R version 3.0.2 (2013-09-25) -- "Frisbee Sailing" Copyright (C) 2013 The R Foundation for Statistical Computing Platform: i686-pc-linux-gnu (32-bit) R is free software and comes with ABSOLUTELY NO WARRANTY. You are welcome to redistribute it under certain conditions. Type 'license()' or 'licence()' for distribution details. R is a collaborative project with many contributors. Type 'contributors()' for more information and 'citation()' on how to cite R or R packages in publications. Type 'demo()' for some demos, 'help()' for on-line help, or 'help.start()' for an HTML browser interface to help. Type 'q()' to quit R. > x <- array(list(12 + ,14 + ,11 + ,18 + ,14 + ,11 + ,12 + ,12 + ,21 + ,16 + ,12 + ,18 + ,22 + ,14 + ,11 + ,14 + ,10 + ,15 + ,13 + ,15 + ,10 + ,17 + ,8 + ,19 + ,15 + ,10 + ,14 + ,16 + ,10 + ,18 + ,14 + ,14 + ,14 + ,14 + ,11 + ,17 + ,10 + ,14 + ,13 + ,16 + ,9.5 + ,18 + ,14 + ,11 + ,12 + ,14 + ,14 + ,12 + ,11 + ,17 + ,9 + ,9 + ,11 + ,16 + ,15 + ,14 + ,14 + ,15 + ,13 + ,11 + ,9 + ,16 + ,15 + ,13 + ,10 + ,17 + ,11 + ,15 + ,13 + ,14 + ,8 + ,16 + ,20 + ,9 + ,12 + ,15 + ,10 + ,17 + ,10 + ,13 + ,9 + ,15 + ,14 + ,16 + ,8 + ,16 + ,14 + ,12 + ,11 + ,15 + ,13 + ,11 + ,9 + ,15 + ,11 + ,15 + ,15 + ,17 + ,11 + ,13 + ,10 + ,16 + ,14 + ,14 + ,18 + ,11 + ,14 + ,12 + ,11 + ,12 + ,14.5 + ,15 + ,13 + ,16 + ,9 + ,15 + ,10 + ,12 + ,15 + ,12 + ,20 + ,8 + ,12 + ,13 + ,12 + ,11 + ,14 + ,14 + ,13 + ,15 + ,11 + ,10 + ,17 + ,11 + ,12 + ,12 + ,13 + ,15 + ,14 + ,15 + ,13 + ,14 + ,15 + ,16 + ,13 + ,15 + ,10 + ,15 + ,11 + ,13 + ,19 + ,12 + ,13 + ,17 + ,17 + ,13 + ,13 + ,15 + ,9 + ,13 + ,11 + ,15 + ,9 + ,15 + ,12 + ,16 + ,12 + ,15 + ,13 + ,14 + ,13 + ,15 + ,12 + ,14 + ,15 + ,13 + ,22 + ,7 + ,13 + ,17 + ,15 + ,13 + ,13 + ,15 + ,15 + ,14 + ,12.5 + ,13 + ,11 + ,16 + ,16 + ,12 + ,11 + ,14 + ,11 + ,17 + ,10 + ,15 + ,10 + ,17 + ,16 + ,12 + ,12 + ,16 + ,11 + ,11 + ,16 + ,15 + ,19 + ,9 + ,11 + ,16 + ,16 + ,15 + ,15 + ,10 + ,24 + ,10 + ,14 + ,15 + ,15 + ,11 + ,11 + ,13 + ,15 + ,14 + ,12 + ,18 + ,10 + ,16 + ,14 + ,14 + ,13 + ,14 + ,9 + ,14 + ,15 + ,14 + ,15 + ,12 + ,14 + ,14 + ,11 + ,15 + ,8 + ,15 + ,11 + ,15 + ,11 + ,13 + ,8 + ,17 + ,10 + ,17 + ,11 + ,19 + ,13 + ,15 + ,11 + ,13 + ,20 + ,9 + ,10 + ,15 + ,15 + ,15 + ,12 + ,15 + ,14 + ,16 + ,23 + ,11 + ,14 + ,14 + ,16 + ,11 + ,11 + ,15 + ,12 + ,13 + ,10 + ,15 + ,14 + ,16 + ,12 + ,14 + ,12 + ,15 + ,11 + ,16 + ,12 + ,16 + ,13 + ,11 + ,11 + ,12 + ,19 + ,9 + ,12 + ,16 + ,17 + ,13 + ,9 + ,16 + ,12 + ,12 + ,19 + ,9 + ,18 + ,13 + ,15 + ,13 + ,14 + ,14 + ,11 + ,19 + ,9 + ,13 + ,18 + ,12 + ,16 + ,13 + ,24 + ,10 + ,14 + ,14 + ,20 + ,16 + ,18 + ,10 + ,23 + ,11 + ,12 + ,14 + ,14 + ,12 + ,16 + ,9 + ,18 + ,9 + ,20 + ,11 + ,12 + ,16 + ,12 + ,9 + ,17 + ,13 + ,13 + ,16 + ,9 + ,13 + ,16 + ,9 + ,18 + ,12 + ,10 + ,16 + ,14 + ,11 + ,11 + ,14 + ,9 + ,13 + ,11 + ,15 + ,10 + ,14 + ,11 + ,16 + ,19 + ,13 + ,14 + ,14 + ,12 + ,15 + ,14 + ,13 + ,21 + ,11 + ,13 + ,11 + ,10 + ,14 + ,15 + ,15 + ,16 + ,11 + ,14 + ,15 + ,12 + ,12 + ,19 + ,14 + ,15 + ,14 + ,19 + ,8 + ,13 + ,13 + ,17 + ,9 + ,12 + ,15 + ,11 + ,17 + ,14 + ,13 + ,11 + ,15 + ,13 + ,15 + ,12 + ,14 + ,15 + ,16 + ,14 + ,13 + ,12 + ,16 + ,17 + ,9 + ,11 + ,16 + ,18 + ,11 + ,13 + ,10 + ,17 + ,11 + ,13 + ,15 + ,11 + ,17 + ,12 + ,14 + ,22 + ,8 + ,14 + ,15 + ,12 + ,11 + ,12 + ,16 + ,17 + ,10 + ,9 + ,15 + ,21 + ,9 + ,10 + ,16 + ,11 + ,19 + ,12 + ,12 + ,23 + ,8 + ,13 + ,11 + ,12 + ,14 + ,16 + ,9 + ,9 + ,15 + ,17 + ,13 + ,9 + ,16 + ,14 + ,11 + ,17 + ,12 + ,13 + ,13 + ,11 + ,10 + ,12 + ,11 + ,10 + ,12 + ,19 + ,8 + ,16 + ,12 + ,16 + ,12 + ,14 + ,15 + ,20 + ,11 + ,15 + ,13 + ,23 + ,14 + ,20 + ,10 + ,16 + ,12 + ,14 + ,15 + ,17 + ,13 + ,11 + ,13 + ,13 + ,13 + ,17 + ,12 + ,15 + ,12 + ,21 + ,9 + ,18 + ,9 + ,15 + ,15 + ,8 + ,10 + ,12 + ,14 + ,12 + ,15 + ,22 + ,7 + ,12 + ,14) + ,dim=c(2 + ,264) + ,dimnames=list(c('Depression' + ,'Happiness') + ,1:264)) > y <- array(NA,dim=c(2,264),dimnames=list(c('Depression','Happiness'),1:264)) > for (i in 1:dim(x)[1]) + { + for (j in 1:dim(x)[2]) + { + y[i,j] <- as.numeric(x[i,j]) + } + } > par3 = 'No Linear Trend' > par2 = 'Do not include Seasonal Dummies' > par1 = '1' > par3 <- 'No Linear Trend' > par2 <- 'Do not include Seasonal Dummies' > par1 <- '1' > library(lattice) > library(lmtest) Loading required package: zoo Attaching package: 'zoo' The following objects are masked from 'package:base': as.Date, as.Date.numeric > n25 <- 25 #minimum number of obs. for Goldfeld-Quandt test > par1 <- as.numeric(par1) > x <- t(y) > k <- length(x[1,]) > n <- length(x[,1]) > x1 <- cbind(x[,par1], x[,1:k!=par1]) > mycolnames <- c(colnames(x)[par1], colnames(x)[1:k!=par1]) > colnames(x1) <- mycolnames #colnames(x)[par1] > x <- x1 > if (par3 == 'First Differences'){ + x2 <- array(0, dim=c(n-1,k), dimnames=list(1:(n-1), paste('(1-B)',colnames(x),sep=''))) + for (i in 1:n-1) { + for (j in 1:k) { + x2[i,j] <- x[i+1,j] - x[i,j] + } + } + x <- x2 + } > if (par2 == 'Include Monthly Dummies'){ + x2 <- array(0, dim=c(n,11), dimnames=list(1:n, paste('M', seq(1:11), sep =''))) + for (i in 1:11){ + x2[seq(i,n,12),i] <- 1 + } + x <- cbind(x, x2) + } > if (par2 == 'Include Quarterly Dummies'){ + x2 <- array(0, dim=c(n,3), dimnames=list(1:n, paste('Q', seq(1:3), sep =''))) + for (i in 1:3){ + x2[seq(i,n,4),i] <- 1 + } + x <- cbind(x, x2) + } > k <- length(x[1,]) > if (par3 == 'Linear Trend'){ + x <- cbind(x, c(1:n)) + colnames(x)[k+1] <- 't' + } > x Depression Happiness 1 12.0 14 2 11.0 18 3 14.0 11 4 12.0 12 5 21.0 16 6 12.0 18 7 22.0 14 8 11.0 14 9 10.0 15 10 13.0 15 11 10.0 17 12 8.0 19 13 15.0 10 14 14.0 16 15 10.0 18 16 14.0 14 17 14.0 14 18 11.0 17 19 10.0 14 20 13.0 16 21 9.5 18 22 14.0 11 23 12.0 14 24 14.0 12 25 11.0 17 26 9.0 9 27 11.0 16 28 15.0 14 29 14.0 15 30 13.0 11 31 9.0 16 32 15.0 13 33 10.0 17 34 11.0 15 35 13.0 14 36 8.0 16 37 20.0 9 38 12.0 15 39 10.0 17 40 10.0 13 41 9.0 15 42 14.0 16 43 8.0 16 44 14.0 12 45 11.0 15 46 13.0 11 47 9.0 15 48 11.0 15 49 15.0 17 50 11.0 13 51 10.0 16 52 14.0 14 53 18.0 11 54 14.0 12 55 11.0 12 56 14.5 15 57 13.0 16 58 9.0 15 59 10.0 12 60 15.0 12 61 20.0 8 62 12.0 13 63 12.0 11 64 14.0 14 65 13.0 15 66 11.0 10 67 17.0 11 68 12.0 12 69 13.0 15 70 14.0 15 71 13.0 14 72 15.0 16 73 13.0 15 74 10.0 15 75 11.0 13 76 19.0 12 77 13.0 17 78 17.0 13 79 13.0 15 80 9.0 13 81 11.0 15 82 9.0 15 83 12.0 16 84 12.0 15 85 13.0 14 86 13.0 15 87 12.0 14 88 15.0 13 89 22.0 7 90 13.0 17 91 15.0 13 92 13.0 15 93 15.0 14 94 12.5 13 95 11.0 16 96 16.0 12 97 11.0 14 98 11.0 17 99 10.0 15 100 10.0 17 101 16.0 12 102 12.0 16 103 11.0 11 104 16.0 15 105 19.0 9 106 11.0 16 107 16.0 15 108 15.0 10 109 24.0 10 110 14.0 15 111 15.0 11 112 11.0 13 113 15.0 14 114 12.0 18 115 10.0 16 116 14.0 14 117 13.0 14 118 9.0 14 119 15.0 14 120 15.0 12 121 14.0 14 122 11.0 15 123 8.0 15 124 11.0 15 125 11.0 13 126 8.0 17 127 10.0 17 128 11.0 19 129 13.0 15 130 11.0 13 131 20.0 9 132 10.0 15 133 15.0 15 134 12.0 15 135 14.0 16 136 23.0 11 137 14.0 14 138 16.0 11 139 11.0 15 140 12.0 13 141 10.0 15 142 14.0 16 143 12.0 14 144 12.0 15 145 11.0 16 146 12.0 16 147 13.0 11 148 11.0 12 149 19.0 9 150 12.0 16 151 17.0 13 152 9.0 16 153 12.0 12 154 19.0 9 155 18.0 13 156 15.0 13 157 14.0 14 158 11.0 19 159 9.0 13 160 18.0 12 161 16.0 13 162 24.0 10 163 14.0 14 164 20.0 16 165 18.0 10 166 23.0 11 167 12.0 14 168 14.0 12 169 16.0 9 170 18.0 9 171 20.0 11 172 12.0 16 173 12.0 9 174 17.0 13 175 13.0 16 176 9.0 13 177 16.0 9 178 18.0 12 179 10.0 16 180 14.0 11 181 11.0 14 182 9.0 13 183 11.0 15 184 10.0 14 185 11.0 16 186 19.0 13 187 14.0 14 188 12.0 15 189 14.0 13 190 21.0 11 191 13.0 11 192 10.0 14 193 15.0 15 194 16.0 11 195 14.0 15 196 12.0 12 197 19.0 14 198 15.0 14 199 19.0 8 200 13.0 13 201 17.0 9 202 12.0 15 203 11.0 17 204 14.0 13 205 11.0 15 206 13.0 15 207 12.0 14 208 15.0 16 209 14.0 13 210 12.0 16 211 17.0 9 212 11.0 16 213 18.0 11 214 13.0 10 215 17.0 11 216 13.0 15 217 11.0 17 218 12.0 14 219 22.0 8 220 14.0 15 221 12.0 11 222 12.0 16 223 17.0 10 224 9.0 15 225 21.0 9 226 10.0 16 227 11.0 19 228 12.0 12 229 23.0 8 230 13.0 11 231 12.0 14 232 16.0 9 233 9.0 15 234 17.0 13 235 9.0 16 236 14.0 11 237 17.0 12 238 13.0 13 239 11.0 10 240 12.0 11 241 10.0 12 242 19.0 8 243 16.0 12 244 16.0 12 245 14.0 15 246 20.0 11 247 15.0 13 248 23.0 14 249 20.0 10 250 16.0 12 251 14.0 15 252 17.0 13 253 11.0 13 254 13.0 13 255 17.0 12 256 15.0 12 257 21.0 9 258 18.0 9 259 15.0 15 260 8.0 10 261 12.0 14 262 12.0 15 263 22.0 7 264 12.0 14 > k <- length(x[1,]) > df <- as.data.frame(x) > (mylm <- lm(df)) Call: lm(formula = df) Coefficients: (Intercept) Happiness 24.5485 -0.8094 > (mysum <- summary(mylm)) Call: lm(formula = df) Residuals: Min 1Q Median 3Q Max -8.454 -1.609 -0.002 1.593 9.784 Coefficients: Estimate Std. Error t value Pr(>|t|) (Intercept) 24.5485 0.9577 25.63 <2e-16 *** Happiness -0.8095 0.0697 -11.61 <2e-16 *** --- Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 Residual standard error: 2.824 on 262 degrees of freedom Multiple R-squared: 0.3398, Adjusted R-squared: 0.3373 F-statistic: 134.9 on 1 and 262 DF, p-value: < 2.2e-16 > if (n > n25) { + kp3 <- k + 3 + nmkm3 <- n - k - 3 + gqarr <- array(NA, dim=c(nmkm3-kp3+1,3)) + numgqtests <- 0 + numsignificant1 <- 0 + numsignificant5 <- 0 + numsignificant10 <- 0 + for (mypoint in kp3:nmkm3) { + j <- 0 + numgqtests <- numgqtests + 1 + for (myalt in c('greater', 'two.sided', 'less')) { + j <- j + 1 + gqarr[mypoint-kp3+1,j] <- gqtest(mylm, point=mypoint, alternative=myalt)$p.value + } + if (gqarr[mypoint-kp3+1,2] < 0.01) numsignificant1 <- numsignificant1 + 1 + if (gqarr[mypoint-kp3+1,2] < 0.05) numsignificant5 <- numsignificant5 + 1 + if (gqarr[mypoint-kp3+1,2] < 0.10) numsignificant10 <- numsignificant10 + 1 + } + gqarr + } 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0.892559769 [122,] 0.10837424 0.216748484 0.891625758 [123,] 0.09426498 0.188529961 0.905735020 [124,] 0.08492841 0.169856812 0.915071594 [125,] 0.07268643 0.145372869 0.927313565 [126,] 0.07362371 0.147247421 0.926376289 [127,] 0.07732965 0.154659297 0.922670351 [128,] 0.07393289 0.147865782 0.926067109 [129,] 0.07240487 0.144809744 0.927595128 [130,] 0.06128447 0.122568946 0.938715527 [131,] 0.05832648 0.116652955 0.941673523 [132,] 0.15254386 0.305087717 0.847456142 [133,] 0.13442161 0.268843223 0.865578389 [134,] 0.11714259 0.234285171 0.882857415 [135,] 0.10467983 0.209359663 0.895320169 [136,] 0.09686091 0.193721811 0.903139095 [137,] 0.09296237 0.185924737 0.907037632 [138,] 0.08860207 0.177204132 0.911397934 [139,] 0.07764808 0.155296165 0.922351917 [140,] 0.06592286 0.131845728 0.934077136 [141,] 0.05589985 0.111799696 0.944100152 [142,] 0.04678423 0.093568458 0.953215771 [143,] 0.04532450 0.090649008 0.954675496 [144,] 0.05240983 0.104819651 0.947590174 [145,] 0.04791452 0.095829049 0.952085475 [146,] 0.03985763 0.079715258 0.960142371 [147,] 0.04088285 0.081765702 0.959117149 [148,] 0.04005125 0.080102498 0.959948751 [149,] 0.04003146 0.080062919 0.959968541 [150,] 0.03613676 0.072273516 0.963863242 [151,] 0.04342449 0.086848985 0.956575507 [152,] 0.03673187 0.073463740 0.963268130 [153,] 0.03059985 0.061199697 0.969400151 [154,] 0.02683872 0.053677440 0.973161280 [155,] 0.04108915 0.082178295 0.958910852 [156,] 0.04305764 0.086115282 0.956942359 [157,] 0.03893950 0.077878995 0.961060502 [158,] 0.11005192 0.220103831 0.889948084 [159,] 0.09509925 0.190198506 0.904900747 [160,] 0.26438244 0.528764888 0.735617556 [161,] 0.24375711 0.487514229 0.756242886 [162,] 0.42621083 0.852421667 0.573789167 [163,] 0.39729419 0.794588384 0.602705808 [164,] 0.36569486 0.731389730 0.634305135 [165,] 0.33909383 0.678187654 0.660906173 [166,] 0.30822749 0.616454977 0.691772511 [167,] 0.35107292 0.702145844 0.648927078 [168,] 0.31825821 0.636516415 0.681741792 [169,] 0.40454544 0.809090879 0.595454560 [170,] 0.40728276 0.814565526 0.592717237 [171,] 0.38113812 0.762276240 0.618861880 [172,] 0.45884244 0.917684881 0.541157559 [173,] 0.43156349 0.863126972 0.568436514 [174,] 0.43853866 0.877077326 0.561461337 [175,] 0.41241105 0.824822096 0.587588952 [176,] 0.38980296 0.779605918 0.610197041 [177,] 0.37600942 0.752018835 0.623990583 [178,] 0.45818224 0.916364485 0.541817757 [179,] 0.43050288 0.861005764 0.569497118 [180,] 0.44439786 0.888795714 0.555602143 [181,] 0.40899486 0.817989725 0.591005138 [182,] 0.48148710 0.962974205 0.518512898 [183,] 0.44531764 0.890635284 0.554682358 [184,] 0.40835000 0.816699992 0.591650004 [185,] 0.37120315 0.742406304 0.628796848 [186,] 0.46088234 0.921764684 0.539117658 [187,] 0.45921358 0.918427170 0.540786415 [188,] 0.47406660 0.948133201 0.525933400 [189,] 0.46480363 0.929607262 0.535196369 [190,] 0.42575951 0.851519022 0.574240489 [191,] 0.39784227 0.795684544 0.602157728 [192,] 0.40163537 0.803270745 0.598364627 [193,] 0.52286859 0.954262818 0.477131409 [194,] 0.49766422 0.995328437 0.502335781 [195,] 0.45945021 0.918900428 0.540549786 [196,] 0.42488342 0.849766831 0.575116585 [197,] 0.38650159 0.773003177 0.613498411 [198,] 0.34822996 0.696459924 0.651770038 [199,] 0.31102542 0.622050836 0.688974582 [200,] 0.27517677 0.550353544 0.724823228 [201,] 0.24919583 0.498391666 0.750804167 [202,] 0.21818901 0.436378027 0.781810986 [203,] 0.19390471 0.387809421 0.806095290 [204,] 0.20650427 0.413008544 0.793495728 [205,] 0.17730957 0.354619145 0.822690427 [206,] 0.15160557 0.303211145 0.848394428 [207,] 0.12879843 0.257596859 0.871201570 [208,] 0.10782366 0.215647319 0.892176340 [209,] 0.09886758 0.197735157 0.901132422 [210,] 0.11118944 0.222378872 0.888810564 [211,] 0.09426810 0.188536200 0.905731900 [212,] 0.07774470 0.155489397 0.922255301 [213,] 0.06316984 0.126339684 0.936830158 [214,] 0.05219396 0.104387914 0.947806043 [215,] 0.05706219 0.114124381 0.942937810 [216,] 0.04863666 0.097273325 0.951363337 [217,] 0.05643332 0.112866645 0.943566677 [218,] 0.04481332 0.089626640 0.955186680 [219,] 0.03487519 0.069750389 0.965124805 [220,] 0.03690829 0.073816576 0.963091712 [221,] 0.03978317 0.079566335 0.960216833 [222,] 0.03300012 0.066000231 0.966999884 [223,] 0.02796071 0.055921428 0.972039286 [224,] 0.02757901 0.055158013 0.972420994 [225,] 0.04033164 0.080663281 0.959668360 [226,] 0.03823148 0.076462953 0.961768523 [227,] 0.03055544 0.061110885 0.969444558 [228,] 0.02419534 0.048390687 0.975804657 [229,] 0.02793056 0.055861112 0.972069444 [230,] 0.02570286 0.051405728 0.974297136 [231,] 0.02639031 0.052780619 0.973609690 [232,] 0.02155024 0.043100474 0.978449763 [233,] 0.01718797 0.034375940 0.982812030 [234,] 0.01311920 0.026238391 0.986880804 [235,] 0.02980237 0.059604744 0.970197628 [236,] 0.03993820 0.079876397 0.960061801 [237,] 0.08342743 0.166854864 0.916572568 [238,] 0.06244258 0.124885153 0.937557424 [239,] 0.04559087 0.091181730 0.954409135 [240,] 0.03241490 0.064829792 0.967585104 [241,] 0.02266860 0.045337194 0.977331403 [242,] 0.02418771 0.048375422 0.975812289 [243,] 0.01605902 0.032118036 0.983940982 [244,] 0.22405121 0.448102426 0.775948787 [245,] 0.22412108 0.448242160 0.775878920 [246,] 0.17424677 0.348493537 0.825753232 [247,] 0.14199572 0.283991430 0.858004285 [248,] 0.14555161 0.291103214 0.854448393 [249,] 0.13296936 0.265938730 0.867030635 [250,] 0.09193270 0.183865407 0.908067296 [251,] 0.07127271 0.142545425 0.928727288 [252,] 0.04231240 0.084624799 0.957687601 [253,] 0.04982466 0.099649329 0.950175336 [254,] 0.02978586 0.059571721 0.970214140 [255,] 0.03078383 0.061567656 0.969216172 > postscript(file="/var/wessaorg/rcomp/tmp/126te1384709326.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > plot(x[,1], type='l', main='Actuals and Interpolation', ylab='value of Actuals and Interpolation (dots)', xlab='time or index') > points(x[,1]-mysum$resid) > grid() > dev.off() null device 1 > postscript(file="/var/wessaorg/rcomp/tmp/2azxm1384709326.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > plot(mysum$resid, type='b', pch=19, main='Residuals', ylab='value of Residuals', xlab='time or index') > grid() > dev.off() null device 1 > postscript(file="/var/wessaorg/rcomp/tmp/37zh81384709326.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > hist(mysum$resid, main='Residual Histogram', xlab='values of Residuals') > grid() > dev.off() null device 1 > postscript(file="/var/wessaorg/rcomp/tmp/4pgb31384709326.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > densityplot(~mysum$resid,col='black',main='Residual Density Plot', xlab='values of Residuals') > dev.off() null device 1 > postscript(file="/var/wessaorg/rcomp/tmp/55iud1384709326.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > qqnorm(mysum$resid, main='Residual Normal Q-Q Plot') > qqline(mysum$resid) > grid() > dev.off() null device 1 > (myerror <- as.ts(mysum$resid)) Time Series: Start = 1 End = 264 Frequency = 1 1 2 3 4 5 6 -1.21621693 1.02157313 -1.64455948 -2.83511197 9.40267810 2.02157313 7 8 9 10 11 12 8.78378307 -2.21621693 -2.40676942 0.59323058 -0.78787438 -1.16897935 13 14 15 16 17 18 -1.45400700 2.40267810 0.02157313 0.78378307 0.78378307 0.21212562 19 20 21 22 23 24 -3.21621693 1.40267810 -0.47842687 -1.64455948 -1.21621693 -0.83511197 25 26 27 28 29 30 0.21212562 -8.26345452 -0.59732190 1.78378307 1.59323058 -2.64455948 31 32 33 34 35 36 -2.59732190 0.97433555 -0.78787438 -1.40676942 -0.21621693 -3.59732190 37 38 39 40 41 42 2.73654548 -0.40676942 -0.78787438 -4.02566445 -3.40676942 2.40267810 43 44 45 46 47 48 -3.59732190 -0.83511197 -1.40676942 -2.64455948 -3.40676942 -1.40676942 49 50 51 52 53 54 4.21212562 -3.02566445 -1.59732190 0.78378307 2.35544052 -0.83511197 55 56 57 58 59 60 -3.83511197 2.09323058 1.40267810 -3.40676942 -4.83511197 0.16488803 61 62 63 64 65 66 1.92709797 -2.02566445 -3.64455948 0.78378307 0.59323058 -5.45400700 67 68 69 70 71 72 1.35544052 -2.83511197 0.59323058 1.59323058 -0.21621693 3.40267810 73 74 75 76 77 78 0.59323058 -2.40676942 -3.02566445 4.16488803 2.21212562 2.97433555 79 80 81 82 83 84 0.59323058 -5.02566445 -1.40676942 -3.40676942 0.40267810 -0.40676942 85 86 87 88 89 90 -0.21621693 0.59323058 -1.21621693 0.97433555 3.11765045 2.21212562 91 92 93 94 95 96 0.97433555 0.59323058 1.78378307 -1.52566445 -0.59732190 1.16488803 97 98 99 100 101 102 -2.21621693 0.21212562 -2.40676942 -0.78787438 1.16488803 0.40267810 103 104 105 106 107 108 -4.64455948 3.59323058 1.73654548 -0.59732190 3.59323058 -1.45400700 109 110 111 112 113 114 7.54599300 1.59323058 -0.64455948 -3.02566445 1.78378307 2.02157313 115 116 117 118 119 120 -1.59732190 0.78378307 -0.21621693 -4.21621693 1.78378307 0.16488803 121 122 123 124 125 126 0.78378307 -1.40676942 -4.40676942 -1.40676942 -3.02566445 -2.78787438 127 128 129 130 131 132 -0.78787438 1.83102065 0.59323058 -3.02566445 2.73654548 -2.40676942 133 134 135 136 137 138 2.59323058 -0.40676942 2.40267810 7.35544052 0.78378307 0.35544052 139 140 141 142 143 144 -1.40676942 -2.02566445 -2.40676942 2.40267810 -1.21621693 -0.40676942 145 146 147 148 149 150 -0.59732190 0.40267810 -2.64455948 -3.83511197 1.73654548 0.40267810 151 152 153 154 155 156 2.97433555 -2.59732190 -2.83511197 1.73654548 3.97433555 0.97433555 157 158 159 160 161 162 0.78378307 1.83102065 -5.02566445 3.16488803 1.97433555 7.54599300 163 164 165 166 167 168 0.78378307 8.40267810 1.54599300 7.35544052 -1.21621693 -0.83511197 169 170 171 172 173 174 -1.26345452 0.73654548 4.35544052 0.40267810 -5.26345452 2.97433555 175 176 177 178 179 180 1.40267810 -5.02566445 -1.26345452 3.16488803 -1.59732190 -1.64455948 181 182 183 184 185 186 -2.21621693 -5.02566445 -1.40676942 -3.21621693 -0.59732190 4.97433555 187 188 189 190 191 192 0.78378307 -0.40676942 -0.02566445 5.35544052 -2.64455948 -3.21621693 193 194 195 196 197 198 2.59323058 0.35544052 1.59323058 -2.83511197 5.78378307 1.78378307 199 200 201 202 203 204 0.92709797 -1.02566445 -0.26345452 -0.40676942 0.21212562 -0.02566445 205 206 207 208 209 210 -1.40676942 0.59323058 -1.21621693 3.40267810 -0.02566445 0.40267810 211 212 213 214 215 216 -0.26345452 -0.59732190 2.35544052 -3.45400700 1.35544052 0.59323058 217 218 219 220 221 222 0.21212562 -1.21621693 3.92709797 1.59323058 -3.64455948 0.40267810 223 224 225 226 227 228 0.54599300 -3.40676942 3.73654548 -1.59732190 1.83102065 -2.83511197 229 230 231 232 233 234 4.92709797 -2.64455948 -1.21621693 -1.26345452 -3.40676942 2.97433555 235 236 237 238 239 240 -2.59732190 -1.64455948 2.16488803 -1.02566445 -5.45400700 -3.64455948 241 242 243 244 245 246 -4.83511197 0.92709797 1.16488803 1.16488803 1.59323058 4.35544052 247 248 249 250 251 252 0.97433555 9.78378307 3.54599300 1.16488803 1.59323058 2.97433555 253 254 255 256 257 258 -3.02566445 -1.02566445 2.16488803 0.16488803 3.73654548 0.73654548 259 260 261 262 263 264 2.59323058 -8.45400700 -1.21621693 -0.40676942 3.11765045 -1.21621693 > postscript(file="/var/wessaorg/rcomp/tmp/6i6x71384709326.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > dum <- cbind(lag(myerror,k=1),myerror) > dum Time Series: Start = 0 End = 264 Frequency = 1 lag(myerror, k = 1) myerror 0 -1.21621693 NA 1 1.02157313 -1.21621693 2 -1.64455948 1.02157313 3 -2.83511197 -1.64455948 4 9.40267810 -2.83511197 5 2.02157313 9.40267810 6 8.78378307 2.02157313 7 -2.21621693 8.78378307 8 -2.40676942 -2.21621693 9 0.59323058 -2.40676942 10 -0.78787438 0.59323058 11 -1.16897935 -0.78787438 12 -1.45400700 -1.16897935 13 2.40267810 -1.45400700 14 0.02157313 2.40267810 15 0.78378307 0.02157313 16 0.78378307 0.78378307 17 0.21212562 0.78378307 18 -3.21621693 0.21212562 19 1.40267810 -3.21621693 20 -0.47842687 1.40267810 21 -1.64455948 -0.47842687 22 -1.21621693 -1.64455948 23 -0.83511197 -1.21621693 24 0.21212562 -0.83511197 25 -8.26345452 0.21212562 26 -0.59732190 -8.26345452 27 1.78378307 -0.59732190 28 1.59323058 1.78378307 29 -2.64455948 1.59323058 30 -2.59732190 -2.64455948 31 0.97433555 -2.59732190 32 -0.78787438 0.97433555 33 -1.40676942 -0.78787438 34 -0.21621693 -1.40676942 35 -3.59732190 -0.21621693 36 2.73654548 -3.59732190 37 -0.40676942 2.73654548 38 -0.78787438 -0.40676942 39 -4.02566445 -0.78787438 40 -3.40676942 -4.02566445 41 2.40267810 -3.40676942 42 -3.59732190 2.40267810 43 -0.83511197 -3.59732190 44 -1.40676942 -0.83511197 45 -2.64455948 -1.40676942 46 -3.40676942 -2.64455948 47 -1.40676942 -3.40676942 48 4.21212562 -1.40676942 49 -3.02566445 4.21212562 50 -1.59732190 -3.02566445 51 0.78378307 -1.59732190 52 2.35544052 0.78378307 53 -0.83511197 2.35544052 54 -3.83511197 -0.83511197 55 2.09323058 -3.83511197 56 1.40267810 2.09323058 57 -3.40676942 1.40267810 58 -4.83511197 -3.40676942 59 0.16488803 -4.83511197 60 1.92709797 0.16488803 61 -2.02566445 1.92709797 62 -3.64455948 -2.02566445 63 0.78378307 -3.64455948 64 0.59323058 0.78378307 65 -5.45400700 0.59323058 66 1.35544052 -5.45400700 67 -2.83511197 1.35544052 68 0.59323058 -2.83511197 69 1.59323058 0.59323058 70 -0.21621693 1.59323058 71 3.40267810 -0.21621693 72 0.59323058 3.40267810 73 -2.40676942 0.59323058 74 -3.02566445 -2.40676942 75 4.16488803 -3.02566445 76 2.21212562 4.16488803 77 2.97433555 2.21212562 78 0.59323058 2.97433555 79 -5.02566445 0.59323058 80 -1.40676942 -5.02566445 81 -3.40676942 -1.40676942 82 0.40267810 -3.40676942 83 -0.40676942 0.40267810 84 -0.21621693 -0.40676942 85 0.59323058 -0.21621693 86 -1.21621693 0.59323058 87 0.97433555 -1.21621693 88 3.11765045 0.97433555 89 2.21212562 3.11765045 90 0.97433555 2.21212562 91 0.59323058 0.97433555 92 1.78378307 0.59323058 93 -1.52566445 1.78378307 94 -0.59732190 -1.52566445 95 1.16488803 -0.59732190 96 -2.21621693 1.16488803 97 0.21212562 -2.21621693 98 -2.40676942 0.21212562 99 -0.78787438 -2.40676942 100 1.16488803 -0.78787438 101 0.40267810 1.16488803 102 -4.64455948 0.40267810 103 3.59323058 -4.64455948 104 1.73654548 3.59323058 105 -0.59732190 1.73654548 106 3.59323058 -0.59732190 107 -1.45400700 3.59323058 108 7.54599300 -1.45400700 109 1.59323058 7.54599300 110 -0.64455948 1.59323058 111 -3.02566445 -0.64455948 112 1.78378307 -3.02566445 113 2.02157313 1.78378307 114 -1.59732190 2.02157313 115 0.78378307 -1.59732190 116 -0.21621693 0.78378307 117 -4.21621693 -0.21621693 118 1.78378307 -4.21621693 119 0.16488803 1.78378307 120 0.78378307 0.16488803 121 -1.40676942 0.78378307 122 -4.40676942 -1.40676942 123 -1.40676942 -4.40676942 124 -3.02566445 -1.40676942 125 -2.78787438 -3.02566445 126 -0.78787438 -2.78787438 127 1.83102065 -0.78787438 128 0.59323058 1.83102065 129 -3.02566445 0.59323058 130 2.73654548 -3.02566445 131 -2.40676942 2.73654548 132 2.59323058 -2.40676942 133 -0.40676942 2.59323058 134 2.40267810 -0.40676942 135 7.35544052 2.40267810 136 0.78378307 7.35544052 137 0.35544052 0.78378307 138 -1.40676942 0.35544052 139 -2.02566445 -1.40676942 140 -2.40676942 -2.02566445 141 2.40267810 -2.40676942 142 -1.21621693 2.40267810 143 -0.40676942 -1.21621693 144 -0.59732190 -0.40676942 145 0.40267810 -0.59732190 146 -2.64455948 0.40267810 147 -3.83511197 -2.64455948 148 1.73654548 -3.83511197 149 0.40267810 1.73654548 150 2.97433555 0.40267810 151 -2.59732190 2.97433555 152 -2.83511197 -2.59732190 153 1.73654548 -2.83511197 154 3.97433555 1.73654548 155 0.97433555 3.97433555 156 0.78378307 0.97433555 157 1.83102065 0.78378307 158 -5.02566445 1.83102065 159 3.16488803 -5.02566445 160 1.97433555 3.16488803 161 7.54599300 1.97433555 162 0.78378307 7.54599300 163 8.40267810 0.78378307 164 1.54599300 8.40267810 165 7.35544052 1.54599300 166 -1.21621693 7.35544052 167 -0.83511197 -1.21621693 168 -1.26345452 -0.83511197 169 0.73654548 -1.26345452 170 4.35544052 0.73654548 171 0.40267810 4.35544052 172 -5.26345452 0.40267810 173 2.97433555 -5.26345452 174 1.40267810 2.97433555 175 -5.02566445 1.40267810 176 -1.26345452 -5.02566445 177 3.16488803 -1.26345452 178 -1.59732190 3.16488803 179 -1.64455948 -1.59732190 180 -2.21621693 -1.64455948 181 -5.02566445 -2.21621693 182 -1.40676942 -5.02566445 183 -3.21621693 -1.40676942 184 -0.59732190 -3.21621693 185 4.97433555 -0.59732190 186 0.78378307 4.97433555 187 -0.40676942 0.78378307 188 -0.02566445 -0.40676942 189 5.35544052 -0.02566445 190 -2.64455948 5.35544052 191 -3.21621693 -2.64455948 192 2.59323058 -3.21621693 193 0.35544052 2.59323058 194 1.59323058 0.35544052 195 -2.83511197 1.59323058 196 5.78378307 -2.83511197 197 1.78378307 5.78378307 198 0.92709797 1.78378307 199 -1.02566445 0.92709797 200 -0.26345452 -1.02566445 201 -0.40676942 -0.26345452 202 0.21212562 -0.40676942 203 -0.02566445 0.21212562 204 -1.40676942 -0.02566445 205 0.59323058 -1.40676942 206 -1.21621693 0.59323058 207 3.40267810 -1.21621693 208 -0.02566445 3.40267810 209 0.40267810 -0.02566445 210 -0.26345452 0.40267810 211 -0.59732190 -0.26345452 212 2.35544052 -0.59732190 213 -3.45400700 2.35544052 214 1.35544052 -3.45400700 215 0.59323058 1.35544052 216 0.21212562 0.59323058 217 -1.21621693 0.21212562 218 3.92709797 -1.21621693 219 1.59323058 3.92709797 220 -3.64455948 1.59323058 221 0.40267810 -3.64455948 222 0.54599300 0.40267810 223 -3.40676942 0.54599300 224 3.73654548 -3.40676942 225 -1.59732190 3.73654548 226 1.83102065 -1.59732190 227 -2.83511197 1.83102065 228 4.92709797 -2.83511197 229 -2.64455948 4.92709797 230 -1.21621693 -2.64455948 231 -1.26345452 -1.21621693 232 -3.40676942 -1.26345452 233 2.97433555 -3.40676942 234 -2.59732190 2.97433555 235 -1.64455948 -2.59732190 236 2.16488803 -1.64455948 237 -1.02566445 2.16488803 238 -5.45400700 -1.02566445 239 -3.64455948 -5.45400700 240 -4.83511197 -3.64455948 241 0.92709797 -4.83511197 242 1.16488803 0.92709797 243 1.16488803 1.16488803 244 1.59323058 1.16488803 245 4.35544052 1.59323058 246 0.97433555 4.35544052 247 9.78378307 0.97433555 248 3.54599300 9.78378307 249 1.16488803 3.54599300 250 1.59323058 1.16488803 251 2.97433555 1.59323058 252 -3.02566445 2.97433555 253 -1.02566445 -3.02566445 254 2.16488803 -1.02566445 255 0.16488803 2.16488803 256 3.73654548 0.16488803 257 0.73654548 3.73654548 258 2.59323058 0.73654548 259 -8.45400700 2.59323058 260 -1.21621693 -8.45400700 261 -0.40676942 -1.21621693 262 3.11765045 -0.40676942 263 -1.21621693 3.11765045 264 NA -1.21621693 > dum1 <- dum[2:length(myerror),] > dum1 lag(myerror, k = 1) myerror [1,] 1.02157313 -1.21621693 [2,] -1.64455948 1.02157313 [3,] -2.83511197 -1.64455948 [4,] 9.40267810 -2.83511197 [5,] 2.02157313 9.40267810 [6,] 8.78378307 2.02157313 [7,] -2.21621693 8.78378307 [8,] -2.40676942 -2.21621693 [9,] 0.59323058 -2.40676942 [10,] -0.78787438 0.59323058 [11,] -1.16897935 -0.78787438 [12,] -1.45400700 -1.16897935 [13,] 2.40267810 -1.45400700 [14,] 0.02157313 2.40267810 [15,] 0.78378307 0.02157313 [16,] 0.78378307 0.78378307 [17,] 0.21212562 0.78378307 [18,] -3.21621693 0.21212562 [19,] 1.40267810 -3.21621693 [20,] -0.47842687 1.40267810 [21,] -1.64455948 -0.47842687 [22,] -1.21621693 -1.64455948 [23,] -0.83511197 -1.21621693 [24,] 0.21212562 -0.83511197 [25,] -8.26345452 0.21212562 [26,] -0.59732190 -8.26345452 [27,] 1.78378307 -0.59732190 [28,] 1.59323058 1.78378307 [29,] -2.64455948 1.59323058 [30,] -2.59732190 -2.64455948 [31,] 0.97433555 -2.59732190 [32,] -0.78787438 0.97433555 [33,] -1.40676942 -0.78787438 [34,] -0.21621693 -1.40676942 [35,] -3.59732190 -0.21621693 [36,] 2.73654548 -3.59732190 [37,] -0.40676942 2.73654548 [38,] -0.78787438 -0.40676942 [39,] -4.02566445 -0.78787438 [40,] -3.40676942 -4.02566445 [41,] 2.40267810 -3.40676942 [42,] -3.59732190 2.40267810 [43,] -0.83511197 -3.59732190 [44,] -1.40676942 -0.83511197 [45,] -2.64455948 -1.40676942 [46,] -3.40676942 -2.64455948 [47,] -1.40676942 -3.40676942 [48,] 4.21212562 -1.40676942 [49,] -3.02566445 4.21212562 [50,] -1.59732190 -3.02566445 [51,] 0.78378307 -1.59732190 [52,] 2.35544052 0.78378307 [53,] -0.83511197 2.35544052 [54,] -3.83511197 -0.83511197 [55,] 2.09323058 -3.83511197 [56,] 1.40267810 2.09323058 [57,] -3.40676942 1.40267810 [58,] -4.83511197 -3.40676942 [59,] 0.16488803 -4.83511197 [60,] 1.92709797 0.16488803 [61,] -2.02566445 1.92709797 [62,] -3.64455948 -2.02566445 [63,] 0.78378307 -3.64455948 [64,] 0.59323058 0.78378307 [65,] -5.45400700 0.59323058 [66,] 1.35544052 -5.45400700 [67,] -2.83511197 1.35544052 [68,] 0.59323058 -2.83511197 [69,] 1.59323058 0.59323058 [70,] -0.21621693 1.59323058 [71,] 3.40267810 -0.21621693 [72,] 0.59323058 3.40267810 [73,] -2.40676942 0.59323058 [74,] -3.02566445 -2.40676942 [75,] 4.16488803 -3.02566445 [76,] 2.21212562 4.16488803 [77,] 2.97433555 2.21212562 [78,] 0.59323058 2.97433555 [79,] -5.02566445 0.59323058 [80,] -1.40676942 -5.02566445 [81,] -3.40676942 -1.40676942 [82,] 0.40267810 -3.40676942 [83,] -0.40676942 0.40267810 [84,] -0.21621693 -0.40676942 [85,] 0.59323058 -0.21621693 [86,] -1.21621693 0.59323058 [87,] 0.97433555 -1.21621693 [88,] 3.11765045 0.97433555 [89,] 2.21212562 3.11765045 [90,] 0.97433555 2.21212562 [91,] 0.59323058 0.97433555 [92,] 1.78378307 0.59323058 [93,] -1.52566445 1.78378307 [94,] -0.59732190 -1.52566445 [95,] 1.16488803 -0.59732190 [96,] -2.21621693 1.16488803 [97,] 0.21212562 -2.21621693 [98,] -2.40676942 0.21212562 [99,] -0.78787438 -2.40676942 [100,] 1.16488803 -0.78787438 [101,] 0.40267810 1.16488803 [102,] -4.64455948 0.40267810 [103,] 3.59323058 -4.64455948 [104,] 1.73654548 3.59323058 [105,] -0.59732190 1.73654548 [106,] 3.59323058 -0.59732190 [107,] -1.45400700 3.59323058 [108,] 7.54599300 -1.45400700 [109,] 1.59323058 7.54599300 [110,] -0.64455948 1.59323058 [111,] -3.02566445 -0.64455948 [112,] 1.78378307 -3.02566445 [113,] 2.02157313 1.78378307 [114,] -1.59732190 2.02157313 [115,] 0.78378307 -1.59732190 [116,] -0.21621693 0.78378307 [117,] -4.21621693 -0.21621693 [118,] 1.78378307 -4.21621693 [119,] 0.16488803 1.78378307 [120,] 0.78378307 0.16488803 [121,] -1.40676942 0.78378307 [122,] -4.40676942 -1.40676942 [123,] -1.40676942 -4.40676942 [124,] -3.02566445 -1.40676942 [125,] -2.78787438 -3.02566445 [126,] -0.78787438 -2.78787438 [127,] 1.83102065 -0.78787438 [128,] 0.59323058 1.83102065 [129,] -3.02566445 0.59323058 [130,] 2.73654548 -3.02566445 [131,] -2.40676942 2.73654548 [132,] 2.59323058 -2.40676942 [133,] -0.40676942 2.59323058 [134,] 2.40267810 -0.40676942 [135,] 7.35544052 2.40267810 [136,] 0.78378307 7.35544052 [137,] 0.35544052 0.78378307 [138,] -1.40676942 0.35544052 [139,] -2.02566445 -1.40676942 [140,] -2.40676942 -2.02566445 [141,] 2.40267810 -2.40676942 [142,] -1.21621693 2.40267810 [143,] -0.40676942 -1.21621693 [144,] -0.59732190 -0.40676942 [145,] 0.40267810 -0.59732190 [146,] -2.64455948 0.40267810 [147,] -3.83511197 -2.64455948 [148,] 1.73654548 -3.83511197 [149,] 0.40267810 1.73654548 [150,] 2.97433555 0.40267810 [151,] -2.59732190 2.97433555 [152,] -2.83511197 -2.59732190 [153,] 1.73654548 -2.83511197 [154,] 3.97433555 1.73654548 [155,] 0.97433555 3.97433555 [156,] 0.78378307 0.97433555 [157,] 1.83102065 0.78378307 [158,] -5.02566445 1.83102065 [159,] 3.16488803 -5.02566445 [160,] 1.97433555 3.16488803 [161,] 7.54599300 1.97433555 [162,] 0.78378307 7.54599300 [163,] 8.40267810 0.78378307 [164,] 1.54599300 8.40267810 [165,] 7.35544052 1.54599300 [166,] -1.21621693 7.35544052 [167,] -0.83511197 -1.21621693 [168,] -1.26345452 -0.83511197 [169,] 0.73654548 -1.26345452 [170,] 4.35544052 0.73654548 [171,] 0.40267810 4.35544052 [172,] -5.26345452 0.40267810 [173,] 2.97433555 -5.26345452 [174,] 1.40267810 2.97433555 [175,] -5.02566445 1.40267810 [176,] -1.26345452 -5.02566445 [177,] 3.16488803 -1.26345452 [178,] -1.59732190 3.16488803 [179,] -1.64455948 -1.59732190 [180,] -2.21621693 -1.64455948 [181,] -5.02566445 -2.21621693 [182,] -1.40676942 -5.02566445 [183,] -3.21621693 -1.40676942 [184,] -0.59732190 -3.21621693 [185,] 4.97433555 -0.59732190 [186,] 0.78378307 4.97433555 [187,] -0.40676942 0.78378307 [188,] -0.02566445 -0.40676942 [189,] 5.35544052 -0.02566445 [190,] -2.64455948 5.35544052 [191,] -3.21621693 -2.64455948 [192,] 2.59323058 -3.21621693 [193,] 0.35544052 2.59323058 [194,] 1.59323058 0.35544052 [195,] -2.83511197 1.59323058 [196,] 5.78378307 -2.83511197 [197,] 1.78378307 5.78378307 [198,] 0.92709797 1.78378307 [199,] -1.02566445 0.92709797 [200,] -0.26345452 -1.02566445 [201,] -0.40676942 -0.26345452 [202,] 0.21212562 -0.40676942 [203,] -0.02566445 0.21212562 [204,] -1.40676942 -0.02566445 [205,] 0.59323058 -1.40676942 [206,] -1.21621693 0.59323058 [207,] 3.40267810 -1.21621693 [208,] -0.02566445 3.40267810 [209,] 0.40267810 -0.02566445 [210,] -0.26345452 0.40267810 [211,] -0.59732190 -0.26345452 [212,] 2.35544052 -0.59732190 [213,] -3.45400700 2.35544052 [214,] 1.35544052 -3.45400700 [215,] 0.59323058 1.35544052 [216,] 0.21212562 0.59323058 [217,] -1.21621693 0.21212562 [218,] 3.92709797 -1.21621693 [219,] 1.59323058 3.92709797 [220,] -3.64455948 1.59323058 [221,] 0.40267810 -3.64455948 [222,] 0.54599300 0.40267810 [223,] -3.40676942 0.54599300 [224,] 3.73654548 -3.40676942 [225,] -1.59732190 3.73654548 [226,] 1.83102065 -1.59732190 [227,] -2.83511197 1.83102065 [228,] 4.92709797 -2.83511197 [229,] -2.64455948 4.92709797 [230,] -1.21621693 -2.64455948 [231,] -1.26345452 -1.21621693 [232,] -3.40676942 -1.26345452 [233,] 2.97433555 -3.40676942 [234,] -2.59732190 2.97433555 [235,] -1.64455948 -2.59732190 [236,] 2.16488803 -1.64455948 [237,] -1.02566445 2.16488803 [238,] -5.45400700 -1.02566445 [239,] -3.64455948 -5.45400700 [240,] -4.83511197 -3.64455948 [241,] 0.92709797 -4.83511197 [242,] 1.16488803 0.92709797 [243,] 1.16488803 1.16488803 [244,] 1.59323058 1.16488803 [245,] 4.35544052 1.59323058 [246,] 0.97433555 4.35544052 [247,] 9.78378307 0.97433555 [248,] 3.54599300 9.78378307 [249,] 1.16488803 3.54599300 [250,] 1.59323058 1.16488803 [251,] 2.97433555 1.59323058 [252,] -3.02566445 2.97433555 [253,] -1.02566445 -3.02566445 [254,] 2.16488803 -1.02566445 [255,] 0.16488803 2.16488803 [256,] 3.73654548 0.16488803 [257,] 0.73654548 3.73654548 [258,] 2.59323058 0.73654548 [259,] -8.45400700 2.59323058 [260,] -1.21621693 -8.45400700 [261,] -0.40676942 -1.21621693 [262,] 3.11765045 -0.40676942 [263,] -1.21621693 3.11765045 > z <- as.data.frame(dum1) > z lag(myerror, k = 1) myerror 1 1.02157313 -1.21621693 2 -1.64455948 1.02157313 3 -2.83511197 -1.64455948 4 9.40267810 -2.83511197 5 2.02157313 9.40267810 6 8.78378307 2.02157313 7 -2.21621693 8.78378307 8 -2.40676942 -2.21621693 9 0.59323058 -2.40676942 10 -0.78787438 0.59323058 11 -1.16897935 -0.78787438 12 -1.45400700 -1.16897935 13 2.40267810 -1.45400700 14 0.02157313 2.40267810 15 0.78378307 0.02157313 16 0.78378307 0.78378307 17 0.21212562 0.78378307 18 -3.21621693 0.21212562 19 1.40267810 -3.21621693 20 -0.47842687 1.40267810 21 -1.64455948 -0.47842687 22 -1.21621693 -1.64455948 23 -0.83511197 -1.21621693 24 0.21212562 -0.83511197 25 -8.26345452 0.21212562 26 -0.59732190 -8.26345452 27 1.78378307 -0.59732190 28 1.59323058 1.78378307 29 -2.64455948 1.59323058 30 -2.59732190 -2.64455948 31 0.97433555 -2.59732190 32 -0.78787438 0.97433555 33 -1.40676942 -0.78787438 34 -0.21621693 -1.40676942 35 -3.59732190 -0.21621693 36 2.73654548 -3.59732190 37 -0.40676942 2.73654548 38 -0.78787438 -0.40676942 39 -4.02566445 -0.78787438 40 -3.40676942 -4.02566445 41 2.40267810 -3.40676942 42 -3.59732190 2.40267810 43 -0.83511197 -3.59732190 44 -1.40676942 -0.83511197 45 -2.64455948 -1.40676942 46 -3.40676942 -2.64455948 47 -1.40676942 -3.40676942 48 4.21212562 -1.40676942 49 -3.02566445 4.21212562 50 -1.59732190 -3.02566445 51 0.78378307 -1.59732190 52 2.35544052 0.78378307 53 -0.83511197 2.35544052 54 -3.83511197 -0.83511197 55 2.09323058 -3.83511197 56 1.40267810 2.09323058 57 -3.40676942 1.40267810 58 -4.83511197 -3.40676942 59 0.16488803 -4.83511197 60 1.92709797 0.16488803 61 -2.02566445 1.92709797 62 -3.64455948 -2.02566445 63 0.78378307 -3.64455948 64 0.59323058 0.78378307 65 -5.45400700 0.59323058 66 1.35544052 -5.45400700 67 -2.83511197 1.35544052 68 0.59323058 -2.83511197 69 1.59323058 0.59323058 70 -0.21621693 1.59323058 71 3.40267810 -0.21621693 72 0.59323058 3.40267810 73 -2.40676942 0.59323058 74 -3.02566445 -2.40676942 75 4.16488803 -3.02566445 76 2.21212562 4.16488803 77 2.97433555 2.21212562 78 0.59323058 2.97433555 79 -5.02566445 0.59323058 80 -1.40676942 -5.02566445 81 -3.40676942 -1.40676942 82 0.40267810 -3.40676942 83 -0.40676942 0.40267810 84 -0.21621693 -0.40676942 85 0.59323058 -0.21621693 86 -1.21621693 0.59323058 87 0.97433555 -1.21621693 88 3.11765045 0.97433555 89 2.21212562 3.11765045 90 0.97433555 2.21212562 91 0.59323058 0.97433555 92 1.78378307 0.59323058 93 -1.52566445 1.78378307 94 -0.59732190 -1.52566445 95 1.16488803 -0.59732190 96 -2.21621693 1.16488803 97 0.21212562 -2.21621693 98 -2.40676942 0.21212562 99 -0.78787438 -2.40676942 100 1.16488803 -0.78787438 101 0.40267810 1.16488803 102 -4.64455948 0.40267810 103 3.59323058 -4.64455948 104 1.73654548 3.59323058 105 -0.59732190 1.73654548 106 3.59323058 -0.59732190 107 -1.45400700 3.59323058 108 7.54599300 -1.45400700 109 1.59323058 7.54599300 110 -0.64455948 1.59323058 111 -3.02566445 -0.64455948 112 1.78378307 -3.02566445 113 2.02157313 1.78378307 114 -1.59732190 2.02157313 115 0.78378307 -1.59732190 116 -0.21621693 0.78378307 117 -4.21621693 -0.21621693 118 1.78378307 -4.21621693 119 0.16488803 1.78378307 120 0.78378307 0.16488803 121 -1.40676942 0.78378307 122 -4.40676942 -1.40676942 123 -1.40676942 -4.40676942 124 -3.02566445 -1.40676942 125 -2.78787438 -3.02566445 126 -0.78787438 -2.78787438 127 1.83102065 -0.78787438 128 0.59323058 1.83102065 129 -3.02566445 0.59323058 130 2.73654548 -3.02566445 131 -2.40676942 2.73654548 132 2.59323058 -2.40676942 133 -0.40676942 2.59323058 134 2.40267810 -0.40676942 135 7.35544052 2.40267810 136 0.78378307 7.35544052 137 0.35544052 0.78378307 138 -1.40676942 0.35544052 139 -2.02566445 -1.40676942 140 -2.40676942 -2.02566445 141 2.40267810 -2.40676942 142 -1.21621693 2.40267810 143 -0.40676942 -1.21621693 144 -0.59732190 -0.40676942 145 0.40267810 -0.59732190 146 -2.64455948 0.40267810 147 -3.83511197 -2.64455948 148 1.73654548 -3.83511197 149 0.40267810 1.73654548 150 2.97433555 0.40267810 151 -2.59732190 2.97433555 152 -2.83511197 -2.59732190 153 1.73654548 -2.83511197 154 3.97433555 1.73654548 155 0.97433555 3.97433555 156 0.78378307 0.97433555 157 1.83102065 0.78378307 158 -5.02566445 1.83102065 159 3.16488803 -5.02566445 160 1.97433555 3.16488803 161 7.54599300 1.97433555 162 0.78378307 7.54599300 163 8.40267810 0.78378307 164 1.54599300 8.40267810 165 7.35544052 1.54599300 166 -1.21621693 7.35544052 167 -0.83511197 -1.21621693 168 -1.26345452 -0.83511197 169 0.73654548 -1.26345452 170 4.35544052 0.73654548 171 0.40267810 4.35544052 172 -5.26345452 0.40267810 173 2.97433555 -5.26345452 174 1.40267810 2.97433555 175 -5.02566445 1.40267810 176 -1.26345452 -5.02566445 177 3.16488803 -1.26345452 178 -1.59732190 3.16488803 179 -1.64455948 -1.59732190 180 -2.21621693 -1.64455948 181 -5.02566445 -2.21621693 182 -1.40676942 -5.02566445 183 -3.21621693 -1.40676942 184 -0.59732190 -3.21621693 185 4.97433555 -0.59732190 186 0.78378307 4.97433555 187 -0.40676942 0.78378307 188 -0.02566445 -0.40676942 189 5.35544052 -0.02566445 190 -2.64455948 5.35544052 191 -3.21621693 -2.64455948 192 2.59323058 -3.21621693 193 0.35544052 2.59323058 194 1.59323058 0.35544052 195 -2.83511197 1.59323058 196 5.78378307 -2.83511197 197 1.78378307 5.78378307 198 0.92709797 1.78378307 199 -1.02566445 0.92709797 200 -0.26345452 -1.02566445 201 -0.40676942 -0.26345452 202 0.21212562 -0.40676942 203 -0.02566445 0.21212562 204 -1.40676942 -0.02566445 205 0.59323058 -1.40676942 206 -1.21621693 0.59323058 207 3.40267810 -1.21621693 208 -0.02566445 3.40267810 209 0.40267810 -0.02566445 210 -0.26345452 0.40267810 211 -0.59732190 -0.26345452 212 2.35544052 -0.59732190 213 -3.45400700 2.35544052 214 1.35544052 -3.45400700 215 0.59323058 1.35544052 216 0.21212562 0.59323058 217 -1.21621693 0.21212562 218 3.92709797 -1.21621693 219 1.59323058 3.92709797 220 -3.64455948 1.59323058 221 0.40267810 -3.64455948 222 0.54599300 0.40267810 223 -3.40676942 0.54599300 224 3.73654548 -3.40676942 225 -1.59732190 3.73654548 226 1.83102065 -1.59732190 227 -2.83511197 1.83102065 228 4.92709797 -2.83511197 229 -2.64455948 4.92709797 230 -1.21621693 -2.64455948 231 -1.26345452 -1.21621693 232 -3.40676942 -1.26345452 233 2.97433555 -3.40676942 234 -2.59732190 2.97433555 235 -1.64455948 -2.59732190 236 2.16488803 -1.64455948 237 -1.02566445 2.16488803 238 -5.45400700 -1.02566445 239 -3.64455948 -5.45400700 240 -4.83511197 -3.64455948 241 0.92709797 -4.83511197 242 1.16488803 0.92709797 243 1.16488803 1.16488803 244 1.59323058 1.16488803 245 4.35544052 1.59323058 246 0.97433555 4.35544052 247 9.78378307 0.97433555 248 3.54599300 9.78378307 249 1.16488803 3.54599300 250 1.59323058 1.16488803 251 2.97433555 1.59323058 252 -3.02566445 2.97433555 253 -1.02566445 -3.02566445 254 2.16488803 -1.02566445 255 0.16488803 2.16488803 256 3.73654548 0.16488803 257 0.73654548 3.73654548 258 2.59323058 0.73654548 259 -8.45400700 2.59323058 260 -1.21621693 -8.45400700 261 -0.40676942 -1.21621693 262 3.11765045 -0.40676942 263 -1.21621693 3.11765045 > plot(z,main=paste('Residual Lag plot, lowess, and regression line'), ylab='values of Residuals', xlab='lagged values of Residuals') > lines(lowess(z)) > abline(lm(z)) > grid() > dev.off() null device 1 > postscript(file="/var/wessaorg/rcomp/tmp/7yccs1384709326.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > acf(mysum$resid, lag.max=length(mysum$resid)/2, main='Residual Autocorrelation Function') > grid() > dev.off() null device 1 > postscript(file="/var/wessaorg/rcomp/tmp/8bcud1384709326.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > pacf(mysum$resid, lag.max=length(mysum$resid)/2, main='Residual Partial Autocorrelation Function') > grid() > dev.off() null device 1 > postscript(file="/var/wessaorg/rcomp/tmp/9rivn1384709326.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > opar <- par(mfrow = c(2,2), oma = c(0, 0, 1.1, 0)) > plot(mylm, las = 1, sub='Residual Diagnostics') > par(opar) > dev.off() null device 1 > if (n > n25) { + postscript(file="/var/wessaorg/rcomp/tmp/10ehiq1384709326.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) + plot(kp3:nmkm3,gqarr[,2], main='Goldfeld-Quandt test',ylab='2-sided p-value',xlab='breakpoint') + grid() + dev.off() + } null device 1 > > #Note: the /var/wessaorg/rcomp/createtable file can be downloaded at http://www.wessa.net/cretab > load(file="/var/wessaorg/rcomp/createtable") > > a<-table.start() > a<-table.row.start(a) > a<-table.element(a, 'Multiple Linear Regression - Estimated Regression Equation', 1, TRUE) > a<-table.row.end(a) > myeq <- colnames(x)[1] > myeq <- paste(myeq, '[t] = ', sep='') > for (i in 1:k){ + if (mysum$coefficients[i,1] > 0) myeq <- paste(myeq, '+', '') + myeq <- paste(myeq, signif(mysum$coefficients[i,1],6), sep=' ') + if (rownames(mysum$coefficients)[i] != '(Intercept)') { + myeq <- paste(myeq, rownames(mysum$coefficients)[i], sep='') + if (rownames(mysum$coefficients)[i] != 't') myeq <- paste(myeq, '[t]', sep='') + } + } > myeq <- paste(myeq, ' + e[t]') > a<-table.row.start(a) > a<-table.element(a, myeq) > a<-table.row.end(a) > a<-table.end(a) > table.save(a,file="/var/wessaorg/rcomp/tmp/11hoj31384709326.tab") > a<-table.start() > a<-table.row.start(a) > a<-table.element(a,hyperlink('http://www.xycoon.com/ols1.htm','Multiple Linear Regression - Ordinary Least Squares',''), 6, TRUE) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a,'Variable',header=TRUE) > a<-table.element(a,'Parameter',header=TRUE) > a<-table.element(a,'S.D.',header=TRUE) > a<-table.element(a,'T-STAT
H0: parameter = 0',header=TRUE) > a<-table.element(a,'2-tail p-value',header=TRUE) > a<-table.element(a,'1-tail p-value',header=TRUE) > a<-table.row.end(a) > for (i in 1:k){ + a<-table.row.start(a) + a<-table.element(a,rownames(mysum$coefficients)[i],header=TRUE) + a<-table.element(a,signif(mysum$coefficients[i,1],6)) + a<-table.element(a, signif(mysum$coefficients[i,2],6)) + a<-table.element(a, signif(mysum$coefficients[i,3],4)) + a<-table.element(a, signif(mysum$coefficients[i,4],6)) + a<-table.element(a, signif(mysum$coefficients[i,4]/2,6)) + a<-table.row.end(a) + } > a<-table.end(a) > table.save(a,file="/var/wessaorg/rcomp/tmp/12xn8s1384709326.tab") > a<-table.start() > a<-table.row.start(a) > a<-table.element(a, 'Multiple Linear Regression - Regression Statistics', 2, TRUE) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'Multiple R',1,TRUE) > a<-table.element(a, signif(sqrt(mysum$r.squared),6)) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'R-squared',1,TRUE) > a<-table.element(a, signif(mysum$r.squared,6)) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'Adjusted R-squared',1,TRUE) > a<-table.element(a, signif(mysum$adj.r.squared,6)) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'F-TEST (value)',1,TRUE) > a<-table.element(a, signif(mysum$fstatistic[1],6)) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'F-TEST (DF numerator)',1,TRUE) > a<-table.element(a, signif(mysum$fstatistic[2],6)) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'F-TEST (DF denominator)',1,TRUE) > a<-table.element(a, signif(mysum$fstatistic[3],6)) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'p-value',1,TRUE) > a<-table.element(a, signif(1-pf(mysum$fstatistic[1],mysum$fstatistic[2],mysum$fstatistic[3]),6)) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'Multiple Linear Regression - Residual Statistics', 2, TRUE) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'Residual Standard Deviation',1,TRUE) > a<-table.element(a, signif(mysum$sigma,6)) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'Sum Squared Residuals',1,TRUE) > a<-table.element(a, signif(sum(myerror*myerror),6)) > a<-table.row.end(a) > a<-table.end(a) > table.save(a,file="/var/wessaorg/rcomp/tmp/13b8yg1384709326.tab") > a<-table.start() > a<-table.row.start(a) > a<-table.element(a, 'Multiple Linear Regression - Actuals, Interpolation, and Residuals', 4, TRUE) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'Time or Index', 1, TRUE) > a<-table.element(a, 'Actuals', 1, TRUE) > a<-table.element(a, 'Interpolation
Forecast', 1, TRUE) > a<-table.element(a, 'Residuals
Prediction Error', 1, TRUE) > a<-table.row.end(a) > for (i in 1:n) { + a<-table.row.start(a) + a<-table.element(a,i, 1, TRUE) + a<-table.element(a,signif(x[i],6)) + a<-table.element(a,signif(x[i]-mysum$resid[i],6)) + a<-table.element(a,signif(mysum$resid[i],6)) + a<-table.row.end(a) + } > a<-table.end(a) > table.save(a,file="/var/wessaorg/rcomp/tmp/14tj1t1384709326.tab") > if (n > n25) { + a<-table.start() + a<-table.row.start(a) + a<-table.element(a,'Goldfeld-Quandt test for Heteroskedasticity',4,TRUE) + a<-table.row.end(a) + a<-table.row.start(a) + a<-table.element(a,'p-values',header=TRUE) + a<-table.element(a,'Alternative Hypothesis',3,header=TRUE) + a<-table.row.end(a) + a<-table.row.start(a) + a<-table.element(a,'breakpoint index',header=TRUE) + a<-table.element(a,'greater',header=TRUE) + a<-table.element(a,'2-sided',header=TRUE) + a<-table.element(a,'less',header=TRUE) + a<-table.row.end(a) + for (mypoint in kp3:nmkm3) { + a<-table.row.start(a) + a<-table.element(a,mypoint,header=TRUE) + a<-table.element(a,signif(gqarr[mypoint-kp3+1,1],6)) + a<-table.element(a,signif(gqarr[mypoint-kp3+1,2],6)) + a<-table.element(a,signif(gqarr[mypoint-kp3+1,3],6)) + a<-table.row.end(a) + } + a<-table.end(a) + table.save(a,file="/var/wessaorg/rcomp/tmp/15u3yv1384709326.tab") + a<-table.start() + a<-table.row.start(a) + a<-table.element(a,'Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity',4,TRUE) + a<-table.row.end(a) + a<-table.row.start(a) + a<-table.element(a,'Description',header=TRUE) + a<-table.element(a,'# significant tests',header=TRUE) + a<-table.element(a,'% significant tests',header=TRUE) + a<-table.element(a,'OK/NOK',header=TRUE) + a<-table.row.end(a) + a<-table.row.start(a) + a<-table.element(a,'1% type I error level',header=TRUE) + a<-table.element(a,signif(numsignificant1,6)) + a<-table.element(a,signif(numsignificant1/numgqtests,6)) + if (numsignificant1/numgqtests < 0.01) dum <- 'OK' else dum <- 'NOK' + a<-table.element(a,dum) + a<-table.row.end(a) + a<-table.row.start(a) + a<-table.element(a,'5% type I error level',header=TRUE) + a<-table.element(a,signif(numsignificant5,6)) + a<-table.element(a,signif(numsignificant5/numgqtests,6)) + if (numsignificant5/numgqtests < 0.05) dum <- 'OK' else dum <- 'NOK' + a<-table.element(a,dum) + a<-table.row.end(a) + a<-table.row.start(a) + a<-table.element(a,'10% type I error level',header=TRUE) + a<-table.element(a,signif(numsignificant10,6)) + a<-table.element(a,signif(numsignificant10/numgqtests,6)) + if (numsignificant10/numgqtests < 0.1) dum <- 'OK' else dum <- 'NOK' + a<-table.element(a,dum) + a<-table.row.end(a) + a<-table.end(a) + table.save(a,file="/var/wessaorg/rcomp/tmp/166raw1384709326.tab") + } > > try(system("convert tmp/126te1384709326.ps tmp/126te1384709326.png",intern=TRUE)) character(0) > try(system("convert tmp/2azxm1384709326.ps tmp/2azxm1384709326.png",intern=TRUE)) character(0) > try(system("convert tmp/37zh81384709326.ps tmp/37zh81384709326.png",intern=TRUE)) character(0) > try(system("convert tmp/4pgb31384709326.ps tmp/4pgb31384709326.png",intern=TRUE)) character(0) > try(system("convert tmp/55iud1384709326.ps tmp/55iud1384709326.png",intern=TRUE)) character(0) > try(system("convert tmp/6i6x71384709326.ps tmp/6i6x71384709326.png",intern=TRUE)) character(0) > try(system("convert tmp/7yccs1384709326.ps tmp/7yccs1384709326.png",intern=TRUE)) character(0) > try(system("convert tmp/8bcud1384709326.ps tmp/8bcud1384709326.png",intern=TRUE)) character(0) > try(system("convert tmp/9rivn1384709326.ps tmp/9rivn1384709326.png",intern=TRUE)) character(0) > try(system("convert tmp/10ehiq1384709326.ps tmp/10ehiq1384709326.png",intern=TRUE)) character(0) > > > proc.time() user system elapsed 9.956 1.472 11.420