R version 2.12.0 (2010-10-15) Copyright (C) 2010 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(18 + ,1760 + ,89 + ,20465 + ,70 + ,20 + ,1609 + ,56 + ,33629 + ,80 + ,0 + ,192 + ,18 + ,1423 + ,0 + ,26 + ,2182 + ,92 + ,25629 + ,81 + ,31 + ,3367 + ,131 + ,54002 + ,124 + ,36 + ,6727 + ,257 + ,151036 + ,140 + ,23 + ,1619 + ,55 + ,33287 + ,88 + ,30 + ,1507 + ,56 + ,31172 + ,115 + ,30 + ,1682 + ,42 + ,28113 + ,109 + ,26 + ,2812 + ,92 + ,57803 + ,104 + ,24 + ,1943 + ,74 + ,49830 + ,63 + ,30 + ,2017 + ,66 + ,52143 + ,118 + ,21 + ,1702 + ,96 + ,21055 + ,68 + ,25 + ,3034 + ,110 + ,47007 + ,100 + ,18 + ,1379 + ,55 + ,28735 + ,63 + ,19 + ,1517 + ,79 + ,59147 + ,74 + ,33 + ,1637 + ,53 + ,78950 + ,132 + ,15 + ,1169 + ,54 + ,13497 + ,54 + ,34 + ,2384 + ,84 + ,46154 + ,134 + ,18 + ,726 + ,24 + ,53249 + ,57 + ,15 + ,993 + ,55 + ,10726 + ,59 + ,30 + ,2683 + ,96 + ,83700 + ,113 + ,25 + ,1713 + ,70 + ,40400 + ,96 + ,34 + ,2027 + ,50 + ,33797 + ,96 + ,21 + ,1818 + ,81 + ,36205 + ,78 + ,21 + ,1393 + ,28 + ,30165 + ,80 + ,25 + ,2000 + ,154 + ,58534 + ,93 + ,31 + ,1346 + ,85 + ,44663 + ,109 + ,31 + ,2676 + ,115 + ,92556 + ,115 + ,20 + ,2106 + ,43 + ,40078 + ,79 + ,28 + ,1591 + ,43 + ,34711 + ,103 + ,20 + ,1519 + ,43 + ,31076 + ,65 + ,17 + ,2171 + ,101 + ,74608 + ,66 + ,25 + ,3003 + ,121 + ,58092 + ,100 + ,24 + ,2364 + ,52 + ,42009 + ,96 + ,0 + ,1 + ,1 + ,0 + ,0 + ,27 + ,2017 + ,60 + ,36022 + ,105 + ,14 + ,1564 + ,50 + ,23333 + ,51 + ,32 + ,2072 + ,47 + ,53349 + ,108 + ,31 + ,2106 + ,63 + ,92596 + ,124 + ,21 + ,2270 + ,69 + ,49598 + ,81 + ,34 + ,1643 + ,56 + ,44093 + ,136 + ,23 + ,957 + ,29 + ,84205 + ,84 + ,24 + ,2025 + ,77 + ,63369 + ,92 + ,26 + ,1236 + ,46 + ,60132 + ,103 + ,22 + ,1178 + ,91 + ,37403 + ,82 + ,35 + ,744 + ,31 + ,24460 + ,106 + ,21 + ,1976 + ,92 + ,46456 + ,84 + ,31 + ,2224 + ,85 + ,66616 + ,124 + ,26 + ,2561 + ,56 + ,41554 + ,97 + ,22 + ,658 + ,28 + ,22346 + ,82 + ,21 + ,1779 + ,65 + ,30874 + ,79 + ,27 + ,2355 + ,71 + ,68701 + ,97 + ,30 + ,2017 + ,77 + ,35728 + ,107 + ,33 + ,1758 + ,59 + ,29010 + ,126 + ,11 + ,1675 + ,54 + ,23110 + ,40 + ,26 + ,1760 + ,62 + ,38844 + ,96 + ,26 + ,875 + ,23 + ,27084 + ,100 + ,23 + ,1169 + ,65 + ,35139 + ,91 + ,38 + ,2789 + ,93 + ,57476 + ,136 + ,29 + ,1606 + ,56 + ,33277 + ,116 + ,19 + ,2020 + ,76 + ,31141 + ,76 + ,19 + ,1300 + ,58 + ,61281 + ,65 + ,26 + ,1235 + ,35 + ,25820 + ,96 + ,26 + ,1215 + ,32 + ,23284 + ,97 + ,29 + ,1230 + ,38 + ,35378 + ,107 + ,36 + ,2226 + ,67 + ,74990 + ,144 + ,25 + ,2897 + ,65 + ,29653 + ,90 + ,24 + ,1071 + ,38 + ,64622 + ,93 + ,21 + ,340 + ,15 + ,4157 + ,78 + ,19 + ,2704 + ,110 + ,29245 + ,72 + ,12 + ,1247 + ,64 + ,50008 + ,45 + ,30 + ,1422 + ,64 + ,52338 + ,120 + ,21 + ,1535 + ,68 + ,13310 + ,59 + ,34 + ,2593 + ,66 + ,92901 + ,133 + ,32 + ,1397 + ,42 + ,10956 + ,117 + ,28 + ,2162 + ,58 + ,34241 + ,123 + ,28 + ,2513 + ,94 + ,75043 + ,110 + ,21 + ,917 + ,26 + ,21152 + ,75 + ,31 + ,1234 + ,71 + ,42249 + ,114 + ,26 + ,917 + ,66 + ,42005 + ,94 + ,29 + ,1924 + ,59 + ,41152 + ,116 + ,23 + ,853 + ,27 + ,14399 + ,86 + ,25 + ,1398 + ,34 + ,28263 + ,90 + ,22 + ,986 + ,44 + ,17215 + ,87 + ,26 + ,1608 + ,47 + ,48140 + ,99 + ,33 + ,2577 + ,220 + ,62897 + ,132 + ,24 + ,1201 + ,108 + ,22883 + ,96 + ,24 + ,1189 + ,56 + ,41622 + ,91 + ,21 + ,1431 + ,50 + ,40715 + ,77 + ,28 + ,1698 + ,40 + ,65897 + ,104 + ,27 + ,2185 + ,74 + ,76542 + ,97 + ,25 + ,1228 + ,56 + ,37477 + ,94 + ,15 + ,1266 + ,58 + ,53216 + ,60 + ,13 + ,830 + ,36 + ,40911 + ,46 + ,36 + ,2238 + ,111 + ,57021 + ,135 + ,24 + ,1787 + ,68 + ,73116 + ,90 + ,1 + ,223 + ,12 + ,3895 + ,2 + ,24 + ,2254 + ,100 + ,46609 + ,96 + ,31 + ,1952 + ,75 + ,29351 + ,109 + ,4 + ,665 + ,28 + ,2325 + ,15 + ,20 + ,804 + ,22 + ,31747 + ,64 + ,23 + ,1211 + ,49 + ,32665 + ,88 + ,23 + ,1143 + ,57 + ,19249 + ,84 + ,12 + ,710 + ,38 + ,15292 + ,46 + ,16 + ,596 + ,22 + ,5842 + ,59 + ,29 + ,1353 + ,44 + ,33994 + ,116 + ,10 + ,971 + ,32 + ,13018 + ,29 + ,0 + ,0 + ,0 + ,0 + ,0 + ,25 + ,1030 + ,31 + ,98177 + ,91 + ,21 + ,1130 + ,66 + ,37941 + ,76 + ,23 + ,1284 + ,44 + ,31032 + ,83 + ,21 + ,1438 + ,61 + ,32683 + ,84 + ,21 + ,849 + ,57 + ,34545 + ,65 + ,0 + ,78 + ,5 + ,0 + ,0 + ,0 + ,0 + ,0 + ,0 + ,0 + ,23 + ,925 + ,39 + ,27525 + ,84 + ,29 + ,1518 + ,78 + ,66856 + ,99 + ,28 + ,1946 + ,95 + ,28549 + ,112 + ,23 + ,914 + ,37 + ,38610 + ,92 + ,1 + ,778 + ,19 + ,2781 + ,3 + ,29 + ,1713 + ,71 + ,41211 + ,109 + ,17 + ,895 + ,40 + ,22698 + ,71 + ,29 + ,1756 + ,52 + ,41194 + ,106 + ,12 + ,701 + ,40 + ,32689 + ,48 + ,2 + ,285 + ,12 + ,5752 + ,8 + ,21 + ,1774 + ,55 + ,26757 + ,80 + ,25 + ,1071 + ,29 + ,22527 + ,95 + ,29 + ,1582 + ,46 + ,44810 + ,116 + ,2 + ,256 + ,9 + ,0 + ,8 + ,0 + ,98 + ,9 + ,0 + ,0 + ,18 + ,1358 + ,55 + ,100674 + ,56 + ,1 + ,41 + ,3 + ,0 + ,4 + ,21 + ,1771 + ,58 + ,57786 + ,70 + ,0 + ,42 + ,3 + ,0 + ,0 + ,4 + ,528 + ,16 + ,5444 + ,14 + ,0 + ,0 + ,0 + ,0 + ,0 + ,25 + ,1026 + ,45 + ,28470 + ,91 + ,26 + ,1296 + ,38 + ,61849 + ,89 + ,0 + ,81 + ,4 + ,0 + ,0 + ,4 + ,257 + ,13 + ,2179 + ,12 + ,17 + ,914 + ,23 + ,8019 + ,60 + ,21 + ,1178 + ,50 + ,39644 + ,80 + ,22 + ,1080 + ,19 + ,23494 + ,88) + ,dim=c(5 + ,144) + ,dimnames=list(c('CPR' + ,'PGVWS' + ,'LGNS' + ,'CMPCH' + ,'TNSFM') + ,1:144)) > y <- array(NA,dim=c(5,144),dimnames=list(c('CPR','PGVWS','LGNS','CMPCH','TNSFM'),1:144)) > 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 CPR PGVWS LGNS CMPCH TNSFM 1 18 1760 89 20465 70 2 20 1609 56 33629 80 3 0 192 18 1423 0 4 26 2182 92 25629 81 5 31 3367 131 54002 124 6 36 6727 257 151036 140 7 23 1619 55 33287 88 8 30 1507 56 31172 115 9 30 1682 42 28113 109 10 26 2812 92 57803 104 11 24 1943 74 49830 63 12 30 2017 66 52143 118 13 21 1702 96 21055 68 14 25 3034 110 47007 100 15 18 1379 55 28735 63 16 19 1517 79 59147 74 17 33 1637 53 78950 132 18 15 1169 54 13497 54 19 34 2384 84 46154 134 20 18 726 24 53249 57 21 15 993 55 10726 59 22 30 2683 96 83700 113 23 25 1713 70 40400 96 24 34 2027 50 33797 96 25 21 1818 81 36205 78 26 21 1393 28 30165 80 27 25 2000 154 58534 93 28 31 1346 85 44663 109 29 31 2676 115 92556 115 30 20 2106 43 40078 79 31 28 1591 43 34711 103 32 20 1519 43 31076 65 33 17 2171 101 74608 66 34 25 3003 121 58092 100 35 24 2364 52 42009 96 36 0 1 1 0 0 37 27 2017 60 36022 105 38 14 1564 50 23333 51 39 32 2072 47 53349 108 40 31 2106 63 92596 124 41 21 2270 69 49598 81 42 34 1643 56 44093 136 43 23 957 29 84205 84 44 24 2025 77 63369 92 45 26 1236 46 60132 103 46 22 1178 91 37403 82 47 35 744 31 24460 106 48 21 1976 92 46456 84 49 31 2224 85 66616 124 50 26 2561 56 41554 97 51 22 658 28 22346 82 52 21 1779 65 30874 79 53 27 2355 71 68701 97 54 30 2017 77 35728 107 55 33 1758 59 29010 126 56 11 1675 54 23110 40 57 26 1760 62 38844 96 58 26 875 23 27084 100 59 23 1169 65 35139 91 60 38 2789 93 57476 136 61 29 1606 56 33277 116 62 19 2020 76 31141 76 63 19 1300 58 61281 65 64 26 1235 35 25820 96 65 26 1215 32 23284 97 66 29 1230 38 35378 107 67 36 2226 67 74990 144 68 25 2897 65 29653 90 69 24 1071 38 64622 93 70 21 340 15 4157 78 71 19 2704 110 29245 72 72 12 1247 64 50008 45 73 30 1422 64 52338 120 74 21 1535 68 13310 59 75 34 2593 66 92901 133 76 32 1397 42 10956 117 77 28 2162 58 34241 123 78 28 2513 94 75043 110 79 21 917 26 21152 75 80 31 1234 71 42249 114 81 26 917 66 42005 94 82 29 1924 59 41152 116 83 23 853 27 14399 86 84 25 1398 34 28263 90 85 22 986 44 17215 87 86 26 1608 47 48140 99 87 33 2577 220 62897 132 88 24 1201 108 22883 96 89 24 1189 56 41622 91 90 21 1431 50 40715 77 91 28 1698 40 65897 104 92 27 2185 74 76542 97 93 25 1228 56 37477 94 94 15 1266 58 53216 60 95 13 830 36 40911 46 96 36 2238 111 57021 135 97 24 1787 68 73116 90 98 1 223 12 3895 2 99 24 2254 100 46609 96 100 31 1952 75 29351 109 101 4 665 28 2325 15 102 20 804 22 31747 64 103 23 1211 49 32665 88 104 23 1143 57 19249 84 105 12 710 38 15292 46 106 16 596 22 5842 59 107 29 1353 44 33994 116 108 10 971 32 13018 29 109 0 0 0 0 0 110 25 1030 31 98177 91 111 21 1130 66 37941 76 112 23 1284 44 31032 83 113 21 1438 61 32683 84 114 21 849 57 34545 65 115 0 78 5 0 0 116 0 0 0 0 0 117 23 925 39 27525 84 118 29 1518 78 66856 99 119 28 1946 95 28549 112 120 23 914 37 38610 92 121 1 778 19 2781 3 122 29 1713 71 41211 109 123 17 895 40 22698 71 124 29 1756 52 41194 106 125 12 701 40 32689 48 126 2 285 12 5752 8 127 21 1774 55 26757 80 128 25 1071 29 22527 95 129 29 1582 46 44810 116 130 2 256 9 0 8 131 0 98 9 0 0 132 18 1358 55 100674 56 133 1 41 3 0 4 134 21 1771 58 57786 70 135 0 42 3 0 0 136 4 528 16 5444 14 137 0 0 0 0 0 138 25 1026 45 28470 91 139 26 1296 38 61849 89 140 0 81 4 0 0 141 4 257 13 2179 12 142 17 914 23 8019 60 143 21 1178 50 39644 80 144 22 1080 19 23494 88 > k <- length(x[1,]) > df <- as.data.frame(x) > (mylm <- lm(df)) Call: lm(formula = df) Coefficients: (Intercept) PGVWS LGNS CMPCH TNSFM 1.037e+00 4.956e-05 -4.678e-03 5.420e-06 2.552e-01 > (mysum <- summary(mylm)) Call: lm(formula = df) Residuals: Min 1Q Median 3Q Max -4.4505 -1.1685 -0.3968 0.6174 8.4120 Coefficients: Estimate Std. Error t value Pr(>|t|) (Intercept) 1.037e+00 3.718e-01 2.791 0.006 ** PGVWS 4.956e-05 3.761e-04 0.132 0.895 LGNS -4.678e-03 7.584e-03 -0.617 0.538 CMPCH 5.420e-06 8.761e-06 0.619 0.537 TNSFM 2.552e-01 5.949e-03 42.904 <2e-16 *** --- Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 Residual standard error: 1.79 on 139 degrees of freedom Multiple R-squared: 0.9646, Adjusted R-squared: 0.9636 F-statistic: 947.7 on 4 and 139 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,] 0.8834590 2.330821e-01 1.165410e-01 [2,] 0.7933754 4.132493e-01 2.066246e-01 [3,] 0.7564508 4.870984e-01 2.435492e-01 [4,] 0.9993204 1.359230e-03 6.796150e-04 [5,] 0.9987495 2.501087e-03 1.250543e-03 [6,] 0.9984969 3.006229e-03 1.503115e-03 [7,] 0.9975811 4.837819e-03 2.418909e-03 [8,] 0.9955480 8.903946e-03 4.451973e-03 [9,] 0.9948060 1.038793e-02 5.193967e-03 [10,] 0.9919711 1.605783e-02 8.028915e-03 [11,] 0.9873917 2.521656e-02 1.260828e-02 [12,] 0.9807997 3.840060e-02 1.920030e-02 [13,] 0.9801600 3.967996e-02 1.983998e-02 [14,] 0.9767796 4.644078e-02 2.322039e-02 [15,] 0.9657001 6.859979e-02 3.429989e-02 [16,] 0.9510928 9.781436e-02 4.890718e-02 [17,] 0.9999256 1.487169e-04 7.435847e-05 [18,] 0.9998633 2.733258e-04 1.366629e-04 [19,] 0.9998827 2.345850e-04 1.172925e-04 [20,] 0.9999050 1.899623e-04 9.498115e-05 [21,] 0.9999386 1.228652e-04 6.143260e-05 [22,] 0.9998975 2.050395e-04 1.025198e-04 [23,] 0.9998885 2.229558e-04 1.114779e-04 [24,] 0.9998128 3.743817e-04 1.871909e-04 [25,] 0.9998112 3.775061e-04 1.887531e-04 [26,] 0.9997393 5.213417e-04 2.606709e-04 [27,] 0.9996840 6.320021e-04 3.160010e-04 [28,] 0.9996683 6.634101e-04 3.317051e-04 [29,] 0.9996581 6.838058e-04 3.419029e-04 [30,] 0.9995033 9.933278e-04 4.966639e-04 [31,] 0.9992242 1.551564e-03 7.757821e-04 [32,] 0.9996668 6.663609e-04 3.331805e-04 [33,] 0.9996675 6.649041e-04 3.324520e-04 [34,] 0.9995158 9.683830e-04 4.841915e-04 [35,] 0.9994849 1.030248e-03 5.151240e-04 [36,] 0.9992007 1.598586e-03 7.992928e-04 [37,] 0.9988176 2.364776e-03 1.182388e-03 [38,] 0.9986060 2.787973e-03 1.393986e-03 [39,] 0.9979000 4.199993e-03 2.099996e-03 [40,] 0.9999964 7.161567e-06 3.580784e-06 [41,] 0.9999958 8.351900e-06 4.175950e-06 [42,] 0.9999959 8.179142e-06 4.089571e-06 [43,] 0.9999927 1.458196e-05 7.290978e-06 [44,] 0.9999878 2.445467e-05 1.222734e-05 [45,] 0.9999794 4.120390e-05 2.060195e-05 [46,] 0.9999698 6.044459e-05 3.022229e-05 [47,] 0.9999676 6.474093e-05 3.237046e-05 [48,] 0.9999474 1.051735e-04 5.258673e-05 [49,] 0.9999164 1.671626e-04 8.358132e-05 [50,] 0.9998677 2.645331e-04 1.322666e-04 [51,] 0.9998046 3.907143e-04 1.953572e-04 [52,] 0.9997540 4.920032e-04 2.460016e-04 [53,] 0.9998169 3.662669e-04 1.831334e-04 [54,] 0.9998038 3.923162e-04 1.961581e-04 [55,] 0.9997701 4.597401e-04 2.298701e-04 [56,] 0.9997006 5.987740e-04 2.993870e-04 [57,] 0.9995535 8.929372e-04 4.464686e-04 [58,] 0.9993292 1.341660e-03 6.708299e-04 [59,] 0.9990487 1.902611e-03 9.513056e-04 [60,] 0.9991349 1.730120e-03 8.650599e-04 [61,] 0.9988762 2.247639e-03 1.123820e-03 [62,] 0.9985674 2.865127e-03 1.432564e-03 [63,] 0.9979530 4.094053e-03 2.047027e-03 [64,] 0.9970574 5.885284e-03 2.942642e-03 [65,] 0.9960098 7.980348e-03 3.990174e-03 [66,] 0.9959789 8.042153e-03 4.021076e-03 [67,] 0.9999336 1.328295e-04 6.641476e-05 [68,] 0.9999310 1.380901e-04 6.904505e-05 [69,] 0.9999372 1.256843e-04 6.284213e-05 [70,] 0.9999975 4.995669e-06 2.497835e-06 [71,] 0.9999976 4.706768e-06 2.353384e-06 [72,] 0.9999966 6.852483e-06 3.426241e-06 [73,] 0.9999951 9.765127e-06 4.882564e-06 [74,] 0.9999936 1.289343e-05 6.446714e-06 [75,] 0.9999948 1.041195e-05 5.205975e-06 [76,] 0.9999913 1.745901e-05 8.729505e-06 [77,] 0.9999876 2.489073e-05 1.244536e-05 [78,] 0.9999817 3.665063e-05 1.832531e-05 [79,] 0.9999712 5.750234e-05 2.875117e-05 [80,] 0.9999626 7.473238e-05 3.736619e-05 [81,] 0.9999508 9.844719e-05 4.922360e-05 [82,] 0.9999179 1.641317e-04 8.206585e-05 [83,] 0.9998606 2.788979e-04 1.394489e-04 [84,] 0.9997726 4.547420e-04 2.273710e-04 [85,] 0.9996483 7.033532e-04 3.516766e-04 [86,] 0.9994258 1.148384e-03 5.741919e-04 [87,] 0.9995913 8.174592e-04 4.087296e-04 [88,] 0.9993366 1.326880e-03 6.634400e-04 [89,] 0.9989745 2.050938e-03 1.025469e-03 [90,] 0.9988080 2.384004e-03 1.192002e-03 [91,] 0.9982462 3.507507e-03 1.753754e-03 [92,] 0.9992064 1.587120e-03 7.935600e-04 [93,] 0.9994792 1.041506e-03 5.207530e-04 [94,] 0.9992275 1.544941e-03 7.724703e-04 [95,] 0.9998183 3.634534e-04 1.817267e-04 [96,] 0.9996933 6.134894e-04 3.067447e-04 [97,] 0.9995680 8.640876e-04 4.320438e-04 [98,] 0.9993167 1.366579e-03 6.832894e-04 [99,] 0.9991457 1.708651e-03 8.543255e-04 [100,] 0.9988916 2.216820e-03 1.108410e-03 [101,] 0.9991212 1.757576e-03 8.787882e-04 [102,] 0.9986155 2.769013e-03 1.384507e-03 [103,] 0.9987034 2.593161e-03 1.296581e-03 [104,] 0.9978049 4.390205e-03 2.195102e-03 [105,] 0.9970885 5.823059e-03 2.911530e-03 [106,] 0.9971840 5.632081e-03 2.816040e-03 [107,] 0.9998322 3.356408e-04 1.678204e-04 [108,] 0.9996879 6.241194e-04 3.120597e-04 [109,] 0.9994233 1.153400e-03 5.766999e-04 [110,] 0.9993382 1.323594e-03 6.617969e-04 [111,] 0.9997979 4.041455e-04 2.020728e-04 [112,] 0.9996274 7.451524e-04 3.725762e-04 [113,] 0.9995191 9.617644e-04 4.808822e-04 [114,] 0.9991604 1.679247e-03 8.396234e-04 [115,] 0.9983889 3.222240e-03 1.611120e-03 [116,] 0.9985932 2.813601e-03 1.406800e-03 [117,] 0.9975226 4.954777e-03 2.477388e-03 [118,] 0.9978538 4.292434e-03 2.146217e-03 [119,] 0.9960112 7.977570e-03 3.988785e-03 [120,] 0.9934958 1.300839e-02 6.504195e-03 [121,] 0.9880917 2.381667e-02 1.190834e-02 [122,] 0.9969653 6.069358e-03 3.034679e-03 [123,] 0.9931207 1.375856e-02 6.879280e-03 [124,] 0.9847022 3.059565e-02 1.529783e-02 [125,] 0.9695942 6.081158e-02 3.040579e-02 [126,] 0.9366268 1.267464e-01 6.337321e-02 [127,] 0.8765883 2.468233e-01 1.234117e-01 [128,] 0.7750354 4.499291e-01 2.249646e-01 [129,] 0.6311859 7.376281e-01 3.688141e-01 > postscript(file="/var/www/rcomp/tmp/1pwvu1324373371.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$resid) > grid() > dev.off() null device 1 > postscript(file="/var/www/rcomp/tmp/22v4m1324373371.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > plot(mysum$resid, type='b', pch=19, main='Residuals', ylab='value of Residuals', xlab='time or index') > grid() > dev.off() null device 1 > postscript(file="/var/www/rcomp/tmp/3q8gb1324373371.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > hist(mysum$resid, main='Residual Histogram', xlab='values of Residuals') > grid() > dev.off() null device 1 > postscript(file="/var/www/rcomp/tmp/48un41324373371.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > densityplot(~mysum$resid,col='black',main='Residual Density Plot', xlab='values of Residuals') > dev.off() null device 1 > postscript(file="/var/www/rcomp/tmp/5f1qg1324373371.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 = 144 Frequency = 1 1 2 3 4 5 6 -0.68438965 -1.45479293 -0.97042350 4.47335462 -1.53103820 -0.71751348 7 8 9 10 11 12 -0.49984837 -0.36901325 1.10470134 -1.60223322 6.86373955 -1.22681834 13 14 15 16 17 18 2.85846727 -1.44965422 0.91714052 -0.94963713 -1.98711985 0.30240853 19 20 21 22 23 24 -1.21181700 2.20293205 -0.94525671 -0.01443316 -0.51462315 8.41203983 25 26 27 28 29 30 0.14827052 -0.55629688 0.53147320 2.23281300 0.51636508 -1.31997517 31 32 33 34 35 36 0.60943217 2.33094423 -0.92119514 -1.45673699 -1.63981399 -1.03277025 37 38 39 40 41 42 -0.84969566 -0.02353881 3.22720679 -1.99580752 -0.76850526 -1.80533705 43 44 45 46 47 48 0.15624406 -0.60095848 -1.49671209 0.19941150 6.88518414 -1.39496150 49 50 51 52 53 54 -1.75793701 0.11638274 0.01207596 -0.15096890 1.04963483 1.72098974 55 56 57 58 59 60 -0.16308879 -0.20173387 0.45405640 -0.64165253 -1.20645227 2.23841566 61 62 63 64 65 66 -1.64054552 -1.34725243 1.24826728 0.42435815 0.16984288 0.57945254 67 68 69 70 71 72 -1.99196274 0.99284892 -0.99812302 0.08646999 -0.19095973 -0.55560341 73 74 75 76 77 78 -1.71817390 5.07468855 -1.30451689 1.17007749 -4.45049060 -1.20279417 79 80 81 82 83 84 0.78287220 0.90987092 1.00785377 -1.68495318 0.01993537 0.92966230 85 86 87 88 89 90 -1.17760965 -0.42461172 -1.16548416 -1.21654569 -0.28468129 0.25320855 91 92 93 94 95 96 0.16585961 1.02959910 -0.02980049 -1.43025319 0.12816733 0.60761262 97 98 99 100 101 102 -0.17365577 -0.52385925 -1.43474882 2.23898296 -0.78023008 2.51972561 103 104 105 106 107 108 -0.50432281 0.63004966 -0.71768205 -0.05348342 -1.68802741 1.59232552 109 110 111 112 113 114 -1.03739867 0.29973958 0.61322655 0.75360393 -1.43866803 3.41084369 115 116 117 118 119 120 -1.01787478 -1.03739867 0.51179767 2.62343205 -1.42846400 -1.59882562 121 122 123 124 125 126 -0.76780121 0.16783956 -2.13805666 0.84256933 -1.31260004 -1.06829812 127 128 129 130 131 132 -0.43040507 -0.32251722 -1.74864107 -1.04972070 -1.00015411 2.31481323 133 134 135 136 137 138 -1.04626453 1.96777943 -1.02544643 -0.59126266 -1.03739867 0.74321955 139 140 141 142 143 144 2.02662134 -1.02270147 -0.06373546 0.66841737 -0.49409781 -1.58846563 > postscript(file="/var/www/rcomp/tmp/66edr1324373371.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 = 144 Frequency = 1 lag(myerror, k = 1) myerror 0 -0.68438965 NA 1 -1.45479293 -0.68438965 2 -0.97042350 -1.45479293 3 4.47335462 -0.97042350 4 -1.53103820 4.47335462 5 -0.71751348 -1.53103820 6 -0.49984837 -0.71751348 7 -0.36901325 -0.49984837 8 1.10470134 -0.36901325 9 -1.60223322 1.10470134 10 6.86373955 -1.60223322 11 -1.22681834 6.86373955 12 2.85846727 -1.22681834 13 -1.44965422 2.85846727 14 0.91714052 -1.44965422 15 -0.94963713 0.91714052 16 -1.98711985 -0.94963713 17 0.30240853 -1.98711985 18 -1.21181700 0.30240853 19 2.20293205 -1.21181700 20 -0.94525671 2.20293205 21 -0.01443316 -0.94525671 22 -0.51462315 -0.01443316 23 8.41203983 -0.51462315 24 0.14827052 8.41203983 25 -0.55629688 0.14827052 26 0.53147320 -0.55629688 27 2.23281300 0.53147320 28 0.51636508 2.23281300 29 -1.31997517 0.51636508 30 0.60943217 -1.31997517 31 2.33094423 0.60943217 32 -0.92119514 2.33094423 33 -1.45673699 -0.92119514 34 -1.63981399 -1.45673699 35 -1.03277025 -1.63981399 36 -0.84969566 -1.03277025 37 -0.02353881 -0.84969566 38 3.22720679 -0.02353881 39 -1.99580752 3.22720679 40 -0.76850526 -1.99580752 41 -1.80533705 -0.76850526 42 0.15624406 -1.80533705 43 -0.60095848 0.15624406 44 -1.49671209 -0.60095848 45 0.19941150 -1.49671209 46 6.88518414 0.19941150 47 -1.39496150 6.88518414 48 -1.75793701 -1.39496150 49 0.11638274 -1.75793701 50 0.01207596 0.11638274 51 -0.15096890 0.01207596 52 1.04963483 -0.15096890 53 1.72098974 1.04963483 54 -0.16308879 1.72098974 55 -0.20173387 -0.16308879 56 0.45405640 -0.20173387 57 -0.64165253 0.45405640 58 -1.20645227 -0.64165253 59 2.23841566 -1.20645227 60 -1.64054552 2.23841566 61 -1.34725243 -1.64054552 62 1.24826728 -1.34725243 63 0.42435815 1.24826728 64 0.16984288 0.42435815 65 0.57945254 0.16984288 66 -1.99196274 0.57945254 67 0.99284892 -1.99196274 68 -0.99812302 0.99284892 69 0.08646999 -0.99812302 70 -0.19095973 0.08646999 71 -0.55560341 -0.19095973 72 -1.71817390 -0.55560341 73 5.07468855 -1.71817390 74 -1.30451689 5.07468855 75 1.17007749 -1.30451689 76 -4.45049060 1.17007749 77 -1.20279417 -4.45049060 78 0.78287220 -1.20279417 79 0.90987092 0.78287220 80 1.00785377 0.90987092 81 -1.68495318 1.00785377 82 0.01993537 -1.68495318 83 0.92966230 0.01993537 84 -1.17760965 0.92966230 85 -0.42461172 -1.17760965 86 -1.16548416 -0.42461172 87 -1.21654569 -1.16548416 88 -0.28468129 -1.21654569 89 0.25320855 -0.28468129 90 0.16585961 0.25320855 91 1.02959910 0.16585961 92 -0.02980049 1.02959910 93 -1.43025319 -0.02980049 94 0.12816733 -1.43025319 95 0.60761262 0.12816733 96 -0.17365577 0.60761262 97 -0.52385925 -0.17365577 98 -1.43474882 -0.52385925 99 2.23898296 -1.43474882 100 -0.78023008 2.23898296 101 2.51972561 -0.78023008 102 -0.50432281 2.51972561 103 0.63004966 -0.50432281 104 -0.71768205 0.63004966 105 -0.05348342 -0.71768205 106 -1.68802741 -0.05348342 107 1.59232552 -1.68802741 108 -1.03739867 1.59232552 109 0.29973958 -1.03739867 110 0.61322655 0.29973958 111 0.75360393 0.61322655 112 -1.43866803 0.75360393 113 3.41084369 -1.43866803 114 -1.01787478 3.41084369 115 -1.03739867 -1.01787478 116 0.51179767 -1.03739867 117 2.62343205 0.51179767 118 -1.42846400 2.62343205 119 -1.59882562 -1.42846400 120 -0.76780121 -1.59882562 121 0.16783956 -0.76780121 122 -2.13805666 0.16783956 123 0.84256933 -2.13805666 124 -1.31260004 0.84256933 125 -1.06829812 -1.31260004 126 -0.43040507 -1.06829812 127 -0.32251722 -0.43040507 128 -1.74864107 -0.32251722 129 -1.04972070 -1.74864107 130 -1.00015411 -1.04972070 131 2.31481323 -1.00015411 132 -1.04626453 2.31481323 133 1.96777943 -1.04626453 134 -1.02544643 1.96777943 135 -0.59126266 -1.02544643 136 -1.03739867 -0.59126266 137 0.74321955 -1.03739867 138 2.02662134 0.74321955 139 -1.02270147 2.02662134 140 -0.06373546 -1.02270147 141 0.66841737 -0.06373546 142 -0.49409781 0.66841737 143 -1.58846563 -0.49409781 144 NA -1.58846563 > dum1 <- dum[2:length(myerror),] > dum1 lag(myerror, k = 1) myerror [1,] -1.45479293 -0.68438965 [2,] -0.97042350 -1.45479293 [3,] 4.47335462 -0.97042350 [4,] -1.53103820 4.47335462 [5,] -0.71751348 -1.53103820 [6,] -0.49984837 -0.71751348 [7,] -0.36901325 -0.49984837 [8,] 1.10470134 -0.36901325 [9,] -1.60223322 1.10470134 [10,] 6.86373955 -1.60223322 [11,] -1.22681834 6.86373955 [12,] 2.85846727 -1.22681834 [13,] -1.44965422 2.85846727 [14,] 0.91714052 -1.44965422 [15,] -0.94963713 0.91714052 [16,] -1.98711985 -0.94963713 [17,] 0.30240853 -1.98711985 [18,] -1.21181700 0.30240853 [19,] 2.20293205 -1.21181700 [20,] -0.94525671 2.20293205 [21,] -0.01443316 -0.94525671 [22,] -0.51462315 -0.01443316 [23,] 8.41203983 -0.51462315 [24,] 0.14827052 8.41203983 [25,] -0.55629688 0.14827052 [26,] 0.53147320 -0.55629688 [27,] 2.23281300 0.53147320 [28,] 0.51636508 2.23281300 [29,] -1.31997517 0.51636508 [30,] 0.60943217 -1.31997517 [31,] 2.33094423 0.60943217 [32,] -0.92119514 2.33094423 [33,] -1.45673699 -0.92119514 [34,] -1.63981399 -1.45673699 [35,] -1.03277025 -1.63981399 [36,] -0.84969566 -1.03277025 [37,] -0.02353881 -0.84969566 [38,] 3.22720679 -0.02353881 [39,] -1.99580752 3.22720679 [40,] -0.76850526 -1.99580752 [41,] -1.80533705 -0.76850526 [42,] 0.15624406 -1.80533705 [43,] -0.60095848 0.15624406 [44,] -1.49671209 -0.60095848 [45,] 0.19941150 -1.49671209 [46,] 6.88518414 0.19941150 [47,] -1.39496150 6.88518414 [48,] -1.75793701 -1.39496150 [49,] 0.11638274 -1.75793701 [50,] 0.01207596 0.11638274 [51,] -0.15096890 0.01207596 [52,] 1.04963483 -0.15096890 [53,] 1.72098974 1.04963483 [54,] -0.16308879 1.72098974 [55,] -0.20173387 -0.16308879 [56,] 0.45405640 -0.20173387 [57,] -0.64165253 0.45405640 [58,] -1.20645227 -0.64165253 [59,] 2.23841566 -1.20645227 [60,] -1.64054552 2.23841566 [61,] -1.34725243 -1.64054552 [62,] 1.24826728 -1.34725243 [63,] 0.42435815 1.24826728 [64,] 0.16984288 0.42435815 [65,] 0.57945254 0.16984288 [66,] -1.99196274 0.57945254 [67,] 0.99284892 -1.99196274 [68,] -0.99812302 0.99284892 [69,] 0.08646999 -0.99812302 [70,] -0.19095973 0.08646999 [71,] -0.55560341 -0.19095973 [72,] -1.71817390 -0.55560341 [73,] 5.07468855 -1.71817390 [74,] -1.30451689 5.07468855 [75,] 1.17007749 -1.30451689 [76,] -4.45049060 1.17007749 [77,] -1.20279417 -4.45049060 [78,] 0.78287220 -1.20279417 [79,] 0.90987092 0.78287220 [80,] 1.00785377 0.90987092 [81,] -1.68495318 1.00785377 [82,] 0.01993537 -1.68495318 [83,] 0.92966230 0.01993537 [84,] -1.17760965 0.92966230 [85,] -0.42461172 -1.17760965 [86,] -1.16548416 -0.42461172 [87,] -1.21654569 -1.16548416 [88,] -0.28468129 -1.21654569 [89,] 0.25320855 -0.28468129 [90,] 0.16585961 0.25320855 [91,] 1.02959910 0.16585961 [92,] -0.02980049 1.02959910 [93,] -1.43025319 -0.02980049 [94,] 0.12816733 -1.43025319 [95,] 0.60761262 0.12816733 [96,] -0.17365577 0.60761262 [97,] -0.52385925 -0.17365577 [98,] -1.43474882 -0.52385925 [99,] 2.23898296 -1.43474882 [100,] -0.78023008 2.23898296 [101,] 2.51972561 -0.78023008 [102,] -0.50432281 2.51972561 [103,] 0.63004966 -0.50432281 [104,] -0.71768205 0.63004966 [105,] -0.05348342 -0.71768205 [106,] -1.68802741 -0.05348342 [107,] 1.59232552 -1.68802741 [108,] -1.03739867 1.59232552 [109,] 0.29973958 -1.03739867 [110,] 0.61322655 0.29973958 [111,] 0.75360393 0.61322655 [112,] -1.43866803 0.75360393 [113,] 3.41084369 -1.43866803 [114,] -1.01787478 3.41084369 [115,] -1.03739867 -1.01787478 [116,] 0.51179767 -1.03739867 [117,] 2.62343205 0.51179767 [118,] -1.42846400 2.62343205 [119,] -1.59882562 -1.42846400 [120,] -0.76780121 -1.59882562 [121,] 0.16783956 -0.76780121 [122,] -2.13805666 0.16783956 [123,] 0.84256933 -2.13805666 [124,] -1.31260004 0.84256933 [125,] -1.06829812 -1.31260004 [126,] -0.43040507 -1.06829812 [127,] -0.32251722 -0.43040507 [128,] -1.74864107 -0.32251722 [129,] -1.04972070 -1.74864107 [130,] -1.00015411 -1.04972070 [131,] 2.31481323 -1.00015411 [132,] -1.04626453 2.31481323 [133,] 1.96777943 -1.04626453 [134,] -1.02544643 1.96777943 [135,] -0.59126266 -1.02544643 [136,] -1.03739867 -0.59126266 [137,] 0.74321955 -1.03739867 [138,] 2.02662134 0.74321955 [139,] -1.02270147 2.02662134 [140,] -0.06373546 -1.02270147 [141,] 0.66841737 -0.06373546 [142,] -0.49409781 0.66841737 [143,] -1.58846563 -0.49409781 > z <- as.data.frame(dum1) > z lag(myerror, k = 1) myerror 1 -1.45479293 -0.68438965 2 -0.97042350 -1.45479293 3 4.47335462 -0.97042350 4 -1.53103820 4.47335462 5 -0.71751348 -1.53103820 6 -0.49984837 -0.71751348 7 -0.36901325 -0.49984837 8 1.10470134 -0.36901325 9 -1.60223322 1.10470134 10 6.86373955 -1.60223322 11 -1.22681834 6.86373955 12 2.85846727 -1.22681834 13 -1.44965422 2.85846727 14 0.91714052 -1.44965422 15 -0.94963713 0.91714052 16 -1.98711985 -0.94963713 17 0.30240853 -1.98711985 18 -1.21181700 0.30240853 19 2.20293205 -1.21181700 20 -0.94525671 2.20293205 21 -0.01443316 -0.94525671 22 -0.51462315 -0.01443316 23 8.41203983 -0.51462315 24 0.14827052 8.41203983 25 -0.55629688 0.14827052 26 0.53147320 -0.55629688 27 2.23281300 0.53147320 28 0.51636508 2.23281300 29 -1.31997517 0.51636508 30 0.60943217 -1.31997517 31 2.33094423 0.60943217 32 -0.92119514 2.33094423 33 -1.45673699 -0.92119514 34 -1.63981399 -1.45673699 35 -1.03277025 -1.63981399 36 -0.84969566 -1.03277025 37 -0.02353881 -0.84969566 38 3.22720679 -0.02353881 39 -1.99580752 3.22720679 40 -0.76850526 -1.99580752 41 -1.80533705 -0.76850526 42 0.15624406 -1.80533705 43 -0.60095848 0.15624406 44 -1.49671209 -0.60095848 45 0.19941150 -1.49671209 46 6.88518414 0.19941150 47 -1.39496150 6.88518414 48 -1.75793701 -1.39496150 49 0.11638274 -1.75793701 50 0.01207596 0.11638274 51 -0.15096890 0.01207596 52 1.04963483 -0.15096890 53 1.72098974 1.04963483 54 -0.16308879 1.72098974 55 -0.20173387 -0.16308879 56 0.45405640 -0.20173387 57 -0.64165253 0.45405640 58 -1.20645227 -0.64165253 59 2.23841566 -1.20645227 60 -1.64054552 2.23841566 61 -1.34725243 -1.64054552 62 1.24826728 -1.34725243 63 0.42435815 1.24826728 64 0.16984288 0.42435815 65 0.57945254 0.16984288 66 -1.99196274 0.57945254 67 0.99284892 -1.99196274 68 -0.99812302 0.99284892 69 0.08646999 -0.99812302 70 -0.19095973 0.08646999 71 -0.55560341 -0.19095973 72 -1.71817390 -0.55560341 73 5.07468855 -1.71817390 74 -1.30451689 5.07468855 75 1.17007749 -1.30451689 76 -4.45049060 1.17007749 77 -1.20279417 -4.45049060 78 0.78287220 -1.20279417 79 0.90987092 0.78287220 80 1.00785377 0.90987092 81 -1.68495318 1.00785377 82 0.01993537 -1.68495318 83 0.92966230 0.01993537 84 -1.17760965 0.92966230 85 -0.42461172 -1.17760965 86 -1.16548416 -0.42461172 87 -1.21654569 -1.16548416 88 -0.28468129 -1.21654569 89 0.25320855 -0.28468129 90 0.16585961 0.25320855 91 1.02959910 0.16585961 92 -0.02980049 1.02959910 93 -1.43025319 -0.02980049 94 0.12816733 -1.43025319 95 0.60761262 0.12816733 96 -0.17365577 0.60761262 97 -0.52385925 -0.17365577 98 -1.43474882 -0.52385925 99 2.23898296 -1.43474882 100 -0.78023008 2.23898296 101 2.51972561 -0.78023008 102 -0.50432281 2.51972561 103 0.63004966 -0.50432281 104 -0.71768205 0.63004966 105 -0.05348342 -0.71768205 106 -1.68802741 -0.05348342 107 1.59232552 -1.68802741 108 -1.03739867 1.59232552 109 0.29973958 -1.03739867 110 0.61322655 0.29973958 111 0.75360393 0.61322655 112 -1.43866803 0.75360393 113 3.41084369 -1.43866803 114 -1.01787478 3.41084369 115 -1.03739867 -1.01787478 116 0.51179767 -1.03739867 117 2.62343205 0.51179767 118 -1.42846400 2.62343205 119 -1.59882562 -1.42846400 120 -0.76780121 -1.59882562 121 0.16783956 -0.76780121 122 -2.13805666 0.16783956 123 0.84256933 -2.13805666 124 -1.31260004 0.84256933 125 -1.06829812 -1.31260004 126 -0.43040507 -1.06829812 127 -0.32251722 -0.43040507 128 -1.74864107 -0.32251722 129 -1.04972070 -1.74864107 130 -1.00015411 -1.04972070 131 2.31481323 -1.00015411 132 -1.04626453 2.31481323 133 1.96777943 -1.04626453 134 -1.02544643 1.96777943 135 -0.59126266 -1.02544643 136 -1.03739867 -0.59126266 137 0.74321955 -1.03739867 138 2.02662134 0.74321955 139 -1.02270147 2.02662134 140 -0.06373546 -1.02270147 141 0.66841737 -0.06373546 142 -0.49409781 0.66841737 143 -1.58846563 -0.49409781 > 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/www/rcomp/tmp/7b8tt1324373371.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > acf(mysum$resid, lag.max=length(mysum$resid)/2, main='Residual Autocorrelation Function') > grid() > dev.off() null device 1 > postscript(file="/var/www/rcomp/tmp/8g6z51324373371.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > pacf(mysum$resid, lag.max=length(mysum$resid)/2, main='Residual Partial Autocorrelation Function') > grid() > dev.off() null device 1 > postscript(file="/var/www/rcomp/tmp/93v051324373371.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > opar <- par(mfrow = c(2,2), oma = c(0, 0, 1.1, 0)) > plot(mylm, las = 1, sub='Residual Diagnostics') > par(opar) > dev.off() null device 1 > if (n > n25) { + postscript(file="/var/www/rcomp/tmp/10q5sh1324373371.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) + plot(kp3:nmkm3,gqarr[,2], main='Goldfeld-Quandt test',ylab='2-sided p-value',xlab='breakpoint') + grid() + dev.off() + } null device 1 > > #Note: the /var/www/rcomp/createtable file can be downloaded at http://www.wessa.net/cretab > load(file="/var/www/rcomp/createtable") > > a<-table.start() > a<-table.row.start(a) > a<-table.element(a, 'Multiple Linear Regression - Estimated Regression Equation', 1, TRUE) > a<-table.row.end(a) > myeq <- colnames(x)[1] > myeq <- paste(myeq, '[t] = ', sep='') > for (i in 1:k){ + if (mysum$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/www/rcomp/tmp/11d9sm1324373371.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/www/rcomp/tmp/123gri1324373371.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/www/rcomp/tmp/13ihzo1324373371.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/www/rcomp/tmp/14wcf71324373371.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/www/rcomp/tmp/15l9111324373371.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/www/rcomp/tmp/16f17i1324373371.tab") + } > > try(system("convert tmp/1pwvu1324373371.ps tmp/1pwvu1324373371.png",intern=TRUE)) character(0) > try(system("convert tmp/22v4m1324373371.ps tmp/22v4m1324373371.png",intern=TRUE)) character(0) > try(system("convert tmp/3q8gb1324373371.ps tmp/3q8gb1324373371.png",intern=TRUE)) character(0) > try(system("convert tmp/48un41324373371.ps tmp/48un41324373371.png",intern=TRUE)) character(0) > try(system("convert tmp/5f1qg1324373371.ps tmp/5f1qg1324373371.png",intern=TRUE)) character(0) > try(system("convert tmp/66edr1324373371.ps tmp/66edr1324373371.png",intern=TRUE)) character(0) > try(system("convert tmp/7b8tt1324373371.ps tmp/7b8tt1324373371.png",intern=TRUE)) character(0) > try(system("convert tmp/8g6z51324373371.ps tmp/8g6z51324373371.png",intern=TRUE)) character(0) > try(system("convert tmp/93v051324373371.ps tmp/93v051324373371.png",intern=TRUE)) character(0) > try(system("convert tmp/10q5sh1324373371.ps tmp/10q5sh1324373371.png",intern=TRUE)) character(0) > > > proc.time() user system elapsed 5.780 0.430 6.215