library("dplyr")
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library("tidyr")
library("ggplot2")
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library("ROCR")
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library("rpart")
library("rpart.plot")
library("caret")
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## Loading required package: lattice
library("randomForest")
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## randomForest 4.6-14
## Type rfNews() to see new features/changes/bug fixes.
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## Attaching package: 'randomForest'
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library("tidyverse")
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## -- Attaching packages --------------------------------------- tidyverse 1.3.1 --
## v tibble  3.1.2     v stringr 1.4.0
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## v purrr   0.3.4
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library("tm")
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library("SnowballC")
library("softImpute")
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library("glmnet")
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library("Hmisc")
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library("dummies")
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library('tinytex')
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library('GGally')
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##   method from   
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library('ggpubr')
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library('gplots')
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##     lowess
rm(list=ls())
ToyotaCorolla=read.csv("ToyotaCorolla.csv")
drops = c("Id","Model","Fuel_Type","Color","Cylinders")
TCData = ToyotaCorolla[,!colnames(ToyotaCorolla) %in% drops]
cormatrix = suppressWarnings(cor(TCData))
TCData$Boardcomputer = as.factor(TCData$Boardcomputer)
TCData$Powered_Windows = as.factor(TCData$Powered_Windows)
TCData$Central_Lock = as.factor(TCData$Central_Lock)
TCData$Central_Lock = as.factor(TCData$Radio)
TCData$Central_Lock = as.factor(TCData$Radio_cassette)

heatmap(cormatrix, Rowv = NA, Colv = NA)

data.frame(cormatrix)
##                        Price    Age_08_04    Mfg_Month     Mfg_Year
## Price             1.00000000 -0.876590497 -0.018138222  0.885159220
## Age_08_04        -0.87659050  1.000000000 -0.123255398 -0.983661157
## Mfg_Month        -0.01813822 -0.123255398  1.000000000 -0.057415518
## Mfg_Year          0.88515922 -0.983661157 -0.057415518  1.000000000
## KM               -0.56996016  0.505672180 -0.020629897 -0.504974450
## HP                0.31498983 -0.156622020 -0.039312420  0.164696875
## Met_Color         0.10890475 -0.108149585  0.030265828  0.103310169
## Automatic         0.03308069  0.031716772  0.009146095 -0.033566969
## cc                0.12638920 -0.098083739  0.037386567  0.091891919
## Doors             0.18532555 -0.148359215 -0.012068863  0.151441979
## Gears             0.06310386 -0.005363947 -0.013063024  0.007766049
## Quarterly_Tax     0.21919691 -0.198430508  0.031372634  0.193933911
## Weight            0.58119759 -0.470253184 -0.002167494  0.473477930
## Mfr_Guarantee     0.19780199 -0.164658304 -0.005770789  0.166696657
## BOVAG_Guarantee   0.02813304  0.006864920 -0.003862534 -0.006205542
## Guarantee_Period  0.14662661 -0.152562534  0.029009539  0.148218449
## ABS               0.30613784 -0.412887311  0.072532362  0.402215110
## Airbag_1          0.09358787 -0.105405927  0.003756160  0.105359191
## Airbag_2          0.24897390 -0.329017479  0.076749474  0.317075233
## Airco             0.42925943 -0.403600048  0.057088375  0.395673667
## Automatic_airco   0.58826200 -0.426259145 -0.049017448  0.437718185
## Boardcomputer     0.60129196 -0.719448710  0.017714587  0.720567067
## CD_Player         0.48137444 -0.510895187 -0.016735694  0.517007513
## Central_Lock      0.34345757 -0.279630639  0.010055129  0.279490247
## Powered_Windows   0.35651823 -0.283855826  0.025184550  0.280996200
## Power_Steering    0.06427537 -0.069191857 -0.055495374  0.079676069
## Radio            -0.04188735  0.013791402  0.031601498 -0.019607369
## Mistlamps         0.22208252 -0.126894569 -0.033503771  0.133736662
## Sport_Model       0.16412096 -0.110988319  0.052789203  0.102079961
## Backseat_Divider  0.10256915 -0.116751059  0.023245436  0.113237026
## Metallic_Rim      0.10856398 -0.040045378  0.023506472  0.036022122
## Radio_cassette   -0.04317899  0.012857260  0.032576240 -0.018844434
## Tow_Bar          -0.17236860  0.188719528 -0.042169981 -0.182205679
## X                         NA           NA           NA           NA
## X.1                       NA           NA           NA           NA
## X.2                       NA           NA           NA           NA
## X.3                       NA           NA           NA           NA
## X.4                       NA           NA           NA           NA
## X.5                       NA           NA           NA           NA
## X.6                       NA           NA           NA           NA
## X.7                       NA           NA           NA           NA
## X.8                       NA           NA           NA           NA
## X.9                       NA           NA           NA           NA
## X.10                      NA           NA           NA           NA
## X.11                      NA           NA           NA           NA
## X.12                      NA           NA           NA           NA
##                            KM          HP   Met_Color    Automatic
## Price            -0.569960165  0.31498983  0.10890475  0.033080694
## Age_08_04         0.505672180 -0.15662202 -0.10814958  0.031716772
## Mfg_Month        -0.020629897 -0.03931242  0.03026583  0.009146095
## Mfg_Year         -0.504974450  0.16469687  0.10331017 -0.033566969
## KM                1.000000000 -0.33353795 -0.08050293 -0.081854083
## HP               -0.333537948  1.00000000  0.05871170  0.013144031
## Met_Color        -0.080502926  0.05871170  1.00000000 -0.019335450
## Automatic        -0.081854083  0.01314403 -0.01933545  1.000000000
## cc                0.102682891  0.03585580  0.03181207  0.066740309
## Doors            -0.036196614  0.09242450  0.08524283 -0.027653817
## Gears             0.015023328  0.20947715  0.01860065 -0.098555054
## Quarterly_Tax     0.278164697 -0.29843172  0.01132556 -0.055370791
## Weight           -0.028598457  0.08961406  0.05792883  0.057248510
## Mfr_Guarantee    -0.212850802  0.14002631  0.15484999  0.026193798
## BOVAG_Guarantee   0.001437579  0.02270078  0.01078349  0.023393188
## Guarantee_Period -0.138941822  0.07616270  0.00929454 -0.002256229
## ABS              -0.177203384  0.05783181  0.02229751 -0.016128172
## Airbag_1         -0.018012148  0.02513692  0.10005483 -0.011895357
## Airbag_2         -0.139275138  0.01764356  0.03841573  0.001171485
## Airco            -0.133056812  0.24113427  0.11419048 -0.028352763
## Automatic_airco  -0.258221494  0.24495736  0.02797718  0.059056613
## Boardcomputer    -0.353862248  0.12971474  0.08988589 -0.037068561
## CD_Player        -0.266826156  0.10229988  0.19821996 -0.010967021
## Central_Lock     -0.125177013  0.25012219  0.15330715 -0.002501825
## Powered_Windows  -0.156241578  0.26559348  0.14514710 -0.005863832
## Power_Steering    0.007396622  0.04885045  0.08654387 -0.004469112
## Radio             0.013661103  0.02099814  0.07275644 -0.014600244
## Mistlamps        -0.074326655  0.21057126  0.02382135  0.003077421
## Sport_Model      -0.044783876 -0.00602665  0.00377880  0.013175336
## Backseat_Divider -0.045657583  0.01090798  0.03774104 -0.018876271
## Metallic_Rim     -0.013598770  0.20678416  0.05382944 -0.078094651
## Radio_cassette    0.015770423  0.01991920  0.07152968 -0.014149521
## Tow_Bar           0.084153196  0.06827127  0.14853624  0.018785917
## X                          NA          NA          NA           NA
## X.1                        NA          NA          NA           NA
## X.2                        NA          NA          NA           NA
## X.3                        NA          NA          NA           NA
## X.4                        NA          NA          NA           NA
## X.5                        NA          NA          NA           NA
## X.6                        NA          NA          NA           NA
## X.7                        NA          NA          NA           NA
## X.8                        NA          NA          NA           NA
## X.9                        NA          NA          NA           NA
## X.10                       NA          NA          NA           NA
## X.11                       NA          NA          NA           NA
## X.12                       NA          NA          NA           NA
##                             cc        Doors        Gears Quarterly_Tax
## Price             0.1263891974  0.185325550  0.063103857   0.219196911
## Age_08_04        -0.0980837391 -0.148359215 -0.005363947  -0.198430508
## Mfg_Month         0.0373865668 -0.012068863 -0.013063024   0.031372634
## Mfg_Year          0.0918919186  0.151441979  0.007766049   0.193933911
## KM                0.1026828910 -0.036196614  0.015023328   0.278164697
## HP                0.0358558027  0.092424496  0.209477146  -0.298431717
## Met_Color         0.0318120676  0.085242826  0.018600646   0.011325559
## Automatic         0.0667403090 -0.027653817 -0.098555054  -0.055370791
## cc                1.0000000000  0.079903296  0.014629352   0.306995798
## Doors             0.0799032965  1.000000000 -0.160141430   0.109363225
## Gears             0.0146293521 -0.160141430  1.000000000  -0.005451955
## Quarterly_Tax     0.3069957983  0.109363225 -0.005451955   1.000000000
## Weight            0.3356373992  0.302617644  0.020613284   0.626133733
## Mfr_Guarantee    -0.0574065681  0.037689328  0.010822444  -0.022150154
## BOVAG_Guarantee  -0.0817250929 -0.014311384  0.072123611   0.094330856
## Guarantee_Period -0.0176829456  0.053653901 -0.030677543  -0.163438345
## ABS               0.0378055951  0.063732629  0.086234835   0.080287748
## Airbag_1          0.0226780779  0.053827968  0.002443573   0.082340476
## Airbag_2          0.0247384005  0.021733788  0.095209774   0.200172594
## Airco             0.1198880518  0.170543978  0.145489368   0.118225262
## Automatic_airco   0.1626688293  0.054808873  0.077791331   0.123125182
## Boardcomputer     0.0093119139  0.089606069 -0.025889315   0.141534096
## CD_Player         0.0577868309  0.094652527 -0.047466045   0.090868341
## Central_Lock      0.0726344348  0.132091580  0.126963598   0.032084382
## Powered_Windows   0.0552988754  0.107625618  0.131423084   0.003826656
## Power_Steering    0.0329326048  0.059791778  0.021200029   0.047956107
## Radio            -0.0003610891 -0.008318074  0.015090245  -0.031816260
## Mistlamps         0.0173261221  0.064704827  0.238788846   0.024024007
## Sport_Model      -0.0351951669 -0.129880567  0.174117136   0.067525190
## Backseat_Divider -0.0557108268 -0.022541861  0.076705131   0.198418730
## Metallic_Rim      0.0032356199 -0.039554785  0.295077043  -0.011964548
## Radio_cassette   -0.0004695340 -0.008265241  0.015397437  -0.031008861
## Tow_Bar           0.0027246074  0.102291795 -0.029356649  -0.004987518
## X                           NA           NA           NA            NA
## X.1                         NA           NA           NA            NA
## X.2                         NA           NA           NA            NA
## X.3                         NA           NA           NA            NA
## X.4                         NA           NA           NA            NA
## X.5                         NA           NA           NA            NA
## X.6                         NA           NA           NA            NA
## X.7                         NA           NA           NA            NA
## X.8                         NA           NA           NA            NA
## X.9                         NA           NA           NA            NA
## X.10                        NA           NA           NA            NA
## X.11                        NA           NA           NA            NA
## X.12                        NA           NA           NA            NA
##                        Weight Mfr_Guarantee BOVAG_Guarantee Guarantee_Period
## Price             0.581197589   0.197801991     0.028133044      0.146626614
## Age_08_04        -0.470253184  -0.164658304     0.006864920     -0.152562534
## Mfg_Month        -0.002167494  -0.005770789    -0.003862534      0.029009539
## Mfg_Year          0.473477930   0.166696657    -0.006205542      0.148218449
## KM               -0.028598457  -0.212850802     0.001437579     -0.138941822
## HP                0.089614059   0.140026308     0.022700778      0.076162697
## Met_Color         0.057928835   0.154849992     0.010783490      0.009294540
## Automatic         0.057248510   0.026193798     0.023393188     -0.002256229
## cc                0.335637399  -0.057406568    -0.081725093     -0.017682946
## Doors             0.302617644   0.037689328    -0.014311384      0.053653901
## Gears             0.020613284   0.010822444     0.072123611     -0.030677543
## Quarterly_Tax     0.626133733  -0.022150154     0.094330856     -0.163438345
## Weight            1.000000000  -0.008564636    -0.056076982     -0.012913462
## Mfr_Guarantee    -0.008564636   1.000000000     0.233458589     -0.098563061
## BOVAG_Guarantee  -0.056076982   0.233458589     1.000000000     -0.300062902
## Guarantee_Period -0.012913462  -0.098563061    -0.300062902      1.000000000
## ABS               0.102615574   0.118996262     0.134441245     -0.060839975
## Airbag_1          0.030181762   0.052089164     0.224478877     -0.142453113
## Airbag_2          0.078494306   0.202394935     0.287030993     -0.322769418
## Airco             0.310061953   0.051233618     0.005708771      0.026246244
## Automatic_airco   0.430478501   0.072634969    -0.015188469     -0.039162519
## Boardcomputer     0.274324106   0.198185513     0.115804372     -0.056305124
## CD_Player         0.247056066   0.155637001     0.059487871     -0.003948487
## Central_Lock      0.234644220   0.039915427    -0.023008433      0.058934226
## Powered_Windows   0.213356016   0.041550927    -0.012405873      0.040533587
## Power_Steering    0.047848786   0.029771454     0.164391857     -0.118973564
## Radio            -0.038407372  -0.052057575    -0.039074859      0.198885599
## Mistlamps         0.135235745   0.083957782     0.117472133     -0.118021352
## Sport_Model       0.125973890   0.054129415     0.173977808     -0.172873754
## Backseat_Divider  0.036446167   0.256249254     0.457468081     -0.484426852
## Metallic_Rim      0.053846741   0.026727922     0.060434301     -0.044002874
## Radio_cassette   -0.037265380  -0.054532147    -0.039826683      0.193910054
## Tow_Bar          -0.074931667  -0.023328109    -0.006718221      0.008590048
## X                          NA            NA              NA               NA
## X.1                        NA            NA              NA               NA
## X.2                        NA            NA              NA               NA
## X.3                        NA            NA              NA               NA
## X.4                        NA            NA              NA               NA
## X.5                        NA            NA              NA               NA
## X.6                        NA            NA              NA               NA
## X.7                        NA            NA              NA               NA
## X.8                        NA            NA              NA               NA
## X.9                        NA            NA              NA               NA
## X.10                       NA            NA              NA               NA
## X.11                       NA            NA              NA               NA
## X.12                       NA            NA              NA               NA
##                          ABS     Airbag_1     Airbag_2        Airco
## Price             0.30613784  0.093587871  0.248973897  0.429259430
## Age_08_04        -0.41288731 -0.105405927 -0.329017479 -0.403600048
## Mfg_Month         0.07253236  0.003756160  0.076749474  0.057088375
## Mfg_Year          0.40221511  0.105359191  0.317075233  0.395673667
## KM               -0.17720338 -0.018012148 -0.139275138 -0.133056812
## HP                0.05783181  0.025136920  0.017643556  0.241134272
## Met_Color         0.02229751  0.100054833  0.038415730  0.114190482
## Automatic        -0.01612817 -0.011895357  0.001171485 -0.028352763
## cc                0.03780560  0.022678078  0.024738401  0.119888052
## Doors             0.06373263  0.053827968  0.021733788  0.170543978
## Gears             0.08623483  0.002443573  0.095209774  0.145489368
## Quarterly_Tax     0.08028775  0.082340476  0.200172594  0.118225262
## Weight            0.10261557  0.030181762  0.078494306  0.310061953
## Mfr_Guarantee     0.11899626  0.052089164  0.202394935  0.051233618
## BOVAG_Guarantee   0.13444124  0.224478877  0.287030993  0.005708771
## Guarantee_Period -0.06083998 -0.142453113 -0.322769418  0.026246244
## ABS               1.00000000  0.277506541  0.661765511  0.226094835
## Airbag_1          0.27750654  1.000000000  0.280317621  0.093835634
## Airbag_2          0.66176551  0.280317621  1.000000000  0.184626833
## Airco             0.22609484  0.093835634  0.184626833  1.000000000
## Automatic_airco   0.11711670  0.042439096  0.090702625  0.240443910
## Boardcomputer     0.30953619  0.112165351  0.376245473  0.293244206
## CD_Player         0.19286592  0.071828045  0.237238682  0.257386977
## Central_Lock      0.09945414  0.120275681  0.024819190  0.540588387
## Powered_Windows   0.09946502  0.121641091  0.049129417  0.543981749
## Power_Steering    0.25462559  0.561770372  0.212187253  0.096893133
## Radio            -0.05466987 -0.010034594 -0.223663172 -0.030571064
## Mistlamps         0.17943253  0.092618058  0.228843121  0.466750824
## Sport_Model       0.20059603  0.113670786  0.300273543  0.002730262
## Backseat_Divider  0.25665879  0.307947255  0.589987432  0.105148873
## Metallic_Rim      0.07915186  0.057344702  0.075127819  0.233166104
## Radio_cassette   -0.05572408 -0.022116573 -0.220917181 -0.036523590
## Tow_Bar          -0.06597649  0.052311749 -0.063955554 -0.024361999
## X                         NA           NA           NA           NA
## X.1                       NA           NA           NA           NA
## X.2                       NA           NA           NA           NA
## X.3                       NA           NA           NA           NA
## X.4                       NA           NA           NA           NA
## X.5                       NA           NA           NA           NA
## X.6                       NA           NA           NA           NA
## X.7                       NA           NA           NA           NA
## X.8                       NA           NA           NA           NA
## X.9                       NA           NA           NA           NA
## X.10                      NA           NA           NA           NA
## X.11                      NA           NA           NA           NA
## X.12                      NA           NA           NA           NA
##                  Automatic_airco Boardcomputer    CD_Player Central_Lock
## Price                 0.58826200   0.601291957  0.481374438  0.343457572
## Age_08_04            -0.42625915  -0.719448710 -0.510895187 -0.279630639
## Mfg_Month            -0.04901745   0.017714587 -0.016735694  0.010055129
## Mfg_Year              0.43771818   0.720567067  0.517007513  0.279490247
## KM                   -0.25822149  -0.353862248 -0.266826156 -0.125177013
## HP                    0.24495736   0.129714741  0.102299878  0.250122190
## Met_Color             0.02797718   0.089885891  0.198219962  0.153307153
## Automatic             0.05905661  -0.037068561 -0.010967021 -0.002501825
## cc                    0.16266883   0.009311914  0.057786831  0.072634435
## Doors                 0.05480887   0.089606069  0.094652527  0.132091580
## Gears                 0.07779133  -0.025889315 -0.047466045  0.126963598
## Quarterly_Tax         0.12312518   0.141534096  0.090868341  0.032084382
## Weight                0.43047850   0.274324106  0.247056066  0.234644220
## Mfr_Guarantee         0.07263497   0.198185513  0.155637001  0.039915427
## BOVAG_Guarantee      -0.01518847   0.115804372  0.059487871 -0.023008433
## Guarantee_Period     -0.03916252  -0.056305124 -0.003948487  0.058934226
## ABS                   0.11711670   0.309536193  0.192865924  0.099454144
## Airbag_1              0.04243910   0.112165351  0.071828045  0.120275681
## Airbag_2              0.09070263   0.376245473  0.237238682  0.024819190
## Airco                 0.24044391   0.293244206  0.257386977  0.540588387
## Automatic_airco       1.00000000   0.272415221  0.250395774  0.195790059
## Boardcomputer         0.27241522   1.000000000  0.489725163  0.203125940
## CD_Player             0.25039577   0.489725163  1.000000000  0.194075729
## Central_Lock          0.19579006   0.203125940  0.194075729  1.000000000
## Powered_Windows       0.20368691   0.213327478  0.195385975  0.875552474
## Power_Steering        0.03691172   0.087207115  0.068451698  0.129646282
## Radio                -0.09264738  -0.129093606 -0.185567721 -0.011250967
## Mistlamps             0.31214052   0.147900225  0.124589102  0.487425901
## Sport_Model           0.21528735   0.036801852  0.057919508 -0.003127897
## Backseat_Divider      0.01875632   0.287614926  0.148805860  0.058448820
## Metallic_Rim          0.10036278  -0.024998752  0.044730248  0.281333815
## Radio_cassette       -0.09234809  -0.128073275 -0.189668131 -0.016954462
## Tow_Bar              -0.11796686  -0.128001147 -0.079910736 -0.007727796
## X                             NA            NA           NA           NA
## X.1                           NA            NA           NA           NA
## X.2                           NA            NA           NA           NA
## X.3                           NA            NA           NA           NA
## X.4                           NA            NA           NA           NA
## X.5                           NA            NA           NA           NA
## X.6                           NA            NA           NA           NA
## X.7                           NA            NA           NA           NA
## X.8                           NA            NA           NA           NA
## X.9                           NA            NA           NA           NA
## X.10                          NA            NA           NA           NA
## X.11                          NA            NA           NA           NA
## X.12                          NA            NA           NA           NA
##                  Powered_Windows Power_Steering         Radio    Mistlamps
## Price               0.3565182258    0.064275368 -0.0418873522  0.222082519
## Age_08_04          -0.2838558256   -0.069191857  0.0137914024 -0.126894569
## Mfg_Month           0.0251845496   -0.055495374  0.0316014980 -0.033503771
## Mfg_Year            0.2809961995    0.079676069 -0.0196073695  0.133736662
## KM                 -0.1562415784    0.007396622  0.0136611034 -0.074326655
## HP                  0.2655934848    0.048850452  0.0209981381  0.210571265
## Met_Color           0.1451471025    0.086543865  0.0727564442  0.023821349
## Automatic          -0.0058638318   -0.004469112 -0.0146002437  0.003077421
## cc                  0.0552988754    0.032932605 -0.0003610891  0.017326122
## Doors               0.1076256182    0.059791778 -0.0083180738  0.064704827
## Gears               0.1314230843    0.021200029  0.0150902447  0.238788846
## Quarterly_Tax       0.0038266562    0.047956107 -0.0318162601  0.024024007
## Weight              0.2133560160    0.047848786 -0.0384073722  0.135235745
## Mfr_Guarantee       0.0415509270    0.029771454 -0.0520575752  0.083957782
## BOVAG_Guarantee    -0.0124058729    0.164391857 -0.0390748594  0.117472133
## Guarantee_Period    0.0405335874   -0.118973564  0.1988855994 -0.118021352
## ABS                 0.0994650204    0.254625594 -0.0546698668  0.179432532
## Airbag_1            0.1216410915    0.561770372 -0.0100345937  0.092618058
## Airbag_2            0.0491294169    0.212187253 -0.2236631719  0.228843121
## Airco               0.5439817486    0.096893133 -0.0305710644  0.466750824
## Automatic_airco     0.2036869067    0.036911721 -0.0926473776  0.312140517
## Boardcomputer       0.2133274783    0.087207115 -0.1290936057  0.147900225
## CD_Player           0.1953859749    0.068451698 -0.1855677207  0.124589102
## Central_Lock        0.8755524744    0.129646282 -0.0112509667  0.487425901
## Powered_Windows     1.0000000000    0.123457779 -0.0358111799  0.496696773
## Power_Steering      0.1234577794    1.000000000  0.0090747860  0.077984550
## Radio              -0.0358111799    0.009074786  1.0000000000 -0.126118425
## Mistlamps           0.4966967734    0.077984550 -0.1261184253  1.000000000
## Sport_Model        -0.0006504532    0.098866017 -0.1377287584  0.004341734
## Backseat_Divider    0.0782437522    0.265169426 -0.2095898260  0.245463234
## Metallic_Rim        0.2914194137    0.053216558 -0.0341621429  0.412545427
## Radio_cassette     -0.0376255038   -0.004583647  0.9916209827 -0.134245424
## Tow_Bar            -0.0132515099    0.030452502  0.1436522639 -0.069478951
## X                             NA             NA            NA           NA
## X.1                           NA             NA            NA           NA
## X.2                           NA             NA            NA           NA
## X.3                           NA             NA            NA           NA
## X.4                           NA             NA            NA           NA
## X.5                           NA             NA            NA           NA
## X.6                           NA             NA            NA           NA
## X.7                           NA             NA            NA           NA
## X.8                           NA             NA            NA           NA
## X.9                           NA             NA            NA           NA
## X.10                          NA             NA            NA           NA
## X.11                          NA             NA            NA           NA
## X.12                          NA             NA            NA           NA
##                    Sport_Model Backseat_Divider Metallic_Rim Radio_cassette
## Price             0.1641209622       0.10256915   0.10856398   -0.043178988
## Age_08_04        -0.1109883188      -0.11675106  -0.04004538    0.012857260
## Mfg_Month         0.0527892029       0.02324544   0.02350647    0.032576240
## Mfg_Year          0.1020799610       0.11323703   0.03602212   -0.018844434
## KM               -0.0447838761      -0.04565758  -0.01359877    0.015770423
## HP               -0.0060266503       0.01090798   0.20678416    0.019919200
## Met_Color         0.0037788003       0.03774104   0.05382944    0.071529685
## Automatic         0.0131753360      -0.01887627  -0.07809465   -0.014149521
## cc               -0.0351951669      -0.05571083   0.00323562   -0.000469534
## Doors            -0.1298805666      -0.02254186  -0.03955479   -0.008265241
## Gears             0.1741171356       0.07670513   0.29507704    0.015397437
## Quarterly_Tax     0.0675251905       0.19841873  -0.01196455   -0.031008861
## Weight            0.1259738904       0.03644617   0.05384674   -0.037265380
## Mfr_Guarantee     0.0541294147       0.25624925   0.02672792   -0.054532147
## BOVAG_Guarantee   0.1739778084       0.45746808   0.06043430   -0.039826683
## Guarantee_Period -0.1728737542      -0.48442685  -0.04400287    0.193910054
## ABS               0.2005960321       0.25665879   0.07915186   -0.055724076
## Airbag_1          0.1136707859       0.30794725   0.05734470   -0.022116573
## Airbag_2          0.3002735426       0.58998743   0.07512782   -0.220917181
## Airco             0.0027302616       0.10514887   0.23316610   -0.036523590
## Automatic_airco   0.2152873511       0.01875632   0.10036278   -0.092348095
## Boardcomputer     0.0368018520       0.28761493  -0.02499875   -0.128073275
## CD_Player         0.0579195080       0.14880586   0.04473025   -0.189668131
## Central_Lock     -0.0031278972       0.05844882   0.28133382   -0.016954462
## Powered_Windows  -0.0006504532       0.07824375   0.29141941   -0.037625504
## Power_Steering    0.0988660173       0.26516943   0.05321656   -0.004583647
## Radio            -0.1377287584      -0.20958983  -0.03416214    0.991620983
## Mistlamps         0.0043417342       0.24546323   0.41254543   -0.134245424
## Sport_Model       1.0000000000       0.35771324   0.05181012   -0.136708407
## Backseat_Divider  0.3577132365       1.00000000   0.10486232   -0.206389869
## Metallic_Rim      0.0518101200       0.10486232   1.00000000   -0.033227868
## Radio_cassette   -0.1367084065      -0.20638987  -0.03322787    1.000000000
## Tow_Bar          -0.0941471363      -0.04917567  -0.03733099    0.140753310
## X                           NA               NA           NA             NA
## X.1                         NA               NA           NA             NA
## X.2                         NA               NA           NA             NA
## X.3                         NA               NA           NA             NA
## X.4                         NA               NA           NA             NA
## X.5                         NA               NA           NA             NA
## X.6                         NA               NA           NA             NA
## X.7                         NA               NA           NA             NA
## X.8                         NA               NA           NA             NA
## X.9                         NA               NA           NA             NA
## X.10                        NA               NA           NA             NA
## X.11                        NA               NA           NA             NA
## X.12                        NA               NA           NA             NA
##                       Tow_Bar  X X.1 X.2 X.3 X.4 X.5 X.6 X.7 X.8 X.9 X.10 X.11
## Price            -0.172368602 NA  NA  NA  NA  NA  NA  NA  NA  NA  NA   NA   NA
## Age_08_04         0.188719528 NA  NA  NA  NA  NA  NA  NA  NA  NA  NA   NA   NA
## Mfg_Month        -0.042169981 NA  NA  NA  NA  NA  NA  NA  NA  NA  NA   NA   NA
## Mfg_Year         -0.182205679 NA  NA  NA  NA  NA  NA  NA  NA  NA  NA   NA   NA
## KM                0.084153196 NA  NA  NA  NA  NA  NA  NA  NA  NA  NA   NA   NA
## HP                0.068271274 NA  NA  NA  NA  NA  NA  NA  NA  NA  NA   NA   NA
## Met_Color         0.148536237 NA  NA  NA  NA  NA  NA  NA  NA  NA  NA   NA   NA
## Automatic         0.018785917 NA  NA  NA  NA  NA  NA  NA  NA  NA  NA   NA   NA
## cc                0.002724607 NA  NA  NA  NA  NA  NA  NA  NA  NA  NA   NA   NA
## Doors             0.102291795 NA  NA  NA  NA  NA  NA  NA  NA  NA  NA   NA   NA
## Gears            -0.029356649 NA  NA  NA  NA  NA  NA  NA  NA  NA  NA   NA   NA
## Quarterly_Tax    -0.004987518 NA  NA  NA  NA  NA  NA  NA  NA  NA  NA   NA   NA
## Weight           -0.074931667 NA  NA  NA  NA  NA  NA  NA  NA  NA  NA   NA   NA
## Mfr_Guarantee    -0.023328109 NA  NA  NA  NA  NA  NA  NA  NA  NA  NA   NA   NA
## BOVAG_Guarantee  -0.006718221 NA  NA  NA  NA  NA  NA  NA  NA  NA  NA   NA   NA
## Guarantee_Period  0.008590048 NA  NA  NA  NA  NA  NA  NA  NA  NA  NA   NA   NA
## ABS              -0.065976495 NA  NA  NA  NA  NA  NA  NA  NA  NA  NA   NA   NA
## Airbag_1          0.052311749 NA  NA  NA  NA  NA  NA  NA  NA  NA  NA   NA   NA
## Airbag_2         -0.063955554 NA  NA  NA  NA  NA  NA  NA  NA  NA  NA   NA   NA
## Airco            -0.024361999 NA  NA  NA  NA  NA  NA  NA  NA  NA  NA   NA   NA
## Automatic_airco  -0.117966859 NA  NA  NA  NA  NA  NA  NA  NA  NA  NA   NA   NA
## Boardcomputer    -0.128001147 NA  NA  NA  NA  NA  NA  NA  NA  NA  NA   NA   NA
## CD_Player        -0.079910736 NA  NA  NA  NA  NA  NA  NA  NA  NA  NA   NA   NA
## Central_Lock     -0.007727796 NA  NA  NA  NA  NA  NA  NA  NA  NA  NA   NA   NA
## Powered_Windows  -0.013251510 NA  NA  NA  NA  NA  NA  NA  NA  NA  NA   NA   NA
## Power_Steering    0.030452502 NA  NA  NA  NA  NA  NA  NA  NA  NA  NA   NA   NA
## Radio             0.143652264 NA  NA  NA  NA  NA  NA  NA  NA  NA  NA   NA   NA
## Mistlamps        -0.069478951 NA  NA  NA  NA  NA  NA  NA  NA  NA  NA   NA   NA
## Sport_Model      -0.094147136 NA  NA  NA  NA  NA  NA  NA  NA  NA  NA   NA   NA
## Backseat_Divider -0.049175675 NA  NA  NA  NA  NA  NA  NA  NA  NA  NA   NA   NA
## Metallic_Rim     -0.037330986 NA  NA  NA  NA  NA  NA  NA  NA  NA  NA   NA   NA
## Radio_cassette    0.140753310 NA  NA  NA  NA  NA  NA  NA  NA  NA  NA   NA   NA
## Tow_Bar           1.000000000 NA  NA  NA  NA  NA  NA  NA  NA  NA  NA   NA   NA
## X                          NA  1  NA  NA  NA  NA  NA  NA  NA  NA  NA   NA   NA
## X.1                        NA NA   1  NA  NA  NA  NA  NA  NA  NA  NA   NA   NA
## X.2                        NA NA  NA   1  NA  NA  NA  NA  NA  NA  NA   NA   NA
## X.3                        NA NA  NA  NA   1  NA  NA  NA  NA  NA  NA   NA   NA
## X.4                        NA NA  NA  NA  NA   1  NA  NA  NA  NA  NA   NA   NA
## X.5                        NA NA  NA  NA  NA  NA   1  NA  NA  NA  NA   NA   NA
## X.6                        NA NA  NA  NA  NA  NA  NA   1  NA  NA  NA   NA   NA
## X.7                        NA NA  NA  NA  NA  NA  NA  NA   1  NA  NA   NA   NA
## X.8                        NA NA  NA  NA  NA  NA  NA  NA  NA   1  NA   NA   NA
## X.9                        NA NA  NA  NA  NA  NA  NA  NA  NA  NA   1   NA   NA
## X.10                       NA NA  NA  NA  NA  NA  NA  NA  NA  NA  NA    1   NA
## X.11                       NA NA  NA  NA  NA  NA  NA  NA  NA  NA  NA   NA    1
## X.12                       NA NA  NA  NA  NA  NA  NA  NA  NA  NA  NA   NA   NA
##                  X.12
## Price              NA
## Age_08_04          NA
## Mfg_Month          NA
## Mfg_Year           NA
## KM                 NA
## HP                 NA
## Met_Color          NA
## Automatic          NA
## cc                 NA
## Doors              NA
## Gears              NA
## Quarterly_Tax      NA
## Weight             NA
## Mfr_Guarantee      NA
## BOVAG_Guarantee    NA
## Guarantee_Period   NA
## ABS                NA
## Airbag_1           NA
## Airbag_2           NA
## Airco              NA
## Automatic_airco    NA
## Boardcomputer      NA
## CD_Player          NA
## Central_Lock       NA
## Powered_Windows    NA
## Power_Steering     NA
## Radio              NA
## Mistlamps          NA
## Sport_Model        NA
## Backseat_Divider   NA
## Metallic_Rim       NA
## Radio_cassette     NA
## Tow_Bar            NA
## X                  NA
## X.1                NA
## X.2                NA
## X.3                NA
## X.4                NA
## X.5                NA
## X.6                NA
## X.7                NA
## X.8                NA
## X.9                NA
## X.10               NA
## X.11               NA
## X.12                1
#price/age/mfg_year
prcageyr=ggplot(ToyotaCorolla,aes(ToyotaCorolla$Age_08_04,Price,colour=Mfg_Year))+
  geom_point()
#mfg_year/bpardcomp
mfgbcmp=ggplot(ToyotaCorolla,aes(x=TCData$Mfg_Year,fill=Boardcomputer==1))+
  geom_histogram(binwidth=1,position='fill')
#powerwindow/centrallock
powcent=ggplot(ToyotaCorolla,aes(x=TCData$Powered_Windows,y=TCData$Central_Lock))+
  geom_col()
#radio/cassette
radcas=ggplot(ToyotaCorolla,aes(x=TCData$Radio,y=TCData$Radio_cassette))+
  geom_col()
ggarrange(prcageyr,mfgbcmp,powcent,radcas,nrow=2,ncol=2)
## Warning: Use of `ToyotaCorolla$Age_08_04` is discouraged. Use `Age_08_04`
## instead.

ToyotaCorolla$Model = as.character(ToyotaCorolla$Model)
ToyotaCorollaDummy=dummy.data.frame(ToyotaCorolla,dummy.class="factor")

ToyotaCorollaDummy=ToyotaCorollaDummy[,!colnames(ToyotaCorollaDummy) %in% "Fuel_TypeCNG"]
ToyotaCorollaDummy=ToyotaCorollaDummy[,!colnames(ToyotaCorollaDummy) %in% "ColorBeige"]
as.array(names(ToyotaCorollaDummy))
##  [1] "Id"               "Model"            "Price"            "Age_08_04"       
##  [5] "Mfg_Month"        "Mfg_Year"         "KM"               "Fuel_Type"       
##  [9] "HP"               "Met_Color"        "Color"            "Automatic"       
## [13] "cc"               "Doors"            "Cylinders"        "Gears"           
## [17] "Quarterly_Tax"    "Weight"           "Mfr_Guarantee"    "BOVAG_Guarantee" 
## [21] "Guarantee_Period" "ABS"              "Airbag_1"         "Airbag_2"        
## [25] "Airco"            "Automatic_airco"  "Boardcomputer"    "CD_Player"       
## [29] "Central_Lock"     "Powered_Windows"  "Power_Steering"   "Radio"           
## [33] "Mistlamps"        "Sport_Model"      "Backseat_Divider" "Metallic_Rim"    
## [37] "Radio_cassette"   "Tow_Bar"          "X"                "X.1"             
## [41] "X.2"              "X.3"              "X.4"              "X.5"             
## [45] "X.6"              "X.7"              "X.8"              "X.9"             
## [49] "X.10"             "X.11"             "X.12"