##HOUSE HOLD EXPENDETURE DATA##
##TOPIC: LOADING, CLEANING,EXPLORITARY ANALYSIS,GRAPHS
##PACKAGES##
pacman::p_load(pacman,dplyr,GGally,ggvis,ggthemes,ggplot2,httr,
lubridate,shiny,rio,stringr,tidyr,rmarkdown,
plotly,psych)
###FOR FASTER DATA LOADING USE THE Fread func##
library(data.table)
##
## Attaching package: 'data.table'
## The following objects are masked from 'package:lubridate':
##
## hour, isoweek, mday, minute, month, quarter, second, wday, week,
## yday, year
## The following objects are masked from 'package:dplyr':
##
## between, first, last
House_expen <- fread("C:\\Users\\xholi\\Downloads\\house_hold-expen.csv", header = T ,sep = ",")
head(House_expen)
## MsCode HECCode Estimate RSE Flag
## 1: M003 Total Gross 2441552500 NA R
## 2: M003 Total Net 2370610600 NA R
## 3: M003 01 410549200 NA R
## 4: M003 01.1 41365600 NA R
## 5: M003 01.1.01 16868800 NA R
## 6: M003 01.1.01.1 2116800 NA R
colSums(is.na(House_expen))
## MsCode HECCode Estimate RSE Flag
## 0 0 2608 9469 0
House_expen.data <-na.omit(House_expen)
head(House_expen.data)
## MsCode HECCode Estimate RSE Flag
## 1: M002 Total Gross 127302.546 2.7 R
## 2: M002 Total Net 123603.637 2.7 R
## 3: M002 01 21406.038 2.9 R
## 4: M002 01.1 2156.803 4.0 R
## 5: M002 01.1.01 879.541 4.7 R
## 6: M002 01.1.01.1 110.372 8.5 R
str(House_expen.data)
## Classes 'data.table' and 'data.frame': 2287 obs. of 5 variables:
## $ MsCode : chr "M002" "M002" "M002" "M002" ...
## $ HECCode : chr "Total Gross" "Total Net" "01" "01.1" ...
## $ Estimate: num 127303 123604 21406 2157 880 ...
## $ RSE : num 2.7 2.7 2.9 4 4.7 8.5 8.5 15.5 20.5 11.3 ...
## $ Flag : chr "R" "R" "R" "R" ...
## - attr(*, ".internal.selfref")=<externalptr>
summary(House_expen.data)
## MsCode HECCode Estimate RSE
## Length:2287 Length:2287 Min. : -3698.91 Min. : 2.60
## Class :character Class :character 1st Qu.: 7.15 1st Qu.: 19.10
## Mode :character Mode :character Median : 31.20 Median : 40.60
## Mean : 433.19 Mean : 48.22
## 3rd Qu.: 156.61 3rd Qu.: 69.20
## Max. :127302.55 Max. :182.70
## Flag
## Length:2287
## Class :character
## Mode :character
##
##
##
House_expen.data[ ,1]
## MsCode
## 1: M002
## 2: M002
## 3: M002
## 4: M002
## 5: M002
## ---
## 2283: M002
## 2284: M002
## 2285: M002
## 2286: M002
## 2287: M002
House_expen.data[,3]
## Estimate
## 1: 127302.546
## 2: 123603.637
## 3: 21406.038
## 4: 2156.803
## 5: 879.541
## ---
## 2283: -192.450
## 2284: -192.450
## 2285: -192.450
## 2286: -66.336
## 2287: -126.113
is.data.table(House_expen.data)
## [1] TRUE
###BASIC PLOTS##
plot(House_expen.data$HECCode,House_expen.data$Estimate,col="purple",
main = "HECCODE as a function of Estimate",xlab = "HECCODE",ylab = "Estimate",pch=19)
## Warning in xy.coords(x, y, xlabel, ylabel, log): NAs introduced by coercion
###from the plot it looks eveident that most avarage under R100000 with R200000 being the max with na outlier of around R300000
##when HECCode as a function of estimate##
plot(House_expen.data$HECCode,House_expen.data$RSE,col="green",pch=19,
main = "RSE as a function of HECCode",xlab = "HECCode",ylab = "RSE")
## Warning in xy.coords(x, y, xlabel, ylabel, log): NAs introduced by coercion
##as the HECCode increases so does the RSE with one outlier at RSE>=100##
hist(House_expen.data$Estimate,col="yellow",xlab="Estimate",
main = "Hist of House hold expenses:ESTIMATES")
## MOST OF THE HOUSE HOLDS SPEND IN THE EXCESS OF R100000 WITH LESS THAN A 100 HOUSE HOLDS EXPENDITURES OF LESS THAN R0
hist(House_expen.data$RSE,col="blue",xlab="RSE",main = "Hist of House hold expense:RSE")
##THE DISTRIBUTION OF RSE IN HOUSE HOLD EXPENDITURES IS RIGHT TAILED WITH RSE(20) HAVING THE HIGHEST FREQUENCY
House_expen.data[4]
## MsCode HECCode Estimate RSE Flag
## 1: M002 01.1 2156.803 4 R
cor(House_expen.data$Estimate,House_expen.data$RSE)
## [1] -0.1202196
##House hold stimate and Rse are negatively correlated
mean(House_expen.data$Estimate)
## [1] 433.189
##The mean Estimate EXPENDITURE is R433.189
max(House_expen.data$Estimate)
## [1] 127302.5
## The max Estimate EXPENDITURE is R127302.5
min(House_expen.data$Estimate)
## [1] -3698.909
##With the minimun EXPENDITURE being -R3698.909
##meaning the aount house holds tend to overspend or be indebted to##
sd(House_expen.data$Estimate)
## [1] 3947.412
##the standard dev is R3947.412
##complex vector
Mod
## function (z) .Primitive("Mod")
Mod(House_expen.data$Estimate)
## [1] 127302.546 123603.637 21406.038 2156.803 879.541 110.372
## [7] 110.372 34.518 14.382 56.482 0.987 1.645
## [13] 2.335 145.759 145.759 145.759 128.699 128.699
## [19] 98.524 27.459 2.716 102.479 102.479 9.555
## [25] 9.793 10.337 41.401 13.235 18.158 146.493
## [31] 146.493 0.838 9.136 31.203 33.951 55.637
## [37] 15.729 93.531 93.531 20.732 0.746 3.823
## [43] 8.502 1.304 0.947 4.226 10.675 2.134
## [49] 10.589 9.785 13.340 6.200 71.475 71.475
## [55] 0.432 8.587 1.934 0.356 5.765 13.344
## [61] 8.681 0.641 1.532 1.912 7.366 20.446
## [67] 80.734 80.734 1.941 1.176 2.257 35.860
## [73] 0.705 7.760 11.858 2.108 8.019 2.154
## [79] 6.385 1277.262 145.190 145.190 13.603 12.949
## [85] 1.180 74.707 4.661 32.274 5.766 91.827
## [91] 91.827 40.460 4.795 23.529 20.089 2.954
## [97] 265.661 265.661 9.227 17.770 12.403 34.759
## [103] 21.052 2.162 46.904 109.117 12.268 212.691
## [109] 67.490 4.653 43.253 8.434 2.294 6.695
## [115] 1.041 1.119 80.255 14.745 6.987 48.844
## [121] 9.679 64.946 64.946 157.705 157.705 46.615
## [127] 100.579 6.075 4.435 152.451 152.451 38.648
## [133] 17.622 86.414 9.767 13.045 13.045 2.837
## [139] 2.366 4.689 2.256 238.693 124.271 4.652
## [145] 3.800 4.408 8.436 26.184 1.195 15.885
## [151] 55.390 0.944 3.377 114.422 1.628 11.045
## [157] 5.897 5.921 4.772 1.129 13.349 1.741
## [163] 5.913 26.031 13.851 3.984 1.725 3.266
## [169] 13.893 2570.803 2133.356 466.253 466.253 29.632
## [175] 19.658 219.127 135.310 2.056 14.818 35.794
## [181] 9.787 167.978 167.978 11.089 63.267 8.265
## [187] 44.516 0.884 15.533 12.422 12.002 180.809
## [193] 2.659 0.187 178.150 10.977 82.335 8.734
## [199] 1.962 58.442 7.558 8.142 483.434 473.464
## [205] 38.735 329.320 81.006 2.121 5.393 3.839
## [211] 13.051 9.969 4.469 4.291 195.002 195.002
## [217] 142.562 7.969 14.848 14.960 14.663 639.880
## [223] 436.275 2.478 116.491 12.504 9.795 41.470
## [229] 6.149 10.726 31.808 43.643 128.148 14.061
## [235] 18.050 194.636 0.898 9.732 74.933 98.846
## [241] 8.505 8.968 4.493 4.050 437.447 179.978
## [247] 179.978 33.770 4.644 85.624 4.536 10.447
## [253] 40.577 50.934 50.934 12.351 7.848 6.492
## [259] 8.780 12.172 206.535 92.244 2.952 9.387
## [265] 36.288 36.087 3.119 4.194 79.112 0.432
## [271] 1.454 4.194 12.238 3.860 56.666 35.179
## [277] 3.988 5.414 4.294 10.936 9.476 9424.898
## [283] 1672.555 531.877 531.877 61.649 55.861 7.786
## [289] 171.044 89.333 5.868 74.989 13.460 12.878
## [295] 39.010 548.345 548.345 9.279 23.918 47.606
## [301] 115.619 58.431 142.418 20.369 3.926 4.868
## [307] 35.954 1.653 1.985 69.735 12.586 188.136
## [313] 188.136 1.637 17.957 41.679 35.846 13.220
## [319] 59.852 17.946 62.044 62.044 4.925 10.949
## [325] 11.765 11.301 14.632 8.296 134.379 134.379
## [331] 2.041 56.716 4.846 4.317 30.145 23.946
## [337] 9.033 3.059 207.774 54.353 22.496 4.075
## [343] 1.699 11.166 3.170 11.747 93.393 0.486
## [349] 0.633 2.612 80.547 1.391 3.373 3.625
## [355] 1.306 0.889 0.417 58.722 11.431 14.158
## [361] 32.274 0.859 1417.000 429.382 429.382 383.294
## [367] 30.467 15.621 61.958 61.958 47.824 14.133
## [373] 185.522 185.522 185.522 384.631 384.631 15.490
## [379] 165.291 11.763 19.563 111.588 25.964 28.787
## [385] 6.185 143.195 143.195 50.921 2.153 20.068
## [391] 7.069 6.333 6.938 21.712 16.440 11.454
## [397] 212.312 212.312 211.263 1.049 299.997 132.889
## [403] 132.889 132.889 66.106 66.106 52.554 0.741
## [409] 12.812 99.332 99.332 9.918 49.162 5.445
## [415] 9.159 11.365 13.973 1.670 1.670 1.670
## [421] 476.012 52.251 52.251 23.714 5.432 3.253
## [427] 3.616 5.165 2.475 5.476 1.144 1.975
## [433] 20.269 20.269 0.990 2.032 2.872 1.469
## [439] 0.853 8.093 3.238 286.459 286.459 6.411
## [445] 1.456 17.233 17.806 14.023 87.410 2.871
## [451] 6.879 51.731 2.763 24.282 9.484 11.882
## [457] 7.496 24.732 86.359 86.359 1.485 13.015
## [463] 9.276 11.471 32.043 13.447 5.622 25.999
## [469] 25.999 21.752 4.246 4.676 4.676 2.725
## [475] 0.847 1.104 1202.734 322.015 322.015 41.207
## [481] 280.808 130.525 130.525 32.524 18.143 15.890
## [487] 12.025 13.530 31.368 7.045 212.233 212.233
## [493] 28.393 76.308 99.460 4.700 3.372 191.014
## [499] 191.014 21.202 169.812 346.947 346.947 105.062
## [505] 28.985 58.721 22.340 131.839 4356.600 203.336
## [511] 203.336 2.637 58.867 11.097 50.770 22.286
## [517] 0.635 5.598 35.413 8.950 6.745 56.003
## [523] 56.003 21.433 33.810 0.540 125.843 125.843
## [529] 3.416 72.367 28.751 21.309 44.455 44.455
## [535] 24.317 5.357 14.217 40.405 40.405 0.777
## [541] 32.108 0.924 5.500 27.766 27.766 27.738
## [547] 3858.792 268.628 41.424 9.130 51.047 147.330
## [553] 19.697 3590.164 3587.975 1052.675 361.752 238.250
## [559] 238.250 238.143 99.975 99.975 65.153 34.822
## [565] 23.527 23.527 15.648 7.879 690.923 295.219
## [571] 295.219 295.219 51.925 51.925 51.925 117.473
## [577] 117.473 110.711 4.320 2.442 26.496 26.496
## [583] 8.881 11.387 2.444 1.241 2.543 19.792
## [589] 19.792 19.792 180.020 180.020 150.847 22.803
## [595] 6.371 6200.860 2425.958 2425.958 2425.958 190.988
## [601] 209.304 950.415 1045.569 29.682 3576.342 3576.342
## [607] 3576.342 284.446 8.120 15.688 158.230 11.103
## [613] 139.440 267.520 485.560 44.463 55.216 1.109
## [619] 16.069 2.593 14.200 138.895 451.633 87.772
## [625] 10.819 76.061 32.104 1.830 222.485 495.106
## [631] 23.538 3.772 8.075 13.483 21.093 326.852
## [637] 159.068 198.559 198.559 198.559 2691.010 1882.279
## [643] 646.525 451.924 451.924 451.924 194.601 194.601
## [649] 194.601 724.224 634.815 634.815 38.708 2.620
## [655] 593.488 89.409 89.409 8.719 80.321 192.377
## [661] 160.491 160.491 118.227 12.372 29.893 31.886
## [667] 31.886 6.631 23.392 1.862 319.154 319.154
## [673] 319.154 219.887 95.971 803.945 803.945 591.120
## [679] 591.120 591.120 169.456 169.456 141.629 4.289
## [685] 23.538 42.864 42.864 17.985 24.880 3361.929
## [691] 2654.642 905.554 905.554 32.324 32.324 54.337
## [697] 28.395 25.942 5.558 5.558 166.414 30.680
## [703] 33.092 102.643 90.797 28.354 16.315 12.430
## [709] 14.904 18.793 47.588 47.588 81.277 21.568
## [715] 24.992 13.178 18.704 424.501 299.821 27.369
## [721] 40.390 47.492 8.563 411.393 411.393 93.800
## [727] 11.739 82.061 63.541 27.614 35.927 99.174
## [733] 40.949 43.237 30.670 3.291 15.878 9.901
## [739] 36.870 4.942 18.686 11.602 74.770 17.820
## [745] 52.934 947.370 947.370 55.336 55.336 95.979
## [751] 72.180 23.799 143.528 24.705 107.500 230.271
## [757] 21.681 68.742 139.847 48.476 17.915 7.064
## [763] 11.145 10.247 178.336 17.648 121.007 9.541
## [769] 29.310 189.957 136.222 15.441 32.325 5.970
## [775] 181.363 36.184 2.578 10.720 8.446 10.719
## [781] 3.661 1.215 5.843 9.585 2.344 1.397
## [787] 3.486 2.358 75.678 6.807 6.807 3.787
## [793] 15.401 14.640 15.172 14.236 4.247 1.964
## [799] 16.342 5.997 2.065 7.774 6.184 6.184
## [805] 69.501 69.501 19.393 4.037 3.270 7.701
## [811] 19.242 4.646 1.066 5.352 65.376 65.376
## [817] 65.376 28.587 10.745 6.459 13.671 5.392
## [823] 68.616 68.616 68.616 2.122 1.691 0.594
## [829] 34.231 4.482 3.646 1.086 2.340 11.870
## [835] 3.116 1.560 74.972 74.972 74.972 21.628
## [841] 21.094 15.467 707.287 284.301 284.301 284.301
## [847] 180.694 9.523 11.620 59.907 112.270 112.270
## [853] 112.270 60.570 1.841 2.390 45.436 202.850
## [859] 202.850 202.850 134.372 21.919 10.183 24.025
## [865] 90.852 90.852 90.852 26.562 30.882 24.623
## [871] 17.013 17.013 17.013 3.478 4.259 8.689
## [877] 31546.569 11308.539 11064.106 10985.946 10985.946 7.793
## [883] 10962.466 15.686 78.160 78.160 23.192 36.203
## [889] 244.433 244.433 244.433 150.146 39.729 54.557
## [895] 9549.176 6339.051 6339.051 6339.051 5202.832 1001.382
## [901] 87.939 46.898 366.992 366.992 33.951 13.304
## [907] 17.033 3.266 2.290 1.926 12.348 7.908
## [913] 4.440 10.230 3.437 1.263 5.126 173.388
## [919] 44.666 45.059 5.958 77.704 21.776 5.480
## [925] 2.470 3.320 10.506 112.523 1.537 11.987
## [931] 2.224 68.865 5.679 4.841 10.434 2843.133
## [937] 2843.133 2843.133 69.225 56.478 50.903 48.295
## [943] 15.561 52.466 590.428 180.599 125.551 47.501
## [949] 105.250 129.769 31.417 151.781 201.854 116.116
## [955] 6.053 739.688 5.132 15.850 2619.126 917.668
## [961] 917.668 56.760 4.835 6.668 2.115 1.009
## [967] 123.607 70.100 17.513 35.994 194.840 47.746
## [973] 6.196 7.026 6.571 127.228 37.543 15.555
## [979] 10.196 8.598 3.195 87.591 25.714 43.467
## [985] 11.269 62.247 5.829 49.356 4.974 352.964
## [991] 36.751 139.205 24.334 60.605 7.630 2.131
## [997] 34.169 12.693 1701.458 1701.458 1701.458 17.528
## [1003] 15.879 28.070 46.037 327.670 218.038 143.104
## [1009] 23.425 14.512 37.874 74.109 264.791 4.135
## [1015] 14.860 40.111 81.535 6.792 110.830 19.331
## [1021] 9.863 28.344 51.242 3641.885 416.627 416.627
## [1027] 416.627 416.627 110.354 110.354 110.354 43.110
## [1033] 43.481 23.539 3097.544 3097.479 3097.479 1609.512
## [1039] 189.701 70.283 8.177 1144.031 75.776 17.361
## [1045] 17.361 17.361 17.361 4091.562 3385.090 3385.090
## [1051] 3385.090 3385.090 283.379 169.894 169.894 169.894
## [1057] 113.486 113.486 113.486 101.648 101.648 101.648
## [1063] 9.109 92.539 4.725 4.725 4.725 4.725
## [1069] 316.719 316.719 316.719 299.881 0.657 5.346
## [1075] 10.834 336.282 336.282 336.282 336.282 94.150
## [1081] 197.909 44.223 4701.153 1245.868 960.662 960.662
## [1087] 960.662 36.457 9.913 3.002 5.938 18.203
## [1093] 22.701 1.332 134.381 13.745 10.361 4.391
## [1099] 161.154 1.652 2.892 8.172 11.667 2.925
## [1105] 1.956 2.307 32.693 47.268 23.590 34.284
## [1111] 7.999 1.715 10.490 10.070 18.615 128.305
## [1117] 27.531 52.920 0.621 35.508 1.026 251.441
## [1123] 251.441 251.441 169.523 15.027 26.788 12.165
## [1129] 26.379 33.765 33.765 33.765 5.201 23.198
## [1135] 444.273 444.273 444.273 444.273 8.170 8.745
## [1141] 44.958 125.552 45.639 35.111 14.752 5.574
## [1147] 31.344 100.396 13.645 938.145 771.316 162.642
## [1153] 162.642 4.760 5.147 0.933 67.711 76.464
## [1159] 7.627 191.271 191.271 6.772 50.633 95.218
## [1165] 23.754 14.709 101.900 101.900 42.779 15.699
## [1171] 32.090 5.140 3.345 208.086 208.086 30.034
## [1177] 0.504 6.079 20.771 1.120 129.424 10.057
## [1183] 5.332 19.685 19.685 19.685 87.536 87.536
## [1189] 8.157 5.060 117.335 117.335 117.335 10.661
## [1195] 20.652 8.077 8.856 1.592 19.864 7.090
## [1201] 49.495 49.495 49.495 44.834 4.660 377.468
## [1207] 377.468 81.562 81.562 3.060 32.284 8.455
## [1213] 5.774 4.165 4.811 17.037 295.906 295.906
## [1219] 6.160 12.442 11.998 12.551 16.457 1.884
## [1225] 75.870 24.405 11.317 15.240 4.320 4.847
## [1231] 14.919 41.466 5.537 2.950 23.961 523.599
## [1237] 215.071 215.071 215.071 4.242 101.114 55.633
## [1243] 25.816 17.378 2.978 308.528 308.528 308.528
## [1249] 16.943 13.217 2.885 35.333 44.813 42.335
## [1255] 14.396 10.529 2.840 7.349 22.969 5.262
## [1261] 10.711 6.443 23.012 13.140 5.172 1171.800
## [1267] 658.329 359.547 359.547 20.380 12.008 100.803
## [1273] 8.336 70.936 4.943 6.205 51.478 4.824
## [1279] 1.993 22.309 3.220 47.315 298.782 298.782
## [1285] 10.561 8.734 0.925 32.057 27.970 8.487
## [1291] 13.016 1.060 1.203 2.849 5.445 5.138
## [1297] 3.542 5.941 41.569 1.196 33.116 1.753
## [1303] 1.993 8.026 1.368 7.455 25.130 49.057
## [1309] 513.471 513.471 513.471 141.449 117.914 16.203
## [1315] 27.715 73.441 24.455 64.778 42.181 3836.004
## [1321] 1269.645 825.697 825.697 825.697 130.005 115.747
## [1327] 27.440 1.138 46.164 6.795 8.626 5.061
## [1333] 47.947 3.704 8.001 19.044 13.106 13.393
## [1339] 6.811 2.055 15.639 299.020 3.223 1.900
## [1345] 20.697 28.166 88.944 88.944 88.944 10.670
## [1351] 20.502 2.063 55.710 355.004 355.004 355.004
## [1357] 252.370 29.585 4.524 10.487 2477.230 1394.926
## [1363] 1394.926 1394.926 405.695 182.164 273.880 43.773
## [1369] 186.631 82.970 106.185 24.284 37.337 14.356
## [1375] 37.652 1060.031 1060.031 1060.031 922.287 137.744
## [1381] 22.273 17.143 17.143 5.363 8.838 2.943
## [1387] 89.128 89.128 89.128 89.128 80.036 19777.680
## [1393] 7084.811 2775.001 2775.001 2775.001 1653.955 925.669
## [1399] 195.377 4105.495 4105.495 4105.495 2908.563 1028.847
## [1405] 168.085 97.326 97.326 97.326 59.644 2.422
## [1411] 24.998 10.262 106.989 106.989 106.989 15.330
## [1417] 91.659 6836.895 682.304 682.304 682.304 95.237
## [1423] 31.714 33.225 1.956 10.672 201.854 11.360
## [1429] 15.902 5.365 1.323 10.655 8.396 15.037
## [1435] 66.355 13.486 8.041 1.719 12.685 0.457
## [1441] 27.425 93.985 4445.050 4445.050 4445.050 4445.050
## [1447] 377.810 377.810 377.810 23.678 297.035 6.079
## [1453] 42.914 2.689 2.781 512.221 512.221 512.221
## [1459] 16.471 7.223 85.309 1.894 16.480 97.499
## [1465] 6.907 21.085 15.275 51.301 16.221 58.798
## [1471] 3.823 4.810 3.921 24.856 4.093 1.059
## [1477] 21.464 47.951 819.510 819.510 819.510 9.987
## [1483] 318.739 103.670 127.779 19.370 169.212 6.967
## [1489] 15.404 15.358 28.767 5855.974 104.029 104.029
## [1495] 104.029 86.194 17.835 504.894 504.894 504.894
## [1501] 154.751 243.905 19.730 78.188 0.791 7.528
## [1507] 466.495 466.495 466.495 466.495 4462.690 4462.690
## [1513] 765.443 13.280 192.338 172.331 64.835 185.578
## [1519] 137.080 1082.583 126.741 24.022 128.157 803.663
## [1525] 83.698 83.698 148.142 148.142 1164.094 745.135
## [1531] 65.655 353.304 502.267 502.267 171.752 171.752
## [1537] 366.981 137.422 74.994 154.565 177.730 177.730
## [1543] 33.409 33.409 33.409 18.029 284.233 284.233
## [1549] 284.233 14.891 258.427 3573.102 114.163 114.163
## [1555] 114.163 114.163 44.493 9.107 57.545 458.063
## [1561] 458.063 458.063 458.063 438.997 3000.876 3000.876
## [1567] 3000.876 3000.876 63.563 97.263 295.112 513.425
## [1573] 821.013 1031.950 8.865 3.630 8.799 156.737
## [1579] 11912.647 902.425 325.027 323.072 323.072 5.515
## [1585] 2.349 14.161 197.885 2.022 2.352 1.069
## [1591] 3.767 24.088 5.411 6.613 33.748 0.543
## [1597] 0.954 430.179 430.179 430.179 9.733 49.181
## [1603] 195.090 11.604 60.605 3.143 40.626 2.582
## [1609] 30.440 92.717 92.717 92.717 30.506 9.326
## [1615] 30.581 3.703 4.065 54.502 54.502 54.502
## [1621] 5.360 34.105 447.685 447.685 329.720 329.720
## [1627] 7.603 37.566 5.135 49.255 115.144 11.699
## [1633] 42.250 42.250 1.743 13.646 6.223 4.729
## [1639] 7.557 5.715 4.267 4.267 4.267 71.447
## [1645] 71.447 2611.305 457.585 457.585 457.585 104.797
## [1651] 31.612 66.680 5.890 16.931 15.639 12.574
## [1657] 25.793 30.442 8.756 7.555 2.464 17.618
## [1663] 5.921 44.291 4.363 7.724 39.132 723.198
## [1669] 654.242 654.242 2.002 12.453 24.228 6.075
## [1675] 0.836 18.217 4.183 9.541 33.207 25.379
## [1681] 5.864 21.762 22.337 36.668 28.365 325.581
## [1687] 12.396 10.463 10.081 9.464 13.252 68.956
## [1693] 68.956 13.318 611.256 611.256 611.256 26.641
## [1699] 34.548 41.287 36.289 97.028 20.075 114.772
## [1705] 2.710 28.043 38.267 27.154 71.069 24.041
## [1711] 4.182 4.863 5.897 21.831 9.194 819.266
## [1717] 31.733 31.733 580.563 580.563 144.305 131.397
## [1723] 177.548 10.465 44.209 30.961 16.822 24.856
## [1729] 136.260 136.260 51.358 10.558 36.339 10.348
## [1735] 5.320 22.337 70.710 70.710 29.485 25.683
## [1741] 7.139 8.403 3822.273 1304.713 1304.713 263.367
## [1747] 89.508 57.236 69.144 32.626 444.019 21.715
## [1753] 0.864 126.873 246.649 5.396 5.466 1.983
## [1759] 27.717 7.357 69.261 39.946 19.767 8.037
## [1765] 484.391 4.900 88.849 222.145 11.954 10.706
## [1771] 22.486 32.828 14.674 7.959 3.257 38.834
## [1777] 43.676 11.392 4.074 23.745 1677.822 400.370
## [1783] 400.370 147.094 192.042 6.669 1.830 44.892
## [1789] 7.737 95.726 90.391 6.452 15.651 68.288
## [1795] 5.335 2.984 537.019 527.761 527.761 9.257
## [1801] 6.526 644.707 81.680 13.044 26.483 14.370
## [1807] 7.895 476.415 128.071 5.747 6.504 6.885
## [1813] 0.344 290.685 3.395 31.819 86.613 27.434
## [1819] 9.630 439.045 439.045 439.045 303.975 44.479
## [1825] 73.625 400.692 400.692 400.692 50.573 26.221
## [1831] 273.951 23.039 2.163 21.912 688.685 231.087
## [1837] 231.087 231.087 141.923 11.421 8.095 14.923
## [1843] 17.514 1.495 19.327 7.952 181.509 181.509
## [1849] 181.509 112.212 68.276 70.203 70.203 70.203
## [1855] 12.421 55.054 205.887 205.887 205.887 25.032
## [1861] 15.632 10.400 1.894 0.953 4.942 26.130
## [1867] 5.510 8.333 0.937 14.328 1.713 1.752
## [1873] 0.656 0.598 3.135 0.380 23.409 1.036
## [1879] 1.003 0.321 1.224 0.665 3.419 33.600
## [1885] 2.074 11.681 4.408 2746.071 2746.071 721.458
## [1891] 721.458 200.832 177.387 7.375 81.090 138.084
## [1897] 58.677 58.013 2024.613 2024.613 2024.613 694.203
## [1903] 694.203 686.440 686.440 686.440 1785.032 603.832
## [1909] 603.832 603.832 308.450 213.159 95.292 295.381
## [1915] 295.381 380.968 380.968 224.489 224.489 164.591
## [1921] 48.440 11.458 156.480 156.480 58.741 95.330
## [1927] 590.914 590.914 590.914 590.914 266.105 132.322
## [1933] 9.268 181.659 209.318 209.318 209.318 209.318
## [1939] 84.802 38.651 24.844 10465.907 2303.189 1059.180
## [1945] 1059.180 1059.180 593.080 345.317 15.042 5.089
## [1951] 98.883 37.757 37.757 37.757 19.919 7.382
## [1957] 1206.251 67.660 67.660 3.803 1.488 10.578
## [1963] 28.964 13.812 1.247 7.768 322.653 322.653
## [1969] 14.839 75.879 92.169 1.719 34.102 57.028
## [1975] 8.781 7.602 26.263 446.659 446.659 16.766
## [1981] 17.443 24.587 47.506 3.148 9.773 47.643
## [1987] 14.214 28.377 44.430 17.634 3.205 109.763
## [1993] 7.159 46.205 369.279 369.279 83.377 34.918
## [1999] 2.211 144.748 41.133 59.142 2.750 1358.225
## [2005] 225.439 225.439 225.439 8.646 52.715 38.197
## [2011] 10.431 23.100 31.940 4.715 31.395 18.820
## [2017] 1132.786 190.625 190.625 31.558 77.262 3.745
## [2023] 31.981 12.519 15.484 6.450 9.192 942.161
## [2029] 942.161 220.776 32.797 1.950 1.741 2.993
## [2035] 5.213 0.571 1.231 17.485 625.879 5984.048
## [2041] 928.280 928.280 928.280 148.466 701.822 77.992
## [2047] 647.392 647.392 647.392 647.392 200.898 200.898
## [2053] 200.898 178.337 22.561 976.533 976.533 976.533
## [2059] 962.039 14.494 998.598 998.598 998.598 763.421
## [2065] 180.209 9.299 1.304 21.557 22.258 1911.952
## [2071] 1911.952 1911.952 441.887 35.616 348.828 7.529
## [2077] 1078.092 320.396 320.396 320.396 166.364 18.307
## [2083] 70.549 65.176 199.613 198.794 198.794 38.734
## [2089] 19.716 19.018 22.118 9.873 0.390 0.948
## [2095] 6.211 1.450 0.428 2.737 8.717 2.698
## [2101] 2.360 3.447 129.226 3.446 45.354 0.125
## [2107] 80.300 620.831 129.844 129.844 129.844 52.714
## [2113] 14.124 53.171 9.835 255.375 255.375 255.375
## [2119] 111.766 3.527 12.305 123.738 235.612 235.612
## [2125] 235.612 2.704 33.512 4.778 145.763 2.936
## [2131] 12245.476 8384.712 7570.597 7570.597 7341.128 5770.211
## [2137] 1197.814 265.329 107.774 229.469 196.928 22.341
## [2143] 527.904 527.904 527.904 189.231 20.144 10.710
## [2149] 307.820 77.929 77.929 77.929 51.018 26.912
## [2155] 208.282 208.282 208.282 40.946 5.541 161.795
## [2161] 3377.437 3377.437 3377.437 3377.437 423.977 2879.390
## [2167] 74.070 477.109 477.109 477.109 477.109 9.078
## [2173] 184.321 200.857 68.205 14.648 6.217 6.217
## [2179] 6.217 6.217 1.826 4.391 3698.909 25.854
## [2185] 24.794 12.905 12.905 10.612 1.060 1.038
## [2191] 1.038 1.038 33.596 11.947 11.947 11.947
## [2197] 1.986 3.303 2.847 0.435 2.558 9.727
## [2203] 9.727 9.727 3.335 5.986 1.570 1.570
## [2209] 1.570 1.570 9.433 9.433 9.433 3.293
## [2215] 1.756 4.384 1390.883 1388.173 1388.173 1388.173
## [2221] 325.906 106.678 18.193 4.159 30.225 90.977
## [2227] 766.052 2.326 2.326 2.326 2.326 2.239
## [2233] 320.314 11.720 5.405 5.405 0.446 4.377
## [2239] 6.314 6.314 6.314 135.118 133.798 133.798
## [2245] 127.080 1.321 1.321 1.321 9.011 9.011
## [2251] 9.011 4.736 150.618 150.618 150.618 29.071
## [2257] 55.508 18.753 17.337 0.207 0.207 0.207
## [2263] 0.207 13.640 13.640 13.640 7.930 0.631
## [2269] 1924.980 9.458 9.458 9.458 0.619 1723.072
## [2275] 1723.072 1723.072 810.336 26.300 2.757 660.415
## [2281] 107.626 115.638 192.450 192.450 192.450 66.336
## [2287] 126.113
mean(Mod(House_expen.data$Estimate))
## [1] 452.4574
## the mean of the complex vector is R452.46
##complex vector
Mod(House_expen.data$RSE)
## [1] 2.7 2.7 2.9 4.0 4.7 8.5 8.5 15.5 20.5 11.3 71.9 55.2
## [13] 56.1 6.5 6.5 6.5 7.1 7.1 7.7 12.5 47.5 12.7 12.7 40.4
## [25] 24.2 28.0 13.0 62.8 19.9 8.9 8.9 87.9 41.4 21.9 12.3 11.4
## [37] 23.7 19.3 19.3 52.4 85.3 48.1 32.6 64.6 94.1 53.5 25.1 61.7
## [49] 32.3 30.9 79.4 47.1 11.2 11.2 108.9 32.9 59.6 91.6 29.4 20.1
## [61] 29.5 71.9 48.1 59.2 32.8 18.0 10.7 10.7 56.5 49.2 36.3 18.4
## [73] 95.8 30.7 16.7 40.7 23.6 67.3 33.0 4.5 9.7 9.7 27.8 20.9
## [85] 75.5 12.4 28.1 12.7 32.7 8.3 8.3 8.7 35.2 18.0 14.0 50.3
## [97] 6.3 6.3 40.4 23.5 20.8 11.8 14.4 62.7 11.6 7.2 17.1 6.5
## [109] 9.2 30.1 9.6 21.4 40.5 27.2 49.2 59.0 8.1 18.2 21.3 9.5
## [121] 17.6 10.7 10.7 8.7 8.7 12.9 9.5 70.2 62.8 12.0 12.0 27.8
## [133] 21.0 17.0 50.4 30.7 30.7 39.6 56.0 53.4 55.8 7.7 9.6 40.9
## [145] 35.4 38.2 31.1 16.9 114.9 16.6 12.3 79.1 49.1 13.3 51.4 23.1
## [157] 30.6 19.5 39.8 52.9 23.3 60.0 31.0 14.5 26.6 27.4 53.6 125.8
## [169] 59.5 5.3 5.3 11.3 11.3 105.5 25.8 15.1 9.0 70.8 43.5 33.6
## [181] 43.8 13.1 13.1 53.4 17.6 39.8 21.4 86.7 32.9 36.3 75.7 15.2
## [193] 83.8 91.7 15.4 54.0 14.8 58.3 66.2 36.6 52.0 132.7 7.5 7.6
## [205] 24.0 7.9 17.2 80.1 38.9 61.3 34.2 62.1 106.4 79.4 16.7 16.7
## [217] 17.8 106.8 48.4 73.6 46.1 7.1 8.2 109.4 11.6 36.6 28.9 24.7
## [229] 40.5 20.7 21.3 12.8 12.9 25.0 31.0 9.9 76.7 22.2 14.7 13.8
## [241] 45.2 32.7 55.5 40.1 10.4 12.2 12.2 27.9 58.6 16.5 52.3 48.9
## [253] 26.7 45.3 45.3 80.7 38.1 72.3 67.6 49.9 10.0 15.8 75.2 35.9
## [265] 19.9 24.2 78.0 58.4 13.6 93.0 62.5 49.8 27.9 33.7 15.5 18.5
## [277] 47.7 67.6 61.0 33.2 35.9 3.3 4.2 4.9 4.9 13.2 10.4 24.1
## [289] 6.3 10.9 28.0 10.5 21.6 19.5 15.7 6.5 6.5 42.6 16.7 11.9
## [301] 10.0 11.4 7.2 21.3 36.9 36.9 53.2 74.0 47.0 16.7 39.5 7.7
## [313] 7.7 73.1 21.1 17.1 15.8 23.0 14.1 21.1 10.7 10.7 35.1 30.5
## [325] 26.3 24.9 16.8 23.5 10.0 10.0 70.1 15.5 36.8 39.3 22.1 21.4
## [337] 31.0 48.5 11.0 17.9 18.8 31.3 31.2 23.6 97.0 43.7 19.8 114.4
## [349] 91.7 78.6 22.8 122.0 47.1 39.7 55.7 74.0 86.4 13.0 38.3 21.0
## [361] 18.4 105.2 4.5 4.6 4.6 4.6 18.3 24.0 33.5 33.5 43.6 23.1
## [373] 6.7 6.7 6.7 7.7 7.7 30.5 8.7 28.1 20.1 15.7 17.8 14.5
## [385] 57.7 8.1 8.1 10.9 49.6 16.1 25.3 28.9 32.5 28.1 29.7 32.0
## [397] 6.5 6.5 6.5 70.1 7.8 10.6 10.6 10.6 10.2 10.2 11.8 96.8
## [409] 28.8 14.7 14.7 35.2 22.0 61.7 31.4 31.9 30.4 64.3 64.3 64.3
## [421] 6.9 15.5 15.5 23.9 40.4 42.3 59.9 23.7 49.8 25.9 76.7 52.3
## [433] 24.3 24.3 94.1 117.8 40.2 64.8 105.9 33.9 63.3 6.7 6.7 28.1
## [445] 48.0 21.4 21.1 19.3 9.5 48.0 27.6 12.8 42.6 12.9 25.4 27.6
## [457] 32.8 20.9 14.2 14.2 72.4 26.4 25.8 19.6 23.9 23.8 34.4 17.9
## [469] 17.9 18.9 45.0 44.0 44.0 48.8 99.1 101.0 6.1 9.6 9.6 25.3
## [481] 9.3 8.1 8.1 16.7 15.6 19.0 26.2 20.2 15.0 38.0 8.5 8.5
## [493] 25.8 11.2 12.6 50.3 54.9 12.1 12.1 22.6 12.6 7.1 7.1 11.4
## [505] 15.3 11.9 21.8 8.2 7.6 11.0 11.0 82.8 13.5 27.1 28.7 22.2
## [517] 90.1 23.7 16.1 32.3 56.5 13.6 13.6 16.4 21.1 103.1 10.5 10.5
## [529] 108.2 12.9 24.6 26.3 12.9 12.9 14.4 56.9 17.7 16.2 16.2 64.8
## [541] 19.8 73.0 30.5 30.2 30.2 30.1 8.6 12.8 30.4 101.3 23.6 17.1
## [553] 63.7 9.1 9.1 6.6 11.0 13.8 13.8 13.8 12.1 12.1 14.7 22.0
## [565] 23.2 23.2 26.1 43.6 6.4 7.7 7.7 7.7 15.2 15.2 15.2 9.1
## [577] 9.1 9.5 45.8 65.8 19.3 19.3 26.4 30.5 39.8 67.5 66.0 29.2
## [589] 29.2 29.2 18.8 18.8 21.8 23.8 68.6 8.0 8.2 8.2 8.2 21.2
## [601] 25.3 10.8 11.1 30.7 5.1 5.1 5.1 14.2 66.4 70.7 17.3 33.0
## [613] 15.5 17.6 9.3 14.8 14.5 68.6 22.1 52.2 61.8 23.6 10.9 14.4
## [625] 43.8 17.7 24.3 68.2 10.7 8.1 36.3 50.6 33.3 37.4 27.5 11.8
## [637] 20.2 182.7 182.7 182.7 6.9 7.5 10.1 10.6 10.6 10.6 18.4 18.4
## [649] 18.4 10.5 11.6 11.6 25.2 68.3 11.8 24.2 24.2 55.7 25.1 24.8
## [661] 26.7 26.7 33.4 65.0 33.7 42.1 42.1 75.3 51.7 55.0 18.9 18.9
## [673] 18.9 22.3 29.0 13.5 13.5 15.1 15.1 15.1 28.4 28.4 31.2 31.6
## [685] 58.5 56.6 56.6 107.0 39.0 9.4 10.1 15.4 15.4 54.9 54.9 40.2
## [697] 55.9 49.2 101.5 101.5 27.6 61.7 48.9 33.1 40.0 63.1 74.4 129.5
## [709] 51.8 64.3 55.2 55.2 30.0 80.1 52.2 43.3 38.3 22.6 28.7 57.8
## [721] 45.6 55.5 71.9 28.2 28.2 46.7 113.1 51.3 70.0 70.9 111.5 35.4
## [733] 44.3 47.8 44.7 117.0 72.2 65.5 34.6 102.6 49.7 45.6 68.6 78.4
## [745] 92.7 14.4 14.4 47.8 47.8 32.1 37.8 56.7 37.8 58.6 45.9 22.1
## [757] 52.4 43.8 27.3 57.3 95.7 93.1 162.7 66.4 28.0 63.0 38.6 56.8
## [769] 32.7 26.0 35.1 47.1 68.3 75.4 18.8 37.3 97.9 47.5 56.3 66.6
## [781] 89.7 87.1 109.6 50.1 96.6 92.7 90.0 96.7 28.4 125.9 125.9 99.2
## [793] 77.1 80.8 50.3 52.5 58.8 87.1 38.3 55.1 109.8 62.7 93.5 93.5
## [805] 34.8 34.8 56.4 68.2 145.2 50.7 98.1 75.3 93.8 78.4 20.3 20.3
## [817] 20.3 32.6 55.1 63.9 38.2 54.8 37.0 37.0 37.0 73.0 92.3 101.9
## [829] 61.8 94.4 72.8 97.5 66.1 100.2 82.0 99.5 35.3 35.3 35.3 43.3
## [841] 43.3 69.3 16.7 25.0 25.0 25.0 33.4 79.3 71.8 50.0 54.5 54.5
## [853] 54.5 70.3 95.6 96.2 96.9 29.1 29.1 29.1 37.4 74.8 78.0 78.3
## [865] 43.2 43.2 43.2 66.4 61.9 115.7 40.6 40.6 40.6 94.3 62.3 63.8
## [877] 4.9 6.4 6.4 6.5 6.5 85.1 6.5 96.3 49.2 49.2 89.4 58.3
## [889] 26.8 26.8 26.8 18.1 49.0 94.0 13.4 8.4 8.4 8.4 9.1 22.5
## [901] 57.6 56.1 26.3 26.3 54.5 65.3 87.7 136.2 118.9 138.9 78.2 113.3
## [913] 87.6 80.9 73.5 116.7 139.4 48.9 69.4 40.9 64.0 98.2 54.7 91.3
## [925] 64.4 119.1 83.2 24.4 92.0 37.0 107.0 30.9 109.2 108.6 89.0 35.0
## [937] 35.0 35.0 62.0 64.1 84.4 74.9 90.9 77.3 36.1 36.3 52.6 91.6
## [949] 50.2 34.1 75.6 54.9 55.5 44.1 82.0 105.6 95.6 55.5 16.8 27.3
## [961] 27.3 145.7 144.5 99.9 85.2 95.7 43.0 63.0 73.0 88.9 90.8 69.8
## [973] 105.5 48.0 70.0 138.3 34.7 56.6 49.5 91.8 66.5 40.0 105.2 47.1
## [985] 99.1 111.3 121.6 138.9 80.9 32.1 90.5 35.1 74.9 86.7 98.3 91.4
## [997] 128.9 82.1 21.0 21.0 21.0 57.8 68.4 104.5 77.8 47.2 46.1 23.2
## [1009] 54.0 64.9 114.7 29.9 31.3 145.4 96.2 74.2 45.4 88.5 30.6 45.7
## [1021] 66.7 74.8 60.5 4.2 7.7 7.7 7.7 7.7 21.3 21.3 21.3 49.3
## [1033] 19.0 33.7 4.5 4.5 4.5 6.6 20.9 31.6 55.8 10.2 44.4 54.1
## [1045] 54.1 54.1 54.1 2.6 3.1 3.1 3.1 3.1 8.8 13.9 13.9 13.9
## [1057] 11.8 11.8 11.8 12.4 12.4 12.4 58.3 11.7 81.4 81.4 81.4 81.4
## [1069] 14.5 14.5 14.5 14.9 65.5 36.5 95.6 34.3 34.3 34.3 34.3 47.8
## [1081] 50.1 37.8 7.7 14.2 16.2 16.2 16.2 38.1 65.1 65.4 51.4 56.9
## [1093] 46.1 121.2 39.4 51.0 43.0 99.0 22.8 90.4 67.1 50.9 72.1 68.7
## [1105] 107.7 70.8 37.6 96.1 50.2 37.2 74.3 100.7 91.2 125.9 54.6 27.9
## [1117] 49.9 177.4 89.6 25.6 156.6 28.1 28.1 28.1 31.9 45.3 144.7 49.5
## [1129] 98.1 105.0 105.0 105.0 149.9 117.3 17.4 17.4 17.4 17.4 101.3 111.3
## [1141] 44.6 32.4 45.0 38.4 74.8 88.7 67.4 25.0 77.8 17.9 21.1 15.0
## [1153] 15.0 46.7 42.2 103.3 26.5 26.0 44.0 14.6 14.6 38.7 25.6 17.5
## [1165] 39.7 58.9 19.7 19.7 30.8 23.4 35.7 66.4 89.4 20.4 20.4 64.1
## [1177] 87.3 113.2 46.6 94.6 27.5 97.3 39.7 89.7 89.7 89.7 166.7 166.7
## [1189] 94.9 63.5 41.1 41.1 41.1 86.5 79.8 91.6 116.3 70.1 92.1 57.1
## [1201] 65.4 65.4 65.4 72.3 40.6 15.7 15.7 28.2 28.2 62.6 40.3 60.7
## [1213] 63.2 84.4 59.2 105.2 18.0 18.0 102.5 106.1 67.2 119.2 90.6 62.3
## [1225] 37.7 32.0 28.2 38.5 92.4 106.6 65.9 48.2 81.6 72.0 59.5 13.7
## [1237] 19.9 19.9 19.9 122.0 36.5 17.3 39.4 55.3 78.3 17.5 17.5 17.5
## [1249] 88.0 66.9 72.9 28.1 21.5 38.0 48.1 52.6 97.1 130.4 39.6 81.6
## [1261] 56.7 92.3 114.9 49.4 61.8 14.2 8.7 10.5 10.5 85.5 28.4 12.5
## [1273] 25.6 13.3 54.8 115.6 19.5 52.0 58.9 25.0 38.3 28.8 11.1 11.1
## [1285] 44.2 55.1 94.3 25.3 45.7 27.8 21.3 73.2 51.6 83.1 41.4 42.6
## [1297] 60.4 30.4 14.7 57.0 19.9 105.9 112.1 36.2 81.3 42.0 34.1 43.5
## [1309] 29.7 29.7 29.7 41.4 39.0 62.1 87.8 108.9 44.6 79.1 148.0 10.3
## [1321] 16.2 11.5 11.5 11.5 24.1 20.3 90.6 84.0 18.3 39.9 58.2 39.3
## [1333] 22.5 59.9 49.3 32.4 70.4 77.6 48.5 81.4 42.7 23.7 56.6 75.4
## [1345] 65.8 82.4 62.2 62.2 62.2 33.4 116.5 80.2 90.2 46.9 46.9 46.9
## [1357] 60.8 83.7 85.0 135.5 11.5 13.5 13.5 13.5 18.6 33.0 45.0 72.8
## [1369] 23.3 29.5 33.1 66.3 64.4 56.8 40.4 20.5 20.5 20.5 20.8 60.1
## [1381] 39.9 34.9 34.9 74.0 39.9 70.4 104.9 104.9 104.9 104.9 116.3 5.4
## [1393] 10.8 21.7 21.7 21.7 27.3 39.1 82.4 12.4 12.4 12.4 15.9 23.1
## [1405] 80.7 39.4 39.4 39.4 56.2 97.1 77.4 75.2 26.4 26.4 26.4 51.8
## [1417] 29.8 4.2 17.7 17.7 17.7 85.5 113.1 62.7 76.7 56.5 10.9 79.4
## [1429] 75.6 78.6 83.9 32.6 26.9 36.3 24.1 70.9 69.4 88.2 88.8 128.2
## [1441] 120.2 51.8 4.9 4.9 4.9 4.9 16.6 16.6 16.6 105.8 19.3 86.7
## [1453] 40.4 94.8 82.7 11.1 11.1 11.1 77.6 82.3 22.3 128.7 37.2 22.1
## [1465] 77.2 40.9 52.8 41.2 29.4 27.7 98.5 54.1 43.2 34.6 53.1 127.6
## [1477] 53.9 31.8 6.1 6.1 6.1 60.7 4.3 27.5 15.5 80.2 18.1 63.4
## [1489] 76.0 80.9 57.9 9.9 50.3 50.3 50.3 55.6 125.8 12.5 12.5 12.5
## [1501] 27.4 19.2 63.1 19.6 79.6 133.6 14.1 14.1 14.1 14.1 11.9 11.9
## [1513] 15.9 96.4 27.6 27.0 59.1 25.4 54.2 20.7 56.5 91.8 47.9 25.1
## [1525] 75.1 75.1 84.7 84.7 25.0 29.6 74.5 42.1 51.2 51.2 125.5 125.5
## [1537] 27.8 38.6 51.6 48.8 51.8 51.8 83.9 83.9 83.9 95.6 20.4 20.4
## [1549] 20.4 99.9 18.5 9.0 41.0 41.0 41.0 41.0 25.8 46.4 73.4 66.3
## [1561] 66.3 66.3 66.3 69.0 3.2 3.2 3.2 3.2 17.6 15.3 13.2 8.3
## [1573] 5.4 6.1 43.0 56.9 44.3 20.1 8.2 12.6 17.8 18.0 18.0 47.3
## [1585] 66.3 145.8 17.1 78.7 92.9 91.6 58.0 65.5 58.0 70.3 88.2 99.5
## [1597] 78.3 17.5 17.5 17.5 47.4 52.8 19.9 27.9 63.1 96.2 22.5 66.1
## [1609] 85.2 27.2 27.2 27.2 48.5 50.5 28.4 73.3 85.6 61.9 61.9 61.9
## [1621] 24.8 78.1 33.1 33.1 40.8 40.8 139.7 115.2 116.6 83.7 64.8 56.5
## [1633] 35.3 35.3 165.8 80.5 49.6 147.8 57.9 83.3 144.0 144.0 144.0 98.2
## [1645] 98.2 17.3 18.4 18.4 18.4 31.0 20.0 69.1 120.6 47.2 136.2 60.7
## [1657] 57.7 56.8 50.1 98.5 87.0 65.2 58.3 53.0 65.1 51.4 30.8 54.0
## [1669] 60.0 60.0 106.1 54.9 103.6 67.9 90.7 40.5 75.5 86.5 51.7 112.5
## [1681] 59.3 88.8 74.7 72.0 43.7 119.9 94.3 36.4 43.7 91.4 66.2 72.7
## [1693] 72.7 79.7 16.0 16.0 16.0 86.7 37.1 85.5 60.3 28.3 56.5 25.5
## [1705] 74.1 30.8 49.6 34.2 72.0 36.9 99.9 145.8 131.0 87.9 44.9 14.8
## [1717] 126.9 126.9 11.2 11.2 28.5 14.8 17.0 50.4 24.4 46.5 45.7 46.0
## [1729] 49.3 49.3 124.2 120.8 39.3 35.7 103.7 60.8 59.8 59.8 65.5 144.4
## [1741] 61.5 98.8 7.7 11.5 11.5 34.6 71.1 61.4 54.0 76.5 9.1 31.8
## [1753] 79.4 17.8 9.5 112.4 38.6 42.9 40.4 120.5 59.7 86.5 117.6 72.7
## [1765] 19.3 96.9 34.6 32.9 58.8 78.6 88.3 91.4 79.2 66.4 92.4 54.1
## [1777] 56.7 72.1 84.2 89.9 10.5 23.9 23.9 27.1 42.6 120.5 79.3 68.0
## [1789] 62.2 76.8 81.3 92.2 66.0 108.0 43.9 46.8 6.4 6.8 6.8 62.7
## [1801] 70.7 19.6 36.1 67.4 40.8 70.7 75.1 19.7 38.4 99.9 87.8 108.2
## [1813] 45.1 22.8 112.9 62.9 69.4 52.3 68.6 31.1 31.1 31.1 41.2 53.8
## [1825] 47.7 15.4 15.4 15.4 81.8 83.7 11.8 55.0 126.1 53.1 12.1 20.5
## [1837] 20.5 20.5 31.9 80.1 69.5 58.1 45.8 120.6 39.9 56.3 23.5 23.5
## [1849] 23.5 32.1 22.2 18.7 18.7 18.7 67.2 17.5 15.5 15.5 15.5 47.4
## [1861] 87.3 50.1 93.4 65.9 42.8 41.1 50.3 44.6 70.8 51.2 80.7 56.4
## [1873] 96.0 90.9 60.9 108.2 51.5 121.0 74.1 113.7 77.3 98.9 57.5 51.5
## [1885] 98.2 59.6 75.3 20.6 20.6 17.4 17.4 39.8 26.2 63.5 30.1 29.5
## [1897] 59.7 42.1 25.9 25.9 25.9 55.9 55.9 56.6 56.6 56.6 17.2 18.9
## [1909] 18.9 18.9 24.1 22.6 59.2 29.5 29.5 24.6 24.6 30.3 30.3 34.2
## [1921] 84.6 79.1 40.5 40.5 23.8 67.6 41.2 41.2 41.2 41.2 39.1 61.5
## [1933] 109.8 122.6 67.5 67.5 67.5 67.5 109.6 52.2 51.3 4.3 11.1 21.6
## [1945] 21.6 21.6 14.2 61.0 114.9 95.1 36.0 62.2 62.2 62.2 71.7 79.4
## [1957] 7.5 17.9 17.9 58.9 106.0 38.1 28.9 17.8 96.7 77.5 11.1 11.1
## [1969] 138.5 14.1 13.8 60.6 19.0 18.3 46.1 66.8 19.5 15.2 15.2 70.5
## [1981] 34.7 38.2 18.3 60.2 47.6 56.3 57.1 37.2 40.8 44.7 72.3 27.5
## [1993] 64.2 69.3 6.4 6.4 16.8 16.3 79.1 7.6 15.1 12.2 71.1 12.5
## [2005] 42.7 42.7 42.7 74.8 108.3 99.7 54.9 48.5 158.9 65.1 82.3 155.2
## [2017] 12.1 29.1 29.1 67.9 57.5 94.5 83.8 16.0 60.2 81.6 69.8 14.5
## [2029] 14.5 35.7 65.1 78.6 91.7 47.9 99.2 100.3 116.9 58.3 17.0 3.9
## [2041] 8.3 8.3 8.3 27.2 10.4 36.7 9.3 9.3 9.3 9.3 11.2 11.2
## [2053] 11.2 10.3 49.9 11.3 11.3 11.3 11.4 65.8 5.2 5.2 5.2 6.3
## [2065] 13.8 32.7 77.2 30.3 36.9 6.1 6.1 6.1 13.7 28.9 14.3 103.8
## [2077] 9.1 12.4 12.4 12.4 16.2 43.9 24.6 30.1 9.5 9.6 9.6 32.5
## [2089] 40.2 53.1 24.6 39.3 78.1 102.6 40.6 72.3 54.4 51.2 49.0 109.3
## [2101] 44.8 62.4 7.2 47.6 10.5 165.4 9.6 30.3 17.4 17.4 17.4 19.0
## [2113] 37.9 31.5 111.8 64.7 64.7 64.7 123.0 108.1 68.7 76.3 32.5 32.5
## [2125] 32.5 102.3 58.2 59.6 46.5 92.5 6.2 7.8 8.4 8.4 8.4 7.9
## [2137] 23.9 46.2 66.0 41.8 40.5 120.0 21.2 21.2 21.2 21.7 48.9 45.0
## [2149] 35.0 31.5 31.5 31.5 41.5 37.5 16.0 16.0 16.0 45.7 48.4 17.8
## [2161] 8.1 8.1 8.1 8.1 36.7 7.1 78.9 38.3 38.3 38.3 38.3 63.6
## [2173] 82.5 38.3 101.1 61.2 61.7 61.7 61.7 61.7 117.4 69.9 27.9 57.1
## [2185] 59.9 63.6 63.6 73.6 122.2 125.2 125.2 125.2 45.6 35.5 35.5 35.5
## [2197] 80.7 71.8 59.9 109.6 67.2 133.2 133.2 133.2 96.1 166.4 153.6 153.6
## [2209] 153.6 153.6 76.0 76.0 76.0 92.0 101.6 141.9 20.0 19.9 19.9 19.9
## [2221] 27.4 55.0 75.7 77.7 98.2 60.2 30.9 80.0 80.0 80.0 80.0 83.2
## [2233] 39.9 69.9 116.2 116.2 115.6 140.7 81.2 81.2 81.2 68.2 68.9 68.9
## [2245] 71.3 134.5 134.5 134.5 98.3 98.3 98.3 75.7 51.7 51.7 51.7 128.9
## [2257] 76.9 141.9 103.3 93.2 93.2 93.2 93.2 68.1 68.1 68.1 63.3 100.9
## [2269] 51.2 135.0 135.0 135.0 95.9 57.3 57.3 57.3 118.0 67.9 126.9 51.0
## [2281] 41.1 86.0 29.1 29.1 29.1 59.6 33.2
mean(Mod(House_expen.data$RSE))
## [1] 48.2223
##the mean of the RSE IS 48.22
sd(Mod(House_expen.data$RSE))
## [1] 34.48947
## STANDARD DEV IS 34.489
sd(Mod(House_expen.data$Estimate))
## [1] 3945.249
## THE STANDARD DEV IS R3945.24##
##THAT IS THE AVARAGE HOUSEHOLD EXPENDITURE IS AROUND R452.46 WITH A VARIATION OF ABOUT R3945.249
##FOR THE COMPLEX VECTOR AND AROUND R433.189 WITH A VARIATION OF ABOUT R3947.412
var(House_expen.data$Estimate,House_expen.data$RSE)
## [1] -16367.19
# THE VARIANCE IS R16367.19
plot(var(House_expen.data$Estimate,House_expen.data$RSE),col="red",
main="Variance of Estimate as a fun of RSE",pch=19)
plot(sd(House_expen.data$Estimate),col="red",main = "STANDARD DEVIATION OF ESTIMATE",pch=19)
describe(House_expen.data$Estimate)
## vars n mean sd median trimmed mad min max range
## X1 1 2287 433.19 3947.41 31.2 85.11 43.26 -3698.91 127302.6 131001.5
## skew kurtosis se
## X1 28.25 880.61 82.54
plot(sd(Mod(House_expen.data$RSE)),col="blue",main = "STANDARD DEV OF RSE",pch=19)
describe(House_expen.data$RSE)
## vars n mean sd median trimmed mad min max range skew kurtosis
## X1 1 2287 48.22 34.49 40.6 44.42 35.14 2.6 182.7 180.1 0.9 0.36
## se
## X1 0.72