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(279055 + ,1818 + ,73 + ,96 + ,42 + ,130 + ,186099 + ,212408 + ,1433 + ,75 + ,75 + ,38 + ,143 + ,113854 + ,233939 + ,2059 + ,83 + ,70 + ,46 + ,118 + ,99776 + ,222117 + ,2733 + ,106 + ,134 + ,42 + ,146 + ,106194 + ,189911 + ,1399 + ,56 + ,83 + ,30 + ,73 + ,100792 + ,70849 + ,631 + ,28 + ,8 + ,35 + ,89 + ,47552 + ,605767 + ,5460 + ,135 + ,173 + ,40 + ,146 + ,250931 + ,33186 + ,381 + ,19 + ,1 + ,18 + ,22 + ,6853 + ,227332 + ,2150 + ,62 + ,88 + ,38 + ,132 + ,115466 + ,267925 + ,2042 + ,49 + ,104 + ,37 + ,92 + ,110896 + ,371987 + ,2536 + ,122 + ,114 + ,46 + ,147 + ,169351 + ,264989 + ,2377 + ,131 + ,125 + ,60 + ,203 + ,94853 + ,212638 + ,2100 + ,87 + ,57 + ,37 + ,113 + ,72591 + ,368577 + ,3020 + ,85 + ,139 + ,55 + ,171 + ,101345 + ,269455 + ,2265 + ,88 + ,87 + ,44 + ,87 + ,113713 + ,398124 + ,5139 + ,191 + ,176 + ,63 + ,208 + ,165354 + ,335567 + ,2363 + ,77 + ,114 + ,40 + ,153 + ,164263 + ,428322 + ,3548 + ,172 + ,121 + ,43 + ,97 + ,135213 + ,182016 + 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,455 + ,8 + ,2 + ,0 + ,0 + ,0 + ,0 + ,0 + ,0 + ,0 + ,0 + ,0 + ,0 + ,0 + ,0 + ,0 + ,0 + ,0 + ,0 + ,0 + ,0 + ,291847 + ,2449 + ,95 + ,85 + ,46 + ,94 + ,105406 + ,415421 + ,3490 + ,168 + ,164 + ,52 + ,129 + ,174586 + ,0 + ,0 + ,0 + ,0 + ,0 + ,0 + ,0 + ,203 + ,4 + ,4 + ,0 + ,0 + ,0 + ,0 + ,7199 + ,151 + ,5 + ,7 + ,0 + ,0 + ,4245 + ,46660 + ,475 + ,21 + ,12 + ,5 + ,13 + ,21509 + ,17547 + ,141 + ,5 + ,0 + ,1 + ,4 + ,7670 + ,121550 + ,1145 + ,46 + ,37 + ,48 + ,89 + ,15673 + ,969 + ,29 + ,2 + ,0 + ,0 + ,0 + ,0 + ,242774 + ,2080 + ,75 + ,62 + ,34 + ,71 + ,75882) + ,dim=c(7 + ,164) + ,dimnames=list(c('Time_RFC' + ,'Pageviews' + ,'Logins' + ,'Bloggend_computations' + ,'Reviewed_compendiums' + ,'Long_fbmessages_PR' + ,'Time_compendium') + ,1:164)) > y <- array(NA,dim=c(7,164),dimnames=list(c('Time_RFC','Pageviews','Logins','Bloggend_computations','Reviewed_compendiums','Long_fbmessages_PR','Time_compendium'),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 = '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 Time_RFC Pageviews Logins Bloggend_computations Reviewed_compendiums 1 279055 1818 73 96 42 2 212408 1433 75 75 38 3 233939 2059 83 70 46 4 222117 2733 106 134 42 5 189911 1399 56 83 30 6 70849 631 28 8 35 7 605767 5460 135 173 40 8 33186 381 19 1 18 9 227332 2150 62 88 38 10 267925 2042 49 104 37 11 371987 2536 122 114 46 12 264989 2377 131 125 60 13 212638 2100 87 57 37 14 368577 3020 85 139 55 15 269455 2265 88 87 44 16 398124 5139 191 176 63 17 335567 2363 77 114 40 18 428322 3548 172 121 43 19 182016 1477 58 103 32 20 267365 2398 89 135 52 21 279428 2546 73 123 49 22 508849 3150 111 99 41 23 217270 1694 48 77 25 24 200004 1787 58 103 57 25 257139 3792 133 158 45 26 270941 3108 138 116 42 27 324969 3230 134 114 45 28 329962 2348 92 150 43 29 190867 1780 60 64 36 30 393860 3218 79 150 45 31 327660 2692 89 143 50 32 269239 2187 83 50 50 33 396136 2577 106 145 51 34 130446 1293 49 56 42 35 430118 3567 104 141 44 36 273950 2764 56 83 42 37 428077 3755 128 112 44 38 254312 2075 93 79 40 39 120351 995 35 33 17 40 395658 3750 212 152 43 41 345875 3413 86 126 41 42 216827 2053 82 97 41 43 224524 1984 83 84 40 44 182485 1825 69 68 49 45 157164 2599 85 50 52 46 459455 5572 157 101 42 47 78800 918 42 20 26 48 255072 2685 85 107 59 49 368086 4145 123 150 50 50 230299 2841 70 129 50 51 244782 2175 81 99 47 52 24188 496 24 8 4 53 400109 2699 334 88 51 54 65029 744 17 21 18 55 101097 1161 64 30 14 56 309810 3333 67 102 41 57 375638 2970 91 166 61 58 367127 3968 204 132 40 59 381998 2878 155 161 44 60 280106 2399 90 90 40 61 400971 4121 153 160 51 62 315924 3294 122 139 29 63 291391 3132 124 104 43 64 295075 2868 93 103 42 65 280018 1778 81 66 41 66 267432 2109 71 163 30 67 217181 2148 141 93 39 68 258166 3009 159 85 51 69 264771 2562 88 154 40 70 182961 1737 73 143 29 71 256967 2680 74 107 47 72 73566 893 32 22 23 73 272362 2389 93 85 48 74 229056 2197 62 101 38 75 229851 2227 70 131 42 76 371391 2370 91 140 46 77 398210 3226 104 156 40 78 220419 1978 111 81 45 79 231884 2516 72 137 42 80 219381 2147 73 102 41 81 206169 2150 54 74 37 82 483074 4228 131 161 47 83 146100 1380 72 30 26 84 295224 2449 109 120 48 85 80953 870 25 49 8 86 217384 2700 63 121 27 87 179344 1574 62 76 38 88 415550 4046 222 85 41 89 389059 3259 129 151 61 90 180679 3098 106 165 45 91 299505 2615 104 89 41 92 292260 2404 84 168 42 93 199481 1932 68 48 35 94 282361 3147 78 149 36 95 329281 2598 89 75 40 96 234577 2108 48 107 40 97 297995 2193 67 116 38 98 342490 2478 90 181 43 99 416463 4198 163 155 65 100 415683 4069 119 165 33 101 297080 2842 142 121 51 102 331792 2562 71 176 45 103 229772 2449 202 86 36 104 43287 602 14 13 19 105 238089 2579 87 120 25 106 263322 2591 160 117 44 107 302082 2957 61 133 45 108 321797 2786 95 169 44 109 193926 1477 96 39 35 110 175138 3350 105 125 46 111 354041 2107 78 82 44 112 303273 2332 91 148 45 113 23668 400 13 12 1 114 196743 2233 79 146 40 115 61857 530 25 23 11 116 217543 2033 54 87 51 117 440711 3246 128 164 38 118 21054 387 16 4 0 119 252805 2137 52 81 30 120 31961 492 22 18 8 121 360436 3838 125 118 43 122 251948 2193 77 76 48 123 187320 1796 97 55 49 124 180842 1907 58 62 32 125 38214 568 34 16 8 126 280392 2602 56 98 43 127 358276 2819 84 137 52 128 211775 1464 67 50 53 129 447335 3946 90 152 49 130 348017 2554 99 163 48 131 441946 3506 133 142 56 132 215177 1552 43 80 45 133 130177 1389 47 59 40 134 318037 3101 365 94 48 135 466139 4541 198 128 50 136 162279 1872 62 63 43 137 416643 4403 140 127 46 138 178322 2113 86 60 40 139 292443 2046 54 118 45 140 283913 2564 100 110 46 141 244931 2073 127 46 37 142 387072 4112 125 96 45 143 246963 2340 93 128 39 144 173260 2035 63 41 21 145 346748 3241 108 146 50 146 178402 1991 60 147 55 147 268750 2828 96 121 40 148 314070 2748 112 185 48 149 1 2 0 0 0 150 14688 207 10 4 0 151 98 5 1 0 0 152 455 8 2 0 0 153 0 0 0 0 0 154 0 0 0 0 0 155 291847 2449 95 85 46 156 415421 3490 168 164 52 157 0 0 0 0 0 158 203 4 4 0 0 159 7199 151 5 7 0 160 46660 475 21 12 5 161 17547 141 5 0 1 162 121550 1145 46 37 48 163 969 29 2 0 0 164 242774 2080 75 62 34 Long_fbmessages_PR Time_compendium t 1 130 186099 1 2 143 113854 2 3 118 99776 3 4 146 106194 4 5 73 100792 5 6 89 47552 6 7 146 250931 7 8 22 6853 8 9 132 115466 9 10 92 110896 10 11 147 169351 11 12 203 94853 12 13 113 72591 13 14 171 101345 14 15 87 113713 15 16 208 165354 16 17 153 164263 17 18 97 135213 18 19 95 111669 19 20 197 134163 20 21 160 140303 21 22 148 150773 22 23 84 111848 23 24 227 102509 24 25 154 96785 25 26 151 116136 26 27 142 158376 27 28 148 153990 28 29 110 64057 29 30 149 230054 30 31 179 184531 31 32 149 114198 32 33 187 198299 33 34 153 33750 34 35 163 189723 35 36 127 100826 36 37 151 188355 37 38 100 104470 38 39 46 58391 39 40 156 164808 40 41 128 134097 41 42 111 80238 42 43 119 133252 43 44 148 54518 44 45 65 121850 45 46 134 79367 46 47 66 56968 47 48 201 106314 48 49 177 191889 49 50 156 104864 50 51 158 160792 51 52 7 15049 52 53 175 191179 53 54 61 25109 54 55 41 45824 55 56 133 129711 56 57 228 210012 57 58 140 194679 58 59 155 197680 59 60 141 81180 60 61 181 197765 61 62 75 214738 62 63 97 96252 63 64 142 124527 64 65 136 153242 65 66 87 145707 66 67 140 113963 67 68 169 134904 68 69 129 114268 69 70 92 94333 70 71 160 102204 71 72 67 23824 72 73 179 111563 73 74 90 91313 74 75 144 89770 75 76 144 100125 76 77 144 165278 77 78 134 181712 78 79 146 80906 79 80 121 75881 80 81 112 83963 81 82 145 175721 82 83 99 68580 83 84 96 136323 84 85 27 55792 85 86 77 25157 86 87 137 100922 87 88 151 118845 88 89 126 170492 89 90 159 81716 90 91 101 115750 91 92 144 105590 92 93 102 92795 93 94 135 82390 94 95 147 135599 95 96 155 127667 96 97 138 163073 97 98 113 211381 98 99 248 189944 99 100 116 226168 100 101 176 117495 101 102 140 195894 102 103 59 80684 103 104 64 19630 104 105 40 88634 105 106 98 139292 106 107 139 128602 107 108 135 135848 108 109 97 178377 109 110 142 106330 110 111 155 178303 111 112 115 116938 112 113 0 5841 113 114 103 106020 114 115 30 24610 115 116 130 74151 116 117 102 232241 117 118 0 6622 118 119 77 127097 119 120 9 13155 120 121 150 160501 121 122 163 91502 122 123 148 24469 123 124 94 88229 124 125 21 13983 125 126 151 80716 126 127 187 157384 127 128 171 122975 128 129 170 191469 129 130 145 231257 130 131 198 258287 131 132 152 122531 132 133 112 61394 133 134 173 86480 134 135 177 195791 135 136 153 18284 136 137 161 147581 137 138 115 72558 138 139 147 147341 139 140 124 114651 140 141 57 100187 141 142 144 130332 142 143 126 134218 143 144 78 10901 144 145 153 145758 145 146 196 75767 146 147 130 134969 147 148 159 169216 148 149 0 0 149 150 0 7953 150 151 0 0 151 152 0 0 152 153 0 0 153 154 0 0 154 155 94 105406 155 156 129 174586 156 157 0 0 157 158 0 0 158 159 0 4245 159 160 13 21509 160 161 4 7670 161 162 89 15673 162 163 0 0 163 164 71 75882 164 > k <- length(x[1,]) > df <- as.data.frame(x) > (mylm <- lm(df)) Call: lm(formula = df) Coefficients: (Intercept) Pageviews Logins -1811.181 59.075 92.396 Bloggend_computations Reviewed_compendiums Long_fbmessages_PR 23.541 208.021 75.873 Time_compendium t 0.800 -5.924 > (mysum <- summary(mylm)) Call: lm(formula = df) Residuals: Min 1Q Median 3Q Max -138351 -16197 1595 19993 171743 Coefficients: Estimate Std. Error t value Pr(>|t|) (Intercept) -1811.1806 11188.1937 -0.162 0.872 Pageviews 59.0752 5.6258 10.501 <2e-16 *** Logins 92.3962 83.9086 1.101 0.273 Bloggend_computations 23.5412 117.8615 0.200 0.842 Reviewed_compendiums 208.0207 515.3942 0.404 0.687 Long_fbmessages_PR 75.8730 139.3704 0.544 0.587 Time_compendium 0.8000 0.0837 9.558 <2e-16 *** t -5.9238 66.5608 -0.089 0.929 --- Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 Residual standard error: 37860 on 156 degrees of freedom Multiple R-squared: 0.9135, Adjusted R-squared: 0.9096 F-statistic: 235.2 on 7 and 156 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,] 0.4556631 9.113261e-01 5.443369e-01 [2,] 0.2964595 5.929190e-01 7.035405e-01 [3,] 0.1977926 3.955852e-01 8.022074e-01 [4,] 0.2985541 5.971083e-01 7.014459e-01 [5,] 0.3263167 6.526334e-01 6.736833e-01 [6,] 0.7206060 5.587880e-01 2.793940e-01 [7,] 0.6883072 6.233855e-01 3.116928e-01 [8,] 0.8074014 3.851971e-01 1.925986e-01 [9,] 0.8778059 2.443882e-01 1.221941e-01 [10,] 0.8453299 3.093402e-01 1.546701e-01 [11,] 0.8237709 3.524583e-01 1.762291e-01 [12,] 0.9970764 5.847254e-03 2.923627e-03 [13,] 0.9969465 6.106918e-03 3.053459e-03 [14,] 0.9956508 8.698362e-03 4.349181e-03 [15,] 0.9980497 3.900635e-03 1.950318e-03 [16,] 0.9983452 3.309639e-03 1.654819e-03 [17,] 0.9989990 2.001925e-03 1.000963e-03 [18,] 0.9987834 2.433246e-03 1.216623e-03 [19,] 0.9980639 3.872191e-03 1.936096e-03 [20,] 0.9986742 2.651515e-03 1.325758e-03 [21,] 0.9981341 3.731741e-03 1.865871e-03 [22,] 0.9973318 5.336400e-03 2.668200e-03 [23,] 0.9973636 5.272840e-03 2.636420e-03 [24,] 0.9961517 7.696647e-03 3.848323e-03 [25,] 0.9952792 9.441661e-03 4.720830e-03 [26,] 0.9932288 1.354243e-02 6.771215e-03 [27,] 0.9916942 1.661165e-02 8.305826e-03 [28,] 0.9893129 2.137428e-02 1.068714e-02 [29,] 0.9859896 2.802081e-02 1.401041e-02 [30,] 0.9806945 3.861098e-02 1.930549e-02 [31,] 0.9746224 5.075517e-02 2.537758e-02 [32,] 0.9664845 6.703108e-02 3.351554e-02 [33,] 0.9676440 6.471196e-02 3.235598e-02 [34,] 0.9578671 8.426583e-02 4.213292e-02 [35,] 0.9961274 7.745289e-03 3.872644e-03 [36,] 0.9959643 8.071378e-03 4.035689e-03 [37,] 0.9955287 8.942511e-03 4.471256e-03 [38,] 0.9937869 1.242622e-02 6.213110e-03 [39,] 0.9965681 6.863705e-03 3.431853e-03 [40,] 0.9962713 7.457413e-03 3.728706e-03 [41,] 0.9958338 8.332449e-03 4.166225e-03 [42,] 0.9945497 1.090069e-02 5.450343e-03 [43,] 0.9941825 1.163495e-02 5.817477e-03 [44,] 0.9918111 1.637770e-02 8.188851e-03 [45,] 0.9888819 2.223625e-02 1.111812e-02 [46,] 0.9849712 3.005754e-02 1.502877e-02 [47,] 0.9802063 3.958749e-02 1.979375e-02 [48,] 0.9862850 2.743005e-02 1.371502e-02 [49,] 0.9852019 2.959625e-02 1.479813e-02 [50,] 0.9906623 1.867548e-02 9.337739e-03 [51,] 0.9893038 2.139232e-02 1.069616e-02 [52,] 0.9935582 1.288358e-02 6.441788e-03 [53,] 0.9927430 1.451409e-02 7.257044e-03 [54,] 0.9903088 1.938234e-02 9.691172e-03 [55,] 0.9901929 1.961430e-02 9.807148e-03 [56,] 0.9887531 2.249383e-02 1.124692e-02 [57,] 0.9861122 2.777559e-02 1.388780e-02 [58,] 0.9902890 1.942192e-02 9.710958e-03 [59,] 0.9875290 2.494195e-02 1.247098e-02 [60,] 0.9834992 3.300170e-02 1.650085e-02 [61,] 0.9788791 4.224188e-02 2.112094e-02 [62,] 0.9726403 5.471933e-02 2.735967e-02 [63,] 0.9670516 6.589687e-02 3.294844e-02 [64,] 0.9622145 7.557097e-02 3.778548e-02 [65,] 0.9532224 9.355516e-02 4.677758e-02 [66,] 0.9986122 2.775522e-03 1.387761e-03 [67,] 0.9990887 1.822560e-03 9.112800e-04 [68,] 0.9995620 8.760818e-04 4.380409e-04 [69,] 0.9993371 1.325753e-03 6.628765e-04 [70,] 0.9990736 1.852826e-03 9.264132e-04 [71,] 0.9986534 2.693258e-03 1.346629e-03 [72,] 0.9994154 1.169239e-03 5.846195e-04 [73,] 0.9991204 1.759281e-03 8.796407e-04 [74,] 0.9988544 2.291239e-03 1.145620e-03 [75,] 0.9983897 3.220642e-03 1.610321e-03 [76,] 0.9981466 3.706757e-03 1.853379e-03 [77,] 0.9973786 5.242856e-03 2.621428e-03 [78,] 0.9981603 3.679349e-03 1.839675e-03 [79,] 0.9978838 4.232316e-03 2.116158e-03 [80,] 0.9997703 4.593974e-04 2.296987e-04 [81,] 0.9997529 4.941948e-04 2.470974e-04 [82,] 0.9998172 3.655919e-04 1.827960e-04 [83,] 0.9997124 5.751540e-04 2.875770e-04 [84,] 0.9996032 7.935606e-04 3.967803e-04 [85,] 0.9997497 5.006754e-04 2.503377e-04 [86,] 0.9996115 7.769017e-04 3.884508e-04 [87,] 0.9995200 9.599636e-04 4.799818e-04 [88,] 0.9992847 1.430520e-03 7.152598e-04 [89,] 0.9990520 1.895921e-03 9.479607e-04 [90,] 0.9987671 2.465721e-03 1.232860e-03 [91,] 0.9981853 3.629498e-03 1.814749e-03 [92,] 0.9973439 5.312114e-03 2.656057e-03 [93,] 0.9961060 7.787953e-03 3.893977e-03 [94,] 0.9944094 1.118112e-02 5.590561e-03 [95,] 0.9921979 1.560429e-02 7.802144e-03 [96,] 0.9909490 1.810205e-02 9.051025e-03 [97,] 0.9874110 2.517806e-02 1.258903e-02 [98,] 0.9863497 2.730052e-02 1.365026e-02 [99,] 0.9944659 1.106812e-02 5.534060e-03 [100,] 0.9999986 2.806713e-06 1.403356e-06 [101,] 0.9999998 3.173018e-07 1.586509e-07 [102,] 1.0000000 9.039639e-08 4.519819e-08 [103,] 0.9999999 1.989073e-07 9.945367e-08 [104,] 1.0000000 6.968692e-08 3.484346e-08 [105,] 0.9999999 1.494985e-07 7.474926e-08 [106,] 0.9999998 3.103077e-07 1.551539e-07 [107,] 0.9999999 1.282619e-07 6.413096e-08 [108,] 0.9999999 2.949987e-07 1.474993e-07 [109,] 0.9999997 5.826891e-07 2.913446e-07 [110,] 0.9999994 1.266064e-06 6.330318e-07 [111,] 0.9999995 1.030660e-06 5.153301e-07 [112,] 0.9999992 1.675725e-06 8.378627e-07 [113,] 0.9999991 1.894541e-06 9.472704e-07 [114,] 0.9999989 2.206534e-06 1.103267e-06 [115,] 0.9999981 3.823269e-06 1.911634e-06 [116,] 0.9999987 2.636264e-06 1.318132e-06 [117,] 0.9999997 5.370618e-07 2.685309e-07 [118,] 0.9999993 1.303365e-06 6.516824e-07 [119,] 0.9999997 5.204102e-07 2.602051e-07 [120,] 0.9999993 1.330471e-06 6.652353e-07 [121,] 0.9999983 3.382596e-06 1.691298e-06 [122,] 0.9999975 5.025141e-06 2.512571e-06 [123,] 0.9999958 8.326288e-06 4.163144e-06 [124,] 0.9999936 1.284856e-05 6.424280e-06 [125,] 0.9999890 2.195781e-05 1.097891e-05 [126,] 0.9999964 7.140588e-06 3.570294e-06 [127,] 0.9999903 1.948238e-05 9.741192e-06 [128,] 0.9999872 2.552497e-05 1.276248e-05 [129,] 1.0000000 8.175579e-10 4.087789e-10 [130,] 1.0000000 2.657620e-09 1.328810e-09 [131,] 1.0000000 1.016050e-08 5.080249e-09 [132,] 1.0000000 4.048882e-08 2.024441e-08 [133,] 0.9999999 1.837079e-07 9.185393e-08 [134,] 0.9999996 8.882408e-07 4.441204e-07 [135,] 0.9999984 3.151519e-06 1.575760e-06 [136,] 0.9999999 2.164103e-07 1.082052e-07 [137,] 0.9999999 1.973062e-07 9.865312e-08 [138,] 0.9999998 3.069081e-07 1.534540e-07 [139,] 0.9999985 3.038472e-06 1.519236e-06 [140,] 0.9999897 2.063749e-05 1.031875e-05 [141,] 0.9999059 1.881672e-04 9.408360e-05 [142,] 0.9992342 1.531677e-03 7.658383e-04 [143,] 0.9942341 1.153190e-02 5.765948e-03 > postscript(file="/var/wessaorg/rcomp/tmp/1cii41324660989.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$resid) > grid() > dev.off() null device 1 > postscript(file="/var/wessaorg/rcomp/tmp/2mk5i1324660989.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > plot(mysum$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/3p1b51324660989.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > hist(mysum$resid, main='Residual Histogram', xlab='values of Residuals') > grid() > dev.off() null device 1 > postscript(file="/var/wessaorg/rcomp/tmp/4msba1324660989.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > densityplot(~mysum$resid,col='black',main='Residual Density Plot', xlab='values of Residuals') > dev.off() null device 1 > postscript(file="/var/wessaorg/rcomp/tmp/5v5kk1324660989.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 -3008.13124 11044.90681 6474.09321 -55217.10692 9566.09709 6 7 8 9 10 -19430.43330 48383.63743 -138.03441 -15906.43708 38795.97024 11 12 13 14 15 53892.13143 7638.52489 6745.81049 75448.17681 20648.22449 16 17 18 19 20 -86516.08050 36748.72414 77427.41006 -14296.12664 -16861.40132 21 22 23 24 25 -13255.32045 171742.89762 11845.82303 -22479.73160 -79395.07815 26 27 28 29 30 -39281.74110 -25770.85543 37835.12638 13566.28155 -9791.23157 31 32 33 34 35 -12569.52576 20133.56417 49264.97581 2883.68440 35191.04181 36 37 38 39 40 6530.43256 22525.78340 23832.10414 5864.24394 382.88183 41 42 43 44 45 9876.94197 6605.65719 -24210.89614 3732.62701 -116552.40973 46 47 48 49 50 33091.36054 -33682.57718 -24395.27749 -66914.02735 -51057.68640 51 52 53 54 55 -41803.95083 -18802.09237 33031.15733 -7316.43708 -14653.50668 56 57 58 59 60 -15923.30006 -7977.05809 -61768.18921 16974.54415 46155.11592 61 62 63 64 65 -40759.65016 -74545.98540 1341.67474 -2310.52080 26701.92450 66 67 68 69 70 5242.28694 -32625.33562 -65422.02966 -5637.07150 -16015.96502 71 72 73 74 75 -12157.32148 -9351.86583 10066.14695 5628.71519 -482.87195 76 77 78 79 80 121347.18506 45152.66000 -71215.99659 -8885.65197 7272.34892 81 82 83 84 85 -8646.80240 58354.22747 -8262.60212 13636.36864 -19936.62053 86 87 88 89 90 19948.04084 -17866.93921 41291.31709 24757.22766 -100466.30579 91 92 93 94 95 26878.95091 36750.19803 -8957.47351 4462.40252 40237.42873 96 97 98 99 100 -16740.36296 13076.41908 -703.29428 -32136.69892 -33766.77120 101 102 103 104 105 -2327.91660 -4541.94788 -9681.66859 -15960.56977 -1837.50385 106 107 108 109 110 -32860.38829 -1712.42982 18836.23800 -57998.53167 -138350.73110 111 112 113 114 115 59348.14824 44457.18053 -3845.89720 -44371.88260 5936.16723 116 117 118 119 120 13111.73895 34336.65579 -6167.92533 8607.47909 -9909.24973 121 122 123 124 125 -26818.27420 20473.81734 32506.45113 -20457.79651 -10750.88330 126 127 128 129 130 36781.35383 32409.97107 -1886.73008 28641.96946 -19252.79251 131 132 133 134 135 -11513.60745 1312.55972 -20943.83286 9218.53054 -1278.71898 136 137 138 139 140 11914.93762 3385.30512 -28325.32465 28057.69432 12559.27624 141 142 143 144 145 20127.73060 8447.32493 -25265.95088 29912.78209 5925.80118 146 147 148 149 150 -32469.70775 -33508.67768 -17703.23968 2576.68116 -2221.21940 151 152 153 154 155 2415.90692 2509.20885 2717.52699 2723.45083 38098.33852 156 157 158 159 160 32329.68925 2741.22232 2344.26052 -2990.99351 -97.86896 161 162 163 164 4872.93772 22282.59794 1847.79077 41126.84193 > postscript(file="/var/wessaorg/rcomp/tmp/6f07i1324660989.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 -3008.13124 NA 1 11044.90681 -3008.13124 2 6474.09321 11044.90681 3 -55217.10692 6474.09321 4 9566.09709 -55217.10692 5 -19430.43330 9566.09709 6 48383.63743 -19430.43330 7 -138.03441 48383.63743 8 -15906.43708 -138.03441 9 38795.97024 -15906.43708 10 53892.13143 38795.97024 11 7638.52489 53892.13143 12 6745.81049 7638.52489 13 75448.17681 6745.81049 14 20648.22449 75448.17681 15 -86516.08050 20648.22449 16 36748.72414 -86516.08050 17 77427.41006 36748.72414 18 -14296.12664 77427.41006 19 -16861.40132 -14296.12664 20 -13255.32045 -16861.40132 21 171742.89762 -13255.32045 22 11845.82303 171742.89762 23 -22479.73160 11845.82303 24 -79395.07815 -22479.73160 25 -39281.74110 -79395.07815 26 -25770.85543 -39281.74110 27 37835.12638 -25770.85543 28 13566.28155 37835.12638 29 -9791.23157 13566.28155 30 -12569.52576 -9791.23157 31 20133.56417 -12569.52576 32 49264.97581 20133.56417 33 2883.68440 49264.97581 34 35191.04181 2883.68440 35 6530.43256 35191.04181 36 22525.78340 6530.43256 37 23832.10414 22525.78340 38 5864.24394 23832.10414 39 382.88183 5864.24394 40 9876.94197 382.88183 41 6605.65719 9876.94197 42 -24210.89614 6605.65719 43 3732.62701 -24210.89614 44 -116552.40973 3732.62701 45 33091.36054 -116552.40973 46 -33682.57718 33091.36054 47 -24395.27749 -33682.57718 48 -66914.02735 -24395.27749 49 -51057.68640 -66914.02735 50 -41803.95083 -51057.68640 51 -18802.09237 -41803.95083 52 33031.15733 -18802.09237 53 -7316.43708 33031.15733 54 -14653.50668 -7316.43708 55 -15923.30006 -14653.50668 56 -7977.05809 -15923.30006 57 -61768.18921 -7977.05809 58 16974.54415 -61768.18921 59 46155.11592 16974.54415 60 -40759.65016 46155.11592 61 -74545.98540 -40759.65016 62 1341.67474 -74545.98540 63 -2310.52080 1341.67474 64 26701.92450 -2310.52080 65 5242.28694 26701.92450 66 -32625.33562 5242.28694 67 -65422.02966 -32625.33562 68 -5637.07150 -65422.02966 69 -16015.96502 -5637.07150 70 -12157.32148 -16015.96502 71 -9351.86583 -12157.32148 72 10066.14695 -9351.86583 73 5628.71519 10066.14695 74 -482.87195 5628.71519 75 121347.18506 -482.87195 76 45152.66000 121347.18506 77 -71215.99659 45152.66000 78 -8885.65197 -71215.99659 79 7272.34892 -8885.65197 80 -8646.80240 7272.34892 81 58354.22747 -8646.80240 82 -8262.60212 58354.22747 83 13636.36864 -8262.60212 84 -19936.62053 13636.36864 85 19948.04084 -19936.62053 86 -17866.93921 19948.04084 87 41291.31709 -17866.93921 88 24757.22766 41291.31709 89 -100466.30579 24757.22766 90 26878.95091 -100466.30579 91 36750.19803 26878.95091 92 -8957.47351 36750.19803 93 4462.40252 -8957.47351 94 40237.42873 4462.40252 95 -16740.36296 40237.42873 96 13076.41908 -16740.36296 97 -703.29428 13076.41908 98 -32136.69892 -703.29428 99 -33766.77120 -32136.69892 100 -2327.91660 -33766.77120 101 -4541.94788 -2327.91660 102 -9681.66859 -4541.94788 103 -15960.56977 -9681.66859 104 -1837.50385 -15960.56977 105 -32860.38829 -1837.50385 106 -1712.42982 -32860.38829 107 18836.23800 -1712.42982 108 -57998.53167 18836.23800 109 -138350.73110 -57998.53167 110 59348.14824 -138350.73110 111 44457.18053 59348.14824 112 -3845.89720 44457.18053 113 -44371.88260 -3845.89720 114 5936.16723 -44371.88260 115 13111.73895 5936.16723 116 34336.65579 13111.73895 117 -6167.92533 34336.65579 118 8607.47909 -6167.92533 119 -9909.24973 8607.47909 120 -26818.27420 -9909.24973 121 20473.81734 -26818.27420 122 32506.45113 20473.81734 123 -20457.79651 32506.45113 124 -10750.88330 -20457.79651 125 36781.35383 -10750.88330 126 32409.97107 36781.35383 127 -1886.73008 32409.97107 128 28641.96946 -1886.73008 129 -19252.79251 28641.96946 130 -11513.60745 -19252.79251 131 1312.55972 -11513.60745 132 -20943.83286 1312.55972 133 9218.53054 -20943.83286 134 -1278.71898 9218.53054 135 11914.93762 -1278.71898 136 3385.30512 11914.93762 137 -28325.32465 3385.30512 138 28057.69432 -28325.32465 139 12559.27624 28057.69432 140 20127.73060 12559.27624 141 8447.32493 20127.73060 142 -25265.95088 8447.32493 143 29912.78209 -25265.95088 144 5925.80118 29912.78209 145 -32469.70775 5925.80118 146 -33508.67768 -32469.70775 147 -17703.23968 -33508.67768 148 2576.68116 -17703.23968 149 -2221.21940 2576.68116 150 2415.90692 -2221.21940 151 2509.20885 2415.90692 152 2717.52699 2509.20885 153 2723.45083 2717.52699 154 38098.33852 2723.45083 155 32329.68925 38098.33852 156 2741.22232 32329.68925 157 2344.26052 2741.22232 158 -2990.99351 2344.26052 159 -97.86896 -2990.99351 160 4872.93772 -97.86896 161 22282.59794 4872.93772 162 1847.79077 22282.59794 163 41126.84193 1847.79077 164 NA 41126.84193 > dum1 <- dum[2:length(myerror),] > dum1 lag(myerror, k = 1) myerror [1,] 11044.90681 -3008.13124 [2,] 6474.09321 11044.90681 [3,] -55217.10692 6474.09321 [4,] 9566.09709 -55217.10692 [5,] -19430.43330 9566.09709 [6,] 48383.63743 -19430.43330 [7,] -138.03441 48383.63743 [8,] -15906.43708 -138.03441 [9,] 38795.97024 -15906.43708 [10,] 53892.13143 38795.97024 [11,] 7638.52489 53892.13143 [12,] 6745.81049 7638.52489 [13,] 75448.17681 6745.81049 [14,] 20648.22449 75448.17681 [15,] -86516.08050 20648.22449 [16,] 36748.72414 -86516.08050 [17,] 77427.41006 36748.72414 [18,] -14296.12664 77427.41006 [19,] -16861.40132 -14296.12664 [20,] -13255.32045 -16861.40132 [21,] 171742.89762 -13255.32045 [22,] 11845.82303 171742.89762 [23,] -22479.73160 11845.82303 [24,] -79395.07815 -22479.73160 [25,] -39281.74110 -79395.07815 [26,] -25770.85543 -39281.74110 [27,] 37835.12638 -25770.85543 [28,] 13566.28155 37835.12638 [29,] -9791.23157 13566.28155 [30,] -12569.52576 -9791.23157 [31,] 20133.56417 -12569.52576 [32,] 49264.97581 20133.56417 [33,] 2883.68440 49264.97581 [34,] 35191.04181 2883.68440 [35,] 6530.43256 35191.04181 [36,] 22525.78340 6530.43256 [37,] 23832.10414 22525.78340 [38,] 5864.24394 23832.10414 [39,] 382.88183 5864.24394 [40,] 9876.94197 382.88183 [41,] 6605.65719 9876.94197 [42,] -24210.89614 6605.65719 [43,] 3732.62701 -24210.89614 [44,] -116552.40973 3732.62701 [45,] 33091.36054 -116552.40973 [46,] -33682.57718 33091.36054 [47,] -24395.27749 -33682.57718 [48,] -66914.02735 -24395.27749 [49,] -51057.68640 -66914.02735 [50,] -41803.95083 -51057.68640 [51,] -18802.09237 -41803.95083 [52,] 33031.15733 -18802.09237 [53,] -7316.43708 33031.15733 [54,] -14653.50668 -7316.43708 [55,] -15923.30006 -14653.50668 [56,] -7977.05809 -15923.30006 [57,] -61768.18921 -7977.05809 [58,] 16974.54415 -61768.18921 [59,] 46155.11592 16974.54415 [60,] -40759.65016 46155.11592 [61,] -74545.98540 -40759.65016 [62,] 1341.67474 -74545.98540 [63,] -2310.52080 1341.67474 [64,] 26701.92450 -2310.52080 [65,] 5242.28694 26701.92450 [66,] -32625.33562 5242.28694 [67,] -65422.02966 -32625.33562 [68,] -5637.07150 -65422.02966 [69,] -16015.96502 -5637.07150 [70,] -12157.32148 -16015.96502 [71,] -9351.86583 -12157.32148 [72,] 10066.14695 -9351.86583 [73,] 5628.71519 10066.14695 [74,] -482.87195 5628.71519 [75,] 121347.18506 -482.87195 [76,] 45152.66000 121347.18506 [77,] -71215.99659 45152.66000 [78,] -8885.65197 -71215.99659 [79,] 7272.34892 -8885.65197 [80,] -8646.80240 7272.34892 [81,] 58354.22747 -8646.80240 [82,] -8262.60212 58354.22747 [83,] 13636.36864 -8262.60212 [84,] -19936.62053 13636.36864 [85,] 19948.04084 -19936.62053 [86,] -17866.93921 19948.04084 [87,] 41291.31709 -17866.93921 [88,] 24757.22766 41291.31709 [89,] -100466.30579 24757.22766 [90,] 26878.95091 -100466.30579 [91,] 36750.19803 26878.95091 [92,] -8957.47351 36750.19803 [93,] 4462.40252 -8957.47351 [94,] 40237.42873 4462.40252 [95,] -16740.36296 40237.42873 [96,] 13076.41908 -16740.36296 [97,] -703.29428 13076.41908 [98,] -32136.69892 -703.29428 [99,] -33766.77120 -32136.69892 [100,] -2327.91660 -33766.77120 [101,] -4541.94788 -2327.91660 [102,] -9681.66859 -4541.94788 [103,] -15960.56977 -9681.66859 [104,] -1837.50385 -15960.56977 [105,] -32860.38829 -1837.50385 [106,] -1712.42982 -32860.38829 [107,] 18836.23800 -1712.42982 [108,] -57998.53167 18836.23800 [109,] -138350.73110 -57998.53167 [110,] 59348.14824 -138350.73110 [111,] 44457.18053 59348.14824 [112,] -3845.89720 44457.18053 [113,] -44371.88260 -3845.89720 [114,] 5936.16723 -44371.88260 [115,] 13111.73895 5936.16723 [116,] 34336.65579 13111.73895 [117,] -6167.92533 34336.65579 [118,] 8607.47909 -6167.92533 [119,] -9909.24973 8607.47909 [120,] -26818.27420 -9909.24973 [121,] 20473.81734 -26818.27420 [122,] 32506.45113 20473.81734 [123,] -20457.79651 32506.45113 [124,] -10750.88330 -20457.79651 [125,] 36781.35383 -10750.88330 [126,] 32409.97107 36781.35383 [127,] -1886.73008 32409.97107 [128,] 28641.96946 -1886.73008 [129,] -19252.79251 28641.96946 [130,] -11513.60745 -19252.79251 [131,] 1312.55972 -11513.60745 [132,] -20943.83286 1312.55972 [133,] 9218.53054 -20943.83286 [134,] -1278.71898 9218.53054 [135,] 11914.93762 -1278.71898 [136,] 3385.30512 11914.93762 [137,] -28325.32465 3385.30512 [138,] 28057.69432 -28325.32465 [139,] 12559.27624 28057.69432 [140,] 20127.73060 12559.27624 [141,] 8447.32493 20127.73060 [142,] -25265.95088 8447.32493 [143,] 29912.78209 -25265.95088 [144,] 5925.80118 29912.78209 [145,] -32469.70775 5925.80118 [146,] -33508.67768 -32469.70775 [147,] -17703.23968 -33508.67768 [148,] 2576.68116 -17703.23968 [149,] -2221.21940 2576.68116 [150,] 2415.90692 -2221.21940 [151,] 2509.20885 2415.90692 [152,] 2717.52699 2509.20885 [153,] 2723.45083 2717.52699 [154,] 38098.33852 2723.45083 [155,] 32329.68925 38098.33852 [156,] 2741.22232 32329.68925 [157,] 2344.26052 2741.22232 [158,] -2990.99351 2344.26052 [159,] -97.86896 -2990.99351 [160,] 4872.93772 -97.86896 [161,] 22282.59794 4872.93772 [162,] 1847.79077 22282.59794 [163,] 41126.84193 1847.79077 > z <- as.data.frame(dum1) > z lag(myerror, k = 1) myerror 1 11044.90681 -3008.13124 2 6474.09321 11044.90681 3 -55217.10692 6474.09321 4 9566.09709 -55217.10692 5 -19430.43330 9566.09709 6 48383.63743 -19430.43330 7 -138.03441 48383.63743 8 -15906.43708 -138.03441 9 38795.97024 -15906.43708 10 53892.13143 38795.97024 11 7638.52489 53892.13143 12 6745.81049 7638.52489 13 75448.17681 6745.81049 14 20648.22449 75448.17681 15 -86516.08050 20648.22449 16 36748.72414 -86516.08050 17 77427.41006 36748.72414 18 -14296.12664 77427.41006 19 -16861.40132 -14296.12664 20 -13255.32045 -16861.40132 21 171742.89762 -13255.32045 22 11845.82303 171742.89762 23 -22479.73160 11845.82303 24 -79395.07815 -22479.73160 25 -39281.74110 -79395.07815 26 -25770.85543 -39281.74110 27 37835.12638 -25770.85543 28 13566.28155 37835.12638 29 -9791.23157 13566.28155 30 -12569.52576 -9791.23157 31 20133.56417 -12569.52576 32 49264.97581 20133.56417 33 2883.68440 49264.97581 34 35191.04181 2883.68440 35 6530.43256 35191.04181 36 22525.78340 6530.43256 37 23832.10414 22525.78340 38 5864.24394 23832.10414 39 382.88183 5864.24394 40 9876.94197 382.88183 41 6605.65719 9876.94197 42 -24210.89614 6605.65719 43 3732.62701 -24210.89614 44 -116552.40973 3732.62701 45 33091.36054 -116552.40973 46 -33682.57718 33091.36054 47 -24395.27749 -33682.57718 48 -66914.02735 -24395.27749 49 -51057.68640 -66914.02735 50 -41803.95083 -51057.68640 51 -18802.09237 -41803.95083 52 33031.15733 -18802.09237 53 -7316.43708 33031.15733 54 -14653.50668 -7316.43708 55 -15923.30006 -14653.50668 56 -7977.05809 -15923.30006 57 -61768.18921 -7977.05809 58 16974.54415 -61768.18921 59 46155.11592 16974.54415 60 -40759.65016 46155.11592 61 -74545.98540 -40759.65016 62 1341.67474 -74545.98540 63 -2310.52080 1341.67474 64 26701.92450 -2310.52080 65 5242.28694 26701.92450 66 -32625.33562 5242.28694 67 -65422.02966 -32625.33562 68 -5637.07150 -65422.02966 69 -16015.96502 -5637.07150 70 -12157.32148 -16015.96502 71 -9351.86583 -12157.32148 72 10066.14695 -9351.86583 73 5628.71519 10066.14695 74 -482.87195 5628.71519 75 121347.18506 -482.87195 76 45152.66000 121347.18506 77 -71215.99659 45152.66000 78 -8885.65197 -71215.99659 79 7272.34892 -8885.65197 80 -8646.80240 7272.34892 81 58354.22747 -8646.80240 82 -8262.60212 58354.22747 83 13636.36864 -8262.60212 84 -19936.62053 13636.36864 85 19948.04084 -19936.62053 86 -17866.93921 19948.04084 87 41291.31709 -17866.93921 88 24757.22766 41291.31709 89 -100466.30579 24757.22766 90 26878.95091 -100466.30579 91 36750.19803 26878.95091 92 -8957.47351 36750.19803 93 4462.40252 -8957.47351 94 40237.42873 4462.40252 95 -16740.36296 40237.42873 96 13076.41908 -16740.36296 97 -703.29428 13076.41908 98 -32136.69892 -703.29428 99 -33766.77120 -32136.69892 100 -2327.91660 -33766.77120 101 -4541.94788 -2327.91660 102 -9681.66859 -4541.94788 103 -15960.56977 -9681.66859 104 -1837.50385 -15960.56977 105 -32860.38829 -1837.50385 106 -1712.42982 -32860.38829 107 18836.23800 -1712.42982 108 -57998.53167 18836.23800 109 -138350.73110 -57998.53167 110 59348.14824 -138350.73110 111 44457.18053 59348.14824 112 -3845.89720 44457.18053 113 -44371.88260 -3845.89720 114 5936.16723 -44371.88260 115 13111.73895 5936.16723 116 34336.65579 13111.73895 117 -6167.92533 34336.65579 118 8607.47909 -6167.92533 119 -9909.24973 8607.47909 120 -26818.27420 -9909.24973 121 20473.81734 -26818.27420 122 32506.45113 20473.81734 123 -20457.79651 32506.45113 124 -10750.88330 -20457.79651 125 36781.35383 -10750.88330 126 32409.97107 36781.35383 127 -1886.73008 32409.97107 128 28641.96946 -1886.73008 129 -19252.79251 28641.96946 130 -11513.60745 -19252.79251 131 1312.55972 -11513.60745 132 -20943.83286 1312.55972 133 9218.53054 -20943.83286 134 -1278.71898 9218.53054 135 11914.93762 -1278.71898 136 3385.30512 11914.93762 137 -28325.32465 3385.30512 138 28057.69432 -28325.32465 139 12559.27624 28057.69432 140 20127.73060 12559.27624 141 8447.32493 20127.73060 142 -25265.95088 8447.32493 143 29912.78209 -25265.95088 144 5925.80118 29912.78209 145 -32469.70775 5925.80118 146 -33508.67768 -32469.70775 147 -17703.23968 -33508.67768 148 2576.68116 -17703.23968 149 -2221.21940 2576.68116 150 2415.90692 -2221.21940 151 2509.20885 2415.90692 152 2717.52699 2509.20885 153 2723.45083 2717.52699 154 38098.33852 2723.45083 155 32329.68925 38098.33852 156 2741.22232 32329.68925 157 2344.26052 2741.22232 158 -2990.99351 2344.26052 159 -97.86896 -2990.99351 160 4872.93772 -97.86896 161 22282.59794 4872.93772 162 1847.79077 22282.59794 163 41126.84193 1847.79077 > 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/7qvhx1324660989.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > acf(mysum$resid, lag.max=length(mysum$resid)/2, main='Residual Autocorrelation Function') > grid() > dev.off() null device 1 > postscript(file="/var/wessaorg/rcomp/tmp/89gfm1324660989.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > pacf(mysum$resid, lag.max=length(mysum$resid)/2, main='Residual Partial Autocorrelation Function') > grid() > dev.off() null device 1 > postscript(file="/var/wessaorg/rcomp/tmp/9zxrl1324660989.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > opar <- par(mfrow = c(2,2), oma = c(0, 0, 1.1, 0)) > plot(mylm, las = 1, sub='Residual Diagnostics') > par(opar) > dev.off() null device 1 > if (n > n25) { + postscript(file="/var/wessaorg/rcomp/tmp/10ix481324660989.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) + plot(kp3:nmkm3,gqarr[,2], main='Goldfeld-Quandt test',ylab='2-sided p-value',xlab='breakpoint') + grid() + dev.off() + } null device 1 > > #Note: the /var/wessaorg/rcomp/createtable file can be downloaded at http://www.wessa.net/cretab > load(file="/var/wessaorg/rcomp/createtable") > > a<-table.start() > a<-table.row.start(a) > a<-table.element(a, 'Multiple Linear Regression - Estimated Regression Equation', 1, TRUE) > a<-table.row.end(a) > myeq <- colnames(x)[1] > myeq <- paste(myeq, '[t] = ', sep='') > for (i in 1:k){ + if (mysum$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/11ygdk1324660989.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/128pv31324660989.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/13ugna1324660989.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/14gvs71324660989.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/15r9411324660989.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/16qkoq1324660989.tab") + } > > try(system("convert tmp/1cii41324660989.ps tmp/1cii41324660989.png",intern=TRUE)) character(0) > try(system("convert tmp/2mk5i1324660989.ps tmp/2mk5i1324660989.png",intern=TRUE)) character(0) > try(system("convert tmp/3p1b51324660989.ps tmp/3p1b51324660989.png",intern=TRUE)) character(0) > try(system("convert tmp/4msba1324660989.ps tmp/4msba1324660989.png",intern=TRUE)) character(0) > try(system("convert tmp/5v5kk1324660989.ps tmp/5v5kk1324660989.png",intern=TRUE)) character(0) > try(system("convert tmp/6f07i1324660989.ps tmp/6f07i1324660989.png",intern=TRUE)) character(0) > try(system("convert tmp/7qvhx1324660989.ps tmp/7qvhx1324660989.png",intern=TRUE)) character(0) > try(system("convert tmp/89gfm1324660989.ps tmp/89gfm1324660989.png",intern=TRUE)) character(0) > try(system("convert tmp/9zxrl1324660989.ps tmp/9zxrl1324660989.png",intern=TRUE)) character(0) > try(system("convert tmp/10ix481324660989.ps tmp/10ix481324660989.png",intern=TRUE)) character(0) > > > proc.time() user system elapsed 5.236 0.754 6.012