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(252101 + ,62 + ,34 + ,104 + ,124252 + ,134577 + ,59 + ,30 + ,111 + ,98956 + ,198520 + ,62 + ,38 + ,93 + ,98073 + ,189326 + ,94 + ,34 + ,119 + ,106816 + ,137449 + ,43 + ,25 + ,57 + ,41449 + ,65295 + ,27 + ,31 + ,80 + ,76173 + ,439387 + ,103 + ,29 + ,107 + ,177551 + ,33186 + ,19 + ,18 + ,22 + ,22807 + ,178368 + ,51 + ,30 + ,103 + ,126938 + ,186657 + ,38 + ,29 + ,72 + ,61680 + ,261949 + ,96 + ,38 + ,123 + ,72117 + ,191051 + ,95 + ,49 + ,164 + ,79738 + ,138866 + ,57 + ,33 + ,100 + ,57793 + ,296878 + ,66 + ,46 + ,143 + ,91677 + ,192648 + ,72 + ,38 + ,79 + ,64631 + ,333462 + ,162 + ,52 + ,183 + ,106385 + ,243571 + ,58 + ,32 + ,123 + ,161961 + ,263451 + ,130 + ,35 + ,81 + ,112669 + ,155679 + ,48 + ,25 + ,74 + ,114029 + ,227053 + ,70 + ,42 + ,158 + ,124550 + ,240028 + ,63 + ,40 + ,133 + ,105416 + ,388549 + ,90 + ,35 + ,128 + ,72875 + ,156540 + ,34 + ,25 + ,84 + ,81964 + ,148421 + ,43 + ,46 + ,184 + ,104880 + ,177732 + ,97 + ,36 + ,127 + ,76302 + ,191441 + ,105 + ,35 + ,128 + ,96740 + ,249893 + ,122 + ,38 + ,118 + ,93071 + ,236812 + ,76 + ,35 + ,125 + ,78912 + ,142329 + ,45 + ,28 + ,89 + ,35224 + ,259667 + ,53 + ,37 + ,122 + ,90694 + ,231625 + ,65 + ,40 + ,151 + ,125369 + ,176062 + ,67 + ,42 + ,122 + ,80849 + ,286683 + ,79 + ,44 + ,162 + ,104434 + ,87485 + ,33 + ,33 + ,121 + ,65702 + ,322865 + ,83 + ,35 + ,132 + ,108179 + ,247082 + ,51 + ,37 + ,110 + ,63583 + ,346011 + ,106 + ,39 + ,135 + ,95066 + ,191653 + ,74 + ,32 + ,80 + ,62486 + ,114673 + ,31 + ,17 + ,46 + ,31081 + ,284224 + ,161 + ,34 + ,127 + ,94584 + ,284195 + ,72 + ,33 + ,103 + ,87408 + ,155363 + ,59 + ,35 + ,95 + ,68966 + ,177306 + ,67 + ,32 + ,100 + ,88766 + ,144571 + ,49 + ,35 + ,102 + ,57139 + ,140319 + ,73 + ,45 + ,45 + ,90586 + ,405267 + ,135 + ,38 + ,122 + ,109249 + ,78800 + ,42 + ,26 + ,66 + ,33032 + ,201970 + ,69 + ,45 + ,159 + ,96056 + ,302674 + ,99 + ,44 + ,153 + ,146648 + ,164733 + ,50 + ,40 + ,131 + ,80613 + ,194221 + ,68 + ,33 + ,113 + ,87026 + ,24188 + ,24 + ,4 + ,7 + ,5950 + ,342263 + ,279 + ,41 + ,147 + ,131106 + ,65029 + ,17 + ,18 + ,61 + ,32551 + ,101097 + ,64 + ,14 + ,41 + ,31701 + ,246088 + ,46 + ,33 + ,108 + ,91072 + ,273108 + ,75 + ,49 + ,184 + ,159803 + ,282220 + ,160 + ,32 + ,115 + ,143950 + ,273495 + ,119 + ,37 + ,132 + ,112368 + ,214872 + ,74 + ,32 + ,113 + ,82124 + ,335121 + ,124 + ,41 + ,141 + ,144068 + ,267171 + ,107 + ,25 + ,65 + ,162627 + ,187938 + ,88 + ,40 + ,87 + ,55062 + ,229512 + ,78 + ,35 + ,121 + ,95329 + ,209798 + ,61 + ,33 + ,112 + ,105612 + ,201345 + ,60 + ,28 + ,81 + ,62853 + ,163833 + ,114 + ,31 + ,116 + ,125976 + ,204250 + ,129 + ,40 + ,132 + ,79146 + ,197813 + ,67 + ,32 + ,104 + ,108461 + ,132955 + ,60 + ,25 + ,80 + ,99971 + ,216092 + ,59 + ,42 + ,145 + ,77826 + ,73566 + ,32 + ,23 + ,67 + ,22618 + ,213198 + ,67 + ,42 + ,159 + ,84892 + ,181713 + ,49 + ,38 + ,90 + ,92059 + ,148698 + ,49 + ,34 + ,120 + ,77993 + ,300103 + ,70 + ,38 + ,126 + ,104155 + ,251437 + ,78 + ,32 + ,118 + ,109840 + ,197295 + ,101 + ,37 + ,112 + ,238712 + ,158163 + ,55 + ,34 + ,123 + ,67486 + ,155529 + ,57 + ,33 + ,98 + ,68007 + ,132672 + ,41 + ,25 + ,78 + ,48194 + ,377205 + ,100 + ,40 + ,119 + ,134796 + ,145905 + ,66 + ,26 + ,99 + ,38692 + ,223701 + ,87 + ,40 + ,81 + ,93587 + ,80953 + ,25 + ,8 + ,27 + ,56622 + ,130805 + ,47 + ,27 + ,77 + ,15986 + ,135082 + ,48 + ,32 + ,118 + ,113402 + ,300805 + ,156 + ,33 + ,122 + ,97967 + ,271806 + ,95 + ,50 + ,103 + ,74844 + ,150949 + ,96 + ,37 + ,129 + ,136051 + ,225805 + ,79 + ,33 + ,69 + ,50548 + ,197389 + ,68 + ,34 + ,121 + ,112215 + ,156583 + ,56 + ,28 + ,81 + ,59591 + ,222599 + ,66 + ,32 + ,119 + ,59938 + ,261601 + ,70 + ,32 + ,116 + ,137639 + ,178489 + ,35 + ,32 + ,123 + ,143372 + ,200657 + ,43 + ,31 + ,111 + ,138599 + ,259084 + ,68 + ,35 + ,100 + ,174110 + ,313075 + ,130 + ,58 + ,221 + ,135062 + ,346933 + ,100 + ,27 + ,95 + ,175681 + ,246440 + ,104 + ,45 + ,153 + ,130307 + ,252444 + ,58 + ,37 + ,118 + ,139141 + ,159965 + ,159 + ,32 + ,50 + ,44244 + ,43287 + ,14 + ,19 + ,64 + ,43750 + ,172239 + ,68 + ,22 + ,34 + ,48029 + ,183738 + ,120 + ,35 + ,76 + ,95216 + ,227681 + ,43 + ,36 + ,112 + ,92288 + ,260464 + ,81 + ,36 + ,115 + ,94588 + ,106288 + ,54 + ,23 + ,69 + ,197426 + ,109632 + ,77 + ,36 + ,108 + ,151244 + ,268905 + ,58 + ,36 + ,130 + ,139206 + ,266805 + ,78 + ,42 + ,110 + ,106271 + ,23623 + ,11 + ,1 + ,0 + ,1168 + ,152474 + ,65 + ,32 + ,83 + ,71764 + ,61857 + ,25 + ,11 + ,30 + ,25162 + ,144889 + ,43 + ,40 + ,106 + ,45635 + ,346600 + ,99 + ,34 + ,91 + ,101817 + ,21054 + ,16 + ,0 + ,0 + ,855 + ,224051 + ,45 + ,27 + ,69 + ,100174 + ,31414 + ,19 + ,8 + ,9 + ,14116 + ,261043 + ,105 + ,35 + ,123 + ,85008 + ,197819 + ,57 + ,41 + ,143 + ,124254 + ,154984 + ,73 + ,40 + ,125 + ,105793 + ,112933 + ,45 + ,28 + ,81 + ,117129 + ,38214 + ,34 + ,8 + ,21 + ,8773 + ,158671 + ,33 + ,35 + ,124 + ,94747 + ,302148 + ,70 + ,47 + ,168 + ,107549 + ,177918 + ,55 + ,46 + ,149 + ,97392 + ,350552 + ,70 + ,42 + ,147 + ,126893 + ,275578 + ,91 + ,48 + ,145 + ,118850 + ,368746 + ,106 + ,49 + ,172 + ,234853 + ,172464 + ,31 + ,35 + ,126 + ,74783 + ,94381 + ,35 + ,32 + ,89 + ,66089 + ,243875 + ,279 + ,36 + ,137 + ,95684 + ,382487 + ,153 + ,42 + ,149 + ,139537 + ,114525 + ,40 + ,35 + ,121 + ,144253 + ,335681 + ,119 + ,37 + ,133 + ,153824 + ,147989 + ,72 + ,34 + ,93 + ,63995 + ,216638 + ,45 + ,36 + ,119 + ,84891 + ,192862 + ,72 + ,36 + ,102 + ,61263 + ,184818 + ,107 + ,32 + ,45 + ,106221 + ,336707 + ,105 + ,33 + ,104 + ,113587 + ,215836 + ,76 + ,35 + ,111 + ,113864 + ,173260 + ,63 + ,21 + ,78 + ,37238 + ,271773 + ,89 + ,40 + ,120 + ,119906 + ,130908 + ,52 + ,49 + ,176 + ,135096 + ,204009 + ,75 + ,33 + ,109 + ,151611 + ,245514 + ,92 + ,39 + ,132 + ,144645 + ,1 + ,0 + ,0 + ,0 + ,0 + ,14688 + ,10 + ,0 + ,0 + ,6023 + ,98 + ,1 + ,0 + ,0 + ,0 + ,455 + ,2 + ,0 + ,0 + ,0 + ,0 + ,0 + ,0 + ,0 + ,0 + ,0 + ,0 + ,0 + ,0 + ,0 + ,195765 + ,75 + ,33 + ,78 + ,77457 + ,326038 + ,121 + ,42 + ,104 + ,62464 + ,0 + ,0 + ,0 + ,0 + ,0 + ,203 + ,4 + ,0 + ,0 + ,0 + ,7199 + ,5 + ,0 + ,0 + ,1644 + ,46660 + ,20 + ,5 + ,13 + ,6179 + ,17547 + ,5 + ,1 + ,4 + ,3926 + ,107465 + ,38 + ,38 + ,65 + ,42087 + ,969 + ,2 + ,0 + ,0 + ,0 + ,173102 + ,58 + ,28 + ,55 + ,87656) + ,dim=c(5 + ,164) + ,dimnames=list(c('TimeRFC' + ,'Logins' + ,'reviews' + ,'Feedbackmessages' + ,'Characters') + ,1:164)) > y <- array(NA,dim=c(5,164),dimnames=list(c('TimeRFC','Logins','reviews','Feedbackmessages','Characters'),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 = '2' > 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 Logins TimeRFC reviews Feedbackmessages Characters 1 62 252101 34 104 124252 2 59 134577 30 111 98956 3 62 198520 38 93 98073 4 94 189326 34 119 106816 5 43 137449 25 57 41449 6 27 65295 31 80 76173 7 103 439387 29 107 177551 8 19 33186 18 22 22807 9 51 178368 30 103 126938 10 38 186657 29 72 61680 11 96 261949 38 123 72117 12 95 191051 49 164 79738 13 57 138866 33 100 57793 14 66 296878 46 143 91677 15 72 192648 38 79 64631 16 162 333462 52 183 106385 17 58 243571 32 123 161961 18 130 263451 35 81 112669 19 48 155679 25 74 114029 20 70 227053 42 158 124550 21 63 240028 40 133 105416 22 90 388549 35 128 72875 23 34 156540 25 84 81964 24 43 148421 46 184 104880 25 97 177732 36 127 76302 26 105 191441 35 128 96740 27 122 249893 38 118 93071 28 76 236812 35 125 78912 29 45 142329 28 89 35224 30 53 259667 37 122 90694 31 65 231625 40 151 125369 32 67 176062 42 122 80849 33 79 286683 44 162 104434 34 33 87485 33 121 65702 35 83 322865 35 132 108179 36 51 247082 37 110 63583 37 106 346011 39 135 95066 38 74 191653 32 80 62486 39 31 114673 17 46 31081 40 161 284224 34 127 94584 41 72 284195 33 103 87408 42 59 155363 35 95 68966 43 67 177306 32 100 88766 44 49 144571 35 102 57139 45 73 140319 45 45 90586 46 135 405267 38 122 109249 47 42 78800 26 66 33032 48 69 201970 45 159 96056 49 99 302674 44 153 146648 50 50 164733 40 131 80613 51 68 194221 33 113 87026 52 24 24188 4 7 5950 53 279 342263 41 147 131106 54 17 65029 18 61 32551 55 64 101097 14 41 31701 56 46 246088 33 108 91072 57 75 273108 49 184 159803 58 160 282220 32 115 143950 59 119 273495 37 132 112368 60 74 214872 32 113 82124 61 124 335121 41 141 144068 62 107 267171 25 65 162627 63 88 187938 40 87 55062 64 78 229512 35 121 95329 65 61 209798 33 112 105612 66 60 201345 28 81 62853 67 114 163833 31 116 125976 68 129 204250 40 132 79146 69 67 197813 32 104 108461 70 60 132955 25 80 99971 71 59 216092 42 145 77826 72 32 73566 23 67 22618 73 67 213198 42 159 84892 74 49 181713 38 90 92059 75 49 148698 34 120 77993 76 70 300103 38 126 104155 77 78 251437 32 118 109840 78 101 197295 37 112 238712 79 55 158163 34 123 67486 80 57 155529 33 98 68007 81 41 132672 25 78 48194 82 100 377205 40 119 134796 83 66 145905 26 99 38692 84 87 223701 40 81 93587 85 25 80953 8 27 56622 86 47 130805 27 77 15986 87 48 135082 32 118 113402 88 156 300805 33 122 97967 89 95 271806 50 103 74844 90 96 150949 37 129 136051 91 79 225805 33 69 50548 92 68 197389 34 121 112215 93 56 156583 28 81 59591 94 66 222599 32 119 59938 95 70 261601 32 116 137639 96 35 178489 32 123 143372 97 43 200657 31 111 138599 98 68 259084 35 100 174110 99 130 313075 58 221 135062 100 100 346933 27 95 175681 101 104 246440 45 153 130307 102 58 252444 37 118 139141 103 159 159965 32 50 44244 104 14 43287 19 64 43750 105 68 172239 22 34 48029 106 120 183738 35 76 95216 107 43 227681 36 112 92288 108 81 260464 36 115 94588 109 54 106288 23 69 197426 110 77 109632 36 108 151244 111 58 268905 36 130 139206 112 78 266805 42 110 106271 113 11 23623 1 0 1168 114 65 152474 32 83 71764 115 25 61857 11 30 25162 116 43 144889 40 106 45635 117 99 346600 34 91 101817 118 16 21054 0 0 855 119 45 224051 27 69 100174 120 19 31414 8 9 14116 121 105 261043 35 123 85008 122 57 197819 41 143 124254 123 73 154984 40 125 105793 124 45 112933 28 81 117129 125 34 38214 8 21 8773 126 33 158671 35 124 94747 127 70 302148 47 168 107549 128 55 177918 46 149 97392 129 70 350552 42 147 126893 130 91 275578 48 145 118850 131 106 368746 49 172 234853 132 31 172464 35 126 74783 133 35 94381 32 89 66089 134 279 243875 36 137 95684 135 153 382487 42 149 139537 136 40 114525 35 121 144253 137 119 335681 37 133 153824 138 72 147989 34 93 63995 139 45 216638 36 119 84891 140 72 192862 36 102 61263 141 107 184818 32 45 106221 142 105 336707 33 104 113587 143 76 215836 35 111 113864 144 63 173260 21 78 37238 145 89 271773 40 120 119906 146 52 130908 49 176 135096 147 75 204009 33 109 151611 148 92 245514 39 132 144645 149 0 1 0 0 0 150 10 14688 0 0 6023 151 1 98 0 0 0 152 2 455 0 0 0 153 0 0 0 0 0 154 0 0 0 0 0 155 75 195765 33 78 77457 156 121 326038 42 104 62464 157 0 0 0 0 0 158 4 203 0 0 0 159 5 7199 0 0 1644 160 20 46660 5 13 6179 161 5 17547 1 4 3926 162 38 107465 38 65 42087 163 2 969 0 0 0 164 58 173102 28 55 87656 > k <- length(x[1,]) > df <- as.data.frame(x) > (mylm <- lm(df)) Call: lm(formula = df) Coefficients: (Intercept) TimeRFC reviews Feedbackmessages 3.469e+00 2.732e-04 6.685e-01 -9.290e-02 Characters 2.047e-05 > (mysum <- summary(mylm)) Call: lm(formula = df) Residuals: Min 1Q Median 3Q Max -46.261 -14.785 -3.479 5.186 195.605 Coefficients: Estimate Std. Error t value Pr(>|t|) (Intercept) 3.469e+00 6.457e+00 0.537 0.592 TimeRFC 2.732e-04 3.985e-05 6.855 1.49e-10 *** reviews 6.685e-01 4.638e-01 1.441 0.151 Feedbackmessages -9.290e-02 1.289e-01 -0.720 0.472 Characters 2.047e-05 7.565e-05 0.271 0.787 --- Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 Residual standard error: 30.36 on 159 degrees of freedom Multiple R-squared: 0.5094, Adjusted R-squared: 0.4971 F-statistic: 41.28 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,] 0.103758709 2.075174e-01 8.962413e-01 [2,] 0.038707878 7.741576e-02 9.612921e-01 [3,] 0.043998516 8.799703e-02 9.560015e-01 [4,] 0.017388491 3.477698e-02 9.826115e-01 [5,] 0.006704348 1.340870e-02 9.932957e-01 [6,] 0.002572221 5.144443e-03 9.974278e-01 [7,] 0.007734899 1.546980e-02 9.922651e-01 [8,] 0.010044825 2.008965e-02 9.899552e-01 [9,] 0.032919417 6.583883e-02 9.670806e-01 [10,] 0.022630436 4.526087e-02 9.773696e-01 [11,] 0.149650501 2.993010e-01 8.503495e-01 [12,] 0.105681383 2.113628e-01 8.943186e-01 [13,] 0.084299911 1.685998e-01 9.157001e-01 [14,] 0.075549414 1.510988e-01 9.244506e-01 [15,] 0.059913110 1.198262e-01 9.400869e-01 [16,] 0.041842274 8.368455e-02 9.581577e-01 [17,] 0.039769337 7.953867e-02 9.602307e-01 [18,] 0.054087638 1.081753e-01 9.459124e-01 [19,] 0.080752723 1.615054e-01 9.192473e-01 [20,] 0.100902715 2.018054e-01 8.990973e-01 [21,] 0.073755148 1.475103e-01 9.262449e-01 [22,] 0.053232393 1.064648e-01 9.467676e-01 [23,] 0.061152263 1.223045e-01 9.388477e-01 [24,] 0.048539431 9.707886e-02 9.514606e-01 [25,] 0.035738168 7.147634e-02 9.642618e-01 [26,] 0.029038574 5.807715e-02 9.709614e-01 [27,] 0.020494847 4.098969e-02 9.795052e-01 [28,] 0.014751946 2.950389e-02 9.852481e-01 [29,] 0.016678627 3.335725e-02 9.833214e-01 [30,] 0.011667069 2.333414e-02 9.883329e-01 [31,] 0.008135982 1.627196e-02 9.918640e-01 [32,] 0.005506144 1.101229e-02 9.944939e-01 [33,] 0.058776813 1.175536e-01 9.412232e-01 [34,] 0.048515122 9.703024e-02 9.514849e-01 [35,] 0.035893939 7.178788e-02 9.641061e-01 [36,] 0.026538574 5.307715e-02 9.734614e-01 [37,] 0.019720309 3.944062e-02 9.802797e-01 [38,] 0.014010615 2.802123e-02 9.859894e-01 [39,] 0.010926737 2.185347e-02 9.890733e-01 [40,] 0.007821286 1.564257e-02 9.921787e-01 [41,] 0.005625623 1.125125e-02 9.943744e-01 [42,] 0.003820046 7.640091e-03 9.961800e-01 [43,] 0.002905240 5.810481e-03 9.970948e-01 [44,] 0.001929050 3.858100e-03 9.980709e-01 [45,] 0.001605762 3.211524e-03 9.983942e-01 [46,] 0.822941128 3.541177e-01 1.770589e-01 [47,] 0.791621543 4.167569e-01 2.083785e-01 [48,] 0.792411176 4.151776e-01 2.075888e-01 [49,] 0.807880687 3.842386e-01 1.921193e-01 [50,] 0.791957837 4.160843e-01 2.080422e-01 [51,] 0.891303444 2.173931e-01 1.086966e-01 [52,] 0.883921269 2.321575e-01 1.160787e-01 [53,] 0.859125371 2.817493e-01 1.408746e-01 [54,] 0.834859608 3.302808e-01 1.651404e-01 [55,] 0.812076085 3.758478e-01 1.879239e-01 [56,] 0.786103628 4.277927e-01 2.138964e-01 [57,] 0.750621813 4.987564e-01 2.493782e-01 [58,] 0.719799288 5.604014e-01 2.802007e-01 [59,] 0.683395656 6.332087e-01 3.166043e-01 [60,] 0.755115828 4.897683e-01 2.448842e-01 [61,] 0.822473021 3.550540e-01 1.775270e-01 [62,] 0.791873652 4.162527e-01 2.081263e-01 [63,] 0.759870323 4.802594e-01 2.401297e-01 [64,] 0.737551445 5.248971e-01 2.624486e-01 [65,] 0.699046554 6.019069e-01 3.009534e-01 [66,] 0.661942294 6.761154e-01 3.380577e-01 [67,] 0.644922926 7.101541e-01 3.550771e-01 [68,] 0.604430150 7.911397e-01 3.955699e-01 [69,] 0.604687234 7.906255e-01 3.953128e-01 [70,] 0.562491653 8.750167e-01 4.375083e-01 [71,] 0.541467511 9.170650e-01 4.585325e-01 [72,] 0.496706053 9.934121e-01 5.032939e-01 [73,] 0.451745624 9.034912e-01 5.482544e-01 [74,] 0.410328400 8.206568e-01 5.896716e-01 [75,] 0.395021819 7.900436e-01 6.049782e-01 [76,] 0.361324340 7.226487e-01 6.386757e-01 [77,] 0.320024226 6.400485e-01 6.799758e-01 [78,] 0.280783911 5.615678e-01 7.192161e-01 [79,] 0.244992447 4.899849e-01 7.550076e-01 [80,] 0.212358879 4.247178e-01 7.876411e-01 [81,] 0.309639083 6.192782e-01 6.903609e-01 [82,] 0.276983324 5.539666e-01 7.230167e-01 [83,] 0.289858051 5.797161e-01 7.101419e-01 [84,] 0.254576440 5.091529e-01 7.454236e-01 [85,] 0.220188258 4.403765e-01 7.798117e-01 [86,] 0.187955365 3.759107e-01 8.120446e-01 [87,] 0.160627136 3.212543e-01 8.393729e-01 [88,] 0.143385327 2.867707e-01 8.566147e-01 [89,] 0.141810325 2.836206e-01 8.581897e-01 [90,] 0.136766508 2.735330e-01 8.632335e-01 [91,] 0.126575047 2.531501e-01 8.734250e-01 [92,] 0.115317986 2.306360e-01 8.846820e-01 [93,] 0.096197254 1.923945e-01 9.038027e-01 [94,] 0.082490983 1.649820e-01 9.175090e-01 [95,] 0.081961879 1.639238e-01 9.180381e-01 [96,] 0.319334588 6.386692e-01 6.806654e-01 [97,] 0.280442212 5.608844e-01 7.195578e-01 [98,] 0.242921183 4.858424e-01 7.570788e-01 [99,] 0.303748275 6.074966e-01 6.962517e-01 [100,] 0.321725243 6.434505e-01 6.782748e-01 [101,] 0.282706783 5.654136e-01 7.172932e-01 [102,] 0.246868410 4.937368e-01 7.531316e-01 [103,] 0.246971415 4.939428e-01 7.530286e-01 [104,] 0.254063097 5.081262e-01 7.459369e-01 [105,] 0.226998318 4.539966e-01 7.730017e-01 [106,] 0.191950256 3.839005e-01 8.080497e-01 [107,] 0.161776777 3.235536e-01 8.382232e-01 [108,] 0.133191347 2.663827e-01 8.668087e-01 [109,] 0.114386544 2.287731e-01 8.856135e-01 [110,] 0.098874493 1.977490e-01 9.011255e-01 [111,] 0.079508567 1.590171e-01 9.204914e-01 [112,] 0.081964558 1.639291e-01 9.180354e-01 [113,] 0.064416055 1.288321e-01 9.355839e-01 [114,] 0.052162955 1.043259e-01 9.478370e-01 [115,] 0.042526466 8.505293e-02 9.574735e-01 [116,] 0.033678556 6.735711e-02 9.663214e-01 [117,] 0.025116502 5.023300e-02 9.748835e-01 [118,] 0.019911865 3.982373e-02 9.800881e-01 [119,] 0.017793479 3.558696e-02 9.822065e-01 [120,] 0.021064055 4.212811e-02 9.789359e-01 [121,] 0.016699722 3.339944e-02 9.833003e-01 [122,] 0.034851058 6.970212e-02 9.651489e-01 [123,] 0.027657397 5.531479e-02 9.723426e-01 [124,] 0.025077224 5.015445e-02 9.749228e-01 [125,] 0.034680459 6.936092e-02 9.653195e-01 [126,] 0.025669143 5.133829e-02 9.743309e-01 [127,] 0.999999980 4.049435e-08 2.024717e-08 [128,] 0.999999994 1.106357e-08 5.531787e-09 [129,] 0.999999985 2.976443e-08 1.488222e-08 [130,] 0.999999959 8.112626e-08 4.056313e-08 [131,] 0.999999967 6.638590e-08 3.319295e-08 [132,] 0.999999998 4.780140e-09 2.390070e-09 [133,] 0.999999991 1.714046e-08 8.570232e-09 [134,] 1.000000000 3.447550e-13 1.723775e-13 [135,] 1.000000000 2.333575e-14 1.166787e-14 [136,] 1.000000000 1.897301e-13 9.486505e-14 [137,] 1.000000000 1.439529e-12 7.197647e-13 [138,] 1.000000000 8.229507e-15 4.114754e-15 [139,] 1.000000000 9.313654e-14 4.656827e-14 [140,] 1.000000000 1.444307e-12 7.221533e-13 [141,] 1.000000000 8.583983e-12 4.291992e-12 [142,] 1.000000000 1.030772e-10 5.153859e-11 [143,] 1.000000000 1.465128e-10 7.325641e-11 [144,] 0.999999999 2.741648e-09 1.370824e-09 [145,] 0.999999976 4.706640e-08 2.353320e-08 [146,] 0.999999677 6.455126e-07 3.227563e-07 [147,] 0.999995947 8.105855e-06 4.052928e-06 [148,] 0.999977659 4.468269e-05 2.234135e-05 [149,] 0.999641245 7.175091e-04 3.587546e-04 > postscript(file="/var/wessaorg/rcomp/tmp/1kilh1323436071.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/2sigk1323436071.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > plot(mysum$resid, type='b', pch=19, main='Residuals', ylab='value of Residuals', xlab='time or index') > grid() > dev.off() null device 1 > postscript(file="/var/wessaorg/rcomp/tmp/30qmr1323436071.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > hist(mysum$resid, main='Residual Histogram', xlab='values of Residuals') > grid() > dev.off() null device 1 > postscript(file="/var/wessaorg/rcomp/tmp/4ayqk1323436071.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > densityplot(~mysum$resid,col='black',main='Residual Density Plot', xlab='values of Residuals') > dev.off() null device 1 > postscript(file="/var/wessaorg/rcomp/tmp/5cht91323436071.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > qqnorm(mysum$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 -25.955724755 6.995246628 -14.476551000 24.945603998 -10.286516182 6 7 8 9 10 -9.158003680 -33.594675614 -3.991229212 -14.284999304 -30.425230629 11 12 13 14 15 5.512158527 20.182227703 1.638793877 -37.920948491 -3.488270104 16 17 18 19 20 47.488000598 -25.295134915 36.375278043 -10.173626540 -11.449484893 21 22 23 24 25 -22.588309678 -32.622199824 -22.823488439 -16.822027985 31.144142722 26 27 28 29 30 35.741655854 33.912577376 -5.568024294 -8.524956142 -36.669089936 31 32 33 34 35 -17.028759949 -2.967908201 -19.294684657 -6.534284876 -22.027592834 36 37 38 39 40 -35.790531953 -7.478072321 2.931125103 -11.525830013 67.011867078 41 42 43 44 45 -23.394443005 -2.898518692 1.170933349 -9.057610917 3.439586738 46 47 48 49 50 4.502879303 5.077062899 -6.925684445 -5.363854444 -14.694844356 51 52 53 54 55 -1.875603543 11.777109298 165.586057412 -11.267523649 26.711485402 56 57 58 59 60 -38.593638659 -22.017742294 65.770968913 26.038247193 -0.748913738 61 62 63 64 65 11.714609105 16.534449378 13.400722841 -2.281231185 -13.604795949 66 67 68 69 70 -10.957637149 53.245072641 53.631544569 -4.463401645 8.880023279 71 72 73 74 75 -19.706039337 -1.181495192 -9.759414195 -23.040257342 -8.271401445 76 77 78 79 80 -31.289122728 -6.841788840 24.412755713 -4.363578613 -3.308629323 81 82 83 84 85 -9.168565235 -24.968796642 13.692951982 1.283807568 -4.584912150 86 87 88 89 90 -3.428982644 -5.125057673 57.616438615 -8.116188631 35.755856106 91 92 93 94 95 -2.845605271 -3.182029246 -2.661322789 -9.848476663 -18.373574014 96 97 98 99 100 -30.133393121 -28.538599889 -23.924230803 19.990393483 -11.074681877 101 102 103 104 105 14.666028691 -31.058998122 94.175122608 -8.946341967 4.942409257 106 107 108 109 110 48.046641547 -38.223279904 -8.948390561 8.485869052 26.450743661 111 112 113 114 115 -33.774431279 -18.395223341 0.384438063 4.724094257 -0.450321572 116 117 118 119 120 -17.879688393 -15.522478135 6.761185070 -33.371509365 2.147686595 121 122 123 124 125 16.501176643 -17.181363781 9.895866249 -2.913415442 16.514006559 126 127 128 129 130 -27.635969008 -34.031655806 -15.979174967 -46.260816779 -8.808875566 131 132 133 134 135 -19.798333261 -32.809921778 -8.730603781 195.605283176 27.941112581 136 137 138 139 140 -9.866828847 8.292533813 12.700566569 -32.404479237 -0.004194531 141 142 143 144 145 33.651786006 -5.184373287 -1.853187190 4.640383442 -6.765748698 146 147 148 149 150 -6.404352611 0.756519750 4.685373983 -3.469368977 2.394665625 151 152 153 154 155 -2.495870594 -1.593407475 -3.469095764 -3.469095764 1.646958628 156 157 158 159 160 8.760924111 -3.469095764 0.475442088 -0.469606105 1.521728621 161 162 163 164 -3.640382094 -15.054313960 -1.733838726 -8.164403753 > postscript(file="/var/wessaorg/rcomp/tmp/6ngns1323436071.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 -25.955724755 NA 1 6.995246628 -25.955724755 2 -14.476551000 6.995246628 3 24.945603998 -14.476551000 4 -10.286516182 24.945603998 5 -9.158003680 -10.286516182 6 -33.594675614 -9.158003680 7 -3.991229212 -33.594675614 8 -14.284999304 -3.991229212 9 -30.425230629 -14.284999304 10 5.512158527 -30.425230629 11 20.182227703 5.512158527 12 1.638793877 20.182227703 13 -37.920948491 1.638793877 14 -3.488270104 -37.920948491 15 47.488000598 -3.488270104 16 -25.295134915 47.488000598 17 36.375278043 -25.295134915 18 -10.173626540 36.375278043 19 -11.449484893 -10.173626540 20 -22.588309678 -11.449484893 21 -32.622199824 -22.588309678 22 -22.823488439 -32.622199824 23 -16.822027985 -22.823488439 24 31.144142722 -16.822027985 25 35.741655854 31.144142722 26 33.912577376 35.741655854 27 -5.568024294 33.912577376 28 -8.524956142 -5.568024294 29 -36.669089936 -8.524956142 30 -17.028759949 -36.669089936 31 -2.967908201 -17.028759949 32 -19.294684657 -2.967908201 33 -6.534284876 -19.294684657 34 -22.027592834 -6.534284876 35 -35.790531953 -22.027592834 36 -7.478072321 -35.790531953 37 2.931125103 -7.478072321 38 -11.525830013 2.931125103 39 67.011867078 -11.525830013 40 -23.394443005 67.011867078 41 -2.898518692 -23.394443005 42 1.170933349 -2.898518692 43 -9.057610917 1.170933349 44 3.439586738 -9.057610917 45 4.502879303 3.439586738 46 5.077062899 4.502879303 47 -6.925684445 5.077062899 48 -5.363854444 -6.925684445 49 -14.694844356 -5.363854444 50 -1.875603543 -14.694844356 51 11.777109298 -1.875603543 52 165.586057412 11.777109298 53 -11.267523649 165.586057412 54 26.711485402 -11.267523649 55 -38.593638659 26.711485402 56 -22.017742294 -38.593638659 57 65.770968913 -22.017742294 58 26.038247193 65.770968913 59 -0.748913738 26.038247193 60 11.714609105 -0.748913738 61 16.534449378 11.714609105 62 13.400722841 16.534449378 63 -2.281231185 13.400722841 64 -13.604795949 -2.281231185 65 -10.957637149 -13.604795949 66 53.245072641 -10.957637149 67 53.631544569 53.245072641 68 -4.463401645 53.631544569 69 8.880023279 -4.463401645 70 -19.706039337 8.880023279 71 -1.181495192 -19.706039337 72 -9.759414195 -1.181495192 73 -23.040257342 -9.759414195 74 -8.271401445 -23.040257342 75 -31.289122728 -8.271401445 76 -6.841788840 -31.289122728 77 24.412755713 -6.841788840 78 -4.363578613 24.412755713 79 -3.308629323 -4.363578613 80 -9.168565235 -3.308629323 81 -24.968796642 -9.168565235 82 13.692951982 -24.968796642 83 1.283807568 13.692951982 84 -4.584912150 1.283807568 85 -3.428982644 -4.584912150 86 -5.125057673 -3.428982644 87 57.616438615 -5.125057673 88 -8.116188631 57.616438615 89 35.755856106 -8.116188631 90 -2.845605271 35.755856106 91 -3.182029246 -2.845605271 92 -2.661322789 -3.182029246 93 -9.848476663 -2.661322789 94 -18.373574014 -9.848476663 95 -30.133393121 -18.373574014 96 -28.538599889 -30.133393121 97 -23.924230803 -28.538599889 98 19.990393483 -23.924230803 99 -11.074681877 19.990393483 100 14.666028691 -11.074681877 101 -31.058998122 14.666028691 102 94.175122608 -31.058998122 103 -8.946341967 94.175122608 104 4.942409257 -8.946341967 105 48.046641547 4.942409257 106 -38.223279904 48.046641547 107 -8.948390561 -38.223279904 108 8.485869052 -8.948390561 109 26.450743661 8.485869052 110 -33.774431279 26.450743661 111 -18.395223341 -33.774431279 112 0.384438063 -18.395223341 113 4.724094257 0.384438063 114 -0.450321572 4.724094257 115 -17.879688393 -0.450321572 116 -15.522478135 -17.879688393 117 6.761185070 -15.522478135 118 -33.371509365 6.761185070 119 2.147686595 -33.371509365 120 16.501176643 2.147686595 121 -17.181363781 16.501176643 122 9.895866249 -17.181363781 123 -2.913415442 9.895866249 124 16.514006559 -2.913415442 125 -27.635969008 16.514006559 126 -34.031655806 -27.635969008 127 -15.979174967 -34.031655806 128 -46.260816779 -15.979174967 129 -8.808875566 -46.260816779 130 -19.798333261 -8.808875566 131 -32.809921778 -19.798333261 132 -8.730603781 -32.809921778 133 195.605283176 -8.730603781 134 27.941112581 195.605283176 135 -9.866828847 27.941112581 136 8.292533813 -9.866828847 137 12.700566569 8.292533813 138 -32.404479237 12.700566569 139 -0.004194531 -32.404479237 140 33.651786006 -0.004194531 141 -5.184373287 33.651786006 142 -1.853187190 -5.184373287 143 4.640383442 -1.853187190 144 -6.765748698 4.640383442 145 -6.404352611 -6.765748698 146 0.756519750 -6.404352611 147 4.685373983 0.756519750 148 -3.469368977 4.685373983 149 2.394665625 -3.469368977 150 -2.495870594 2.394665625 151 -1.593407475 -2.495870594 152 -3.469095764 -1.593407475 153 -3.469095764 -3.469095764 154 1.646958628 -3.469095764 155 8.760924111 1.646958628 156 -3.469095764 8.760924111 157 0.475442088 -3.469095764 158 -0.469606105 0.475442088 159 1.521728621 -0.469606105 160 -3.640382094 1.521728621 161 -15.054313960 -3.640382094 162 -1.733838726 -15.054313960 163 -8.164403753 -1.733838726 164 NA -8.164403753 > dum1 <- dum[2:length(myerror),] > dum1 lag(myerror, k = 1) myerror [1,] 6.995246628 -25.955724755 [2,] -14.476551000 6.995246628 [3,] 24.945603998 -14.476551000 [4,] -10.286516182 24.945603998 [5,] -9.158003680 -10.286516182 [6,] -33.594675614 -9.158003680 [7,] -3.991229212 -33.594675614 [8,] -14.284999304 -3.991229212 [9,] -30.425230629 -14.284999304 [10,] 5.512158527 -30.425230629 [11,] 20.182227703 5.512158527 [12,] 1.638793877 20.182227703 [13,] -37.920948491 1.638793877 [14,] -3.488270104 -37.920948491 [15,] 47.488000598 -3.488270104 [16,] -25.295134915 47.488000598 [17,] 36.375278043 -25.295134915 [18,] -10.173626540 36.375278043 [19,] -11.449484893 -10.173626540 [20,] -22.588309678 -11.449484893 [21,] -32.622199824 -22.588309678 [22,] -22.823488439 -32.622199824 [23,] -16.822027985 -22.823488439 [24,] 31.144142722 -16.822027985 [25,] 35.741655854 31.144142722 [26,] 33.912577376 35.741655854 [27,] -5.568024294 33.912577376 [28,] -8.524956142 -5.568024294 [29,] -36.669089936 -8.524956142 [30,] -17.028759949 -36.669089936 [31,] -2.967908201 -17.028759949 [32,] -19.294684657 -2.967908201 [33,] -6.534284876 -19.294684657 [34,] -22.027592834 -6.534284876 [35,] -35.790531953 -22.027592834 [36,] -7.478072321 -35.790531953 [37,] 2.931125103 -7.478072321 [38,] -11.525830013 2.931125103 [39,] 67.011867078 -11.525830013 [40,] -23.394443005 67.011867078 [41,] -2.898518692 -23.394443005 [42,] 1.170933349 -2.898518692 [43,] -9.057610917 1.170933349 [44,] 3.439586738 -9.057610917 [45,] 4.502879303 3.439586738 [46,] 5.077062899 4.502879303 [47,] -6.925684445 5.077062899 [48,] -5.363854444 -6.925684445 [49,] -14.694844356 -5.363854444 [50,] -1.875603543 -14.694844356 [51,] 11.777109298 -1.875603543 [52,] 165.586057412 11.777109298 [53,] -11.267523649 165.586057412 [54,] 26.711485402 -11.267523649 [55,] -38.593638659 26.711485402 [56,] -22.017742294 -38.593638659 [57,] 65.770968913 -22.017742294 [58,] 26.038247193 65.770968913 [59,] -0.748913738 26.038247193 [60,] 11.714609105 -0.748913738 [61,] 16.534449378 11.714609105 [62,] 13.400722841 16.534449378 [63,] -2.281231185 13.400722841 [64,] -13.604795949 -2.281231185 [65,] -10.957637149 -13.604795949 [66,] 53.245072641 -10.957637149 [67,] 53.631544569 53.245072641 [68,] -4.463401645 53.631544569 [69,] 8.880023279 -4.463401645 [70,] -19.706039337 8.880023279 [71,] -1.181495192 -19.706039337 [72,] -9.759414195 -1.181495192 [73,] -23.040257342 -9.759414195 [74,] -8.271401445 -23.040257342 [75,] -31.289122728 -8.271401445 [76,] -6.841788840 -31.289122728 [77,] 24.412755713 -6.841788840 [78,] -4.363578613 24.412755713 [79,] -3.308629323 -4.363578613 [80,] -9.168565235 -3.308629323 [81,] -24.968796642 -9.168565235 [82,] 13.692951982 -24.968796642 [83,] 1.283807568 13.692951982 [84,] -4.584912150 1.283807568 [85,] -3.428982644 -4.584912150 [86,] -5.125057673 -3.428982644 [87,] 57.616438615 -5.125057673 [88,] -8.116188631 57.616438615 [89,] 35.755856106 -8.116188631 [90,] -2.845605271 35.755856106 [91,] -3.182029246 -2.845605271 [92,] -2.661322789 -3.182029246 [93,] -9.848476663 -2.661322789 [94,] -18.373574014 -9.848476663 [95,] -30.133393121 -18.373574014 [96,] -28.538599889 -30.133393121 [97,] -23.924230803 -28.538599889 [98,] 19.990393483 -23.924230803 [99,] -11.074681877 19.990393483 [100,] 14.666028691 -11.074681877 [101,] -31.058998122 14.666028691 [102,] 94.175122608 -31.058998122 [103,] -8.946341967 94.175122608 [104,] 4.942409257 -8.946341967 [105,] 48.046641547 4.942409257 [106,] -38.223279904 48.046641547 [107,] -8.948390561 -38.223279904 [108,] 8.485869052 -8.948390561 [109,] 26.450743661 8.485869052 [110,] -33.774431279 26.450743661 [111,] -18.395223341 -33.774431279 [112,] 0.384438063 -18.395223341 [113,] 4.724094257 0.384438063 [114,] -0.450321572 4.724094257 [115,] -17.879688393 -0.450321572 [116,] -15.522478135 -17.879688393 [117,] 6.761185070 -15.522478135 [118,] -33.371509365 6.761185070 [119,] 2.147686595 -33.371509365 [120,] 16.501176643 2.147686595 [121,] -17.181363781 16.501176643 [122,] 9.895866249 -17.181363781 [123,] -2.913415442 9.895866249 [124,] 16.514006559 -2.913415442 [125,] -27.635969008 16.514006559 [126,] -34.031655806 -27.635969008 [127,] -15.979174967 -34.031655806 [128,] -46.260816779 -15.979174967 [129,] -8.808875566 -46.260816779 [130,] -19.798333261 -8.808875566 [131,] -32.809921778 -19.798333261 [132,] -8.730603781 -32.809921778 [133,] 195.605283176 -8.730603781 [134,] 27.941112581 195.605283176 [135,] -9.866828847 27.941112581 [136,] 8.292533813 -9.866828847 [137,] 12.700566569 8.292533813 [138,] -32.404479237 12.700566569 [139,] -0.004194531 -32.404479237 [140,] 33.651786006 -0.004194531 [141,] -5.184373287 33.651786006 [142,] -1.853187190 -5.184373287 [143,] 4.640383442 -1.853187190 [144,] -6.765748698 4.640383442 [145,] -6.404352611 -6.765748698 [146,] 0.756519750 -6.404352611 [147,] 4.685373983 0.756519750 [148,] -3.469368977 4.685373983 [149,] 2.394665625 -3.469368977 [150,] -2.495870594 2.394665625 [151,] -1.593407475 -2.495870594 [152,] -3.469095764 -1.593407475 [153,] -3.469095764 -3.469095764 [154,] 1.646958628 -3.469095764 [155,] 8.760924111 1.646958628 [156,] -3.469095764 8.760924111 [157,] 0.475442088 -3.469095764 [158,] -0.469606105 0.475442088 [159,] 1.521728621 -0.469606105 [160,] -3.640382094 1.521728621 [161,] -15.054313960 -3.640382094 [162,] -1.733838726 -15.054313960 [163,] -8.164403753 -1.733838726 > z <- as.data.frame(dum1) > z lag(myerror, k = 1) myerror 1 6.995246628 -25.955724755 2 -14.476551000 6.995246628 3 24.945603998 -14.476551000 4 -10.286516182 24.945603998 5 -9.158003680 -10.286516182 6 -33.594675614 -9.158003680 7 -3.991229212 -33.594675614 8 -14.284999304 -3.991229212 9 -30.425230629 -14.284999304 10 5.512158527 -30.425230629 11 20.182227703 5.512158527 12 1.638793877 20.182227703 13 -37.920948491 1.638793877 14 -3.488270104 -37.920948491 15 47.488000598 -3.488270104 16 -25.295134915 47.488000598 17 36.375278043 -25.295134915 18 -10.173626540 36.375278043 19 -11.449484893 -10.173626540 20 -22.588309678 -11.449484893 21 -32.622199824 -22.588309678 22 -22.823488439 -32.622199824 23 -16.822027985 -22.823488439 24 31.144142722 -16.822027985 25 35.741655854 31.144142722 26 33.912577376 35.741655854 27 -5.568024294 33.912577376 28 -8.524956142 -5.568024294 29 -36.669089936 -8.524956142 30 -17.028759949 -36.669089936 31 -2.967908201 -17.028759949 32 -19.294684657 -2.967908201 33 -6.534284876 -19.294684657 34 -22.027592834 -6.534284876 35 -35.790531953 -22.027592834 36 -7.478072321 -35.790531953 37 2.931125103 -7.478072321 38 -11.525830013 2.931125103 39 67.011867078 -11.525830013 40 -23.394443005 67.011867078 41 -2.898518692 -23.394443005 42 1.170933349 -2.898518692 43 -9.057610917 1.170933349 44 3.439586738 -9.057610917 45 4.502879303 3.439586738 46 5.077062899 4.502879303 47 -6.925684445 5.077062899 48 -5.363854444 -6.925684445 49 -14.694844356 -5.363854444 50 -1.875603543 -14.694844356 51 11.777109298 -1.875603543 52 165.586057412 11.777109298 53 -11.267523649 165.586057412 54 26.711485402 -11.267523649 55 -38.593638659 26.711485402 56 -22.017742294 -38.593638659 57 65.770968913 -22.017742294 58 26.038247193 65.770968913 59 -0.748913738 26.038247193 60 11.714609105 -0.748913738 61 16.534449378 11.714609105 62 13.400722841 16.534449378 63 -2.281231185 13.400722841 64 -13.604795949 -2.281231185 65 -10.957637149 -13.604795949 66 53.245072641 -10.957637149 67 53.631544569 53.245072641 68 -4.463401645 53.631544569 69 8.880023279 -4.463401645 70 -19.706039337 8.880023279 71 -1.181495192 -19.706039337 72 -9.759414195 -1.181495192 73 -23.040257342 -9.759414195 74 -8.271401445 -23.040257342 75 -31.289122728 -8.271401445 76 -6.841788840 -31.289122728 77 24.412755713 -6.841788840 78 -4.363578613 24.412755713 79 -3.308629323 -4.363578613 80 -9.168565235 -3.308629323 81 -24.968796642 -9.168565235 82 13.692951982 -24.968796642 83 1.283807568 13.692951982 84 -4.584912150 1.283807568 85 -3.428982644 -4.584912150 86 -5.125057673 -3.428982644 87 57.616438615 -5.125057673 88 -8.116188631 57.616438615 89 35.755856106 -8.116188631 90 -2.845605271 35.755856106 91 -3.182029246 -2.845605271 92 -2.661322789 -3.182029246 93 -9.848476663 -2.661322789 94 -18.373574014 -9.848476663 95 -30.133393121 -18.373574014 96 -28.538599889 -30.133393121 97 -23.924230803 -28.538599889 98 19.990393483 -23.924230803 99 -11.074681877 19.990393483 100 14.666028691 -11.074681877 101 -31.058998122 14.666028691 102 94.175122608 -31.058998122 103 -8.946341967 94.175122608 104 4.942409257 -8.946341967 105 48.046641547 4.942409257 106 -38.223279904 48.046641547 107 -8.948390561 -38.223279904 108 8.485869052 -8.948390561 109 26.450743661 8.485869052 110 -33.774431279 26.450743661 111 -18.395223341 -33.774431279 112 0.384438063 -18.395223341 113 4.724094257 0.384438063 114 -0.450321572 4.724094257 115 -17.879688393 -0.450321572 116 -15.522478135 -17.879688393 117 6.761185070 -15.522478135 118 -33.371509365 6.761185070 119 2.147686595 -33.371509365 120 16.501176643 2.147686595 121 -17.181363781 16.501176643 122 9.895866249 -17.181363781 123 -2.913415442 9.895866249 124 16.514006559 -2.913415442 125 -27.635969008 16.514006559 126 -34.031655806 -27.635969008 127 -15.979174967 -34.031655806 128 -46.260816779 -15.979174967 129 -8.808875566 -46.260816779 130 -19.798333261 -8.808875566 131 -32.809921778 -19.798333261 132 -8.730603781 -32.809921778 133 195.605283176 -8.730603781 134 27.941112581 195.605283176 135 -9.866828847 27.941112581 136 8.292533813 -9.866828847 137 12.700566569 8.292533813 138 -32.404479237 12.700566569 139 -0.004194531 -32.404479237 140 33.651786006 -0.004194531 141 -5.184373287 33.651786006 142 -1.853187190 -5.184373287 143 4.640383442 -1.853187190 144 -6.765748698 4.640383442 145 -6.404352611 -6.765748698 146 0.756519750 -6.404352611 147 4.685373983 0.756519750 148 -3.469368977 4.685373983 149 2.394665625 -3.469368977 150 -2.495870594 2.394665625 151 -1.593407475 -2.495870594 152 -3.469095764 -1.593407475 153 -3.469095764 -3.469095764 154 1.646958628 -3.469095764 155 8.760924111 1.646958628 156 -3.469095764 8.760924111 157 0.475442088 -3.469095764 158 -0.469606105 0.475442088 159 1.521728621 -0.469606105 160 -3.640382094 1.521728621 161 -15.054313960 -3.640382094 162 -1.733838726 -15.054313960 163 -8.164403753 -1.733838726 > 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/79p3n1323436071.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/8ugze1323436071.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/9ykwr1323436071.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/103cb41323436071.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$coefficients)[i] != 't') myeq <- paste(myeq, '[t]', sep='') + } + } > myeq <- paste(myeq, ' + e[t]') > a<-table.row.start(a) > a<-table.element(a, myeq) > a<-table.row.end(a) > a<-table.end(a) > table.save(a,file="/var/wessaorg/rcomp/tmp/113yvd1323436071.tab") > a<-table.start() > a<-table.row.start(a) > a<-table.element(a,hyperlink('http://www.xycoon.com/ols1.htm','Multiple Linear Regression - Ordinary Least Squares',''), 6, TRUE) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a,'Variable',header=TRUE) > a<-table.element(a,'Parameter',header=TRUE) > a<-table.element(a,'S.D.',header=TRUE) > a<-table.element(a,'T-STAT
H0: parameter = 0',header=TRUE) > a<-table.element(a,'2-tail p-value',header=TRUE) > a<-table.element(a,'1-tail p-value',header=TRUE) > a<-table.row.end(a) > for (i in 1:k){ + a<-table.row.start(a) + a<-table.element(a,rownames(mysum$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$coefficients[i,4]/2,6)) + a<-table.row.end(a) + } > a<-table.end(a) > table.save(a,file="/var/wessaorg/rcomp/tmp/12xmya1323436071.tab") > a<-table.start() > a<-table.row.start(a) > a<-table.element(a, 'Multiple Linear Regression - Regression Statistics', 2, TRUE) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'Multiple R',1,TRUE) > a<-table.element(a, sqrt(mysum$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$sigma) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'Sum Squared Residuals',1,TRUE) > a<-table.element(a, sum(myerror*myerror)) > a<-table.row.end(a) > a<-table.end(a) > table.save(a,file="/var/wessaorg/rcomp/tmp/133rjq1323436072.tab") > a<-table.start() > a<-table.row.start(a) > a<-table.element(a, 'Multiple Linear Regression - Actuals, Interpolation, and Residuals', 4, TRUE) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'Time or Index', 1, TRUE) > a<-table.element(a, 'Actuals', 1, TRUE) > a<-table.element(a, 'Interpolation
Forecast', 1, TRUE) > a<-table.element(a, 'Residuals
Prediction Error', 1, TRUE) > a<-table.row.end(a) > for (i in 1:n) { + a<-table.row.start(a) + a<-table.element(a,i, 1, TRUE) + a<-table.element(a,x[i]) + a<-table.element(a,x[i]-mysum$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/1487ih1323436072.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/15wl4r1323436072.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/1613501323436072.tab") + } > > try(system("convert tmp/1kilh1323436071.ps tmp/1kilh1323436071.png",intern=TRUE)) character(0) > try(system("convert tmp/2sigk1323436071.ps tmp/2sigk1323436071.png",intern=TRUE)) character(0) > try(system("convert tmp/30qmr1323436071.ps tmp/30qmr1323436071.png",intern=TRUE)) character(0) > try(system("convert tmp/4ayqk1323436071.ps tmp/4ayqk1323436071.png",intern=TRUE)) character(0) > try(system("convert tmp/5cht91323436071.ps tmp/5cht91323436071.png",intern=TRUE)) character(0) > try(system("convert tmp/6ngns1323436071.ps tmp/6ngns1323436071.png",intern=TRUE)) character(0) > try(system("convert tmp/79p3n1323436071.ps tmp/79p3n1323436071.png",intern=TRUE)) character(0) > try(system("convert tmp/8ugze1323436071.ps tmp/8ugze1323436071.png",intern=TRUE)) character(0) > try(system("convert tmp/9ykwr1323436071.ps tmp/9ykwr1323436071.png",intern=TRUE)) character(0) > try(system("convert tmp/103cb41323436071.ps tmp/103cb41323436071.png",intern=TRUE)) character(0) > > > proc.time() user system elapsed 5.214 0.543 5.786