2       -2     0      0       -2        -2      20        0        1
## 10      -2       -2     1      0        0         0      10        0        1
##    ZPRKGPLC1 SIZEOFGARAGE ZSIZEOFGARAGE KOWNRENT ZKOWNRENT YEARMADERANGE
## 1          0            2             0        1         0             7
## 2          0           -2            -2        1         0             5
## 3          0           -2            -2        1         0             4
## 4          0            2             0        1         0             2
## 5          0            1             0        1         0             4
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## 8          0            1             0        1         0             4
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## 10         0            2             0        2         0             2
##    ZYEARMADERANGE OCCUPYYRANGE ZOCCUPYYRANGE STUDIO ZSTUDIO BEDROOMS ZBEDROOMS
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## 2               0            6             0     -2      -2        2         0
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##    SIZRFRI1 ZSIZRFRI1 TYPERFR1 ZTYPERFR1 AGERFRI1 ZAGERFRI1 ICE ZICE SIZRFRI2
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## 3         4         0       21         0       41         0   1    0        4
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## 10        4         0       21         0        1         0   1    0       -2
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## 2         -2       -2        -2       -2        -2       -2        -2        1
## 3          0       21         0        3         0        1         0        0
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## 10        -2       -2        -2       -2        -2       -2        -2        0
##    ZNUMFREEZ UPRTFRZR ZUPRTFRZR SIZFREEZ ZSIZFREEZ AGEFRZR ZAGEFRZR STOVEN
## 1          0        2         0        2         0      41        0      1
## 2          0        2         0        2         0      41        0      1
## 3          0       -2        -2       -2        -2      -2       -2      2
## 4          0        1         0        3         0      42        0      1
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## 10         0       -2        -2       -2        -2      -2       -2      1
##    ZSTOVEN STOVENFUEL ZSTOVENFUEL DUALCOOKTFUEL ZDUALCOOKTFUEL DUALOVENFUEL
## 1        0          1           0            -2             -2           -2
## 2        0          5           0            -2             -2           -2
## 3        0          5           0            -2             -2           -2
## 4        0          5           0            -2             -2           -2
## 5        0          1           0            -2             -2           -2
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## 10       0          5           0            -2             -2           -2
##    ZDUALOVENFUEL COOKTUSE ZCOOKTUSE OVENUSE ZOVENUSE STOVE ZSTOVE STOVEFUEL
## 1             -2        5         0       0        0     0      0        -2
## 2             -2        6         0       5        0     0      0        -2
## 3             -2       14         0      14        0     0      1        -2
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## 9             -2        7         0       3        0     0      0        -2
## 10            -2        7         0       5        0     0      1        -2
##    ZSTOVEFUEL SEPCOOKTUSE ZSEPCOOKTUSE OVEN ZOVEN OVENFUEL ZOVENFUEL SEPOVENUSE
## 1          -2          -2           -2    0     0       -2        -2         -2
## 2          -2          -2           -2    0     0       -2        -2         -2
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## 10         -2          -2           -2    0     0       -2        -2         -2
##    ZSEPOVENUSE MICRO ZMICRO AMTMICRO ZAMTMICRO OUTGRILL ZOUTGRILL OUTGRILLFUEL
## 1           -2     1      0       10         0        1         0            2
## 2           -2     1      0       20         0        1         0           23
## 3           -2     2      0       14         0        1         0           23
## 4           -2     1      0        0         0        1         0            2
## 5            0     1      0        6         0        1         0            1
## 6           -2     1      0        3         0        0         0           -2
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## 9           -2     2      0       12         0        1         0            2
## 10          -2     1      0       15         0        0         0           -2
##    ZOUTGRILLFUEL NUMMEAL ZNUMMEAL TOAST ZTOAST TOASTOVN ZTOASTOVN COFFEE
## 1              0       3        0     1      0        0         0      1
## 2              0       3        0     1      0        0         0      0
## 3              0       2        0     1      0        1         0      1
## 4              0       6        0     1      0        0         0      1
## 5              0       0        0     1      0        1         0      1
## 6             -2       1        0     0      0        0         0      0
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## 8              0       1        0     1      0        0         0      1
## 9              0       3        0     1      0        0         0      1
## 10            -2       2        0     1      0        0         0      1
##    ZCOFFEE CROCKPOT ZCROCKPOT FOODPROC ZFOODPROC RICECOOK ZRICECOOK BLENDER
## 1        0        0         0        0         0        1         0       0
## 2        0        1         0        0         0        0         0       0
## 3        0        1         0        0         0        0         0       0
## 4        0        0         0        0         0        0         0       0
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## 10       0        1         0        0         0        0         0       1
##    ZBLENDER APPOTHER ZAPPOTHER DISHWASH ZDISHWASH DWASHUSE ZDWASHUSE DWCYCLE
## 1         0        0         0        1         0        6         0       1
## 2         0        1         0        0         0       -2        -2      -2
## 3         0        1         0        1         0        7         0       2
## 4         0        0         0        0         0       -2        -2      -2
## 5         0        0         0        0         0       -2        -2      -2
## 6         0        0         0        0         0       -2        -2      -2
## 7         0        0         0        0         0       -2        -2      -2
## 8         0        0         0        1         0        4         0       1
## 9         0        0         0        1         0        5         0       1
## 10        0        0         0        1         0       19         0       3
##    ZDWCYCLE AGEDW ZAGEDW CWASHER ZCWASHER TOPFRONT ZTOPFRONT WASHLOAD ZWASHLOAD
## 1         0     3      0       1        0        2         0        3         0
## 2        -2    -2     -2       0        0       -2        -2       -2        -2
## 3         1     3      0       1        0        2         0        3         0
## 4        -2    -2     -2       1        0        1         0        3         0
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## 10        1     1      0       1        0        1         0       20         0
##    WASHTEMP ZWASHTEMP RNSETEMP ZRNSETEMP AGECWASH ZAGECWASH DRYER ZDRYER
## 1         3         0        3         0        3         0     1      0
## 2        -2        -2       -2        -2       -2        -2     0      0
## 3         3         0        3         0        2         0     1      0
## 4         2         0        3         0       41         0     1      0
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## 9         2         0        3         0        2         0     1      0
## 10        3         0        3         0        3         0     1      0
##    DRYRFUEL ZDRYRFUEL DRYRUSE ZDRYRUSE AGECDRYER ZAGECDRYER TVCOLOR ZTVCOLOR
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## 2        -2        -2      -2       -2        -2         -2       2        0
## 3         5         0       3        0         2          0       4        0
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## 2        2        0       1        0       5        0       5        0       1
## 3        2        0       2        1       4        0       4        0       2
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## 10       3        0       3        0       3        0       3        0       2
##    ZTVSIZE2 TVTYPE2 ZTVTYPE2 TVONWD2 ZTVONWD2 TVONWE2 ZTVONWE2 CABLESAT
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## 2         0       1        0       1        0       2        0        1
## 3         0       1        1       3        0       3        0        4
## 4         0       3        0       1        0       1        0        2
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## 9         0       3        0       3        0       3        0        4
## 10        0       3        0       2        0       3        0        3
##    ZCABLESAT COMBODVR ZCOMBODVR SEPDVR ZSEPDVR PLAYSTA ZPLAYSTA DVD ZDVD VCR
## 1          0        0         0      0       0       0        0   1    0   0
## 2          0        0         0      0       0       0        0   1    0   0
## 3          0        2         0      0       1       2        0   2    1   2
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## 10         0        1         0      0       0       3        0   1    0   0
##    ZVCR INTSTREAM ZINTSTREAM TVAUDIOSYS ZTVAUDIOSYS DESKTOP ZDESKTOP NUMLAPTOP
## 1     0         0          0          0           0       0        0         2
## 2     0         0          0          0           0       0        0         0
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## 9     0         0          0          0           0       1        0         3
## 10    0         2          0          0           0       1        0         1
##    ZNUMLAPTOP NUMTABLET ZNUMTABLET ELPERIPH ZELPERIPH NUMSMPHONE ZNUMSMPHONE
## 1           0         2          0        1         0          2           0
## 2           0         0          0        0         0          0           0
## 3           0         2          0        2         1          2           0
## 4           0         1          0        1         0          1           0
## 5           0         2          0        1         0          2           0
## 6           0         0          0        0         0          1           0
## 7           0         0          0        0         0          1           0
## 8           0         0          0        2         0          1           0
## 9           0         4          0        2         0          4           0
## 10          0         4          0        1         0          2           0
##    CELLPHONE ZCELLPHONE INTERNET ZINTERNET INWIRELESS ZINWIRELESS HEATHOME
## 1          0          0        1         0          1           0        1
## 2          2          0        1         0          0           0        1
## 3          0          0        1         0          1           1        1
## 4          0          0        1         0          0           0        1
## 5          0          0        1         0          1           0        1
## 6          0          0        1         0          1           0        1
## 7          0          0        0         0         -2          -2        1
## 8          1          0        1         0          1           0        1
## 9          0          0        1         0          1           1        1
## 10         0          0        1         0          1           0        1
##    ZHEATHOME DNTHEAT ZDNTHEAT EQUIPM ZEQUIPM FUELHEAT ZFUELHEAT EQUIPAGE
## 1          0      -2       -2      3       0        1         0       41
## 2          0      -2       -2      9       0        5         0        1
## 3          0      -2       -2      3       0        1         0       42
## 4          0      -2       -2      3       0        2         0        3
## 5          0      -2       -2      3       0        1         0        3
## 6          0      -2       -2      3       0        2         0        3
## 7          0      -2       -2      3       0        1         0       41
## 8          0      -2       -2      3       0        1         0        5
## 9          0      -2       -2      3       0        3         0        5
## 10         0      -2       -2      3       0        5         0       42
##    ZEQUIPAGE THERMAIN ZTHERMAIN PROTHERM ZPROTHERM EQUIPMUSE ZEQUIPMUSE
## 1          0        1         0        1         0         3          0
## 2          0        1         0        1         0         1          0
## 3          0        1         0        1         0         1          0
## 4          0        1         0        0         0         2          0
## 5          0        1         0        0         0         2          0
## 6          0        1         0        0         0         4          0
## 7          0        1         0        0         0         2          0
## 8          0        1         0        1         0         2          0
## 9          0        1         0        1         0         1          0
## 10         0        1         0        1         0         3          0
##    TEMPHOME ZTEMPHOME TEMPGONE ZTEMPGONE TEMPNITE ZTEMPNITE EQUIPAUX ZEQUIPAUX
## 1        69         0       69         0       60         0        0         0
## 2        75         0       70         0       72         0        1         0
## 3        70         0       70         0       68         0        1         0
## 4        68         0       65         0       65         0        1         0
## 5        68         0       62         0       66         0        0         0
## 6        70         0       66         0       70         0        0         0
## 7        73         0       70         0       72         0        0         0
## 8        66         0       62         0       64         0        0         0
## 9        70         0       70         0       70         0        0         0
## 10       70         0       70         0       65         0        1         0
##    EQUIPAUXTYPE ZEQUIPAUXTYPE FUELAUX ZFUELAUX BASEHEAT ZBASEHEAT ATTCHEAT
## 1            -2            -2      -2       -2       -2        -2       -2
## 2             1             0       5        0       -2        -2       -2
## 3             1             0       5        0        1         0       -2
## 4             9             0       5        0        1         0       -2
## 5            -2            -2      -2       -2        0         0        0
## 6            -2            -2      -2       -2       -2        -2       -2
## 7            -2            -2      -2       -2       -2        -2       -2
## 8            -2            -2      -2       -2        0         0        0
## 9            -2            -2      -2       -2       -2        -2       -2
## 10            1             0       5        0       -2        -2        0
##    ZATTCHEAT GARGHEAT ZGARGHEAT MOISTURE ZMOISTURE USEMOISTURE ZUSEMOISTURE
## 1         -2        0         0        0         0          -2           -2
## 2         -2       -2        -2        1         0           1            0
## 3         -2       -2        -2        0         0          -2           -2
## 4         -2        0         0        0         0          -2           -2
## 5          0        0         0        0         0          -2           -2
## 6         -2       -2        -2        0         0          -2           -2
## 7         -2       -2        -2        0         0          -2           -2
## 8          0        0         0        0         0          -2           -2
## 9         -2        0         0        0         0          -2           -2
## 10         0        0         0        0         0          -2           -2
##    AIRCOND ZAIRCOND COOLTYPE ZCOOLTYPE CENACHP ZCENACHP AGECENAC ZAGECENAC
## 1        1        0        1         0       0        0       41         0
## 2        1        0        2         0      -2       -2       -2        -2
## 3        1        0        3         0       0        0       42         0
## 4        1        0        1         0       0        0        3         0
## 5        1        0        1         0       0        0        3         0
## 6        1        0        2         0      -2       -2       -2        -2
## 7        1        0        1         0       1        0       41         0
## 8        1        0        2         0      -2       -2       -2        -2
## 9        1        0        1         0       0        0        3         0
## 10       1        0        1         0       0        0       42         0
##    THERMAINAC ZTHERMAINAC PROTHERMAC ZPROTHERMAC USECENAC ZUSECENAC NUMBERAC
## 1           1           0          1           0        3         0       -2
## 2          -2          -2         -2          -2       -2        -2        4
## 3           1           0          1           0        1         0        2
## 4           1           0          0           0        2         0       -2
## 5           1           0          0           0        2         0       -2
## 6          -2          -2         -2          -2       -2        -2        1
## 7           1           0          0           0        2         0       -2
## 8          -2          -2         -2          -2       -2        -2        2
## 9           1           0          1           0        1         0       -2
## 10          1           0          1           0        2         0       -2
##    ZNUMBERAC WWACAGE ZWWACAGE USEWWAC ZUSEWWAC TEMPHOMEAC ZTEMPHOMEAC
## 1         -2      -2       -2      -2       -2         78           0
## 2          0       3        0       1        0         76           0
## 3          0       1        0       4        0         75           0
## 4         -2      -2       -2      -2       -2         76           0
## 5         -2      -2       -2      -2       -2         72           0
## 6          0       1        0       1        0         60           0
## 7         -2      -2       -2      -2       -2         72           0
## 8          0       3        0       2        0         74           0
## 9         -2      -2       -2      -2       -2         72           0
## 10        -2      -2       -2      -2       -2         67           0
##    TEMPGONEAC ZTEMPGONEAC TEMPNITEAC ZTEMPNITEAC BASECOOL ZBASECOOL ATTCCOOL
## 1          80           0         80           0       -2        -2       -2
## 2          80           0         74           0       -2        -2       -2
## 3          85           1         75           0        1         0       -2
## 4          85           0         72           0        1         0       -2
## 5          78           0         70           0        0         0        0
## 6          66           0         55           0       -2        -2       -2
## 7          75           0         73           0       -2        -2       -2
## 8          78           0         74           0        0         0        0
## 9          72           0         72           0       -2        -2       -2
## 10         70           0         65           0       -2        -2        0
##    ZATTCCOOL GARGCOOL ZGARGCOOL SWAMPCOL ZSWAMPCOL NUMCFAN ZNUMCFAN NUMFLOORFAN
## 1         -2        0         0        0         0       5        0           0
## 2         -2       -2        -2        0         0       3        0           1
## 3         -2       -2        -2        0         1       7        0           0
## 4         -2        0         0       -2        -2       9        0           0
## 5          0        0         0       -2        -2       2        0           2
## 6         -2       -2        -2       -2        -2       0        0           2
## 7         -2       -2        -2        0         0       2        0           0
## 8          0        0         0       -2        -2       3        0           3
## 9         -2        0         0       -2        -2       2        0           0
## 10         0        0         0        0         0       4        0           0
##    ZNUMFLOORFAN NUMWHOLEFAN ZNUMWHOLEFAN NUMATTICFAN ZNUMATTICFAN NOTMOIST
## 1             0           0            0           0            0        0
## 2             0           0            0           0            0        0
## 3             0           0            0           0            0        0
## 4             0           0            0           0            0        0
## 5             0           0            0           0            0        1
## 6             0          -2           -2          -2           -2        0
## 7             0          -2           -2          -2           -2        0
## 8             0           0            0           0            0        1
## 9             0           0            0           0            0        0
## 10            0           0            0           0            0        0
##    ZNOTMOIST USENOTMOIST ZUSENOTMOIST FUELH2O ZFUELH2O H2OHEATAPT ZH2OHEATAPT
## 1          0          -2           -2       1        0         -2          -2
## 2          0          -2           -2       5        0         -2          -2
## 3          0          -2           -2       1        0         -2          -2
## 4          0          -2           -2       2        0         -2          -2
## 5          0           1            0       1        0         -2          -2
## 6          0          -2           -2       2        0          2           0
## 7          0          -2           -2       1        0          2           0
## 8          0          10            0       1        0         -2          -2
## 9          0          -2           -2       5        0         -2          -2
## 10         0          -2           -2       5        0         -2          -2
##    WHEATAGE ZWHEATAGE WHEATSIZ ZWHEATSIZ MORETHAN1H2O ZMORETHAN1H2O FUELH2O2
## 1        41         0        1         0            0             0       -2
## 2         1         0        1         0            0             0       -2
## 3        41         0        3         0            0             0       -2
## 4         3         0        3         0            0             0       -2
## 5         3         0        2         0            0             0       -2
## 6         3         0       -2        -2           -2            -2       -2
## 7        41         0       -2        -2           -2            -2       -2
## 8        42         0        2         0            0             0       -2
## 9        41         0        3         0            0             0       -2
## 10        2         0        3         0            0             0       -2
##    ZFUELH2O2 LGTINNUM ZLGTINNUM LGTIN4 ZLGTIN4 LGTINCAN ZLGTINCAN LGTINCFL
## 1         -2        2         0      2       0        4         0        4
## 2         -2        1         0      5       0        1         0        4
## 3         -2        2         0      8       0        0         0        1
## 4         -2        4         0      2       0        3         0        3
## 5         -2        2         0     10       0        4         0        4
## 6         -2        1         0      1       0        4         0        4
## 7         -2        1         0      3       0        0         0        2
## 8         -2        1         0      1       0        4         0        2
## 9         -2        2         0      3       0        1         0        0
## 10        -2        2         0     20       0        4         0        4
##    ZLGTINCFL LGTINLED ZLGTINLED LGTINCNTL ZLGTINCNTL LGTOUTNUM ZLGTOUTNUM
## 1          0        0         0         0          0         1          0
## 2          0        4         0         0          0         1          0
## 3          0        0         1         1          0         1          0
## 4          0        0         0         1          0         2          0
## 5          0        3         0         1          0         2          0
## 6          0        0         0         0          0        -2         -2
## 7          0        4         0         0          0        -2         -2
## 8          0        0         0         0          0         2          0
## 9          0        0         0         0          0         2          0
## 10         0        0         0         0          0         1          0
##    LGTOUTCNTL ZLGTOUTCNTL AUDIT AUDITCHG EELIGHTS FREEAUDIT REBATEAPP RECYCAPP
## 1           1           0     0       -2        0         0         0        0
## 2           1           0     0       -2        0         0         0        0
## 3           0           0     0       -2        0         0         0        0
## 4           1           0     0       -2        0         0         0        0
## 5           1           0     0       -2        0         0         0        0
## 6          -2          -2     1        1       -2        -2        -2       -2
## 7          -2          -2     0       -2       -2        -2        -2       -2
## 8           1           0     0       -2        1         0         0        0
## 9           1           0     0       -2        0         0         0        0
## 10          0           0     0       -2       -2        -2        -2       -2
##    TAXCREDITAPP BENOTHER ESCWASH ESDISHW ESDRYER ESFREEZE ESFRIG ESLIGHT
## 1             0        1       1       0       1        0      1       0
## 2             0        0      -2      -2      -2        0      1       0
## 3             0        0       1       0       1       -2      0       1
## 4             0        0       1      -2       1        0      1       1
## 5             0        0       0      -2       0       -2      0       1
## 6            -2       -2      -2      -2      -2       -2      1       0
## 7            -2       -2       0      -2       0       -2      1       0
## 8             0        0       1       1       1        0      0       1
## 9             0        0       1       0       1        1      1       0
## 10           -2       -2       1       1       1       -2      1       1
##    ESWATER ESWIN SMARTTHERM ELPAY ZELPAY NGPAY ZNGPAY LPGPAY ZLPGPAY FOPAY
## 1        0     0          0     1      0     1      0     -2      -2    -2
## 2        0     0          0     1      0    -2     -2     -2      -2    -2
## 3        0     0          0     1      0     1      0     -2      -2    -2
## 4        1     1          0     1      0    -2     -2      1       0    -2
## 5        0     0          0     1      0     1      0     -2      -2    -2
## 6        0     1          0     2      0    -2     -2      2       0    -2
## 7        0     0          0     1      0     1      0     -2      -2    -2
## 8        1     1          0     1      0     1      0     -2      -2    -2
## 9        0     1          0     1      0    -2     -2     -2      -2     1
## 10       1     0          0     1      0    -2     -2     -2      -2    -2
##    ZFOPAY SMARTMETER INTDATA INTDATAACC HHSEX ZHHSEX HHAGE ZHHAGE EMPLOYHH
## 1      -2          1       1          0     2      0    42      0        1
## 2      -2          1       0         -2     1      0    60      0        2
## 3      -2         -9      -9         -9     1      0    73      0        1
## 4      -2          0      -2         -2     1      0    69      0        0
## 5      -2          0      -2         -2     2      0    51      0        1
## 6      -2          0      -2         -2     2      0    33      0        0
## 7      -2          0      -2         -2     2      0    53      0        1
## 8      -2         -9      -9         -9     1      0    67      0        0
## 9       0          0      -2         -2     1      0    56      0        1
## 10     -2         -9      -9         -9     1      0    48      0        1
##    ZEMPLOYHH SDESCENT ZSDESCENT HOUSEHOLDER_RACE ZHOUSEHOLDER_RACE EDUCATION
## 1          0        0         0                1                 0         2
## 2          0        0         0                1                 0         2
## 3          0        0         0                1                 0         1
## 4          0        0         0                3                 0         4
## 5          0        0         0                4                 0         2
## 6          0        0         0                1                 0         1
## 7          0        0         0                1                 0         5
## 8          0        0         0                1                 0         2
## 9          0        0         0                1                 0         3
## 10         0        0         0                1                 0         4
##    ZEDUCATION NHSLDMEM ZNHSLDMEM NUMADULT ZNUMADULT NUMCHILD ZNUMCHILD ATHOME
## 1           0        4         0        2         0        2         0      0
## 2           0        2         0        2         0        0         0      1
## 3           0        4         0        3         0        1         0      5
## 4           0        1         0        1         0        0         0      3
## 5           0        3         0        2         0        1         0      0
## 6           0        1         0        1         0        0         0      3
## 7           0        1         0        1         0        0         0      0
## 8           0        2         0        2         0        0         0      5
## 9           0        4         0        4         0        0         0      5
## 10          0        4         0        2         0        2         0      5
##    ZATHOME MONEYPY ZMONEYPY ENERGYASST ZENERGYASST ENERGYASST11 ZENERGYASST11
## 1        0       8        1          0           0           -2            -2
## 2        0       2        0          0           1           -2            -2
## 3        0       2        0          0           0           -2            -2
## 4        0       3        0          0           0           -2            -2
## 5        0       3        0          0           0           -2            -2
## 6        0       1        0          0           0           -2            -2
## 7        0       4        0          0           0           -2            -2
## 8        0       3        0          1           0            1             0
## 9        0       5        1          0           0           -2            -2
## 10       0       6        0          0           0           -2            -2
##    ENERGYASST12 ZENERGYASST12 ENERGYASST13 ZENERGYASST13 ENERGYASST14
## 1            -2            -2           -2            -2           -2
## 2            -2            -2           -2            -2           -2
## 3            -2            -2           -2            -2           -2
## 4            -2            -2           -2            -2           -2
## 5            -2            -2           -2            -2           -2
## 6            -2            -2           -2            -2           -2
## 7            -2            -2           -2            -2           -2
## 8             1             0            1             0            1
## 9            -2            -2           -2            -2           -2
## 10           -2            -2           -2            -2           -2
##    ZENERGYASST14 ENERGYASST15 ZENERGYASST15 ENERGYASSTOTH ZENERGYASSTOTH SCALEB
## 1             -2           -2            -2            -2             -2      0
## 2             -2           -2            -2            -2             -2      0
## 3             -2           -2            -2            -2             -2      0
## 4             -2           -2            -2            -2             -2      0
## 5             -2           -2            -2            -2             -2      0
## 6             -2           -2            -2            -2             -2      0
## 7             -2           -2            -2            -2             -2      0
## 8              0            1             0             0              0      0
## 9             -2           -2            -2            -2             -2      0
## 10            -2           -2            -2            -2             -2      0
##    ZSCALEB SCALEG ZSCALEG SCALEE ZSCALEE PAYHELP ZPAYHELP NOHEATBROKE
## 1        0      0       0      0       0      -2       -2           0
## 2        0      0       0      0       0      -2       -2           0
## 3        0      0       0      0       0      -2       -2           0
## 4        0      0       0      0       0      -2       -2           0
## 5        0      0       0      0       0      -2       -2           0
## 6        0      0       0      0       0      -2       -2           0
## 7        0      0       0      0       0      -2       -2           0
## 8        0      2       0      0       0      -2       -2           0
## 9        0      0       0      0       0      -2       -2           0
## 10       0      0       0      0       0      -2       -2           0
##    ZNOHEATBROKE NOHEATEL ZNOHEATEL NOHEATNG ZNOHEATNG NOHEATBULK ZNOHEATBULK
## 1             0        0         0        0         0          0           0
## 2             0        0         0        0         0          0           0
## 3             0        0         0        0         0          0           0
## 4             0        0         0        0         0          0           0
## 5             0        0         0        0         0          0           0
## 6             0        0         0        0         0          0           0
## 7             0        0         0        0         0          0           0
## 8             0        0         0        0         0          0           0
## 9             0        0         0        0         0          0           0
## 10            0        0         0        0         0          0           0
##    NOHEATDAYS ZNOHEATDAYS NOHEATHELP ZNOHEATHELP COLDMA ZCOLDMA NOACBROKE
## 1          -2          -2         -2          -2      0       0         0
## 2          -2          -2         -2          -2      0       0         1
## 3          -2          -2         -2          -2      0       0         0
## 4          -2          -2         -2          -2      0       0         0
## 5          -2          -2         -2          -2      0       0         0
## 6          -2          -2         -2          -2      0       0         0
## 7          -2          -2         -2          -2      0       0         0
## 8          -2          -2         -2          -2      0       0         0
## 9          -2          -2         -2          -2      0       0         0
## 10         -2          -2         -2          -2      0       0         0
##    ZNOACBROKE NOACEL ZNOACEL NOACDAYS ZNOACDAYS NOACHELP ZNOACHELP HOTMA ZHOTMA
## 1           0      0       0       -2        -2       -2        -2     0      0
## 2           0      0       0       14         0        0         0     0      0
## 3           0      0       0       -2        -2       -2        -2     0      0
## 4           0      0       0       -2        -2       -2        -2     0      0
## 5           0      0       0       -2        -2       -2        -2     0      0
## 6           0      0       0       -2        -2       -2        -2     0      0
## 7           0      0       0       -2        -2       -2        -2     0      0
## 8           0      0       0       -2        -2       -2        -2     0      0
## 9           0      0       0       -2        -2       -2        -2     0      0
## 10          0      0       0       -2        -2       -2        -2     0      0
##    USEEL ELWARM ELCOOL ELWATER ELFOOD ELOTHER USENG UGWARM UGWATER UGCOOK UGOTH
## 1      1      0      1       0      0       1     1      1       1      1     0
## 2      1      1      1       1      1       1     0      0       0      0     0
## 3      1      1      1       0      1       1     1      1       1      0     0
## 4      1      1      1       0      1       1     0      0       0      0     0
## 5      1      0      1       0      0       1     1      1       1      1     1
## 6      1      0      1       0      1       1     0      0       0      0     0
## 7      1      0      1       0      1       1     1      1       1      0     0
## 8      1      0      1       0      1       1     1      1       1      0     0
## 9      1      0      1       1      1       1     0      0       0      0     0
## 10     1      1      1       1      1       1     0      0       0      0     0
##    USELP LPWARM LPWATER LPCOOK LPOTHER USEFO FOWARM FOWATER FOOTHER USEWOOD
## 1      0      0       0      0       0     0      0       0       0       0
## 2      0      0       0      0       0     0      0       0       0       0
## 3      0      0       0      0       0     0      0       0       0       0
## 4      1      1       1      0       0     0      0       0       0       0
## 5      0      0       0      0       0     0      0       0       0       0
## 6      1      1       1      0       0     0      0       0       0       0
## 7      0      0       0      0       0     0      0       0       0       0
## 8      0      0       0      0       0     0      0       0       0       0
## 9      0      0       0      0       0     1      1       0       0       0
## 10     0      0       0      0       0     0      0       0       0       0
##    WOODLOGS ZWOODLOGS WDPELLET ZWDPELLET WDOTHER WDWARM WDWATER USESOLAR
## 1        -2        -2       -2        -2      -2      0       0        0
## 2        -2        -2       -2        -2      -2      0       0        0
## 3        -2        -2       -2        -2      -2      0       0        0
## 4        -2        -2       -2        -2      -2      0       0        0
## 5        -2        -2       -2        -2      -2      0       0        0
## 6        -2        -2       -2        -2      -2      0       0        0
## 7        -2        -2       -2        -2      -2      0       0        0
## 8        -2        -2       -2        -2      -2      0       0        0
## 9        -2        -2       -2        -2      -2      0       0        0
## 10       -2        -2       -2        -2      -2      0       0        0
##    SOLWATER SOLOTHER TOTCSQFT TOTHSQFT TOTSQFT_EN ZTOTSQFT_EN TOTUCSQFT
## 1         0        0     1808     1808       1808           1       400
## 2         0        0      759      759        759           1         0
## 3         0        0     1716     1430       2288           1       572
## 4         0        0     2573     2573       2573           0       400
## 5         0        0      933      933       1024           1       341
## 6         0        0      623      623        623           0         0
## 7         0        0      832      832        832           1         0
## 8         0        0      358      894       2682           0      2574
## 9         0        0     1900     1900       1900           1       400
## 10        0        0     1230     1230       1230           1       400
##    TOTUSQFT  NWEIGHT    BRRWT1    BRRWT2    BRRWT3    BRRWT4    BRRWT5
## 1       400 12085.16 16555.311  5938.014 17725.586 17635.592  6032.801
## 2         0 14410.20 21486.287 19146.976  7320.376 23567.851 21926.554
## 3       858 23325.95 12297.437 36659.754 10476.220 10101.944 10291.104
## 4       400 12165.33 18553.959  5209.142 18041.476  5441.767  5815.606
## 5       341 16717.67  8075.744  8427.253  8335.558 23666.443  7674.488
## 6         0 26058.89 37004.087 34907.163 15314.899 33342.973 15332.520
## 7         0 45952.76 28077.392 71118.583 20106.888 68172.201 64424.780
## 8      2038 15280.98 22962.258  7067.475 25747.686 23842.533  7951.149
## 9       400 14034.71  6989.932  6954.717  7097.534 20873.026  8224.249
## 10      400 43359.16 73353.791 19161.079 16672.116 18551.024 81545.196
##       BRRWT6    BRRWT7    BRRWT8    BRRWT9   BRRWT10   BRRWT11  BRRWT12
## 1  17095.361  6003.357  5994.109  5403.025 17569.634 16620.985 18815.84
## 2   7477.377 21544.004  8189.435  6616.364  7260.425 21416.978 21356.46
## 3  39732.041 11547.832 12678.450 38550.936 10754.494 44738.596 36050.57
## 4   4936.011 22136.115 18412.680 18910.608  6621.357 20070.603 23333.12
## 5  25586.815 23442.036 26866.377  8263.590  8210.546  8292.449 25607.72
## 6  14433.868 14590.917 32685.290 34548.360 33987.754 14716.949 32993.49
## 7  56769.939 22868.619 18690.821 27477.944 84209.790 22968.848 24615.35
## 8  26022.534  7984.623  6924.728  6676.508 23981.827 23687.481 24816.17
## 9  19524.236 21250.771 19723.164  5853.121  6368.905  7158.647 22569.41
## 10 63727.996 67868.970 19365.197 69789.937 64151.311 22341.634 67045.76
##      BRRWT13   BRRWT14   BRRWT15   BRRWT16   BRRWT17   BRRWT18   BRRWT19
## 1   5660.360 20846.356  7251.431  6305.782 17556.877  5502.877 17874.881
## 2   7196.124  8036.602 21021.572  6465.171  7067.367 19909.662  7107.315
## 3  12305.637 36765.320 10564.846 10107.791 10336.977 40280.793 11448.875
## 4  18647.620  5191.860 17992.927  5299.330  5938.830  4850.357 21861.162
## 5  24152.584 25632.350 27171.846  7484.560 24470.176  8446.096  7888.243
## 6  36403.772 34958.618 14994.658 33526.677 15120.528 14266.978 14766.776
## 7  61313.403 24262.097 55609.969 31353.019 22056.806 21275.562 74685.129
## 8  22493.780  6726.533 25790.025 24029.772  6785.736 26481.625  7270.741
## 9  22462.298 22151.844 19986.184  7626.147 23286.179  6040.037  6770.155
## 10 19394.329 77443.655 83486.309 75867.969 17688.343 22775.673 21210.768
##      BRRWT20   BRRWT21   BRRWT22   BRRWT23   BRRWT24   BRRWT25   BRRWT26
## 1  17451.189 17030.048  7275.919  6400.974  6151.373  6705.398 18503.444
## 2  19018.770 22595.883 21752.832  7500.772  7152.593 21478.760 18859.688
## 3  12917.423 38379.492 10780.913 44251.817 36588.754 12222.733 37014.112
## 4  18002.623 18250.704  6622.309 20087.161 22551.637  6004.821 21341.798
## 5   8830.740 26073.539 24965.832 26672.044  8319.093  7897.512  8402.612
## 6  32376.912 35316.988 33928.820 14958.953 32981.762 36774.465 34466.961
## 7  80576.478 70171.310 22270.785 73188.879 68396.990 62953.172 24897.669
## 8   6998.624  6977.522 22914.678 29645.954 23665.567  7703.731 25894.497
## 9   7081.399 19449.808 20462.225 20695.699  8116.199  7072.017  6841.469
## 10 74481.049 20238.178 21894.576 64258.484 22206.969 74876.470 19552.800
##      BRRWT27  BRRWT28   BRRWT29   BRRWT30   BRRWT31   BRRWT32   BRRWT33
## 1   6297.252  6184.16 17977.633  6607.865 18256.832 18852.475 20878.198
## 2   7387.885 23539.85 21902.678  7631.062 22392.781  8173.637  6749.812
## 3  10440.073 10106.85 10218.847 39701.172 11106.929 12637.239 38222.725
## 4   6050.059 21256.76 18980.266 24295.083  5151.433  6426.631  6065.797
## 5   8305.634 23803.11  7608.350 26244.860 23640.612 27178.059  8290.589
## 6  14978.504 33670.62 15288.960 14115.451 14860.085 32563.263 34506.569
## 7  57145.428 31597.31 22155.613 20359.592 74020.876 80486.253 70908.259
## 8   6705.512  7264.53 25319.426  6729.783 24871.497 24607.200 24917.847
## 9   7132.981 20746.63  8248.711 19727.267 22132.579 19879.679  6001.543
## 10 16896.975 18447.38 80165.730 62841.057 66384.998 19228.345 70280.205
##      BRRWT34   BRRWT35   BRRWT36   BRRWT37   BRRWT38   BRRWT39   BRRWT40
## 1   6389.165  6778.368  5860.646 19442.551  5341.872 15547.320 17705.661
## 2   7289.730 21361.095 20857.953  7287.374  7952.854 21287.488  6580.237
## 3  10721.895 45225.201 36294.411 12280.110 37137.315 10443.170 10101.028
## 4  16890.978  5495.542  5021.084  6042.867 21647.192  5943.324 21358.193
## 5   8236.846  8436.960 25605.331 24466.760 25387.180 27195.956  7526.401
## 6  34466.192 14458.219 33390.457 36530.039 34577.856 15025.949 33430.073
## 7  22522.778 72410.003 67914.777 28274.717 71482.426 19918.401 68816.641
## 8   7634.592  6162.223  7226.018  7498.270 24474.502  6818.859  7377.129
## 9   6387.133  7077.965 21887.893 22622.866 21913.571 20035.314  7734.796
## 10 64059.258 22149.905 67956.727 19064.605 76132.547 86621.608 76012.505
##      BRRWT41   BRRWT42   BRRWT43   BRRWT44   BRRWT45   BRRWT46   BRRWT47
## 1   6247.487 20121.661  6082.009  6229.540  6435.381 15387.715 17357.448
## 2   7217.387 20227.646  7123.718 19074.912 22693.945 21767.523  7466.728
## 3  10072.374 39709.785 11412.832 12843.561 38828.054 10733.517 44079.443
## 4  19832.834 23857.718  4968.961  6301.514  5912.768 16933.112  5453.493
## 5  24139.195  8415.982  7738.799  8787.417 25444.675 24787.608 26505.393
## 6  15504.348 14217.577 14744.821 32279.325 34113.663 34112.285 15001.192
## 7  63505.766 56426.158 22523.866 18514.252 28017.120 86003.990 23545.722
## 8  21953.686  6722.853 22444.816 25701.458 26000.728  7220.457  7436.269
## 9  24383.780  6136.038  6763.337  7138.481 19723.178 20636.507 20440.237
## 10 17642.641 22877.687 21270.735 73263.887 20564.692 22333.501 65224.142
##      BRRWT48   BRRWT49   BRRWT50   BRRWT51   BRRWT52   BRRWT53   BRRWT54
## 1  17755.367  6846.206 18367.765  6294.548  6189.488 18219.620  6499.157
## 2   7192.406  7330.267  7935.991 21284.438  6565.517  7090.929 20077.067
## 3  36095.733 31904.992 11473.823 40306.272 41226.171 39890.757 10735.878
## 4   5104.842 19286.819  5066.985 18125.456  5464.691  5938.565  4935.973
## 5   8227.120  8076.473  8437.369  8310.941 23695.683  7549.297 25512.206
## 6  33206.407 36945.264 34108.858 15064.418 33237.707 15537.102 14172.971
## 7  24656.044 28414.172 67864.258 27372.784 54139.011 77039.375 80214.483
## 8   7170.190 23572.987  6905.348 25888.357 23825.955  8074.230 25797.886
## 9   8228.444  7225.645  6808.247  7124.675 20786.453  8391.826 19275.006
## 10 22471.212 18856.740 77576.070 86456.278 75961.021 17722.157 22757.058
##      BRRWT55   BRRWT56   BRRWT57   BRRWT58   BRRWT59   BRRWT60  BRRWT61
## 1  17820.585 18569.424 20761.907  6428.852  6768.231  5911.444 18925.21
## 2   7120.228 18743.339 23075.657 22033.524  7455.528  7178.817 21260.80
## 3  33985.034 33213.491 10758.639 37617.105  9669.441 11397.982 32806.24
## 4  22233.509 18220.653 19024.867  6709.704 20217.561 22954.863 18317.98
## 5  23256.642 26673.742  8226.518  8254.940  8167.152 25630.712 23986.69
## 6  14847.893 32109.295 34318.574 34350.705 14684.098 33029.070 36265.43
## 7  20919.053 20627.030 21916.828 69629.542 21635.238 23408.076 56517.85
## 8   8052.008  6750.158  6702.170 24316.350 23722.275 24510.466 22302.66
## 9  21347.066 19106.056  5967.114  6443.144  7162.832 22133.315 22016.57
## 10 21474.890 73252.820 20386.613 21899.578 64766.675 22016.568 75561.26
##      BRRWT62   BRRWT63   BRRWT64   BRRWT65   BRRWT66   BRRWT67   BRRWT68
## 1   5344.386 15512.265 17562.181  6299.309 20108.439  6131.370  6279.366
## 2  19311.642  7370.956 23410.775 22271.962  7478.124 21903.295  8045.496
## 3  11365.521 40543.403 41214.707 39619.338 10658.259 33935.138 32836.115
## 4   5126.133 18103.390  5342.446  6109.292  4886.683 22277.019 18077.601
## 5  25434.756 26952.555  7537.584 24445.501  8510.726  7868.541  8892.969
## 6  34473.219 14795.522 33444.999 15539.092 14188.363 14722.228 32805.056
## 7  23771.932 79972.415 22753.570 25509.970 29619.173 67298.244 85030.593
## 8   6696.614 25946.092 24073.554  6937.478 26692.585  7330.036  7016.715
## 9  22113.644 20173.400  7651.129 24168.108  6065.427  6795.822  7102.605
## 10 19630.713 16831.266 18587.000 78449.616 64311.208 66528.944 19168.711
##      BRRWT69   BRRWT70   BRRWT71   BRRWT72   BRRWT73   BRRWT74   BRRWT75
## 1   6573.608 15349.331 17246.880 17888.587 16771.843  5881.928 17695.101
## 2   6741.972  7209.181 21149.276 21104.178  7281.972  7989.091 21279.851
## 3  10640.151 37931.825  9777.236 11246.904 31915.927 11481.274 40590.631
## 4  18798.851  6543.978 19825.515 23085.536  6113.546 21409.382  6082.625
## 5  26143.480 24976.282 26679.512  8311.782  7975.864  8444.360  8273.016
## 6  35025.447 34328.756 14808.000 33422.257 37205.564 34487.504 14928.765
## 7  59098.651 20235.639 66700.570 67169.727 56360.788 23561.328 81316.384
## 8   7119.477 22922.023 29009.095 24140.918  7808.343 25938.381  6650.148
## 9  20168.290 20459.717 20134.655  8351.055  7187.068  6865.230  7124.160
## 10 69377.165 65009.632 22280.799 66775.203 19220.285 78263.799 84246.239
##      BRRWT76   BRRWT77  BRRWT78   BRRWT79  BRRWT80   BRRWT81   BRRWT82
## 1  17373.137  6044.760 17014.47  6050.895  5889.57  5402.608 17313.850
## 2   6563.199  7100.971 20354.95  7161.521 18948.92 22955.422 21201.350
## 3  41214.892 40249.382 10605.48 34432.802 32965.77 10746.575 38172.243
## 4  21072.368 19140.833 24103.48  5037.624  6162.32  6045.608 16387.639
## 5  23497.871  7620.092 25619.90 23670.636 26803.82  8193.872  8123.054
## 6  33237.441 15431.557 14231.90 14464.968 32777.32 34521.261 34386.905
## 7  23612.380 25432.978 29567.16 66533.654 87689.72 59899.430 20685.944
## 8   7174.023 25465.458  6623.97 24223.907 23967.52 24754.636  7441.554
## 9  20771.644  8351.560 19819.22 21483.635 19037.60  5876.144  6195.761
## 10 78246.159 17504.329 22895.08 21200.682 74560.25 20430.789 22292.056
##      BRRWT83   BRRWT84   BRRWT85  BRRWT86   BRRWT87   BRRWT88  BRRWT89
## 1  16937.998 18466.390  5675.986 21015.94  7256.770  6311.331 17711.27
## 2   7508.620  7130.909 21570.198 19300.38  7406.651 23379.950 22078.42
## 3   9567.936 11485.191 32355.198 11384.38 40354.809 41459.320 39725.75
## 4   5599.611  4966.972  5953.997 22241.02  6025.221 21026.244 19299.87
## 5   8294.433 25767.449 24432.227 25295.11 27262.893  7495.744 24432.43
## 6  14828.801 32831.705 36730.510 34555.56 14950.565 33125.225 15632.32
## 7  67255.385 69301.241 28716.309 66232.17 27006.191 54952.801 76400.62
## 8   6268.033  7134.579  7391.801 24872.34  6840.652  7255.295 21784.10
## 9   7192.953 21646.009 22359.598 22482.13 20187.617  7618.310 23814.97
## 10 63357.485 22175.492 73061.627 19059.81 16798.479 18771.780 81583.92
##      BRRWT90   BRRWT91   BRRWT92   BRRWT93   BRRWT94   BRRWT95   BRRWT96
## 1   5517.710 17812.844 17483.082 17135.622  7305.994  6311.889  6200.078
## 2   7492.123 21567.224  8028.530  6600.739  7242.987 21107.678 21255.527
## 3  10544.423 34614.139 33074.557 10837.952 37756.114  9673.744 11342.911
## 4  23766.895  4923.027  6302.794  5957.332 16923.547  5483.992  5123.054
## 5   8370.279  7832.980  8760.150 25890.094 24907.848 26484.616  8290.542
## 6  14448.819 14517.486 32305.613 34995.513 34364.739 14823.531 32693.288
## 7  80513.846 20690.202 20963.533 21964.476 68862.319 21529.855 23930.526
## 8   6713.814 22238.068 25589.692 26260.344  7218.586  7357.843  7163.839
## 9   6214.182  6750.659  7108.469 19806.235 20622.657 20133.676  8223.503
## 10 64836.773 67226.823 19585.029 68982.875 64148.646 22349.228 67786.226
##    CDD30YR CDD65 CDD80 CLIMATE_REGION_PUB IECC_CLIMATE_PUB HDD30YR HDD65 HDD50
## 1     1332  1768   118  Hot-Dry/Mixed-Dry            3B-4B    2640  2031   213
## 2     2494  2795   417          Hot-Humid            1A-2A    2178  1915   466
## 3     2059  2235   126        Mixed-Humid               3A    2714  2263   634
## 4     1327  1374    63        Mixed-Humid               4A    4205  3754  1321
## 5      871   993     9     Cold/Very Cold               5A    5397  5401  2462
## 6      396   408    10     Cold/Very Cold            6A-6B    7224  7597  3684
## 7     2546  2582   239          Hot-Humid               3A    1795  1579   353
## 8      597   673     0     Cold/Very Cold            6A-6B    7191  6560  3555
## 9      820  1083    52     Cold/Very Cold               5A    5583  5301  2391
## 10    3022  3390   598          Hot-Humid            1A-2A    1528  1400   241
##    GNDHDD65  WSF OA_LAT   GWT DBT1 DBT99       KWH   KWHSPH   KWHCOL   KWHWTH
## 1   1666.36 0.50  0.003 62.27 97.9  33.0  5270.742    0.000 1991.505    0.000
## 2    871.92 0.40 13.189 67.36 96.8  31.7 12173.000 3390.979 2223.717 2089.679
## 3   1860.23 0.37 10.271 62.32 92.5  24.9 19655.394 3651.818 6837.336    0.000
## 4   3354.35 0.46  7.157 56.76 91.3  15.9  9852.535 1412.232 3534.948    0.000
## 5   5461.22 0.50  4.527 50.04 88.4  15.5  3115.655    0.000  332.701    0.000
## 6   7893.00 0.50  2.334 43.38 84.5   0.4  2777.000    0.000  157.203    0.000
## 7    698.82 0.43 19.303 69.19 86.2  34.6  2397.758    0.000  934.817    0.000
## 8   7232.66 0.61  2.011 45.18 86.6  -1.6 13890.899    0.000  676.650    0.000
## 9   5471.12 0.50  4.562 50.01 88.4  15.5 10422.424    0.000  804.897 3335.301
## 10   410.71 0.45 12.178 70.88 97.2  32.7 18505.802 2570.243 3102.518 3164.641
##      KWHRFG  KWHRFG1 KWHRFG2  KWHFRZ   KWHCOK KWHMICRO   KWHCW   KWHCDR  KWHDWH
## 1   422.951  422.951   0.000 272.055    0.000  100.304  24.930  506.178 185.124
## 2   752.709  752.709   0.000 270.167  295.082  197.841   0.000    0.000   0.000
## 3  1465.044 1093.210 371.834   0.000 1362.857  145.729  26.326  533.326 224.070
## 4   639.980  436.886 203.094 483.588  112.720    0.000  38.956  498.861   0.000
## 5   311.469  270.185  41.284   0.000    0.000   56.869  28.387  293.780   0.000
## 6   227.265  227.265   0.000   0.000  317.748   30.898   0.000    0.000   0.000
## 7   469.290  469.290   0.000   0.000  117.600   96.819  15.823    0.000   0.000
## 8  1032.569 1032.569   0.000 487.699  527.720  547.651  72.458  738.751 133.558
## 9  1241.351  483.232 758.119 262.156  230.676  117.623  15.296  313.609 150.466
## 10  750.257  750.257   0.000   0.000  303.823  145.645 236.660 2996.609 536.387
##      KWHLGT KWHTVREL  KWHTV1  KWHTV2 KWHAHUHEAT KWHAHUCOL KWHEVAPCOL  KWHCFAN
## 1   409.651  261.761 115.220  20.904    133.102   101.854          0  348.590
## 2  1109.597  445.243 303.136  20.802      0.000     0.000          0  418.690
## 3   917.391 1857.856 297.742 114.187    200.526   264.038          0 1127.715
## 4   484.534  480.339  65.107  15.047    499.514   196.457          0  912.032
## 5   604.038  358.968  50.996  81.677    104.540    15.978          0   99.024
## 6   263.456  676.780 117.668   0.000     65.208     0.000          0    0.000
## 7   172.427  264.259  36.174   0.000     24.613    45.123          0   25.584
## 8   215.597  713.783 324.761  16.201    465.659     0.000          0  630.980
## 9   955.390 1550.730 372.146 108.726    225.954    41.062          0  284.833
## 10 2340.238 1149.311 189.129  68.834     37.881   150.168          0  235.539
##     KWHDHUM KWHHUM KWHPLPMP KWHHTBPMP KWHHTBHEAT   KWHNEC     BTUEL  BTUELSPH
## 1     0.000  0.000        0         0          0  512.736 17983.771     0.000
## 2     0.000 44.696        0         0          0  934.599 41534.000 11570.020
## 3     0.000  0.000        0         0          0 1041.363 67064.204 12460.003
## 4     0.000  0.000        0         0          0  558.375 33616.851  4818.534
## 5   156.175  0.000        0         0          0  753.726 10630.615     0.000
## 6     0.000  0.000        0         0          0 1038.441  9475.000     0.000
## 7     0.000  0.000        0         0          0  231.401  8181.149     0.000
## 8  2575.806  0.000        0         0          0 5072.016 47395.746     0.000
## 9     0.000  0.000        0         0          0  893.079 35561.312     0.000
## 10    0.000  0.000        0         0          0  785.883 63141.798  8769.670
##     BTUELCOL  BTUELWTH BTUELRFG BTUELRFG1 BTUELRFG2 BTUELFRZ BTUELCOK
## 1   6795.016     0.000 1443.108  1443.108     0.000  928.253    0.000
## 2   7587.322  7129.985 2568.243  2568.243     0.000  921.810 1006.820
## 3  23328.992     0.000 4998.729  3730.031  1268.698    0.000 4650.068
## 4  12061.243     0.000 2183.613  1490.655   692.958 1650.001  384.600
## 5   1135.176     0.000 1062.732   921.870   140.862    0.000    0.000
## 6    536.377     0.000  775.428   775.428     0.000    0.000 1084.156
## 7   3189.596     0.000 1601.216  1601.216     0.000    0.000  401.253
## 8   2308.731     0.000 3523.125  3523.125     0.000 1664.029 1800.581
## 9   2746.309 11380.048 4235.489  1648.789  2586.701  894.478  787.067
## 10 10585.792 10797.754 2559.876  2559.876     0.000    0.000 1036.644
##    BTUELMICRO BTUELCW  BTUELCDR BTUELDWH BTUELLGT BTUELTVREL BTUELTV1 BTUELTV2
## 1     342.236  85.063  1727.078  631.643 1397.731    893.129  393.131   71.324
## 2     675.033   0.000     0.000    0.000 3785.945   1519.169 1034.300   70.976
## 3     497.226  89.824  1819.709  764.525 3130.138   6339.003 1015.896  389.606
## 4       0.000 132.916  1702.112    0.000 1653.232   1638.915  222.145   51.340
## 5     194.038  96.856  1002.376    0.000 2060.978   1224.799  173.998  278.682
## 6     105.424   0.000     0.000    0.000  898.912   2309.173  401.483    0.000
## 7     330.348  53.989     0.000    0.000  588.322    901.652  123.426    0.000
## 8    1868.585 247.227  2520.619  455.701  735.618   2435.429 1108.085   55.278
## 9     401.328  52.191  1070.033  513.390 3259.791   5291.091 1269.762  370.973
## 10    496.941 807.483 10224.429 1830.152 7984.893   3921.450  645.308  234.862
##    BTUELAHUHEAT BTUELAHUCOL BTUELEVAPCOL BTUELCFAN BTUELDHUM BTUELHUM
## 1       454.143     347.526            0  1189.388     0.000    0.000
## 2         0.000       0.000            0  1428.570     0.000  152.503
## 3       684.194     900.897            0  3847.765     0.000    0.000
## 4      1704.342     670.313            0  3111.853     0.000    0.000
## 5       356.691      54.517            0   337.870   532.870    0.000
## 6       222.490       0.000            0     0.000     0.000    0.000
## 7        83.981     153.961            0    87.293     0.000    0.000
## 8      1588.829       0.000            0  2152.904  8788.649    0.000
## 9       770.955     140.105            0   971.850     0.000    0.000
## 10      129.248     512.373            0   803.660     0.000    0.000
##    BTUELPLPMP BTUELHTBPMP BTUELHTBHEAT  BTUELNEC DOLLAREL DOLELSPH DOLELCOL
## 1           0           0            0  1749.457   967.23     0.00   365.46
## 2           0           0            0  3188.852  1366.00   380.52   249.54
## 3           0           0            0  3553.130  2428.08   451.12   844.63
## 4           0           0            0  1905.175  1313.12   188.22   471.13
## 5           0           0            0  2571.711   581.07     0.00    62.05
## 6           0           0            0  3543.161   494.00     0.00    27.96
## 7           0           0            0   789.539   371.61     0.00   144.88
## 8           0           0            0 17305.718  1737.17     0.00    84.62
## 9           0           0            0  3047.186  1531.91     0.00   118.31
## 10          0           0            0  2681.434  1973.72   274.13   330.90
##    DOLELWTH DOLELRFG DOLELRFG1 DOLELRFG2 DOLELFRZ DOLELCOK DOLELMICRO DOLELCW
## 1      0.00    77.62     77.62      0.00    49.92     0.00      18.41    4.57
## 2    234.49    84.47     84.47      0.00    30.32    33.11      22.20    0.00
## 3      0.00   180.98    135.05     45.93     0.00   168.36      18.00    3.25
## 4      0.00    85.29     58.23     27.07    64.45    15.02       0.00    5.19
## 5      0.00    58.09     50.39      7.70     0.00     0.00      10.61    5.29
## 6      0.00    40.43     40.43      0.00     0.00    56.52       5.50    0.00
## 7      0.00    72.73     72.73      0.00     0.00    18.23      15.01    2.45
## 8      0.00   129.13    129.13      0.00    60.99    66.00      68.49    9.06
## 9    490.23   182.46     71.03    111.43    38.53    33.91      17.29    2.25
## 10   337.52    80.02     80.02      0.00     0.00    32.40      15.53   25.24
##    DOLELCDR DOLELDWH DOLELLGT DOLELTVREL DOLELTV1 DOLELTV2 DOLELAHUHEAT
## 1     92.89    33.97    75.18      48.04    21.07     3.82        24.43
## 2      0.00     0.00   124.51      49.96    34.02     2.33         0.00
## 3     65.88    27.68   113.33     229.51    36.78    14.11        24.77
## 4     66.49     0.00    64.58      64.02     8.68     2.01        66.57
## 5     54.79     0.00   112.65      66.95     9.51    15.23        19.50
## 6      0.00     0.00    46.87     120.39    20.93     0.00        11.60
## 7      0.00     0.00    26.72      40.96     5.61     0.00         3.81
## 8     92.39    16.70    26.96      89.26    40.56     2.02        58.23
## 9     46.09    22.12   140.43     227.93    54.70    15.98        33.21
## 10   319.60    57.21   249.60     122.58    20.15     7.33         4.04
##    DOLELAHUCOL DOLELEVAPCOL DOLELCFAN DOLELDHUM DOLELHUM DOLELPLPMP DOLELHTBPMP
## 1        18.69            0     63.97      0.00     0.00          0           0
## 2         0.00            0     46.98      0.00     5.02          0           0
## 3        32.62            0    139.31      0.00     0.00          0           0
## 4        26.18            0    121.55      0.00     0.00          0           0
## 5         2.98            0     18.47     29.13     0.00          0           0
## 6         0.00            0      0.00      0.00     0.00          0           0
## 7         6.99            0      3.97      0.00     0.00          0           0
## 8         0.00            0     78.91    322.13     0.00          0           0
## 9         6.04            0     41.87      0.00     0.00          0           0
## 10       16.02            0     25.12      0.00     0.00          0           0
##    DOLELHTBHEAT DOLELNEC CUFEETNG CUFEETNGSPH CUFEETNGWTH CUFEETNGCOK
## 1             0    94.09  299.946     120.689     169.719       9.538
## 2             0   104.88    0.000       0.000       0.000       0.000
## 3             0   128.64  294.420     110.238     184.182       0.000
## 4             0    74.42    0.000       0.000       0.000       0.000
## 5             0   140.57  252.370      51.928     168.538      22.034
## 6             0   184.73    0.000       0.000       0.000       0.000
## 7             0    35.86  432.740     133.594     100.652       0.000
## 8             0   634.30  824.741     653.950     170.792       0.000
## 9             0   131.27    0.000       0.000       0.000       0.000
## 10            0    83.82    0.000       0.000       0.000       0.000
##    CUFEETNGCDR CUFEETNGPLHEAT CUFEETNGHTBHEAT CUFEETNGNEC    BTUNG  BTUNGSPH
## 1            0              0               0       0.000 30990.80 12469.727
## 2            0              0               0       0.000     0.00     0.000
## 3            0              0               0       0.000 29483.96 11039.514
## 4            0              0               0       0.000     0.00     0.000
## 5            0              0               0       9.869 25951.53  5339.841
## 6            0              0               0       0.000     0.00     0.000
## 7            0              0               0     198.495 44480.57 13731.855
## 8            0              0               0       0.000 83739.34 66398.170
## 9            0              0               0       0.000     0.00     0.000
## 10           0              0               0       0.000     0.00     0.000
##    BTUNGWTH BTUNGCOK BTUNGCDR BTUNGPLHEAT BTUNGHTBHEAT  BTUNGNEC DOLLARNG
## 1  17535.62  985.448        0           0            0     0.000   438.87
## 2      0.00    0.000        0           0            0     0.000     0.00
## 3  18444.44    0.000        0           0            0     0.000   400.76
## 4      0.00    0.000        0           0            0     0.000     0.00
## 5  17331.01 2265.816        0           0            0  1014.863   329.82
## 6      0.00    0.000        0           0            0     0.000     0.00
## 7  10345.80    0.000        0           0            0 20402.920   643.57
## 8  17341.17    0.000        0           0            0     0.000   646.91
## 9      0.00    0.000        0           0            0     0.000     0.00
## 10     0.00    0.000        0           0            0     0.000     0.00
##    DOLNGSPH DOLNGWTH DOLNGCOK DOLNGCDR DOLNGPLHEAT DOLNGHTBHEAT DOLNGNEC
## 1    176.59   248.33    13.96        0           0            0      0.0
## 2      0.00     0.00     0.00        0           0            0      0.0
## 3    150.06   250.71     0.00        0           0            0      0.0
## 4      0.00     0.00     0.00        0           0            0      0.0
## 5     67.87   220.26    28.80        0           0            0     12.9
## 6      0.00     0.00     0.00        0           0            0      0.0
## 7    198.68   149.69     0.00        0           0            0    295.2
## 8    512.95   133.97     0.00        0           0            0      0.0
## 9      0.00     0.00     0.00        0           0            0      0.0
## 10     0.00     0.00     0.00        0           0            0      0.0
##    GALLONLP GALLONLPSPH GALLONLPWTH GALLONLPCOK GALLONLPCDR GALLONLPNEC
## 1     0.000       0.000       0.000           0           0           0
## 2     0.000       0.000       0.000           0           0           0
## 3     0.000       0.000       0.000           0           0           0
## 4   609.498     521.055      88.443           0           0           0
## 5     0.000       0.000       0.000           0           0           0
## 6   227.947     111.345     116.602           0           0           0
## 7     0.000       0.000       0.000           0           0           0
## 8     0.000       0.000       0.000           0           0           0
## 9     0.000       0.000       0.000           0           0           0
## 10    0.000       0.000       0.000           0           0           0
##       BTULP BTULPSPH  BTULPWTH BTULPCOK BTULPCDR BTULPNEC DOLLARLP DOLLPSPH
## 1      0.00     0.00     0.000        0        0        0     0.00     0.00
## 2      0.00     0.00     0.000        0        0        0     0.00     0.00
## 3      0.00     0.00     0.000        0        0        0     0.00     0.00
## 4  55667.49 47589.65  8077.839        0        0        0   789.86   675.25
## 5      0.00     0.00     0.000        0        0        0     0.00     0.00
## 6  20819.15 10169.51 10649.641        0        0        0   545.99   266.70
## 7      0.00     0.00     0.000        0        0        0     0.00     0.00
## 8      0.00     0.00     0.000        0        0        0     0.00     0.00
## 9      0.00     0.00     0.000        0        0        0     0.00     0.00
## 10     0.00     0.00     0.000        0        0        0     0.00     0.00
##    DOLLPWTH DOLLPCOK DOLLPCDR DOLLPNEC GALLONFO GALLONFOSPH GALLONFOWTH
## 1      0.00        0        0        0    0.000       0.000           0
## 2      0.00        0        0        0    0.000       0.000           0
## 3      0.00        0        0        0    0.000       0.000           0
## 4    114.62        0        0        0    0.000       0.000           0
## 5      0.00        0        0        0    0.000       0.000           0
## 6    279.29        0        0        0    0.000       0.000           0
## 7      0.00        0        0        0    0.000       0.000           0
## 8      0.00        0        0        0    0.000       0.000           0
## 9      0.00        0        0        0  422.853     422.853           0
## 10     0.00        0        0        0    0.000       0.000           0
##    GALLONFONEC    BTUFO BTUFOSPH BTUFOWTH BTUFONEC DOLLARFO DOLFOSPH DOLFOWTH
## 1            0     0.00     0.00        0        0     0.00     0.00        0
## 2            0     0.00     0.00        0        0     0.00     0.00        0
## 3            0     0.00     0.00        0        0     0.00     0.00        0
## 4            0     0.00     0.00        0        0     0.00     0.00        0
## 5            0     0.00     0.00        0        0     0.00     0.00        0
## 6            0     0.00     0.00        0        0     0.00     0.00        0
## 7            0     0.00     0.00        0        0     0.00     0.00        0
## 8            0     0.00     0.00        0        0     0.00     0.00        0
## 9            0 58122.09 58122.09        0        0   953.05   953.05        0
## 10           0     0.00     0.00        0        0     0.00     0.00        0
##    DOLFONEC  TOTALBTU TOTALDOL TOTALBTUSPH TOTALDOLSPH TOTALBTUWTH TOTALDOLWTH
## 1         0  48974.57  1406.10   12469.727      176.59   17535.625      248.33
## 2         0  41534.00  1366.00   11570.020      380.52    7129.985      234.49
## 3         0  96548.16  2828.84   23499.517      601.17   18444.442      250.71
## 4         0  89284.35  2102.98   52408.189      863.46    8077.839      114.62
## 5         0  36582.15   910.89    5339.841       67.87   17331.011      220.26
## 6         0  30294.15  1039.99   10169.506      266.70   10649.641      279.29
## 7         0  52661.72  1015.17   13731.855      198.68   10345.797      149.69
## 8         0 131135.09  2384.08   66398.170      512.95   17341.172      133.97
## 9         0  93683.40  2484.96   58122.088      953.05   11380.048      490.23
## 10        0  63141.80  1973.72    8769.670      274.13   10797.754      337.52
##    TOTALBTUCOK TOTALDOLCOK TOTALBTUCDR TOTALDOLCDR TOTALBTUPL TOTALDOLPL
## 1      985.448       13.96    1727.078       92.89          0          0
## 2     1006.820       33.11       0.000        0.00          0          0
## 3     4650.068      168.36    1819.709       65.88          0          0
## 4      384.600       15.02    1702.112       66.49          0          0
## 5     2265.816       28.80    1002.376       54.79          0          0
## 6     1084.156       56.52       0.000        0.00          0          0
## 7      401.253       18.23       0.000        0.00          0          0
## 8     1800.581       66.00    2520.619       92.39          0          0
## 9      787.067       33.91    1070.033       46.09          0          0
## 10    1036.644       32.40   10224.429      319.60          0          0
##    TOTALBTUHTB TOTALDOLHTB TOTALBTUNEC TOTALDOLNEC WOODAMT ZWOODAMT WOODBTU
## 1            0           0    1749.457       94.09      -2       -2       0
## 2            0           0    3188.852      104.88      -2       -2       0
## 3            0           0    3553.130      128.64      -2       -2       0
## 4            0           0    1905.175       74.42      -2       -2       0
## 5            0           0    3586.574      153.47      -2       -2       0
## 6            0           0    3543.161      184.73      -2       -2       0
## 7            0           0   21192.459      331.06      -2       -2       0
## 8            0           0   17305.718      634.30      -2       -2       0
## 9            0           0    3047.186      131.27      -2       -2       0
## 10           0           0    2681.434       83.82      -2       -2       0
##    PELLETAMT ZPELLETAMT PELLETBTU ELXBTU PERIODEL ZELAMOUNT NGXBTU PERIODNG
## 1         -2         -2         0  3.412        1         0 103.32        1
## 2         -2         -2         0  3.412        5         1     NA       -2
## 3         -2         -2         0  3.412        1         0 100.14        1
## 4         -2         -2         0  3.412        1         0     NA       -2
## 5         -2         -2         0  3.412        1         0 102.83        1
## 6         -2         -2         0  3.412        5         1     NA       -2
## 7         -2         -2         0  3.412        1         0 102.79        1
## 8         -2         -2         0  3.412        1         0 101.53        1
## 9         -2         -2         0  3.412        1         0     NA       -2
## 10        -2         -2         0  3.412        1         0     NA       -2
##    ZNGAMOUNT FOXBTU PERIODFO ZFOAMOUNT LPXBTU PERIODLP ZLPAMOUNT
## 1          0 137.45       -2        -2  91.33       -2        -2
## 2         -2 137.45       -2        -2  91.33       -2        -2
## 3          0 137.45       -2        -2  91.33       -2        -2
## 4         -2 137.45       -2        -2  91.33        2         0
## 5          0 137.45       -2        -2  91.33       -2        -2
## 6         -2 137.45       -2        -2  91.33        5         1
## 7          0 137.45       -2        -2  91.33       -2        -2
## 8          0 137.45       -2        -2  91.33       -2        -2
## 9         -2 137.45        1         0  91.33       -2        -2
## 10        -2 137.45       -2        -2  91.33       -2        -2
colnames(energy, 10)
##   [1] "DOEID"              "REGIONC"            "DIVISION"          
##   [4] "METROMICRO"         "UATYP10"            "TYPEHUQ"           
##   [7] "ZTYPEHUQ"           "CELLAR"             "ZCELLAR"           
##  [10] "BASEFIN"            "ZBASEFIN"           "ATTIC"             
##  [13] "ZATTIC"             "ATTICFIN"           "ZATTICFIN"         
##  [16] "STORIES"            "ZSTORIES"           "PRKGPLC1"          
##  [19] "ZPRKGPLC1"          "SIZEOFGARAGE"       "ZSIZEOFGARAGE"     
##  [22] "KOWNRENT"           "ZKOWNRENT"          "YEARMADERANGE"     
##  [25] "ZYEARMADERANGE"     "OCCUPYYRANGE"       "ZOCCUPYYRANGE"     
##  [28] "STUDIO"             "ZSTUDIO"            "BEDROOMS"          
##  [31] "ZBEDROOMS"          "NCOMBATH"           "ZNCOMBATH"         
##  [34] "NHAFBATH"           "ZNHAFBATH"          "OTHROOMS"          
##  [37] "ZOTHROOMS"          "TOTROOMS"           "ZTOTROOMS"         
##  [40] "WALLTYPE"           "ZWALLTYPE"          "ROOFTYPE"          
##  [43] "ZROOFTYPE"          "HIGHCEIL"           "ZHIGHCEIL"         
##  [46] "DOOR1SUM"           "ZDOOR1SUM"          "WINDOWS"           
##  [49] "ZWINDOWS"           "TYPEGLASS"          "ZTYPEGLASS"        
##  [52] "WINFRAME"           "ZWINFRAME"          "ADQINSUL"          
##  [55] "ZADQINSUL"          "DRAFTY"             "ZDRAFTY"           
##  [58] "UGASHERE"           "ZUGASHERE"          "SWIMPOOL"          
##  [61] "ZSWIMPOOL"          "MONPOOL"            "ZMONPOOL"          
##  [64] "POOL"               "ZPOOL"              "FUELPOOL"          
##  [67] "ZFUELPOOL"          "RECBATH"            "ZRECBATH"          
##  [70] "MONTUB"             "ZMONTUB"            "FUELTUB"           
##  [73] "ZFUELTUB"           "OUTLET"             "ZOUTLET"           
##  [76] "ALTFUELPEV"         "ZALTFUELPEV"        "BACKUP"            
##  [79] "ZBACKUP"            "SOLAR"              "NUMFRIG"           
##  [82] "ZNUMFRIG"           "SIZRFRI1"           "ZSIZRFRI1"         
##  [85] "TYPERFR1"           "ZTYPERFR1"          "AGERFRI1"          
##  [88] "ZAGERFRI1"          "ICE"                "ZICE"              
##  [91] "SIZRFRI2"           "ZSIZRFRI2"          "TYPERFR2"          
##  [94] "ZTYPERFR2"          "AGERFRI2"           "ZAGERFRI2"         
##  [97] "LOCRFRI2"           "ZLOCRFRI2"          "NUMFREEZ"          
## [100] "ZNUMFREEZ"          "UPRTFRZR"           "ZUPRTFRZR"         
## [103] "SIZFREEZ"           "ZSIZFREEZ"          "AGEFRZR"           
## [106] "ZAGEFRZR"           "STOVEN"             "ZSTOVEN"           
## [109] "STOVENFUEL"         "ZSTOVENFUEL"        "DUALCOOKTFUEL"     
## [112] "ZDUALCOOKTFUEL"     "DUALOVENFUEL"       "ZDUALOVENFUEL"     
## [115] "COOKTUSE"           "ZCOOKTUSE"          "OVENUSE"           
## [118] "ZOVENUSE"           "STOVE"              "ZSTOVE"            
## [121] "STOVEFUEL"          "ZSTOVEFUEL"         "SEPCOOKTUSE"       
## [124] "ZSEPCOOKTUSE"       "OVEN"               "ZOVEN"             
## [127] "OVENFUEL"           "ZOVENFUEL"          "SEPOVENUSE"        
## [130] "ZSEPOVENUSE"        "MICRO"              "ZMICRO"            
## [133] "AMTMICRO"           "ZAMTMICRO"          "OUTGRILL"          
## [136] "ZOUTGRILL"          "OUTGRILLFUEL"       "ZOUTGRILLFUEL"     
## [139] "NUMMEAL"            "ZNUMMEAL"           "TOAST"             
## [142] "ZTOAST"             "TOASTOVN"           "ZTOASTOVN"         
## [145] "COFFEE"             "ZCOFFEE"            "CROCKPOT"          
## [148] "ZCROCKPOT"          "FOODPROC"           "ZFOODPROC"         
## [151] "RICECOOK"           "ZRICECOOK"          "BLENDER"           
## [154] "ZBLENDER"           "APPOTHER"           "ZAPPOTHER"         
## [157] "DISHWASH"           "ZDISHWASH"          "DWASHUSE"          
## [160] "ZDWASHUSE"          "DWCYCLE"            "ZDWCYCLE"          
## [163] "AGEDW"              "ZAGEDW"             "CWASHER"           
## [166] "ZCWASHER"           "TOPFRONT"           "ZTOPFRONT"         
## [169] "WASHLOAD"           "ZWASHLOAD"          "WASHTEMP"          
## [172] "ZWASHTEMP"          "RNSETEMP"           "ZRNSETEMP"         
## [175] "AGECWASH"           "ZAGECWASH"          "DRYER"             
## [178] "ZDRYER"             "DRYRFUEL"           "ZDRYRFUEL"         
## [181] "DRYRUSE"            "ZDRYRUSE"           "AGECDRYER"         
## [184] "ZAGECDRYER"         "TVCOLOR"            "ZTVCOLOR"          
## [187] "TVSIZE1"            "ZTVSIZE1"           "TVTYPE1"           
## [190] "ZTVTYPE1"           "TVONWD1"            "ZTVONWD1"          
## [193] "TVONWE1"            "ZTVONWE1"           "TVSIZE2"           
## [196] "ZTVSIZE2"           "TVTYPE2"            "ZTVTYPE2"          
## [199] "TVONWD2"            "ZTVONWD2"           "TVONWE2"           
## [202] "ZTVONWE2"           "CABLESAT"           "ZCABLESAT"         
## [205] "COMBODVR"           "ZCOMBODVR"          "SEPDVR"            
## [208] "ZSEPDVR"            "PLAYSTA"            "ZPLAYSTA"          
## [211] "DVD"                "ZDVD"               "VCR"               
## [214] "ZVCR"               "INTSTREAM"          "ZINTSTREAM"        
## [217] "TVAUDIOSYS"         "ZTVAUDIOSYS"        "DESKTOP"           
## [220] "ZDESKTOP"           "NUMLAPTOP"          "ZNUMLAPTOP"        
## [223] "NUMTABLET"          "ZNUMTABLET"         "ELPERIPH"          
## [226] "ZELPERIPH"          "NUMSMPHONE"         "ZNUMSMPHONE"       
## [229] "CELLPHONE"          "ZCELLPHONE"         "INTERNET"          
## [232] "ZINTERNET"          "INWIRELESS"         "ZINWIRELESS"       
## [235] "HEATHOME"           "ZHEATHOME"          "DNTHEAT"           
## [238] "ZDNTHEAT"           "EQUIPM"             "ZEQUIPM"           
## [241] "FUELHEAT"           "ZFUELHEAT"          "EQUIPAGE"          
## [244] "ZEQUIPAGE"          "THERMAIN"           "ZTHERMAIN"         
## [247] "PROTHERM"           "ZPROTHERM"          "EQUIPMUSE"         
## [250] "ZEQUIPMUSE"         "TEMPHOME"           "ZTEMPHOME"         
## [253] "TEMPGONE"           "ZTEMPGONE"          "TEMPNITE"          
## [256] "ZTEMPNITE"          "EQUIPAUX"           "ZEQUIPAUX"         
## [259] "EQUIPAUXTYPE"       "ZEQUIPAUXTYPE"      "FUELAUX"           
## [262] "ZFUELAUX"           "BASEHEAT"           "ZBASEHEAT"         
## [265] "ATTCHEAT"           "ZATTCHEAT"          "GARGHEAT"          
## [268] "ZGARGHEAT"          "MOISTURE"           "ZMOISTURE"         
## [271] "USEMOISTURE"        "ZUSEMOISTURE"       "AIRCOND"           
## [274] "ZAIRCOND"           "COOLTYPE"           "ZCOOLTYPE"         
## [277] "CENACHP"            "ZCENACHP"           "AGECENAC"          
## [280] "ZAGECENAC"          "THERMAINAC"         "ZTHERMAINAC"       
## [283] "PROTHERMAC"         "ZPROTHERMAC"        "USECENAC"          
## [286] "ZUSECENAC"          "NUMBERAC"           "ZNUMBERAC"         
## [289] "WWACAGE"            "ZWWACAGE"           "USEWWAC"           
## [292] "ZUSEWWAC"           "TEMPHOMEAC"         "ZTEMPHOMEAC"       
## [295] "TEMPGONEAC"         "ZTEMPGONEAC"        "TEMPNITEAC"        
## [298] "ZTEMPNITEAC"        "BASECOOL"           "ZBASECOOL"         
## [301] "ATTCCOOL"           "ZATTCCOOL"          "GARGCOOL"          
## [304] "ZGARGCOOL"          "SWAMPCOL"           "ZSWAMPCOL"         
## [307] "NUMCFAN"            "ZNUMCFAN"           "NUMFLOORFAN"       
## [310] "ZNUMFLOORFAN"       "NUMWHOLEFAN"        "ZNUMWHOLEFAN"      
## [313] "NUMATTICFAN"        "ZNUMATTICFAN"       "NOTMOIST"          
## [316] "ZNOTMOIST"          "USENOTMOIST"        "ZUSENOTMOIST"      
## [319] "FUELH2O"            "ZFUELH2O"           "H2OHEATAPT"        
## [322] "ZH2OHEATAPT"        "WHEATAGE"           "ZWHEATAGE"         
## [325] "WHEATSIZ"           "ZWHEATSIZ"          "MORETHAN1H2O"      
## [328] "ZMORETHAN1H2O"      "FUELH2O2"           "ZFUELH2O2"         
## [331] "LGTINNUM"           "ZLGTINNUM"          "LGTIN4"            
## [334] "ZLGTIN4"            "LGTINCAN"           "ZLGTINCAN"         
## [337] "LGTINCFL"           "ZLGTINCFL"          "LGTINLED"          
## [340] "ZLGTINLED"          "LGTINCNTL"          "ZLGTINCNTL"        
## [343] "LGTOUTNUM"          "ZLGTOUTNUM"         "LGTOUTCNTL"        
## [346] "ZLGTOUTCNTL"        "AUDIT"              "AUDITCHG"          
## [349] "EELIGHTS"           "FREEAUDIT"          "REBATEAPP"         
## [352] "RECYCAPP"           "TAXCREDITAPP"       "BENOTHER"          
## [355] "ESCWASH"            "ESDISHW"            "ESDRYER"           
## [358] "ESFREEZE"           "ESFRIG"             "ESLIGHT"           
## [361] "ESWATER"            "ESWIN"              "SMARTTHERM"        
## [364] "ELPAY"              "ZELPAY"             "NGPAY"             
## [367] "ZNGPAY"             "LPGPAY"             "ZLPGPAY"           
## [370] "FOPAY"              "ZFOPAY"             "SMARTMETER"        
## [373] "INTDATA"            "INTDATAACC"         "HHSEX"             
## [376] "ZHHSEX"             "HHAGE"              "ZHHAGE"            
## [379] "EMPLOYHH"           "ZEMPLOYHH"          "SDESCENT"          
## [382] "ZSDESCENT"          "HOUSEHOLDER_RACE"   "ZHOUSEHOLDER_RACE" 
## [385] "EDUCATION"          "ZEDUCATION"         "NHSLDMEM"          
## [388] "ZNHSLDMEM"          "NUMADULT"           "ZNUMADULT"         
## [391] "NUMCHILD"           "ZNUMCHILD"          "ATHOME"            
## [394] "ZATHOME"            "MONEYPY"            "ZMONEYPY"          
## [397] "ENERGYASST"         "ZENERGYASST"        "ENERGYASST11"      
## [400] "ZENERGYASST11"      "ENERGYASST12"       "ZENERGYASST12"     
## [403] "ENERGYASST13"       "ZENERGYASST13"      "ENERGYASST14"      
## [406] "ZENERGYASST14"      "ENERGYASST15"       "ZENERGYASST15"     
## [409] "ENERGYASSTOTH"      "ZENERGYASSTOTH"     "SCALEB"            
## [412] "ZSCALEB"            "SCALEG"             "ZSCALEG"           
## [415] "SCALEE"             "ZSCALEE"            "PAYHELP"           
## [418] "ZPAYHELP"           "NOHEATBROKE"        "ZNOHEATBROKE"      
## [421] "NOHEATEL"           "ZNOHEATEL"          "NOHEATNG"          
## [424] "ZNOHEATNG"          "NOHEATBULK"         "ZNOHEATBULK"       
## [427] "NOHEATDAYS"         "ZNOHEATDAYS"        "NOHEATHELP"        
## [430] "ZNOHEATHELP"        "COLDMA"             "ZCOLDMA"           
## [433] "NOACBROKE"          "ZNOACBROKE"         "NOACEL"            
## [436] "ZNOACEL"            "NOACDAYS"           "ZNOACDAYS"         
## [439] "NOACHELP"           "ZNOACHELP"          "HOTMA"             
## [442] "ZHOTMA"             "USEEL"              "ELWARM"            
## [445] "ELCOOL"             "ELWATER"            "ELFOOD"            
## [448] "ELOTHER"            "USENG"              "UGWARM"            
## [451] "UGWATER"            "UGCOOK"             "UGOTH"             
## [454] "USELP"              "LPWARM"             "LPWATER"           
## [457] "LPCOOK"             "LPOTHER"            "USEFO"             
## [460] "FOWARM"             "FOWATER"            "FOOTHER"           
## [463] "USEWOOD"            "WOODLOGS"           "ZWOODLOGS"         
## [466] "WDPELLET"           "ZWDPELLET"          "WDOTHER"           
## [469] "WDWARM"             "WDWATER"            "USESOLAR"          
## [472] "SOLWATER"           "SOLOTHER"           "TOTCSQFT"          
## [475] "TOTHSQFT"           "TOTSQFT_EN"         "ZTOTSQFT_EN"       
## [478] "TOTUCSQFT"          "TOTUSQFT"           "NWEIGHT"           
## [481] "BRRWT1"             "BRRWT2"             "BRRWT3"            
## [484] "BRRWT4"             "BRRWT5"             "BRRWT6"            
## [487] "BRRWT7"             "BRRWT8"             "BRRWT9"            
## [490] "BRRWT10"            "BRRWT11"            "BRRWT12"           
## [493] "BRRWT13"            "BRRWT14"            "BRRWT15"           
## [496] "BRRWT16"            "BRRWT17"            "BRRWT18"           
## [499] "BRRWT19"            "BRRWT20"            "BRRWT21"           
## [502] "BRRWT22"            "BRRWT23"            "BRRWT24"           
## [505] "BRRWT25"            "BRRWT26"            "BRRWT27"           
## [508] "BRRWT28"            "BRRWT29"            "BRRWT30"           
## [511] "BRRWT31"            "BRRWT32"            "BRRWT33"           
## [514] "BRRWT34"            "BRRWT35"            "BRRWT36"           
## [517] "BRRWT37"            "BRRWT38"            "BRRWT39"           
## [520] "BRRWT40"            "BRRWT41"            "BRRWT42"           
## [523] "BRRWT43"            "BRRWT44"            "BRRWT45"           
## [526] "BRRWT46"            "BRRWT47"            "BRRWT48"           
## [529] "BRRWT49"            "BRRWT50"            "BRRWT51"           
## [532] "BRRWT52"            "BRRWT53"            "BRRWT54"           
## [535] "BRRWT55"            "BRRWT56"            "BRRWT57"           
## [538] "BRRWT58"            "BRRWT59"            "BRRWT60"           
## [541] "BRRWT61"            "BRRWT62"            "BRRWT63"           
## [544] "BRRWT64"            "BRRWT65"            "BRRWT66"           
## [547] "BRRWT67"            "BRRWT68"            "BRRWT69"           
## [550] "BRRWT70"            "BRRWT71"            "BRRWT72"           
## [553] "BRRWT73"            "BRRWT74"            "BRRWT75"           
## [556] "BRRWT76"            "BRRWT77"            "BRRWT78"           
## [559] "BRRWT79"            "BRRWT80"            "BRRWT81"           
## [562] "BRRWT82"            "BRRWT83"            "BRRWT84"           
## [565] "BRRWT85"            "BRRWT86"            "BRRWT87"           
## [568] "BRRWT88"            "BRRWT89"            "BRRWT90"           
## [571] "BRRWT91"            "BRRWT92"            "BRRWT93"           
## [574] "BRRWT94"            "BRRWT95"            "BRRWT96"           
## [577] "CDD30YR"            "CDD65"              "CDD80"             
## [580] "CLIMATE_REGION_PUB" "IECC_CLIMATE_PUB"   "HDD30YR"           
## [583] "HDD65"              "HDD50"              "GNDHDD65"          
## [586] "WSF"                "OA_LAT"             "GWT"               
## [589] "DBT1"               "DBT99"              "KWH"               
## [592] "KWHSPH"             "KWHCOL"             "KWHWTH"            
## [595] "KWHRFG"             "KWHRFG1"            "KWHRFG2"           
## [598] "KWHFRZ"             "KWHCOK"             "KWHMICRO"          
## [601] "KWHCW"              "KWHCDR"             "KWHDWH"            
## [604] "KWHLGT"             "KWHTVREL"           "KWHTV1"            
## [607] "KWHTV2"             "KWHAHUHEAT"         "KWHAHUCOL"         
## [610] "KWHEVAPCOL"         "KWHCFAN"            "KWHDHUM"           
## [613] "KWHHUM"             "KWHPLPMP"           "KWHHTBPMP"         
## [616] "KWHHTBHEAT"         "KWHNEC"             "BTUEL"             
## [619] "BTUELSPH"           "BTUELCOL"           "BTUELWTH"          
## [622] "BTUELRFG"           "BTUELRFG1"          "BTUELRFG2"         
## [625] "BTUELFRZ"           "BTUELCOK"           "BTUELMICRO"        
## [628] "BTUELCW"            "BTUELCDR"           "BTUELDWH"          
## [631] "BTUELLGT"           "BTUELTVREL"         "BTUELTV1"          
## [634] "BTUELTV2"           "BTUELAHUHEAT"       "BTUELAHUCOL"       
## [637] "BTUELEVAPCOL"       "BTUELCFAN"          "BTUELDHUM"         
## [640] "BTUELHUM"           "BTUELPLPMP"         "BTUELHTBPMP"       
## [643] "BTUELHTBHEAT"       "BTUELNEC"           "DOLLAREL"          
## [646] "DOLELSPH"           "DOLELCOL"           "DOLELWTH"          
## [649] "DOLELRFG"           "DOLELRFG1"          "DOLELRFG2"         
## [652] "DOLELFRZ"           "DOLELCOK"           "DOLELMICRO"        
## [655] "DOLELCW"            "DOLELCDR"           "DOLELDWH"          
## [658] "DOLELLGT"           "DOLELTVREL"         "DOLELTV1"          
## [661] "DOLELTV2"           "DOLELAHUHEAT"       "DOLELAHUCOL"       
## [664] "DOLELEVAPCOL"       "DOLELCFAN"          "DOLELDHUM"         
## [667] "DOLELHUM"           "DOLELPLPMP"         "DOLELHTBPMP"       
## [670] "DOLELHTBHEAT"       "DOLELNEC"           "CUFEETNG"          
## [673] "CUFEETNGSPH"        "CUFEETNGWTH"        "CUFEETNGCOK"       
## [676] "CUFEETNGCDR"        "CUFEETNGPLHEAT"     "CUFEETNGHTBHEAT"   
## [679] "CUFEETNGNEC"        "BTUNG"              "BTUNGSPH"          
## [682] "BTUNGWTH"           "BTUNGCOK"           "BTUNGCDR"          
## [685] "BTUNGPLHEAT"        "BTUNGHTBHEAT"       "BTUNGNEC"          
## [688] "DOLLARNG"           "DOLNGSPH"           "DOLNGWTH"          
## [691] "DOLNGCOK"           "DOLNGCDR"           "DOLNGPLHEAT"       
## [694] "DOLNGHTBHEAT"       "DOLNGNEC"           "GALLONLP"          
## [697] "GALLONLPSPH"        "GALLONLPWTH"        "GALLONLPCOK"       
## [700] "GALLONLPCDR"        "GALLONLPNEC"        "BTULP"             
## [703] "BTULPSPH"           "BTULPWTH"           "BTULPCOK"          
## [706] "BTULPCDR"           "BTULPNEC"           "DOLLARLP"          
## [709] "DOLLPSPH"           "DOLLPWTH"           "DOLLPCOK"          
## [712] "DOLLPCDR"           "DOLLPNEC"           "GALLONFO"          
## [715] "GALLONFOSPH"        "GALLONFOWTH"        "GALLONFONEC"       
## [718] "BTUFO"              "BTUFOSPH"           "BTUFOWTH"          
## [721] "BTUFONEC"           "DOLLARFO"           "DOLFOSPH"          
## [724] "DOLFOWTH"           "DOLFONEC"           "TOTALBTU"          
## [727] "TOTALDOL"           "TOTALBTUSPH"        "TOTALDOLSPH"       
## [730] "TOTALBTUWTH"        "TOTALDOLWTH"        "TOTALBTUCOK"       
## [733] "TOTALDOLCOK"        "TOTALBTUCDR"        "TOTALDOLCDR"       
## [736] "TOTALBTUPL"         "TOTALDOLPL"         "TOTALBTUHTB"       
## [739] "TOTALDOLHTB"        "TOTALBTUNEC"        "TOTALDOLNEC"       
## [742] "WOODAMT"            "ZWOODAMT"           "WOODBTU"           
## [745] "PELLETAMT"          "ZPELLETAMT"         "PELLETBTU"         
## [748] "ELXBTU"             "PERIODEL"           "ZELAMOUNT"         
## [751] "NGXBTU"             "PERIODNG"           "ZNGAMOUNT"         
## [754] "FOXBTU"             "PERIODFO"           "ZFOAMOUNT"         
## [757] "LPXBTU"             "PERIODLP"           "ZLPAMOUNT"
colnames(energy)=tolower(colnames(energy)) #changing columns from capital letters to lowercase as easier to work with
kwh_tot <- ggplot(energy, aes(x=kwh, fill=as.factor(regionc), alpha=0.5))+geom_density() #total amount of electricity used by houses at each region in kwh
kwh_tot

ggplot(energy, aes(x = kwh, fill=as.factor(atticfin), alpha=0.5))+geom_density()+
  scale_fill_discrete(name="Finished attic present",
                      breaks=c("-2","0","1"),
                      labels=c("Not Applicable", "No", "Yes"))#graph shows houses with an attic use more electricity which makes sense as it is another room in the house requiring heat, light and other electrically intense appliances 

ggplot(energy, aes(x = kwh, fill=as.factor(division), alpha=0.5))+geom_density()+
  scale_fill_discrete(name="Division",
                      breaks=c("1","2","3","4","5","6","7","8","9","10"),
                      labels=c("New England", "Middle Atlantic", "East North Central", "West North Central", "South Atlantic", "East South Central", "West South Central", "Mountain North", "Mountain South", "Pacific"),) #shows kwh usage for each area division, indicates East is a comparatively large electricity user

ggplot(energy, aes(x = kwh, fill=as.factor(typeglass), alpha=0.5))+geom_density()+
  scale_fill_discrete(name="type of glass in window",
                      breaks=c("1","2","3"),
                      labels=c("Single-paned", "Double-paned", "Triple-paned")) #shows triple-paned glass had the highest electricity usage ehich is strange as it is the best heat insulator, could be to do with higher wealth to afford the windows so ability to buy other electrically intensive appliances

ggplot(energy, aes(y=kwh, x=sizeofgarage))+geom_point()+geom_smooth(method="lm") #shows a slight upwards slope which tells us houses with larger garages use more electricity, most likely due to lighting and electrical appliances, as well as general wealth associated with larger garages meaning higher likelihood of more electronics
## `geom_smooth()` using formula = 'y ~ x'

Bootstrapping

Testing means between groups

t.test(kwh ~ outgrill, data = energy)
## 
##  Welch Two Sample t-test
## 
## data:  kwh by outgrill
## t = -22.965, df = 5362.1, p-value < 2.2e-16
## alternative hypothesis: true difference in means between group 0 and group 1 is not equal to 0
## 95 percent confidence interval:
##  -4372.503 -3684.713
## sample estimates:
## mean in group 0 mean in group 1 
##         8552.68        12581.29
og.t.test <- t.test(kwh ~ outgrill, data = energy)
names(og.t.test)
##  [1] "statistic"   "parameter"   "p.value"     "conf.int"    "estimate"   
##  [6] "null.value"  "stderr"      "alternative" "method"      "data.name"
og.t.test$p.value #p-value
## [1] 2.101207e-111
og.t.test$estimate #group means
## mean in group 0 mean in group 1 
##         8552.68        12581.29
og.t.test$conf.int #our study shows a confidence interval of [-4372.503, -3684.713]
## [1] -4372.503 -3684.713
## attr(,"conf.level")
## [1] 0.95
get_resample_mean <- function(energy, paired = FALSE) {
  if (paired) {
    diff <- energy$kwh - energy$outgrill
    boot_sample <- sample(diff, length(diff), replace = TRUE)
    mean_og<- mean(boot_sample)
  } else {
    outgrill <- sample(energy$outgrill, nrow(energy), replace = TRUE)
    kwh <- sample(energy$kwh, nrow(energy), replace = TRUE)
    mean_og <- mean(kwh) - mean(outgrill)
  }
  return(mean_og)
} #creating a function to get our sample mean of kwh used 
get_bootstrap_mean <- function(energy, N = 1000, paired = FALSE) {
  for (i in 1:N) {
    if (i == 1) {
      boot_means <- get_resample_mean(energy, paired)
    } else {
      boot_means <- c(boot_means, get_resample_mean(energy))
    }
  }
  return(boot_means)
} #using our previous function to get a bootstrap mean function
get_bootstrap_mean(energy, 10)
##  [1] 11151.58 11079.05 11096.34 10907.59 11105.72 10973.03 10991.82 11012.85
##  [9] 10904.84 10841.27
get_resample_mean(energy, paired = TRUE)
## [1] 11236.15
unpaired_means <- get_bootstrap_mean(energy, N = 1000, paired = FALSE) #unpaired data 
ci_unpaired <- quantile(unpaired_means,c(0.025, 0.975))
ci_unpaired
##     2.5%    97.5% 
## 10844.11 11228.10
ggplot() + geom_histogram(aes(unpaired_means)) + 
  geom_vline(data = data.frame(CI=ci_unpaired),
                               aes(xintercept=CI), color = "blue", linetype = "dashed")
## `stat_bin()` using `bins = 30`. Pick better value with `binwidth`.

Using our get_bootstrap_mean function we made, we were able to find and plot our unpaired data at a 95% confidence level with N=1000. This confidence interval tells us that our mean kwh data has a 95% chance of being between 10,849.16 and 11,220.55 when paired with the outgrill data. ## Linear regressions

Reporting on the regression

statistical signifigance

gwt.lm=lm(kwh~gwt, energy) #running the regression
summary(gwt.lm)
## 
## Call:
## lm(formula = kwh ~ gwt, data = energy)
## 
## Residuals:
##    Min     1Q Median     3Q    Max 
## -13338  -4946  -1332   3444  50395 
## 
## Coefficients:
##             Estimate Std. Error t value Pr(>|t|)    
## (Intercept) 3092.732    558.617   5.536 3.23e-08 ***
## gwt          138.155      9.592  14.403  < 2e-16 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 6925 on 5684 degrees of freedom
## Multiple R-squared:  0.03521,    Adjusted R-squared:  0.03504 
## F-statistic: 207.4 on 1 and 5684 DF,  p-value: < 2.2e-16
gwt.lm$coefs
## NULL
attributes(gwt.lm)
## $names
##  [1] "coefficients"  "residuals"     "effects"       "rank"         
##  [5] "fitted.values" "assign"        "qr"            "df.residual"  
##  [9] "xlevels"       "call"          "terms"         "model"        
## 
## $class
## [1] "lm"
gwt.lm.coef <- round(summary(gwt.lm)$coef, 3) #getting the coefficient table
class(gwt.lm.coef)
## [1] "matrix" "array"
attributes(gwt.lm.coef)
## $dim
## [1] 2 4
## 
## $dimnames
## $dimnames[[1]]
## [1] "(Intercept)" "gwt"        
## 
## $dimnames[[2]]
## [1] "Estimate"   "Std. Error" "t value"    "Pr(>|t|)"
gwt.lm.coef["gwt", "Pr(>|t|)"] #gives p-value of intercept on gwt
## [1] 0
gwt.rsq = round(summary(gwt.lm)$r.squared, 3)
round(coef(gwt.lm)["gwt"],3)
##     gwt 
## 138.155

practical signifigance

energy %>% group_by(regionc) %>% summarise(avg_gwt=mean(gwt), avg_kwh=mean(kwh)) #Shows how the ground water temperature varies with region (Region 1: Northeast, 2: Midwest, 3:South, 4:West). Large variation
## # A tibble: 4 × 3
##   regionc avg_gwt avg_kwh
##     <int>   <dbl>   <dbl>
## 1       1    48.6   8806.
## 2       2    49.5   9797.
## 3       3    65.3  14381.
## 4       4    58.6   8883.

Plotting the lm() object

ggplot(energy, aes(y=kwh, x=gwt))+geom_point()+geom_smooth(method="lm") #plotting the graph with method=lm
## `geom_smooth()` using formula = 'y ~ x'

Using lm() on categorical data

lm(kwh~as.factor(dryrfuel), energy) #using as.factor to treat our categorical data as a factor
## 
## Call:
## lm(formula = kwh ~ as.factor(dryrfuel), data = energy)
## 
## Coefficients:
##          (Intercept)  as.factor(dryrfuel)1  as.factor(dryrfuel)2  
##                 5998                  2893                  5651  
## as.factor(dryrfuel)5  
##                 6762
lm(kwh~as.factor(walltype), energy)
## 
## Call:
## lm(formula = kwh ~ as.factor(walltype), data = energy)
## 
## Coefficients:
##          (Intercept)  as.factor(walltype)2  as.factor(walltype)3  
##              11403.9                -465.9                 202.5  
## as.factor(walltype)4  as.factor(walltype)5  as.factor(walltype)6  
##              -2119.3               -1279.5                2794.1  
## as.factor(walltype)7  as.factor(walltype)9  
##               -864.5                -667.3

Visualising the regression

ggplot(energy, aes(y=kwh, x = as.factor(dryrfuel)))+geom_point()+geom_smooth(method="lm")
## `geom_smooth()` using formula = 'y ~ x'

ggplot(energy, aes(y=kwh, x = as.factor(walltype)))+geom_point()+geom_smooth(method="lm")
## `geom_smooth()` using formula = 'y ~ x'

Summary of results

Using our get_bootstrap_mean function we made, we were able to find and plot our unpaired data at a 95% confidence level with N=1000. This confidence interval tells us that our mean kwh data has a 95% chance of being between 10,849.16 and 11,220.55 when paired with the out-grill data. In 2015, a unit increase in ground water temperature is associated with 138.155 kWh increase in annual electricity usage. At a 99% significance level, this effect is statistically different from 0. The R^2 value of 0.035 tells us that the increase in groundwater temperature alone does not explain the variation in electricity consumption for 2015. This could warrant further research to find out what else is contributing to variation in electricity consumption. A 138.55 effect corresponds to a 2,308.243 kWh average difference in a house in the southern (highest) and north-eastern (lowest). On average a house in the south consumed over 14,000 kWh of electricity while the north consumed 9,000 kWh of electricity. This shows major variation between different parts of the country with the south consuming the most electricity by far and the north consuming the least. When we look at our confidence interval, our high end suggests an average consumption of 11,220.55 kWh over the entire area. When compared with the over 14,000 kWh in the south we see that the average in the south lies outside of 95% of houses. This could be due to large, typically un-affordable, wealthy houses with out grills or due to farms which require large plots of land and a high amount of electricity for maintenance and equipment such as machinery that are likely to own an out-grill to cook products they grow.

Project Work

Data description

df.Ph <- read.csv("water_Phillipines.csv")
access_ph <- as_tibble(df.Ph)
access_ph <- na.omit(access_ph) #removing rows with NA observations
str(access_ph)
## tibble [436 × 64] (S3: tbl_df/tbl/data.frame)
##  $ Access.to.improved.drinking.water                  : num [1:436] 97 97.2 97.4 97.6 97.8 ...
##  $ Access.to.basic.drinking.water                     : num [1:436] 91.6 91.8 92.1 92.3 92.5 ...
##  $ Access.to.limited.drinking.water                   : num [1:436] 5.39 5.37 5.34 5.32 5.3 5.26 5.23 5.19 5.16 5.12 ...
##  $ Access.to.unimproved.drinking.water                : num [1:436] 2.7 2.51 2.32 2.14 1.96 1.78 1.61 1.44 1.28 1.11 ...
##  $ No.access.to.drinking.water                        : num [1:436] 0.31 0.29 0.27 0.25 0.23 0.21 0.19 0.17 0.16 0.14 ...
##  $ Access.to.safely.managed.drinking.water            : num [1:436] 73.7 74.2 74.6 75.1 75.5 ...
##  $ Number.with.access.to.improved.drinking.water      : num [1:436] 33140777 33761082 34420698 35120525 35860866 ...
##  $ Number.with.access.to.basic.drinking.water         : num [1:436] 31300104 31897736 32532626 33205737 33917327 ...
##  $ Number.with.access.to.limited.drinking.water       : int [1:436] 1840673 1863346 1888072 1914788 1943539 1968254 1994333 2021381 2049084 2077308 ...
##  $ Number.with.access.to.unimproved.drinking.water    : int [1:436] 921524 870375 819450 768514 717412 665915 613787 560779 506717 451496 ...
##  $ Number.with.no.access.to.drinking.water            : int [1:436] 104676 99148 93735 88410 83160 77962 72794 67628 62450 57248 ...
##  $ Number.with.access.to.safely.managed.drinking.water: num [1:436] 25188141 25764143 26368860 27003525 27668358 ...
##  $ Rural.access                                       : num [1:436] 94.2 94.5 94.9 95.2 95.6 ...
##  $ Rural.access.1                                     : num [1:436] 85.7 86 86.3 86.7 87 ...
##  $ Rural.access.2                                     : num [1:436] 8.47 8.5 8.53 8.56 8.6 8.62 8.64 8.66 8.69 8.71 ...
##  $ Rural.access.3                                     : num [1:436] 5.12 4.8 4.48 4.17 3.85 3.53 3.21 2.9 2.58 2.26 ...
##  $ Rural.access.4                                     : num [1:436] 0.72 0.68 0.63 0.59 0.55 0.51 0.47 0.42 0.38 0.34 ...
##  $ Rural.access.5                                     : num [1:436] 58.4 59.3 60.2 61.1 62.1 ...
##  $ Rural.access..number.of.people.                    : int [1:436] 11148725 11129974 11121924 11122704 11132965 11151420 11176753 11206180 11238522 11272581 ...
##  $ Rural.access..number.of.people..1                  : int [1:436] 10146330 10129265 10121938 10122648 10131987 10149906 10174089 10202004 10232580 10264726 ...
##  $ Rural.access..number.of.people..2                  : int [1:436] 1002395 1000709 999986 1000056 1000978 1001515 1002664 1004175 1005942 1007855 ...
##  $ Rural.access..number.of.people..3                  : int [1:436] 605919 565256 525532 486548 448232 410438 373033 335863 298853 261945 ...
##  $ Rural.access..number.of.people..4                  : int [1:436] 84897 79487 74207 69028 63942 58928 53969 49042 44138 39248 ...
##  $ Rural.access..number.of.people..5                  : int [1:436] 6907980 6979491 7057511 7141081 7230820 7326095 7426216 7529467 7635137 7742470 ...
##  $ Urban.access                                       : num [1:436] 98.5 98.6 98.7 98.8 98.8 ...
##  $ Urban.access.1                                     : num [1:436] 94.7 94.8 94.9 95 95.1 ...
##  $ Urban.access.2                                     : num [1:436] 3.75 3.76 3.76 3.76 3.77 3.75 3.74 3.72 3.71 3.69 ...
##  $ Urban.access.3                                     : num [1:436] 1.41 1.33 1.24 1.16 1.08 0.99 0.91 0.82 0.74 0.65 ...
##  $ Urban.access.4                                     : num [1:436] 0.09 0.09 0.08 0.08 0.08 0.07 0.07 0.07 0.07 0.06 ...
##  $ Urban.access.5                                     : num [1:436] 81.9 81.8 81.8 81.7 81.7 ...
##  $ Urban.access..number.of.people.                    : int [1:436] 21992052 22631107 23298773 23997821 24727900 25488601 26276803 27089101 27920331 28770073 ...
##  $ Urban.access..number.of.people..1                  : int [1:436] 21153774 21768471 22410687 23083089 23785340 24521861 25285133 26071895 26877189 27700620 ...
##  $ Urban.access..number.of.people..2                  : int [1:436] 838278 862637 888086 914732 942561 966740 991669 1017206 1043143 1069453 ...
##  $ Urban.access..number.of.people..3                  : int [1:436] 315605 305118 293919 281967 269180 255478 240755 224917 207865 189552 ...
##  $ Urban.access..number.of.people..4                  : int [1:436] 19779 19661 19529 19382 19218 19034 18825 18586 18312 18000 ...
##  $ Urban.access..number.of.people..5                  : int [1:436] 18280160 18784652 19311349 19862445 20437538 21036181 21655693 22041555 22373173 22698870 ...
##  $ Entity                                             : chr [1:436] "Algeria" "Algeria" "Algeria" "Algeria" ...
##  $ Year                                               : int [1:436] 2007 2008 2009 2010 2011 2012 2013 2014 2015 2016 ...
##  $ wat_bas_minus_sm                                   : num [1:436] 17.9 17.7 17.4 17.2 17.1 ...
##  $ wat_bas_minus_sm_number                            : int [1:436] 6111963 6133593 6163765 6202212 6248969 6309491 6377313 6702878 7101459 7524006 ...
##  $ san_bas_minus_sm                                   : num [1:436] 65.9 66.3 66.7 67.1 67.5 ...
##  $ san_bas_minus_sm_number                            : int [1:436] 22531279 23043034 23582933 24152146 24750925 25289508 25848600 26423927 27010839 27608208 ...
##  $ wat_bas_minus_sm_rural                             : num [1:436] 27.4 26.8 26.1 25.5 24.9 ...
##  $ wat_bas_minus_sm_number_rural                      : int [1:436] 3238349 3149774 3064427 2981567 2901167 2823810 2747872 2672538 2597443 2522256 ...
##  $ san_bas_minus_sm_rural                             : num [1:436] 52.2 52.6 53 53.5 53.9 ...
##  $ san_bas_minus_sm_number_rural                      : int [1:436] 6179167 6195167 6216860 6243274 6274840 6301311 6331463 6363744 6397502 6432066 ...
##  $ wat_bas_minus_sm_urban                             : num [1:436] 12.9 13 13.1 13.2 13.4 ...
##  $ wat_bas_minus_sm_number_urban                      : int [1:436] 2873614 2983819 3099338 3220645 3347802 3485681 3629440 4030340 4504016 5001750 ...
##  $ san_bas_minus_sm_urban                             : num [1:436] 73.2 73.4 73.5 73.7 73.9 ...
##  $ san_bas_minus_sm_number_urban                      : int [1:436] 16352111 16847867 17366073 17908872 18476085 18988197 19517137 20060182 20613337 21176141 ...
##  $ wat_imp_number_without                             : int [1:436] 1026200 969524 913185 856924 800572 743877 686581 628407 569166 508745 ...
##  $ wat_bas_number_without                             : int [1:436] 2866873 2832870 2801257 2771712 2744111 2712131 2680915 2649788 2618251 2586053 ...
##  $ wat_sm_number_without                              : num [1:436] 8978836 8966463 8965022 8973924 8993080 ...
##  $ wat_imp_without                                    : num [1:436] 3 2.79 2.58 2.38 2.18 1.99 1.8 1.61 1.43 1.25 ...
##  $ wat_bas_without                                    : num [1:436] 8.39 8.16 7.93 7.7 7.49 7.25 7.03 6.81 6.59 6.38 ...
##  $ wat_sm_without                                     : num [1:436] 26.3 25.8 25.4 24.9 24.5 ...
##  $ san_imp_number_without                             : num [1:436] 2007958 1963488 1921540 1881764 1844105 ...
##  $ san_bas_number_without                             : num [1:436] 4681068 4676975 4678387 4684935 4696608 ...
##  $ san_sm_number_without                              : num [1:436] 27212347 27720009 28261320 28837081 29447533 ...
##  $ san_imp_without                                    : num [1:436] 5.88 5.65 5.44 5.23 5.03 4.84 4.65 4.47 4.3 4.13 ...
##  $ san_bas_without                                    : num [1:436] 13.7 13.5 13.2 13 12.8 ...
##  $ san_sm_without                                     : num [1:436] 79.7 79.8 80 80.2 80.3 ...
##  $ hyg_bas_number_without                             : num [1:436] 5837840 5894013 5956653 6025518 6100708 ...
##  $ hyg_bas_without                                    : num [1:436] 17.1 17 16.9 16.8 16.6 ...
##  - attr(*, "na.action")= 'omit' Named int [1:4682] 1 2 3 4 5 6 7 8 9 10 ...
##   ..- attr(*, "names")= chr [1:4682] "1" "2" "3" "4" ...
class(access_ph$Access.to.basic.drinking.water) #data is numeric
## [1] "numeric"
class(access_ph$Entity) #data is a character
## [1] "character"
grouped_eth = access_ph %>% group_by(Year, Entity) %>% summarise(total_access = mean(Access.to.basic.drinking.water))
## `summarise()` has grouped output by 'Year'. You can override using the
## `.groups` argument.
view(grouped_eth)
no_wat_eth = access_ph %>% group_by(Entity, Year) %>% summarise(num_no_access = sum(Number.with.no.access.to.drinking.water))
## `summarise()` has grouped output by 'Entity'. You can override using the
## `.groups` argument.
view(no_wat_eth)
rural_access <- access_ph %>% group_by(Year) %>% summarise(rural_acc = mean(Rural.access.1),
                                                          urban_acc = mean(Urban.access.1))
view(rural_access)
#(a)Data has 436 observations of 64 variables. Ethnicity data is collected at 34 levels and yearly data is based between 2000 and 2020.
#(b)Originally the data had 5118 observations of 64 variables however, using the na.omit function we removed the rows with NA data present which gave us 436 observations of 64 variables.

Plotting relevant data

grouped_eth %>% ggplot(aes(x=Year, y=total_access, group = Entity)) +
  geom_point() + facet_wrap(~Entity) + geom_line()#graph of percent access to basic clean drinking water by ethnicity (entity) from 2000-2020 in the Phillipines

no_wat_eth %>% ggplot(aes(x=Year, y=num_no_access, group = Entity)) +
  geom_point() + facet_wrap(~Entity) + geom_line()#graph of the number of people for different ethnicities that have access to no clean water from 2000-2020

data_ggp <- data.frame(x = rural_access$Year,                            # Reshape data frame
                       y = c(rural_access$rural_acc, rural_access$urban_acc),
                       group = c(rep("rural_acc", nrow(rural_access)),
                                 rep("urban_acc", nrow(rural_access))))
head(data_ggp)
##      x        y     group
## 1 2000 60.82000 rural_acc
## 2 2001 61.13000 rural_acc
## 3 2002 61.44000 rural_acc
## 4 2003 61.75500 rural_acc
## 5 2004 46.98444 rural_acc
## 6 2005 58.41000 rural_acc
ggplot(data_ggp, aes(x, y, col = group)) + labs(x = "Year", y = "Percentage access to basic clean water") + geom_line()

#graph of percentage access of people in the rural vs urban areas with access to basic clean water between 2000 and 2020