R version 2.13.0 (2011-04-13) Copyright (C) 2011 The R Foundation for Statistical Computing ISBN 3-900051-07-0 Platform: i486-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(130 + ,279055 + ,73 + ,140824 + ,186099 + ,143 + ,212408 + ,75 + ,110459 + ,113854 + ,118 + ,233939 + ,83 + ,105079 + ,99776 + ,146 + ,222117 + ,106 + ,112098 + ,106194 + ,73 + ,189911 + ,56 + ,43929 + ,100792 + ,89 + ,70849 + ,28 + ,76173 + ,47552 + ,146 + ,605767 + ,135 + ,187326 + ,250931 + ,22 + ,33186 + ,19 + ,22807 + ,6853 + ,132 + ,227332 + ,62 + ,144408 + ,115466 + ,92 + ,267925 + ,49 + ,66485 + ,110896 + ,147 + ,371987 + ,122 + ,79089 + ,169351 + ,203 + ,264989 + ,131 + ,81625 + ,94853 + ,113 + ,212638 + ,87 + ,68788 + ,72591 + ,171 + ,368577 + ,85 + ,103297 + ,101345 + ,87 + ,269455 + ,88 + ,69446 + ,113713 + ,208 + ,398124 + ,191 + ,114948 + ,165354 + ,153 + ,335567 + ,77 + ,167949 + ,164263 + ,97 + ,432711 + ,173 + ,125081 + ,135213 + ,95 + ,182016 + ,58 + ,125818 + ,111669 + ,197 + ,267365 + ,89 + ,136588 + ,134163 + ,160 + ,279428 + ,73 + ,112431 + ,140303 + ,148 + ,508849 + ,111 + ,103037 + ,150773 + ,84 + ,220142 + ,49 + ,82317 + ,111848 + ,227 + ,200004 + ,58 + ,118906 + ,102509 + ,154 + ,257139 + ,133 + ,83515 + ,96785 + ,151 + ,270941 + ,138 + ,104581 + ,116136 + ,142 + ,324969 + ,134 + ,103129 + ,158376 + ,148 + ,329962 + ,92 + ,83243 + ,153990 + ,110 + ,190867 + ,60 + ,37110 + ,64057 + ,149 + ,393860 + ,79 + ,113344 + ,230054 + ,179 + ,327660 + ,89 + ,139165 + ,184531 + ,149 + ,269239 + ,83 + ,86652 + ,114198 + ,187 + ,396136 + ,106 + ,112302 + ,198299 + ,153 + ,130446 + ,49 + ,69652 + ,33750 + ,163 + ,430118 + ,104 + ,119442 + ,189723 + ,127 + ,273950 + ,56 + ,69867 + ,100826 + ,151 + ,428077 + ,128 + ,101629 + ,188355 + ,100 + ,254312 + ,93 + ,70168 + ,104470 + ,46 + ,120351 + ,35 + ,31081 + ,58391 + ,156 + ,395658 + ,212 + ,103925 + ,164808 + ,128 + ,345875 + ,86 + ,92622 + ,134097 + ,111 + ,216827 + ,82 + ,79011 + ,80238 + ,119 + ,224524 + ,83 + ,93487 + ,133252 + ,148 + ,182485 + ,69 + ,64520 + ,54518 + ,65 + ,157164 + ,85 + ,93473 + ,121850 + ,134 + ,459455 + ,157 + ,114360 + ,79367 + ,66 + ,78800 + ,42 + ,33032 + ,56968 + ,201 + ,255072 + ,85 + ,96125 + ,106314 + ,177 + ,368086 + ,123 + ,151911 + ,191889 + ,156 + ,230299 + ,70 + ,89256 + ,104864 + ,158 + ,244782 + ,81 + ,95676 + ,160792 + ,7 + ,24188 + ,24 + ,5950 + ,15049 + ,175 + ,400109 + ,334 + ,149695 + ,191179 + ,61 + ,65029 + ,17 + ,32551 + ,25109 + ,41 + ,101097 + ,64 + ,31701 + ,45824 + ,133 + ,309810 + ,67 + ,100087 + ,129711 + ,228 + ,375638 + ,91 + ,169707 + ,210012 + ,140 + ,367127 + ,204 + ,150491 + ,194679 + ,155 + ,381998 + ,155 + ,120192 + ,197680 + ,141 + ,280106 + ,90 + ,95893 + ,81180 + ,181 + ,400971 + ,153 + ,151715 + ,197765 + ,75 + ,315924 + ,122 + ,176225 + ,214738 + ,97 + ,291391 + ,124 + ,59900 + ,96252 + ,142 + ,295075 + ,93 + ,104767 + ,124527 + ,136 + ,280018 + ,81 + ,114799 + ,153242 + ,87 + ,267432 + ,71 + ,72128 + ,145707 + ,140 + ,217181 + ,141 + ,143592 + ,113963 + ,169 + ,258166 + ,159 + ,89626 + ,134904 + ,129 + ,264771 + ,88 + ,131072 + ,114268 + ,92 + ,182961 + ,73 + ,126817 + ,94333 + ,160 + ,256967 + ,74 + ,81351 + ,102204 + ,67 + ,73566 + ,32 + ,22618 + ,23824 + ,179 + ,272362 + ,93 + ,88977 + ,111563 + ,90 + ,229056 + ,62 + ,92059 + ,91313 + ,144 + ,229851 + ,70 + ,81897 + ,89770 + ,144 + ,371391 + ,91 + ,108146 + ,100125 + ,144 + ,398210 + ,104 + ,126372 + ,165278 + ,134 + ,220419 + ,111 + ,249771 + ,181712 + ,146 + ,231884 + ,72 + ,71154 + ,80906 + ,121 + ,219381 + ,73 + ,71571 + ,75881 + ,112 + ,206169 + ,54 + ,55918 + ,83963 + ,145 + ,483074 + ,132 + ,160141 + ,175721 + ,99 + ,146100 + ,72 + ,38692 + ,68580 + ,96 + ,295224 + ,109 + ,102812 + ,136323 + ,27 + ,80953 + ,25 + ,56622 + ,55792 + ,77 + ,217384 + ,63 + ,15986 + ,25157 + ,137 + ,179344 + ,62 + ,123534 + ,100922 + ,151 + ,415550 + ,222 + ,108535 + ,118845 + ,126 + ,389059 + ,129 + ,93879 + ,170492 + ,159 + ,180679 + ,106 + ,144551 + ,81716 + ,101 + ,299505 + ,104 + ,56750 + ,115750 + ,144 + ,292260 + ,84 + ,127654 + ,105590 + ,102 + ,199481 + ,68 + ,65594 + ,92795 + ,135 + ,282361 + ,78 + ,59938 + ,82390 + ,147 + ,329281 + ,89 + ,146975 + ,135599 + ,155 + ,234577 + ,48 + ,165904 + ,127667 + ,138 + ,297995 + ,67 + ,169265 + ,163073 + ,113 + ,342490 + ,90 + ,183500 + ,211381 + ,248 + ,416463 + ,163 + ,165986 + ,189944 + ,116 + ,429565 + ,120 + ,184923 + ,226168 + ,176 + ,297080 + ,142 + ,140358 + ,117495 + ,140 + ,331792 + ,71 + ,149959 + ,195894 + ,59 + ,229772 + ,202 + ,57224 + ,80684 + ,64 + ,43287 + ,14 + ,43750 + ,19630 + ,40 + ,238089 + ,87 + ,48029 + ,88634 + ,98 + ,263322 + ,160 + ,104978 + ,139292 + ,139 + ,302082 + ,61 + ,100046 + ,128602 + ,135 + ,321797 + ,95 + ,101047 + ,135848 + ,97 + ,193926 + ,96 + ,197426 + ,178377 + ,142 + ,175138 + ,105 + ,160902 + ,106330 + ,155 + ,354041 + ,78 + ,147172 + ,178303 + ,115 + ,303273 + ,91 + ,109432 + ,116938 + ,0 + ,23668 + ,13 + ,1168 + ,5841 + ,103 + ,196743 + ,79 + ,83248 + ,106020 + ,30 + ,61857 + ,25 + ,25162 + ,24610 + ,130 + ,217543 + ,54 + ,45724 + ,74151 + ,102 + ,440711 + ,128 + ,110529 + ,232241 + ,0 + ,21054 + ,16 + ,855 + ,6622 + ,77 + ,252805 + ,52 + ,101382 + ,127097 + ,9 + ,31961 + ,22 + ,14116 + ,13155 + ,150 + ,360436 + ,125 + ,89506 + ,160501 + ,163 + ,251948 + ,77 + ,135356 + ,91502 + ,148 + ,187320 + ,97 + ,116066 + ,24469 + ,94 + ,180842 + ,58 + ,144244 + ,88229 + ,21 + ,38214 + ,34 + ,8773 + ,13983 + ,151 + ,280392 + ,56 + ,102153 + ,80716 + ,187 + ,358276 + ,84 + ,117440 + ,157384 + ,171 + ,211775 + ,67 + ,104128 + ,122975 + ,170 + ,447335 + ,90 + ,134238 + ,191469 + ,145 + ,348017 + ,99 + ,134047 + ,231257 + ,198 + ,441946 + ,133 + ,279488 + ,258287 + ,152 + ,215177 + ,43 + ,79756 + ,122531 + ,112 + ,130177 + ,47 + ,66089 + ,61394 + ,173 + ,318037 + ,365 + ,102070 + ,86480 + ,177 + ,466139 + ,198 + ,146760 + ,195791 + ,153 + ,162279 + ,62 + ,154771 + ,18284 + ,161 + ,416643 + ,140 + ,165933 + ,147581 + ,115 + ,178322 + ,86 + ,64593 + ,72558 + ,147 + ,292443 + ,54 + ,92280 + ,147341 + ,124 + ,283913 + ,100 + ,67150 + ,114651 + ,57 + ,244931 + ,127 + ,128692 + ,100187 + ,144 + ,387072 + ,125 + ,124089 + ,130332 + ,126 + ,246963 + ,93 + ,125386 + ,134218 + ,78 + ,173260 + ,63 + ,37238 + ,10901 + ,153 + ,346748 + ,108 + ,140015 + ,145758 + ,196 + ,178402 + ,60 + ,150047 + ,75767 + ,130 + ,268750 + ,96 + ,154451 + ,134969 + ,159 + ,314070 + ,112 + ,156349 + ,169216 + ,0 + ,1 + ,0 + ,0 + ,0 + ,0 + ,14688 + ,10 + ,6023 + ,7953 + ,0 + ,98 + ,1 + ,0 + ,0 + ,0 + ,455 + ,2 + ,0 + ,0 + ,0 + ,0 + ,0 + ,0 + ,0 + ,0 + ,0 + ,0 + ,0 + ,0 + ,94 + ,291847 + ,95 + ,84601 + ,105406 + ,129 + ,415421 + ,168 + ,68946 + ,174586 + ,0 + ,0 + ,0 + ,0 + ,0 + ,0 + ,203 + ,4 + ,0 + ,0 + ,0 + ,7199 + ,5 + ,1644 + ,4245 + ,13 + ,46660 + ,21 + ,6179 + ,21509 + ,4 + ,17547 + ,5 + ,3926 + ,7670 + ,89 + ,121550 + ,46 + ,52789 + ,15673 + ,0 + ,969 + ,2 + ,0 + ,0 + ,71 + ,242774 + ,75 + ,100350 + ,75882) + ,dim=c(5 + ,164) + ,dimnames=list(c('LongPR' + ,'Time' + ,'Log' + ,'CompChar' + ,'CompSec') + ,1:164)) > y <- array(NA,dim=c(5,164),dimnames=list(c('LongPR','Time','Log','CompChar','CompSec'),1:164)) > 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' > #'GNU S' R Code compiled by R2WASP v. 1.0.44 () > #Author: Prof. Dr. P. Wessa > #To cite this work: AUTHOR(S), (YEAR), YOUR SOFTWARE TITLE (vNUMBER) in Free Statistics Software (v$_version), Office for Research Development and Education, URL http://www.wessa.net/rwasp_YOURPAGE.wasp/ > #Source of accompanying publication: Office for Research, Development, and Education > #Technical description: Write here your technical program description (don't use hard returns!) > library(lattice) > library(lmtest) Loading required package: zoo > 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 LongPR Time Log CompChar CompSec 1 130 279055 73 140824 186099 2 143 212408 75 110459 113854 3 118 233939 83 105079 99776 4 146 222117 106 112098 106194 5 73 189911 56 43929 100792 6 89 70849 28 76173 47552 7 146 605767 135 187326 250931 8 22 33186 19 22807 6853 9 132 227332 62 144408 115466 10 92 267925 49 66485 110896 11 147 371987 122 79089 169351 12 203 264989 131 81625 94853 13 113 212638 87 68788 72591 14 171 368577 85 103297 101345 15 87 269455 88 69446 113713 16 208 398124 191 114948 165354 17 153 335567 77 167949 164263 18 97 432711 173 125081 135213 19 95 182016 58 125818 111669 20 197 267365 89 136588 134163 21 160 279428 73 112431 140303 22 148 508849 111 103037 150773 23 84 220142 49 82317 111848 24 227 200004 58 118906 102509 25 154 257139 133 83515 96785 26 151 270941 138 104581 116136 27 142 324969 134 103129 158376 28 148 329962 92 83243 153990 29 110 190867 60 37110 64057 30 149 393860 79 113344 230054 31 179 327660 89 139165 184531 32 149 269239 83 86652 114198 33 187 396136 106 112302 198299 34 153 130446 49 69652 33750 35 163 430118 104 119442 189723 36 127 273950 56 69867 100826 37 151 428077 128 101629 188355 38 100 254312 93 70168 104470 39 46 120351 35 31081 58391 40 156 395658 212 103925 164808 41 128 345875 86 92622 134097 42 111 216827 82 79011 80238 43 119 224524 83 93487 133252 44 148 182485 69 64520 54518 45 65 157164 85 93473 121850 46 134 459455 157 114360 79367 47 66 78800 42 33032 56968 48 201 255072 85 96125 106314 49 177 368086 123 151911 191889 50 156 230299 70 89256 104864 51 158 244782 81 95676 160792 52 7 24188 24 5950 15049 53 175 400109 334 149695 191179 54 61 65029 17 32551 25109 55 41 101097 64 31701 45824 56 133 309810 67 100087 129711 57 228 375638 91 169707 210012 58 140 367127 204 150491 194679 59 155 381998 155 120192 197680 60 141 280106 90 95893 81180 61 181 400971 153 151715 197765 62 75 315924 122 176225 214738 63 97 291391 124 59900 96252 64 142 295075 93 104767 124527 65 136 280018 81 114799 153242 66 87 267432 71 72128 145707 67 140 217181 141 143592 113963 68 169 258166 159 89626 134904 69 129 264771 88 131072 114268 70 92 182961 73 126817 94333 71 160 256967 74 81351 102204 72 67 73566 32 22618 23824 73 179 272362 93 88977 111563 74 90 229056 62 92059 91313 75 144 229851 70 81897 89770 76 144 371391 91 108146 100125 77 144 398210 104 126372 165278 78 134 220419 111 249771 181712 79 146 231884 72 71154 80906 80 121 219381 73 71571 75881 81 112 206169 54 55918 83963 82 145 483074 132 160141 175721 83 99 146100 72 38692 68580 84 96 295224 109 102812 136323 85 27 80953 25 56622 55792 86 77 217384 63 15986 25157 87 137 179344 62 123534 100922 88 151 415550 222 108535 118845 89 126 389059 129 93879 170492 90 159 180679 106 144551 81716 91 101 299505 104 56750 115750 92 144 292260 84 127654 105590 93 102 199481 68 65594 92795 94 135 282361 78 59938 82390 95 147 329281 89 146975 135599 96 155 234577 48 165904 127667 97 138 297995 67 169265 163073 98 113 342490 90 183500 211381 99 248 416463 163 165986 189944 100 116 429565 120 184923 226168 101 176 297080 142 140358 117495 102 140 331792 71 149959 195894 103 59 229772 202 57224 80684 104 64 43287 14 43750 19630 105 40 238089 87 48029 88634 106 98 263322 160 104978 139292 107 139 302082 61 100046 128602 108 135 321797 95 101047 135848 109 97 193926 96 197426 178377 110 142 175138 105 160902 106330 111 155 354041 78 147172 178303 112 115 303273 91 109432 116938 113 0 23668 13 1168 5841 114 103 196743 79 83248 106020 115 30 61857 25 25162 24610 116 130 217543 54 45724 74151 117 102 440711 128 110529 232241 118 0 21054 16 855 6622 119 77 252805 52 101382 127097 120 9 31961 22 14116 13155 121 150 360436 125 89506 160501 122 163 251948 77 135356 91502 123 148 187320 97 116066 24469 124 94 180842 58 144244 88229 125 21 38214 34 8773 13983 126 151 280392 56 102153 80716 127 187 358276 84 117440 157384 128 171 211775 67 104128 122975 129 170 447335 90 134238 191469 130 145 348017 99 134047 231257 131 198 441946 133 279488 258287 132 152 215177 43 79756 122531 133 112 130177 47 66089 61394 134 173 318037 365 102070 86480 135 177 466139 198 146760 195791 136 153 162279 62 154771 18284 137 161 416643 140 165933 147581 138 115 178322 86 64593 72558 139 147 292443 54 92280 147341 140 124 283913 100 67150 114651 141 57 244931 127 128692 100187 142 144 387072 125 124089 130332 143 126 246963 93 125386 134218 144 78 173260 63 37238 10901 145 153 346748 108 140015 145758 146 196 178402 60 150047 75767 147 130 268750 96 154451 134969 148 159 314070 112 156349 169216 149 0 1 0 0 0 150 0 14688 10 6023 7953 151 0 98 1 0 0 152 0 455 2 0 0 153 0 0 0 0 0 154 0 0 0 0 0 155 94 291847 95 84601 105406 156 129 415421 168 68946 174586 157 0 0 0 0 0 158 0 203 4 0 0 159 0 7199 5 1644 4245 160 13 46660 21 6179 21509 161 4 17547 5 3926 7670 162 89 121550 46 52789 15673 163 0 969 2 0 0 164 71 242774 75 100350 75882 > k <- length(x[1,]) > df <- as.data.frame(x) > (mylm <- lm(df)) Call: lm(formula = df) Coefficients: (Intercept) Time Log CompChar CompSec 25.6282458 0.0002420 0.0550932 0.0004941 -0.0001813 > (mysum <- summary(mylm)) Call: lm(formula = df) Residuals: Min 1Q Median 3Q Max -81.944 -24.367 -0.955 19.393 109.608 Coefficients: Estimate Std. Error t value Pr(>|t|) (Intercept) 2.563e+01 6.123e+00 4.186 4.70e-05 *** Time 2.420e-04 4.862e-05 4.977 1.66e-06 *** Log 5.509e-02 6.997e-02 0.787 0.4322 CompChar 4.941e-04 8.403e-05 5.880 2.34e-08 *** CompSec -1.813e-04 1.014e-04 -1.788 0.0756 . --- Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 Residual standard error: 33.83 on 159 degrees of freedom Multiple R-squared: 0.6364, Adjusted R-squared: 0.6273 F-statistic: 69.58 on 4 and 159 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 + } [,1] [,2] [,3] [1,] 0.14151461 2.830292e-01 8.584854e-01 [2,] 0.05671898 1.134380e-01 9.432810e-01 [3,] 0.10700804 2.140161e-01 8.929920e-01 [4,] 0.07302549 1.460510e-01 9.269745e-01 [5,] 0.13640420 2.728084e-01 8.635958e-01 [6,] 0.08574773 1.714955e-01 9.142523e-01 [7,] 0.21276675 4.255335e-01 7.872333e-01 [8,] 0.21006865 4.201373e-01 7.899313e-01 [9,] 0.16927087 3.385417e-01 8.307291e-01 [10,] 0.12071882 2.414376e-01 8.792812e-01 [11,] 0.71456320 5.708736e-01 2.854368e-01 [12,] 0.68336591 6.332682e-01 3.166341e-01 [13,] 0.77874116 4.425177e-01 2.212588e-01 [14,] 0.78143456 4.371309e-01 2.185654e-01 [15,] 0.75268201 4.946360e-01 2.473180e-01 [16,] 0.70545576 5.890885e-01 2.945442e-01 [17,] 0.96078984 7.842033e-02 3.921016e-02 [18,] 0.94876494 1.024701e-01 5.123506e-02 [19,] 0.93313186 1.337363e-01 6.686814e-02 [20,] 0.91173933 1.765213e-01 8.826067e-02 [21,] 0.90277121 1.944576e-01 9.722879e-02 [22,] 0.88629547 2.274091e-01 1.137045e-01 [23,] 0.86219868 2.756026e-01 1.378013e-01 [24,] 0.84914533 3.017093e-01 1.508547e-01 [25,] 0.83357451 3.328510e-01 1.664255e-01 [26,] 0.84023320 3.195336e-01 1.597668e-01 [27,] 0.88573831 2.285234e-01 1.142617e-01 [28,] 0.85925999 2.814800e-01 1.407400e-01 [29,] 0.83431967 3.313607e-01 1.656803e-01 [30,] 0.79746945 4.050611e-01 2.025306e-01 [31,] 0.77503805 4.499239e-01 2.249620e-01 [32,] 0.77184940 4.563012e-01 2.281506e-01 [33,] 0.74959200 5.008160e-01 2.504080e-01 [34,] 0.70589617 5.882077e-01 2.941038e-01 [35,] 0.66275945 6.744811e-01 3.372406e-01 [36,] 0.62157765 7.568447e-01 3.784224e-01 [37,] 0.65375664 6.924867e-01 3.462434e-01 [38,] 0.72336737 5.532653e-01 2.766326e-01 [39,] 0.76203660 4.759268e-01 2.379634e-01 [40,] 0.73432167 5.313567e-01 2.656783e-01 [41,] 0.86850569 2.629886e-01 1.314943e-01 [42,] 0.84366488 3.126702e-01 1.563351e-01 [43,] 0.85440470 2.911906e-01 1.455953e-01 [44,] 0.87382588 2.523482e-01 1.261741e-01 [45,] 0.89189738 2.162052e-01 1.081026e-01 [46,] 0.88883164 2.223367e-01 1.111684e-01 [47,] 0.86906373 2.618725e-01 1.309363e-01 [48,] 0.86604789 2.679042e-01 1.339521e-01 [49,] 0.83844946 3.231011e-01 1.615505e-01 [50,] 0.88305451 2.338910e-01 1.169455e-01 [51,] 0.88459979 2.308004e-01 1.154002e-01 [52,] 0.86224079 2.755184e-01 1.377592e-01 [53,] 0.83561791 3.287642e-01 1.643821e-01 [54,] 0.80907120 3.818576e-01 1.909288e-01 [55,] 0.94624641 1.075072e-01 5.375359e-02 [56,] 0.93690010 1.261998e-01 6.309990e-02 [57,] 0.92260923 1.547815e-01 7.739077e-02 [58,] 0.90695424 1.860915e-01 9.304576e-02 [59,] 0.89294304 2.141139e-01 1.070570e-01 [60,] 0.87361490 2.527702e-01 1.263851e-01 [61,] 0.90891941 1.821612e-01 9.108059e-02 [62,] 0.89295517 2.140897e-01 1.070448e-01 [63,] 0.89353608 2.129278e-01 1.064639e-01 [64,] 0.91027066 1.794587e-01 8.972934e-02 [65,] 0.89580852 2.083830e-01 1.041915e-01 [66,] 0.93368534 1.326293e-01 6.631466e-02 [67,] 0.92840218 1.431956e-01 7.159782e-02 [68,] 0.92960774 1.407845e-01 7.039226e-02 [69,] 0.91643474 1.671305e-01 8.356526e-02 [70,] 0.90155201 1.968960e-01 9.844799e-02 [71,] 0.90848887 1.830223e-01 9.151113e-02 [72,] 0.91599706 1.680059e-01 8.400294e-02 [73,] 0.90255884 1.948823e-01 9.744116e-02 [74,] 0.89263748 2.147250e-01 1.073625e-01 [75,] 0.91958340 1.608332e-01 8.041660e-02 [76,] 0.92043528 1.591294e-01 7.956472e-02 [77,] 0.92012026 1.597595e-01 7.987974e-02 [78,] 0.93021453 1.395709e-01 6.978547e-02 [79,] 0.91671783 1.665643e-01 8.328217e-02 [80,] 0.90970250 1.805950e-01 9.029750e-02 [81,] 0.89753918 2.049216e-01 1.024608e-01 [82,] 0.88020668 2.395866e-01 1.197933e-01 [83,] 0.87697412 2.460518e-01 1.230259e-01 [84,] 0.85523310 2.895338e-01 1.447669e-01 [85,] 0.82734202 3.453160e-01 1.726580e-01 [86,] 0.80395204 3.920959e-01 1.960480e-01 [87,] 0.78321416 4.335717e-01 2.167858e-01 [88,] 0.75167947 4.966411e-01 2.483205e-01 [89,] 0.72079187 5.584163e-01 2.792081e-01 [90,] 0.68778521 6.244296e-01 3.122148e-01 [91,] 0.72863519 5.427296e-01 2.713648e-01 [92,] 0.85081632 2.983674e-01 1.491837e-01 [93,] 0.92291551 1.541690e-01 7.708449e-02 [94,] 0.91641018 1.671796e-01 8.358982e-02 [95,] 0.89668941 2.066212e-01 1.033106e-01 [96,] 0.91235415 1.752917e-01 8.764585e-02 [97,] 0.90021196 1.995761e-01 9.978804e-02 [98,] 0.93414264 1.317147e-01 6.585736e-02 [99,] 0.92470013 1.505997e-01 7.529987e-02 [100,] 0.90821465 1.835707e-01 9.178535e-02 [101,] 0.88628151 2.274370e-01 1.137185e-01 [102,] 0.89691875 2.061625e-01 1.030812e-01 [103,] 0.87601912 2.479618e-01 1.239809e-01 [104,] 0.84841376 3.031725e-01 1.515862e-01 [105,] 0.83052744 3.389451e-01 1.694726e-01 [106,] 0.82605862 3.478828e-01 1.739414e-01 [107,] 0.79561481 4.087704e-01 2.043852e-01 [108,] 0.77013661 4.597268e-01 2.298634e-01 [109,] 0.80075011 3.984998e-01 1.992499e-01 [110,] 0.84190121 3.161976e-01 1.580988e-01 [111,] 0.83054473 3.389105e-01 1.694553e-01 [112,] 0.84373767 3.125247e-01 1.562623e-01 [113,] 0.82946209 3.410758e-01 1.705379e-01 [114,] 0.80091447 3.981711e-01 1.990855e-01 [115,] 0.78192722 4.361456e-01 2.180728e-01 [116,] 0.76856858 4.628628e-01 2.314314e-01 [117,] 0.76261545 4.747691e-01 2.373845e-01 [118,] 0.72483505 5.503299e-01 2.751649e-01 [119,] 0.70261339 5.947732e-01 2.973866e-01 [120,] 0.73592074 5.281585e-01 2.640793e-01 [121,] 0.85584436 2.883113e-01 1.441556e-01 [122,] 0.82016839 3.596632e-01 1.798316e-01 [123,] 0.77994373 4.401125e-01 2.200563e-01 [124,] 0.83362163 3.327567e-01 1.663784e-01 [125,] 0.91478158 1.704368e-01 8.521842e-02 [126,] 0.93232041 1.353592e-01 6.767959e-02 [127,] 0.95536069 8.927862e-02 4.463931e-02 [128,] 0.94212226 1.157555e-01 5.787774e-02 [129,] 0.93085563 1.382887e-01 6.914437e-02 [130,] 0.92357667 1.528467e-01 7.642333e-02 [131,] 0.96521314 6.957372e-02 3.478686e-02 [132,] 0.94969570 1.006086e-01 5.030430e-02 [133,] 0.95178925 9.642150e-02 4.821075e-02 [134,] 0.99974227 5.154564e-04 2.577282e-04 [135,] 0.99945542 1.089168e-03 5.445841e-04 [136,] 0.99894583 2.108350e-03 1.054175e-03 [137,] 0.99780820 4.383606e-03 2.191803e-03 [138,] 0.99869271 2.614582e-03 1.307291e-03 [139,] 0.99997836 4.328601e-05 2.164301e-05 [140,] 0.99998345 3.309424e-05 1.654712e-05 [141,] 1.00000000 9.015127e-14 4.507564e-14 [142,] 1.00000000 2.009075e-12 1.004537e-12 [143,] 1.00000000 4.017724e-13 2.008862e-13 [144,] 1.00000000 1.383612e-11 6.918060e-12 [145,] 1.00000000 3.667539e-10 1.833770e-10 [146,] 0.99999999 1.158146e-08 5.790730e-09 [147,] 0.99999983 3.417343e-07 1.708672e-07 [148,] 0.99999632 7.352037e-06 3.676019e-06 [149,] 0.99994563 1.087326e-04 5.436629e-05 > postscript(file="/var/wessaorg/rcomp/tmp/1bmum1324651191.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$resid) > grid() > dev.off() null device 1 > postscript(file="/var/wessaorg/rcomp/tmp/2o9uv1324651191.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > plot(mysum$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/3wl7b1324651191.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > hist(mysum$resid, main='Residual Histogram', xlab='values of Residuals') > grid() > dev.off() null device 1 > postscript(file="/var/wessaorg/rcomp/tmp/47sqd1324651191.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > densityplot(~mysum$resid,col='black',main='Residual Density Plot', xlab='values of Residuals') > dev.off() null device 1 > postscript(file="/var/wessaorg/rcomp/tmp/5fjr21324651191.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 = 164 Frequency = 1 1 2 3 4 5 6 -3.0228057 27.9005338 -2.6452203 24.6442732 -5.1041143 15.6678168 7 8 9 10 11 12 -80.7278364 -22.7327348 -2.4769011 -13.9115396 16.2536900 82.8918779 13 14 15 16 17 18 10.2917857 18.8257972 -22.3827156 48.6842319 -11.2812656 -80.1661892 19 20 21 22 23 24 -19.7927465 58.6010741 32.6124144 -30.4634133 -17.9975324 109.6083496 25 26 27 28 29 30 35.0979230 21.5821539 8.1033430 24.2393095 28.1528374 9.4101620 31 32 33 34 35 36 33.8682093 31.5314954 40.1290511 64.8073022 2.9324321 15.7478208 37 38 39 40 41 42 -1.3425153 -8.0260479 -15.4526479 1.4715268 -7.5222749 3.8888067 43 44 45 46 47 48 12.4305722 52.4127196 -27.4382370 -53.5854511 12.9954662 80.7397866 49 50 51 52 53 54 15.2478619 45.6925625 50.5499255 -26.0155168 -5.1605069 7.1666930 55 56 57 58 59 60 -19.9756038 2.7688996 60.6761549 -24.7751138 4.8403489 9.9633202 61 62 63 64 65 66 10.7988070 -81.9439871 -18.1240632 10.6501800 9.2048799 -16.4807535 67 68 69 70 71 72 3.7580497 52.3090296 -9.5978532 -27.4847109 46.4418197 14.9491504 73 74 75 76 77 78 58.5982227 -23.4078203 34.7003018 -11.8028678 -16.2018378 -41.5518652 79 80 81 82 83 84 39.7990454 16.6526623 21.0963832 -52.0741612 27.3642064 -33.1626259 85 86 87 88 89 90 -37.4580169 -8.0455986 21.8134709 -19.5050088 -16.3644039 27.1994889 91 92 93 94 95 96 -9.8941946 -0.9147110 8.7641070 22.0634240 -11.2550650 11.1321029 97 98 99 100 101 102 -17.5035262 -52.8134874 65.0293096 -70.5613282 22.6049052 -8.4131305 103 104 105 106 107 108 -47.0094001 9.0669229 -55.7017917 -26.7836688 10.7888940 0.9637038 109 110 111 112 113 114 -46.0549647 7.9794143 -0.9957098 -21.9045973 -31.5904055 3.4957618 115 116 117 118 119 120 -19.9459751 39.6015504 -49.8404003 -30.8268113 -39.7227270 -30.1646963 121 122 123 124 125 126 15.1322107 21.8669509 18.7828573 -33.8628972 -17.5490055 18.5900853 127 128 129 130 131 132 40.5464579 61.2763786 -0.4570653 5.3915591 -33.1747071 54.7369736 133 134 135 136 137 138 30.7553118 15.5419152 -9.3613587 11.5257677 -28.4019316 22.7184609 139 140 141 142 143 144 28.7421003 11.7617070 -80.3221359 -19.8714619 -2.1369389 -9.4525481 145 146 147 148 149 150 -5.2481283 63.4906282 -17.7997130 4.6225609 -25.6284878 -31.2677897 151 152 153 154 155 156 -25.7070560 -25.8485468 -25.6282458 -25.6282458 -30.1817055 -8.8312413 157 158 159 160 161 162 -25.6282458 -25.8977467 -27.6885631 -24.2305486 -26.6994171 8.1798793 163 164 -25.9729401 -53.3383601 > postscript(file="/var/wessaorg/rcomp/tmp/65v021324651191.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 = 164 Frequency = 1 lag(myerror, k = 1) myerror 0 -3.0228057 NA 1 27.9005338 -3.0228057 2 -2.6452203 27.9005338 3 24.6442732 -2.6452203 4 -5.1041143 24.6442732 5 15.6678168 -5.1041143 6 -80.7278364 15.6678168 7 -22.7327348 -80.7278364 8 -2.4769011 -22.7327348 9 -13.9115396 -2.4769011 10 16.2536900 -13.9115396 11 82.8918779 16.2536900 12 10.2917857 82.8918779 13 18.8257972 10.2917857 14 -22.3827156 18.8257972 15 48.6842319 -22.3827156 16 -11.2812656 48.6842319 17 -80.1661892 -11.2812656 18 -19.7927465 -80.1661892 19 58.6010741 -19.7927465 20 32.6124144 58.6010741 21 -30.4634133 32.6124144 22 -17.9975324 -30.4634133 23 109.6083496 -17.9975324 24 35.0979230 109.6083496 25 21.5821539 35.0979230 26 8.1033430 21.5821539 27 24.2393095 8.1033430 28 28.1528374 24.2393095 29 9.4101620 28.1528374 30 33.8682093 9.4101620 31 31.5314954 33.8682093 32 40.1290511 31.5314954 33 64.8073022 40.1290511 34 2.9324321 64.8073022 35 15.7478208 2.9324321 36 -1.3425153 15.7478208 37 -8.0260479 -1.3425153 38 -15.4526479 -8.0260479 39 1.4715268 -15.4526479 40 -7.5222749 1.4715268 41 3.8888067 -7.5222749 42 12.4305722 3.8888067 43 52.4127196 12.4305722 44 -27.4382370 52.4127196 45 -53.5854511 -27.4382370 46 12.9954662 -53.5854511 47 80.7397866 12.9954662 48 15.2478619 80.7397866 49 45.6925625 15.2478619 50 50.5499255 45.6925625 51 -26.0155168 50.5499255 52 -5.1605069 -26.0155168 53 7.1666930 -5.1605069 54 -19.9756038 7.1666930 55 2.7688996 -19.9756038 56 60.6761549 2.7688996 57 -24.7751138 60.6761549 58 4.8403489 -24.7751138 59 9.9633202 4.8403489 60 10.7988070 9.9633202 61 -81.9439871 10.7988070 62 -18.1240632 -81.9439871 63 10.6501800 -18.1240632 64 9.2048799 10.6501800 65 -16.4807535 9.2048799 66 3.7580497 -16.4807535 67 52.3090296 3.7580497 68 -9.5978532 52.3090296 69 -27.4847109 -9.5978532 70 46.4418197 -27.4847109 71 14.9491504 46.4418197 72 58.5982227 14.9491504 73 -23.4078203 58.5982227 74 34.7003018 -23.4078203 75 -11.8028678 34.7003018 76 -16.2018378 -11.8028678 77 -41.5518652 -16.2018378 78 39.7990454 -41.5518652 79 16.6526623 39.7990454 80 21.0963832 16.6526623 81 -52.0741612 21.0963832 82 27.3642064 -52.0741612 83 -33.1626259 27.3642064 84 -37.4580169 -33.1626259 85 -8.0455986 -37.4580169 86 21.8134709 -8.0455986 87 -19.5050088 21.8134709 88 -16.3644039 -19.5050088 89 27.1994889 -16.3644039 90 -9.8941946 27.1994889 91 -0.9147110 -9.8941946 92 8.7641070 -0.9147110 93 22.0634240 8.7641070 94 -11.2550650 22.0634240 95 11.1321029 -11.2550650 96 -17.5035262 11.1321029 97 -52.8134874 -17.5035262 98 65.0293096 -52.8134874 99 -70.5613282 65.0293096 100 22.6049052 -70.5613282 101 -8.4131305 22.6049052 102 -47.0094001 -8.4131305 103 9.0669229 -47.0094001 104 -55.7017917 9.0669229 105 -26.7836688 -55.7017917 106 10.7888940 -26.7836688 107 0.9637038 10.7888940 108 -46.0549647 0.9637038 109 7.9794143 -46.0549647 110 -0.9957098 7.9794143 111 -21.9045973 -0.9957098 112 -31.5904055 -21.9045973 113 3.4957618 -31.5904055 114 -19.9459751 3.4957618 115 39.6015504 -19.9459751 116 -49.8404003 39.6015504 117 -30.8268113 -49.8404003 118 -39.7227270 -30.8268113 119 -30.1646963 -39.7227270 120 15.1322107 -30.1646963 121 21.8669509 15.1322107 122 18.7828573 21.8669509 123 -33.8628972 18.7828573 124 -17.5490055 -33.8628972 125 18.5900853 -17.5490055 126 40.5464579 18.5900853 127 61.2763786 40.5464579 128 -0.4570653 61.2763786 129 5.3915591 -0.4570653 130 -33.1747071 5.3915591 131 54.7369736 -33.1747071 132 30.7553118 54.7369736 133 15.5419152 30.7553118 134 -9.3613587 15.5419152 135 11.5257677 -9.3613587 136 -28.4019316 11.5257677 137 22.7184609 -28.4019316 138 28.7421003 22.7184609 139 11.7617070 28.7421003 140 -80.3221359 11.7617070 141 -19.8714619 -80.3221359 142 -2.1369389 -19.8714619 143 -9.4525481 -2.1369389 144 -5.2481283 -9.4525481 145 63.4906282 -5.2481283 146 -17.7997130 63.4906282 147 4.6225609 -17.7997130 148 -25.6284878 4.6225609 149 -31.2677897 -25.6284878 150 -25.7070560 -31.2677897 151 -25.8485468 -25.7070560 152 -25.6282458 -25.8485468 153 -25.6282458 -25.6282458 154 -30.1817055 -25.6282458 155 -8.8312413 -30.1817055 156 -25.6282458 -8.8312413 157 -25.8977467 -25.6282458 158 -27.6885631 -25.8977467 159 -24.2305486 -27.6885631 160 -26.6994171 -24.2305486 161 8.1798793 -26.6994171 162 -25.9729401 8.1798793 163 -53.3383601 -25.9729401 164 NA -53.3383601 > dum1 <- dum[2:length(myerror),] > dum1 lag(myerror, k = 1) myerror [1,] 27.9005338 -3.0228057 [2,] -2.6452203 27.9005338 [3,] 24.6442732 -2.6452203 [4,] -5.1041143 24.6442732 [5,] 15.6678168 -5.1041143 [6,] -80.7278364 15.6678168 [7,] -22.7327348 -80.7278364 [8,] -2.4769011 -22.7327348 [9,] -13.9115396 -2.4769011 [10,] 16.2536900 -13.9115396 [11,] 82.8918779 16.2536900 [12,] 10.2917857 82.8918779 [13,] 18.8257972 10.2917857 [14,] -22.3827156 18.8257972 [15,] 48.6842319 -22.3827156 [16,] -11.2812656 48.6842319 [17,] -80.1661892 -11.2812656 [18,] -19.7927465 -80.1661892 [19,] 58.6010741 -19.7927465 [20,] 32.6124144 58.6010741 [21,] -30.4634133 32.6124144 [22,] -17.9975324 -30.4634133 [23,] 109.6083496 -17.9975324 [24,] 35.0979230 109.6083496 [25,] 21.5821539 35.0979230 [26,] 8.1033430 21.5821539 [27,] 24.2393095 8.1033430 [28,] 28.1528374 24.2393095 [29,] 9.4101620 28.1528374 [30,] 33.8682093 9.4101620 [31,] 31.5314954 33.8682093 [32,] 40.1290511 31.5314954 [33,] 64.8073022 40.1290511 [34,] 2.9324321 64.8073022 [35,] 15.7478208 2.9324321 [36,] -1.3425153 15.7478208 [37,] -8.0260479 -1.3425153 [38,] -15.4526479 -8.0260479 [39,] 1.4715268 -15.4526479 [40,] -7.5222749 1.4715268 [41,] 3.8888067 -7.5222749 [42,] 12.4305722 3.8888067 [43,] 52.4127196 12.4305722 [44,] -27.4382370 52.4127196 [45,] -53.5854511 -27.4382370 [46,] 12.9954662 -53.5854511 [47,] 80.7397866 12.9954662 [48,] 15.2478619 80.7397866 [49,] 45.6925625 15.2478619 [50,] 50.5499255 45.6925625 [51,] -26.0155168 50.5499255 [52,] -5.1605069 -26.0155168 [53,] 7.1666930 -5.1605069 [54,] -19.9756038 7.1666930 [55,] 2.7688996 -19.9756038 [56,] 60.6761549 2.7688996 [57,] -24.7751138 60.6761549 [58,] 4.8403489 -24.7751138 [59,] 9.9633202 4.8403489 [60,] 10.7988070 9.9633202 [61,] -81.9439871 10.7988070 [62,] -18.1240632 -81.9439871 [63,] 10.6501800 -18.1240632 [64,] 9.2048799 10.6501800 [65,] -16.4807535 9.2048799 [66,] 3.7580497 -16.4807535 [67,] 52.3090296 3.7580497 [68,] -9.5978532 52.3090296 [69,] -27.4847109 -9.5978532 [70,] 46.4418197 -27.4847109 [71,] 14.9491504 46.4418197 [72,] 58.5982227 14.9491504 [73,] -23.4078203 58.5982227 [74,] 34.7003018 -23.4078203 [75,] -11.8028678 34.7003018 [76,] -16.2018378 -11.8028678 [77,] -41.5518652 -16.2018378 [78,] 39.7990454 -41.5518652 [79,] 16.6526623 39.7990454 [80,] 21.0963832 16.6526623 [81,] -52.0741612 21.0963832 [82,] 27.3642064 -52.0741612 [83,] -33.1626259 27.3642064 [84,] -37.4580169 -33.1626259 [85,] -8.0455986 -37.4580169 [86,] 21.8134709 -8.0455986 [87,] -19.5050088 21.8134709 [88,] -16.3644039 -19.5050088 [89,] 27.1994889 -16.3644039 [90,] -9.8941946 27.1994889 [91,] -0.9147110 -9.8941946 [92,] 8.7641070 -0.9147110 [93,] 22.0634240 8.7641070 [94,] -11.2550650 22.0634240 [95,] 11.1321029 -11.2550650 [96,] -17.5035262 11.1321029 [97,] -52.8134874 -17.5035262 [98,] 65.0293096 -52.8134874 [99,] -70.5613282 65.0293096 [100,] 22.6049052 -70.5613282 [101,] -8.4131305 22.6049052 [102,] -47.0094001 -8.4131305 [103,] 9.0669229 -47.0094001 [104,] -55.7017917 9.0669229 [105,] -26.7836688 -55.7017917 [106,] 10.7888940 -26.7836688 [107,] 0.9637038 10.7888940 [108,] -46.0549647 0.9637038 [109,] 7.9794143 -46.0549647 [110,] -0.9957098 7.9794143 [111,] -21.9045973 -0.9957098 [112,] -31.5904055 -21.9045973 [113,] 3.4957618 -31.5904055 [114,] -19.9459751 3.4957618 [115,] 39.6015504 -19.9459751 [116,] -49.8404003 39.6015504 [117,] -30.8268113 -49.8404003 [118,] -39.7227270 -30.8268113 [119,] -30.1646963 -39.7227270 [120,] 15.1322107 -30.1646963 [121,] 21.8669509 15.1322107 [122,] 18.7828573 21.8669509 [123,] -33.8628972 18.7828573 [124,] -17.5490055 -33.8628972 [125,] 18.5900853 -17.5490055 [126,] 40.5464579 18.5900853 [127,] 61.2763786 40.5464579 [128,] -0.4570653 61.2763786 [129,] 5.3915591 -0.4570653 [130,] -33.1747071 5.3915591 [131,] 54.7369736 -33.1747071 [132,] 30.7553118 54.7369736 [133,] 15.5419152 30.7553118 [134,] -9.3613587 15.5419152 [135,] 11.5257677 -9.3613587 [136,] -28.4019316 11.5257677 [137,] 22.7184609 -28.4019316 [138,] 28.7421003 22.7184609 [139,] 11.7617070 28.7421003 [140,] -80.3221359 11.7617070 [141,] -19.8714619 -80.3221359 [142,] -2.1369389 -19.8714619 [143,] -9.4525481 -2.1369389 [144,] -5.2481283 -9.4525481 [145,] 63.4906282 -5.2481283 [146,] -17.7997130 63.4906282 [147,] 4.6225609 -17.7997130 [148,] -25.6284878 4.6225609 [149,] -31.2677897 -25.6284878 [150,] -25.7070560 -31.2677897 [151,] -25.8485468 -25.7070560 [152,] -25.6282458 -25.8485468 [153,] -25.6282458 -25.6282458 [154,] -30.1817055 -25.6282458 [155,] -8.8312413 -30.1817055 [156,] -25.6282458 -8.8312413 [157,] -25.8977467 -25.6282458 [158,] -27.6885631 -25.8977467 [159,] -24.2305486 -27.6885631 [160,] -26.6994171 -24.2305486 [161,] 8.1798793 -26.6994171 [162,] -25.9729401 8.1798793 [163,] -53.3383601 -25.9729401 > z <- as.data.frame(dum1) > z lag(myerror, k = 1) myerror 1 27.9005338 -3.0228057 2 -2.6452203 27.9005338 3 24.6442732 -2.6452203 4 -5.1041143 24.6442732 5 15.6678168 -5.1041143 6 -80.7278364 15.6678168 7 -22.7327348 -80.7278364 8 -2.4769011 -22.7327348 9 -13.9115396 -2.4769011 10 16.2536900 -13.9115396 11 82.8918779 16.2536900 12 10.2917857 82.8918779 13 18.8257972 10.2917857 14 -22.3827156 18.8257972 15 48.6842319 -22.3827156 16 -11.2812656 48.6842319 17 -80.1661892 -11.2812656 18 -19.7927465 -80.1661892 19 58.6010741 -19.7927465 20 32.6124144 58.6010741 21 -30.4634133 32.6124144 22 -17.9975324 -30.4634133 23 109.6083496 -17.9975324 24 35.0979230 109.6083496 25 21.5821539 35.0979230 26 8.1033430 21.5821539 27 24.2393095 8.1033430 28 28.1528374 24.2393095 29 9.4101620 28.1528374 30 33.8682093 9.4101620 31 31.5314954 33.8682093 32 40.1290511 31.5314954 33 64.8073022 40.1290511 34 2.9324321 64.8073022 35 15.7478208 2.9324321 36 -1.3425153 15.7478208 37 -8.0260479 -1.3425153 38 -15.4526479 -8.0260479 39 1.4715268 -15.4526479 40 -7.5222749 1.4715268 41 3.8888067 -7.5222749 42 12.4305722 3.8888067 43 52.4127196 12.4305722 44 -27.4382370 52.4127196 45 -53.5854511 -27.4382370 46 12.9954662 -53.5854511 47 80.7397866 12.9954662 48 15.2478619 80.7397866 49 45.6925625 15.2478619 50 50.5499255 45.6925625 51 -26.0155168 50.5499255 52 -5.1605069 -26.0155168 53 7.1666930 -5.1605069 54 -19.9756038 7.1666930 55 2.7688996 -19.9756038 56 60.6761549 2.7688996 57 -24.7751138 60.6761549 58 4.8403489 -24.7751138 59 9.9633202 4.8403489 60 10.7988070 9.9633202 61 -81.9439871 10.7988070 62 -18.1240632 -81.9439871 63 10.6501800 -18.1240632 64 9.2048799 10.6501800 65 -16.4807535 9.2048799 66 3.7580497 -16.4807535 67 52.3090296 3.7580497 68 -9.5978532 52.3090296 69 -27.4847109 -9.5978532 70 46.4418197 -27.4847109 71 14.9491504 46.4418197 72 58.5982227 14.9491504 73 -23.4078203 58.5982227 74 34.7003018 -23.4078203 75 -11.8028678 34.7003018 76 -16.2018378 -11.8028678 77 -41.5518652 -16.2018378 78 39.7990454 -41.5518652 79 16.6526623 39.7990454 80 21.0963832 16.6526623 81 -52.0741612 21.0963832 82 27.3642064 -52.0741612 83 -33.1626259 27.3642064 84 -37.4580169 -33.1626259 85 -8.0455986 -37.4580169 86 21.8134709 -8.0455986 87 -19.5050088 21.8134709 88 -16.3644039 -19.5050088 89 27.1994889 -16.3644039 90 -9.8941946 27.1994889 91 -0.9147110 -9.8941946 92 8.7641070 -0.9147110 93 22.0634240 8.7641070 94 -11.2550650 22.0634240 95 11.1321029 -11.2550650 96 -17.5035262 11.1321029 97 -52.8134874 -17.5035262 98 65.0293096 -52.8134874 99 -70.5613282 65.0293096 100 22.6049052 -70.5613282 101 -8.4131305 22.6049052 102 -47.0094001 -8.4131305 103 9.0669229 -47.0094001 104 -55.7017917 9.0669229 105 -26.7836688 -55.7017917 106 10.7888940 -26.7836688 107 0.9637038 10.7888940 108 -46.0549647 0.9637038 109 7.9794143 -46.0549647 110 -0.9957098 7.9794143 111 -21.9045973 -0.9957098 112 -31.5904055 -21.9045973 113 3.4957618 -31.5904055 114 -19.9459751 3.4957618 115 39.6015504 -19.9459751 116 -49.8404003 39.6015504 117 -30.8268113 -49.8404003 118 -39.7227270 -30.8268113 119 -30.1646963 -39.7227270 120 15.1322107 -30.1646963 121 21.8669509 15.1322107 122 18.7828573 21.8669509 123 -33.8628972 18.7828573 124 -17.5490055 -33.8628972 125 18.5900853 -17.5490055 126 40.5464579 18.5900853 127 61.2763786 40.5464579 128 -0.4570653 61.2763786 129 5.3915591 -0.4570653 130 -33.1747071 5.3915591 131 54.7369736 -33.1747071 132 30.7553118 54.7369736 133 15.5419152 30.7553118 134 -9.3613587 15.5419152 135 11.5257677 -9.3613587 136 -28.4019316 11.5257677 137 22.7184609 -28.4019316 138 28.7421003 22.7184609 139 11.7617070 28.7421003 140 -80.3221359 11.7617070 141 -19.8714619 -80.3221359 142 -2.1369389 -19.8714619 143 -9.4525481 -2.1369389 144 -5.2481283 -9.4525481 145 63.4906282 -5.2481283 146 -17.7997130 63.4906282 147 4.6225609 -17.7997130 148 -25.6284878 4.6225609 149 -31.2677897 -25.6284878 150 -25.7070560 -31.2677897 151 -25.8485468 -25.7070560 152 -25.6282458 -25.8485468 153 -25.6282458 -25.6282458 154 -30.1817055 -25.6282458 155 -8.8312413 -30.1817055 156 -25.6282458 -8.8312413 157 -25.8977467 -25.6282458 158 -27.6885631 -25.8977467 159 -24.2305486 -27.6885631 160 -26.6994171 -24.2305486 161 8.1798793 -26.6994171 162 -25.9729401 8.1798793 163 -53.3383601 -25.9729401 > 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/7lsp31324651191.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > acf(mysum$resid, lag.max=length(mysum$resid)/2, main='Residual Autocorrelation Function') > grid() > dev.off() null device 1 > postscript(file="/var/wessaorg/rcomp/tmp/8tcv51324651191.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > pacf(mysum$resid, lag.max=length(mysum$resid)/2, main='Residual Partial Autocorrelation Function') > grid() > dev.off() null device 1 > postscript(file="/var/wessaorg/rcomp/tmp/9yprm1324651191.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > opar <- par(mfrow = c(2,2), oma = c(0, 0, 1.1, 0)) > plot(mylm, las = 1, sub='Residual Diagnostics') > par(opar) > dev.off() null device 1 > if (n > n25) { + postscript(file="/var/wessaorg/rcomp/tmp/10zliv1324651191.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) + plot(kp3:nmkm3,gqarr[,2], main='Goldfeld-Quandt test',ylab='2-sided p-value',xlab='breakpoint') + grid() + dev.off() + } null device 1 > > #Note: the /var/wessaorg/rcomp/createtable file can be downloaded at http://www.wessa.net/cretab > load(file="/var/wessaorg/rcomp/createtable") > > a<-table.start() > a<-table.row.start(a) > a<-table.element(a, 'Multiple Linear Regression - Estimated Regression Equation', 1, TRUE) > a<-table.row.end(a) > myeq <- colnames(x)[1] > myeq <- paste(myeq, '[t] = ', sep='') > for (i in 1:k){ + if (mysum$coefficients[i,1] > 0) myeq <- paste(myeq, '+', '') + myeq <- paste(myeq, mysum$coefficients[i,1], sep=' ') + if (rownames(mysum$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/117q7f1324651191.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$coefficients)[i],header=TRUE) + a<-table.element(a,mysum$coefficients[i,1]) + a<-table.element(a, round(mysum$coefficients[i,2],6)) + a<-table.element(a, round(mysum$coefficients[i,3],4)) + a<-table.element(a, round(mysum$coefficients[i,4],6)) + a<-table.element(a, round(mysum$coefficients[i,4]/2,6)) + a<-table.row.end(a) + } > a<-table.end(a) > table.save(a,file="/var/wessaorg/rcomp/tmp/12iysx1324651191.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, sqrt(mysum$r.squared)) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'R-squared',1,TRUE) > a<-table.element(a, mysum$r.squared) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'Adjusted R-squared',1,TRUE) > a<-table.element(a, mysum$adj.r.squared) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'F-TEST (value)',1,TRUE) > a<-table.element(a, mysum$fstatistic[1]) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'F-TEST (DF numerator)',1,TRUE) > a<-table.element(a, mysum$fstatistic[2]) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'F-TEST (DF denominator)',1,TRUE) > a<-table.element(a, mysum$fstatistic[3]) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'p-value',1,TRUE) > a<-table.element(a, 1-pf(mysum$fstatistic[1],mysum$fstatistic[2],mysum$fstatistic[3])) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'Multiple Linear Regression - Residual Statistics', 2, TRUE) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'Residual Standard Deviation',1,TRUE) > a<-table.element(a, mysum$sigma) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'Sum Squared Residuals',1,TRUE) > a<-table.element(a, sum(myerror*myerror)) > a<-table.row.end(a) > a<-table.end(a) > table.save(a,file="/var/wessaorg/rcomp/tmp/13hk0m1324651191.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,x[i]) + a<-table.element(a,x[i]-mysum$resid[i]) + a<-table.element(a,mysum$resid[i]) + a<-table.row.end(a) + } > a<-table.end(a) > table.save(a,file="/var/wessaorg/rcomp/tmp/14f0p01324651191.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,gqarr[mypoint-kp3+1,1]) + a<-table.element(a,gqarr[mypoint-kp3+1,2]) + a<-table.element(a,gqarr[mypoint-kp3+1,3]) + a<-table.row.end(a) + } + a<-table.end(a) + table.save(a,file="/var/wessaorg/rcomp/tmp/15sf3m1324651191.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,numsignificant1) + a<-table.element(a,numsignificant1/numgqtests) + 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,numsignificant5) + a<-table.element(a,numsignificant5/numgqtests) + 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,numsignificant10) + a<-table.element(a,numsignificant10/numgqtests) + 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/16rzrp1324651191.tab") + } > > try(system("convert tmp/1bmum1324651191.ps tmp/1bmum1324651191.png",intern=TRUE)) character(0) > try(system("convert tmp/2o9uv1324651191.ps tmp/2o9uv1324651191.png",intern=TRUE)) character(0) > try(system("convert tmp/3wl7b1324651191.ps tmp/3wl7b1324651191.png",intern=TRUE)) character(0) > try(system("convert tmp/47sqd1324651191.ps tmp/47sqd1324651191.png",intern=TRUE)) character(0) > try(system("convert tmp/5fjr21324651191.ps tmp/5fjr21324651191.png",intern=TRUE)) character(0) > try(system("convert tmp/65v021324651191.ps tmp/65v021324651191.png",intern=TRUE)) character(0) > try(system("convert tmp/7lsp31324651191.ps tmp/7lsp31324651191.png",intern=TRUE)) character(0) > try(system("convert tmp/8tcv51324651191.ps tmp/8tcv51324651191.png",intern=TRUE)) character(0) > try(system("convert tmp/9yprm1324651191.ps tmp/9yprm1324651191.png",intern=TRUE)) character(0) > try(system("convert tmp/10zliv1324651191.ps tmp/10zliv1324651191.png",intern=TRUE)) character(0) > > > proc.time() user system elapsed 4.826 0.655 5.494