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(7 + ,41 + ,38 + ,13 + ,12 + ,14 + ,12 + ,53 + ,32 + ,5 + ,39 + ,32 + ,16 + ,11 + ,18 + ,11 + ,86 + ,51 + ,5 + ,30 + ,35 + ,19 + ,15 + ,11 + ,14 + ,66 + ,42 + ,5 + ,31 + ,33 + ,15 + ,6 + ,12 + ,12 + ,67 + ,41 + ,8 + ,34 + ,37 + ,14 + ,13 + ,16 + ,21 + ,76 + ,46 + ,6 + ,35 + ,29 + ,13 + ,10 + ,18 + ,12 + ,78 + ,47 + ,5 + ,39 + ,31 + ,19 + ,12 + ,14 + ,22 + ,53 + ,37 + ,6 + ,34 + ,36 + ,15 + ,14 + ,14 + ,11 + ,80 + ,49 + ,5 + ,36 + ,35 + ,14 + ,12 + ,15 + ,10 + ,74 + ,45 + ,4 + ,37 + ,38 + ,15 + ,6 + ,15 + ,13 + ,76 + ,47 + ,6 + ,38 + ,31 + ,16 + ,10 + ,17 + ,10 + ,79 + ,49 + ,5 + ,36 + ,34 + ,16 + ,12 + ,19 + ,8 + ,54 + ,33 + ,5 + ,38 + ,35 + ,16 + ,12 + ,10 + ,15 + ,67 + ,42 + ,6 + ,39 + ,38 + ,16 + ,11 + ,16 + ,14 + ,54 + ,33 + ,7 + ,33 + ,37 + ,17 + ,15 + ,18 + ,10 + ,87 + ,53 + ,6 + ,32 + ,33 + ,15 + ,12 + ,14 + ,14 + ,58 + ,36 + ,7 + ,36 + ,32 + ,15 + ,10 + ,14 + ,14 + ,75 + ,45 + ,6 + ,38 + ,38 + ,20 + ,12 + ,17 + ,11 + ,88 + ,54 + ,8 + ,39 + 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+ ,37 + ,15 + ,13 + ,13 + ,17 + ,79 + ,47 + ,10 + ,34 + ,38 + ,16 + ,9 + ,16 + ,9 + ,71 + ,41 + ,6 + ,35 + ,39 + ,16 + ,6 + ,12 + ,12 + ,72 + ,44 + ,8 + ,35 + ,34 + ,14 + ,8 + ,9 + ,19 + ,69 + ,43 + ,4 + ,33 + ,31 + ,10 + ,8 + ,13 + ,18 + ,78 + ,51 + ,5 + ,36 + ,32 + ,17 + ,15 + ,13 + ,15 + ,54 + ,33 + ,6 + ,32 + ,37 + ,13 + ,6 + ,14 + ,14 + ,69 + ,43 + ,7 + ,33 + ,36 + ,15 + ,9 + ,19 + ,11 + ,81 + ,53 + ,7 + ,34 + ,32 + ,16 + ,11 + ,13 + ,9 + ,84 + ,51 + ,6 + ,32 + ,35 + ,12 + ,8 + ,12 + ,18 + ,84 + ,50 + ,6 + ,34 + ,36 + ,13 + ,8 + ,13 + ,16 + ,69 + ,46) + ,dim=c(9 + ,162) + ,dimnames=list(c('Age' + ,'connected' + ,'separated' + ,'learning' + ,'software' + ,'hapiness' + ,'depression' + ,'belonging' + ,'belonging_final') + ,1:162)) > y <- array(NA,dim=c(9,162),dimnames=list(c('Age','connected','separated','learning','software','hapiness','depression','belonging','belonging_final'),1:162)) > 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 = '9' > #'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 belonging_final Age connected separated learning software hapiness 1 32 7 41 38 13 12 14 2 51 5 39 32 16 11 18 3 42 5 30 35 19 15 11 4 41 5 31 33 15 6 12 5 46 8 34 37 14 13 16 6 47 6 35 29 13 10 18 7 37 5 39 31 19 12 14 8 49 6 34 36 15 14 14 9 45 5 36 35 14 12 15 10 47 4 37 38 15 6 15 11 49 6 38 31 16 10 17 12 33 5 36 34 16 12 19 13 42 5 38 35 16 12 10 14 33 6 39 38 16 11 16 15 53 7 33 37 17 15 18 16 36 6 32 33 15 12 14 17 45 7 36 32 15 10 14 18 54 6 38 38 20 12 17 19 41 8 39 38 18 11 14 20 36 7 32 32 16 12 16 21 41 5 32 33 16 11 18 22 44 5 31 31 16 12 11 23 33 7 39 38 19 13 14 24 37 7 37 39 16 11 12 25 52 5 39 32 17 9 17 26 47 4 41 32 17 13 9 27 43 10 36 35 16 10 16 28 44 6 33 37 15 14 14 29 45 5 33 33 16 12 15 30 44 5 34 33 14 10 11 31 49 5 31 28 15 12 16 32 33 5 27 32 12 8 13 33 43 6 37 31 14 10 17 34 54 5 34 37 16 12 15 35 42 5 34 30 14 12 14 36 44 5 32 33 7 7 16 37 37 5 29 31 10 6 9 38 43 5 36 33 14 12 15 39 46 5 29 31 16 10 17 40 42 5 35 33 16 10 13 41 45 5 37 32 16 10 15 42 44 7 34 33 14 12 16 43 33 5 38 32 20 15 16 44 31 6 35 33 14 10 12 45 42 7 38 28 14 10 12 46 40 7 37 35 11 12 11 47 43 5 38 39 14 13 15 48 46 5 33 34 15 11 15 49 42 4 36 38 16 11 17 50 45 5 38 32 14 12 13 51 44 4 32 38 16 14 16 52 40 5 32 30 14 10 14 53 37 5 32 33 12 12 11 54 46 7 34 38 16 13 12 55 36 5 32 32 9 5 12 56 47 5 37 32 14 6 15 57 45 6 39 34 16 12 16 58 42 4 29 34 16 12 15 59 43 6 37 36 15 11 12 60 43 6 35 34 16 10 12 61 32 5 30 28 12 7 8 62 45 7 38 34 16 12 13 63 45 6 34 35 16 14 11 64 31 8 31 35 14 11 14 65 33 7 34 31 16 12 15 66 49 5 35 37 17 13 10 67 42 6 36 35 18 14 11 68 41 6 30 27 18 11 12 69 38 5 39 40 12 12 15 70 42 5 35 37 16 12 15 71 44 5 38 36 10 8 14 72 33 5 31 38 14 11 16 73 48 4 34 39 18 14 15 74 40 6 38 41 18 14 15 75 50 6 34 27 16 12 13 76 49 6 39 30 17 9 12 77 43 6 37 37 16 13 17 78 44 7 34 31 16 11 13 79 47 5 28 31 13 12 15 80 33 7 37 27 16 12 13 81 46 6 33 36 16 12 15 82 0 5 37 38 20 12 16 83 45 5 35 37 16 12 15 84 43 4 37 33 15 12 16 85 44 8 32 34 15 11 15 86 47 8 33 31 16 10 14 87 45 5 38 39 14 9 15 88 42 5 33 34 16 12 14 89 33 6 29 32 16 12 13 90 43 4 33 33 15 12 7 91 46 5 31 36 12 9 17 92 33 5 36 32 17 15 13 93 46 5 35 41 16 12 15 94 48 5 32 28 15 12 14 95 47 6 29 30 13 12 13 96 47 6 39 36 16 10 16 97 43 5 37 35 16 13 12 98 46 6 35 31 16 9 14 99 48 5 37 34 16 12 17 100 46 7 32 36 14 10 15 101 45 5 38 36 16 14 17 102 45 6 37 35 16 11 12 103 52 6 36 37 20 15 16 104 42 6 32 28 15 11 11 105 47 4 33 39 16 11 15 106 41 5 40 32 13 12 9 107 47 5 38 35 17 12 16 108 43 7 41 39 16 12 15 109 33 6 36 35 16 11 10 110 30 9 43 42 12 7 10 111 49 6 30 34 16 12 15 112 44 6 31 33 16 14 11 113 55 5 32 41 17 11 13 114 11 6 32 33 13 11 14 115 47 5 37 34 12 10 18 116 53 8 37 32 18 13 16 117 33 7 33 40 14 13 14 118 44 5 34 40 14 8 14 119 42 7 33 35 13 11 14 120 55 6 38 36 16 12 14 121 33 6 33 37 13 11 12 122 46 9 31 27 16 13 14 123 54 7 38 39 13 12 15 124 47 6 37 38 16 14 15 125 45 5 33 31 15 13 15 126 47 5 31 33 16 15 13 127 55 6 39 32 15 10 17 128 44 6 44 39 17 11 17 129 53 7 33 36 15 9 19 130 44 5 35 33 12 11 15 131 42 5 32 33 16 10 13 132 40 5 28 32 10 11 9 133 46 6 40 37 16 8 15 134 40 4 27 30 12 11 15 135 46 5 37 38 14 12 15 136 53 7 32 29 15 12 16 137 33 5 28 22 13 9 11 138 42 7 34 35 15 11 14 139 35 7 30 35 11 10 11 140 40 6 35 34 12 8 15 141 41 5 31 35 8 9 13 142 33 8 32 34 16 8 15 143 51 5 30 34 15 9 16 144 53 5 30 35 17 15 14 145 46 5 31 23 16 11 15 146 55 6 40 31 10 8 16 147 47 4 32 27 18 13 16 148 38 5 36 36 13 12 11 149 46 5 32 31 16 12 12 150 46 7 35 32 13 9 9 151 53 6 38 39 10 7 16 152 47 7 42 37 15 13 13 153 41 10 34 38 16 9 16 154 44 6 35 39 16 6 12 155 43 8 35 34 14 8 9 156 51 4 33 31 10 8 13 157 33 5 36 32 17 15 13 158 43 6 32 37 13 6 14 159 53 7 33 36 15 9 19 160 51 7 34 32 16 11 13 161 50 6 32 35 12 8 12 162 46 6 34 36 13 8 13 depression belonging 1 12 53 2 11 86 3 14 66 4 12 67 5 21 76 6 12 78 7 22 53 8 11 80 9 10 74 10 13 76 11 10 79 12 8 54 13 15 67 14 14 54 15 10 87 16 14 58 17 14 75 18 11 88 19 10 64 20 13 57 21 7 66 22 14 68 23 12 54 24 14 56 25 11 86 26 9 80 27 11 76 28 15 69 29 14 78 30 13 67 31 9 80 32 15 54 33 10 71 34 11 84 35 13 74 36 8 71 37 20 63 38 12 71 39 10 76 40 10 69 41 9 74 42 14 75 43 8 54 44 14 52 45 11 69 46 13 68 47 9 65 48 11 75 49 15 74 50 11 75 51 10 72 52 14 67 53 18 63 54 14 62 55 11 63 56 12 76 57 13 74 58 9 67 59 10 73 60 15 70 61 20 53 62 12 77 63 12 77 64 14 52 65 13 54 66 11 80 67 17 66 68 12 73 69 13 63 70 14 69 71 13 67 72 15 54 73 13 81 74 10 69 75 11 84 76 19 80 77 13 70 78 17 69 79 13 77 80 9 54 81 11 79 82 10 30 83 9 71 84 12 73 85 12 72 86 13 77 87 13 75 88 12 69 89 15 54 90 22 70 91 13 73 92 15 54 93 13 77 94 15 82 95 10 80 96 11 80 97 16 69 98 11 78 99 11 81 100 10 76 101 10 76 102 16 73 103 12 85 104 11 66 105 16 79 106 19 68 107 11 76 108 16 71 109 15 54 110 24 46 111 14 82 112 15 74 113 11 88 114 15 38 115 12 76 116 10 86 117 14 54 118 13 70 119 9 69 120 15 90 121 15 54 122 14 76 123 11 89 124 8 76 125 11 73 126 11 79 127 8 90 128 10 74 129 11 81 130 13 72 131 11 71 132 20 66 133 10 77 134 15 65 135 12 74 136 14 82 137 23 54 138 14 63 139 16 54 140 11 64 141 12 69 142 10 54 143 14 84 144 12 86 145 12 77 146 11 89 147 12 76 148 13 60 149 11 75 150 19 73 151 12 85 152 17 79 153 9 71 154 12 72 155 19 69 156 18 78 157 15 54 158 14 69 159 11 81 160 9 84 161 18 84 162 16 69 > k <- length(x[1,]) > df <- as.data.frame(x) > (mylm <- lm(df)) Call: lm(formula = df) Coefficients: (Intercept) Age connected separated learning software -4.623723 0.126387 -0.019123 0.053933 -0.088890 -0.002139 hapiness depression belonging -0.058027 0.099707 0.659910 > (mysum <- summary(mylm)) Call: lm(formula = df) Residuals: Min 1Q Median 3Q Max -15.4126 -1.0306 0.0717 1.0628 8.1758 Coefficients: Estimate Std. Error t value Pr(>|t|) (Intercept) -4.623723 3.354589 -1.378 0.170 Age 0.126387 0.161702 0.782 0.436 connected -0.019123 0.060509 -0.316 0.752 separated 0.053933 0.056350 0.957 0.340 learning -0.088890 0.101541 -0.875 0.383 software -0.002139 0.103282 -0.021 0.984 hapiness -0.058027 0.096267 -0.603 0.548 depression 0.099707 0.070880 1.407 0.162 belonging 0.659910 0.018189 36.281 <2e-16 *** --- Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 Residual standard error: 2.329 on 153 degrees of freedom Multiple R-squared: 0.9031, Adjusted R-squared: 0.8981 F-statistic: 178.3 on 8 and 153 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,] 0.1416618775 2.833238e-01 8.583381e-01 [2,] 0.0677061008 1.354122e-01 9.322939e-01 [3,] 0.0330534570 6.610691e-02 9.669465e-01 [4,] 0.0166376547 3.327531e-02 9.833623e-01 [5,] 0.0061416267 1.228325e-02 9.938584e-01 [6,] 0.0032496119 6.499224e-03 9.967504e-01 [7,] 0.0011569791 2.313958e-03 9.988430e-01 [8,] 0.0011278697 2.255739e-03 9.988721e-01 [9,] 0.0004322836 8.645671e-04 9.995677e-01 [10,] 0.0002062778 4.125556e-04 9.997937e-01 [11,] 0.0001440619 2.881237e-04 9.998559e-01 [12,] 0.0002376426 4.752851e-04 9.997624e-01 [13,] 0.0004568841 9.137682e-04 9.995431e-01 [14,] 0.0002132408 4.264816e-04 9.997868e-01 [15,] 0.0003014119 6.028237e-04 9.996986e-01 [16,] 0.0008643325 1.728665e-03 9.991357e-01 [17,] 0.0005426171 1.085234e-03 9.994574e-01 [18,] 0.0031203630 6.240726e-03 9.968796e-01 [19,] 0.0057040801 1.140816e-02 9.942959e-01 [20,] 0.0035168600 7.033720e-03 9.964831e-01 [21,] 0.0030808155 6.161631e-03 9.969192e-01 [22,] 0.0018051791 3.610358e-03 9.981948e-01 [23,] 0.0033466123 6.693225e-03 9.966534e-01 [24,] 0.0075726082 1.514522e-02 9.924274e-01 [25,] 0.0080233665 1.604673e-02 9.919766e-01 [26,] 0.0087941777 1.758836e-02 9.912058e-01 [27,] 0.0057083731 1.141675e-02 9.942916e-01 [28,] 0.0037434040 7.486808e-03 9.962566e-01 [29,] 0.0024113602 4.822720e-03 9.975886e-01 [30,] 0.0014794374 2.958875e-03 9.985206e-01 [31,] 0.0011224154 2.244831e-03 9.988776e-01 [32,] 0.0010699906 2.139981e-03 9.989300e-01 [33,] 0.0008018722 1.603744e-03 9.991981e-01 [34,] 0.0006436822 1.287364e-03 9.993563e-01 [35,] 0.0004517065 9.034130e-04 9.995483e-01 [36,] 0.0008322497 1.664499e-03 9.991678e-01 [37,] 0.0005067556 1.013511e-03 9.994932e-01 [38,] 0.0027772863 5.554573e-03 9.972227e-01 [39,] 0.0018148866 3.629773e-03 9.981851e-01 [40,] 0.0013051945 2.610389e-03 9.986948e-01 [41,] 0.0008823609 1.764722e-03 9.991176e-01 [42,] 0.0007843972 1.568794e-03 9.992156e-01 [43,] 0.0608096878 1.216194e-01 9.391903e-01 [44,] 0.0590417492 1.180835e-01 9.409583e-01 [45,] 0.0516228284 1.032457e-01 9.483772e-01 [46,] 0.0393823585 7.876472e-02 9.606176e-01 [47,] 0.0350560612 7.011212e-02 9.649439e-01 [48,] 0.0324508222 6.490164e-02 9.675492e-01 [49,] 0.0244584063 4.891681e-02 9.755416e-01 [50,] 0.0183233416 3.664668e-02 9.816767e-01 [51,] 0.0172735509 3.454710e-02 9.827264e-01 [52,] 0.0182892834 3.657857e-02 9.817107e-01 [53,] 0.0153902105 3.078042e-02 9.846098e-01 [54,] 0.0123968857 2.479377e-02 9.876031e-01 [55,] 0.0090697268 1.813945e-02 9.909303e-01 [56,] 0.0078098581 1.561972e-02 9.921901e-01 [57,] 0.0107005234 2.140105e-02 9.892995e-01 [58,] 0.0085775823 1.715516e-02 9.914224e-01 [59,] 0.0066137372 1.322747e-02 9.933863e-01 [60,] 0.0105506651 2.110133e-02 9.894493e-01 [61,] 0.0095336723 1.906734e-02 9.904663e-01 [62,] 0.0091560875 1.831217e-02 9.908439e-01 [63,] 0.0113393651 2.267873e-02 9.886606e-01 [64,] 0.0090228337 1.804567e-02 9.909772e-01 [65,] 0.0067811588 1.356232e-02 9.932188e-01 [66,] 0.0050923215 1.018464e-02 9.949077e-01 [67,] 0.0048963584 9.792717e-03 9.951036e-01 [68,] 0.0036109201 7.221840e-03 9.963891e-01 [69,] 0.0032140384 6.428077e-03 9.967860e-01 [70,] 0.0031330339 6.266068e-03 9.968670e-01 [71,] 0.9976733482 4.653304e-03 2.326652e-03 [72,] 0.9976606395 4.678721e-03 2.339360e-03 [73,] 0.9968840116 6.231977e-03 3.115988e-03 [74,] 0.9955390845 8.921831e-03 4.460915e-03 [75,] 0.9937400660 1.251987e-02 6.259934e-03 [76,] 0.9918808281 1.623834e-02 8.119172e-03 [77,] 0.9888483527 2.230329e-02 1.115165e-02 [78,] 0.9853039496 2.939210e-02 1.469605e-02 [79,] 0.9807762611 3.844748e-02 1.922374e-02 [80,] 0.9761985437 4.760291e-02 2.380146e-02 [81,] 0.9714664260 5.706715e-02 2.853357e-02 [82,] 0.9652515068 6.949699e-02 3.474849e-02 [83,] 0.9659492462 6.810151e-02 3.405075e-02 [84,] 0.9633962057 7.320759e-02 3.660379e-02 [85,] 0.9605452679 7.890946e-02 3.945473e-02 [86,] 0.9513599720 9.728006e-02 4.864003e-02 [87,] 0.9462554821 1.074890e-01 5.374452e-02 [88,] 0.9369543450 1.260913e-01 6.304566e-02 [89,] 0.9214566409 1.570867e-01 7.854336e-02 [90,] 0.9043805793 1.912388e-01 9.561942e-02 [91,] 0.8812357340 2.375285e-01 1.187643e-01 [92,] 0.8543365378 2.913269e-01 1.456635e-01 [93,] 0.8543970911 2.912058e-01 1.456029e-01 [94,] 0.8502281986 2.995436e-01 1.497718e-01 [95,] 0.8232743261 3.534513e-01 1.767257e-01 [96,] 0.7930181359 4.139637e-01 2.069819e-01 [97,] 0.7590517415 4.818965e-01 2.409483e-01 [98,] 0.7248450384 5.503099e-01 2.751550e-01 [99,] 0.6993315844 6.013368e-01 3.006684e-01 [100,] 0.6880384063 6.239232e-01 3.119616e-01 [101,] 0.6573709894 6.852580e-01 3.426290e-01 [102,] 0.6111765840 7.776468e-01 3.888234e-01 [103,] 0.9999751992 4.960151e-05 2.480076e-05 [104,] 0.9999590111 8.197775e-05 4.098888e-05 [105,] 0.9999291998 1.416003e-04 7.080017e-05 [106,] 0.9998915612 2.168776e-04 1.084388e-04 [107,] 0.9998117026 3.765948e-04 1.882974e-04 [108,] 0.9996650205 6.699590e-04 3.349795e-04 [109,] 0.9994370021 1.125996e-03 5.629979e-04 [110,] 0.9991025758 1.794848e-03 8.974242e-04 [111,] 0.9985781312 2.843738e-03 1.421869e-03 [112,] 0.9978820396 4.235921e-03 2.117960e-03 [113,] 0.9968390068 6.321986e-03 3.160993e-03 [114,] 0.9949867972 1.002641e-02 5.013203e-03 [115,] 0.9926400892 1.471982e-02 7.359911e-03 [116,] 0.9885005677 2.299886e-02 1.149943e-02 [117,] 0.9873361887 2.532762e-02 1.266381e-02 [118,] 0.9877406755 2.451865e-02 1.225932e-02 [119,] 0.9824344433 3.513111e-02 1.756556e-02 [120,] 0.9761886815 4.762264e-02 2.381132e-02 [121,] 0.9692890181 6.142196e-02 3.071098e-02 [122,] 0.9605649158 7.887017e-02 3.943508e-02 [123,] 0.9488984317 1.022031e-01 5.110157e-02 [124,] 0.9263963561 1.472073e-01 7.360364e-02 [125,] 0.9395948045 1.208104e-01 6.040520e-02 [126,] 0.9359810895 1.280378e-01 6.401891e-02 [127,] 0.9558580783 8.828384e-02 4.414192e-02 [128,] 0.9445297341 1.109405e-01 5.547027e-02 [129,] 0.9150447638 1.699105e-01 8.495524e-02 [130,] 0.9330143027 1.339714e-01 6.698570e-02 [131,] 0.8975738768 2.048522e-01 1.024261e-01 [132,] 0.8795693971 2.408612e-01 1.204306e-01 [133,] 0.8224143121 3.551714e-01 1.775857e-01 [134,] 0.8162409710 3.675181e-01 1.837590e-01 [135,] 0.7810160636 4.379679e-01 2.189839e-01 [136,] 0.7458158460 5.083683e-01 2.541842e-01 [137,] 0.8045494415 3.909011e-01 1.954506e-01 [138,] 0.7168310665 5.663379e-01 2.831689e-01 [139,] 0.5564759441 8.870481e-01 4.435241e-01 > postscript(file="/var/wessaorg/rcomp/tmp/1pahq1321534609.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$resid) > grid() > dev.off() null device 1 > postscript(file="/var/wessaorg/rcomp/tmp/2sf5n1321534609.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > plot(mysum$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/3pxra1321534609.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > hist(mysum$resid, main='Residual Histogram', xlab='values of Residuals') > grid() > dev.off() null device 1 > postscript(file="/var/wessaorg/rcomp/tmp/4bye51321534609.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > densityplot(~mysum$resid,col='black',main='Residual Density Plot', xlab='values of Residuals') > dev.off() null device 1 > postscript(file="/var/wessaorg/rcomp/tmp/53fbg1321534609.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 = 162 Frequency = 1 1 2 3 4 5 0.295503886 -1.347066107 2.087152571 0.436856564 -1.779023371 6 7 8 9 10 -0.477379489 5.423835875 -0.139917530 0.102675028 0.543499247 11 12 13 14 15 1.220268811 1.964114954 1.149404858 0.904905702 -0.446998637 16 17 18 19 20 1.198263329 -1.020452944 0.163677629 2.513580059 2.090369961 21 22 23 24 25 2.062172090 2.729098606 1.132825894 3.134410848 -0.320482343 26 27 28 29 30 -1.452633229 -3.717259466 1.647213937 -2.707515849 3.256160103 31 32 33 34 35 0.671751693 0.489648499 0.302648631 2.435533332 -3.023053196 36 37 38 39 40 0.738293713 -2.270064778 -0.009141311 0.154279708 0.548415785 41 42 43 44 45 0.556803815 -2.081188509 2.298123129 0.005871239 0.287161926 46 47 48 49 50 -1.969411449 3.966228263 0.426372410 -3.139574779 -0.572951312 51 52 53 54 55 0.550677675 -0.545912532 -1.814477851 8.175791839 -2.286218158 56 57 58 59 60 0.751526167 0.024277085 2.045992145 -1.485942486 0.151625988 61 62 63 64 65 -0.368148089 -2.175338608 -2.291151686 -0.313066931 1.104252677 66 67 68 69 70 -0.104808576 1.685354782 -3.067151226 -0.327506099 0.054191405 71 72 73 74 75 2.985096560 0.600822573 -1.583568909 -1.649673525 -1.267579110 76 77 78 79 80 -0.467329221 0.524040234 1.688578449 -0.202317737 1.660125030 81 82 83 84 85 -2.356492297 -15.412581250 2.232903304 -1.036535001 -0.091887255 86 87 88 89 90 -0.281500408 -1.040258711 0.319129940 0.765624631 -0.652604878 91 92 93 94 95 1.245774044 1.121180934 -1.341116032 -2.343239091 -2.052314459 96 97 98 99 100 -1.847916449 0.828948388 -1.453117130 -1.249513947 -0.604623483 101 102 103 104 105 -0.934719707 0.058641186 0.007780262 2.311544039 -1.766188862 106 107 108 109 110 -1.033983326 1.046090431 -0.710943979 0.561466308 0.956442919 111 112 113 114 115 -1.584845982 -1.560043541 0.512610764 -10.883156169 0.648519972 116 117 118 119 120 0.401237718 0.266360077 1.068701356 0.042733621 -0.976743719 121 122 123 124 125 0.245616290 -0.663779700 -1.414835394 0.895263351 0.912270603 126 127 128 129 130 -1.216188387 0.036968784 -0.705875349 3.334100158 0.032199783 131 132 133 134 135 -0.928480340 -1.312154175 -0.865594946 0.587360526 0.760586404 136 137 138 139 140 2.565814655 0.225423358 3.700565560 1.832073322 1.324156889 141 142 143 144 145 -1.548612924 1.068382606 -0.815560729 0.084661114 -0.349249279 146 147 148 149 150 -0.035939616 1.480525212 1.667368773 0.485996065 0.311657640 151 152 153 154 155 0.032146613 -2.165748661 -2.420479051 -0.147297409 -0.196203587 156 157 158 159 160 2.469959989 1.121180934 0.532901984 3.334100158 -0.466356985 161 162 -2.857377862 3.371919740 > postscript(file="/var/wessaorg/rcomp/tmp/6lz331321534609.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 = 162 Frequency = 1 lag(myerror, k = 1) myerror 0 0.295503886 NA 1 -1.347066107 0.295503886 2 2.087152571 -1.347066107 3 0.436856564 2.087152571 4 -1.779023371 0.436856564 5 -0.477379489 -1.779023371 6 5.423835875 -0.477379489 7 -0.139917530 5.423835875 8 0.102675028 -0.139917530 9 0.543499247 0.102675028 10 1.220268811 0.543499247 11 1.964114954 1.220268811 12 1.149404858 1.964114954 13 0.904905702 1.149404858 14 -0.446998637 0.904905702 15 1.198263329 -0.446998637 16 -1.020452944 1.198263329 17 0.163677629 -1.020452944 18 2.513580059 0.163677629 19 2.090369961 2.513580059 20 2.062172090 2.090369961 21 2.729098606 2.062172090 22 1.132825894 2.729098606 23 3.134410848 1.132825894 24 -0.320482343 3.134410848 25 -1.452633229 -0.320482343 26 -3.717259466 -1.452633229 27 1.647213937 -3.717259466 28 -2.707515849 1.647213937 29 3.256160103 -2.707515849 30 0.671751693 3.256160103 31 0.489648499 0.671751693 32 0.302648631 0.489648499 33 2.435533332 0.302648631 34 -3.023053196 2.435533332 35 0.738293713 -3.023053196 36 -2.270064778 0.738293713 37 -0.009141311 -2.270064778 38 0.154279708 -0.009141311 39 0.548415785 0.154279708 40 0.556803815 0.548415785 41 -2.081188509 0.556803815 42 2.298123129 -2.081188509 43 0.005871239 2.298123129 44 0.287161926 0.005871239 45 -1.969411449 0.287161926 46 3.966228263 -1.969411449 47 0.426372410 3.966228263 48 -3.139574779 0.426372410 49 -0.572951312 -3.139574779 50 0.550677675 -0.572951312 51 -0.545912532 0.550677675 52 -1.814477851 -0.545912532 53 8.175791839 -1.814477851 54 -2.286218158 8.175791839 55 0.751526167 -2.286218158 56 0.024277085 0.751526167 57 2.045992145 0.024277085 58 -1.485942486 2.045992145 59 0.151625988 -1.485942486 60 -0.368148089 0.151625988 61 -2.175338608 -0.368148089 62 -2.291151686 -2.175338608 63 -0.313066931 -2.291151686 64 1.104252677 -0.313066931 65 -0.104808576 1.104252677 66 1.685354782 -0.104808576 67 -3.067151226 1.685354782 68 -0.327506099 -3.067151226 69 0.054191405 -0.327506099 70 2.985096560 0.054191405 71 0.600822573 2.985096560 72 -1.583568909 0.600822573 73 -1.649673525 -1.583568909 74 -1.267579110 -1.649673525 75 -0.467329221 -1.267579110 76 0.524040234 -0.467329221 77 1.688578449 0.524040234 78 -0.202317737 1.688578449 79 1.660125030 -0.202317737 80 -2.356492297 1.660125030 81 -15.412581250 -2.356492297 82 2.232903304 -15.412581250 83 -1.036535001 2.232903304 84 -0.091887255 -1.036535001 85 -0.281500408 -0.091887255 86 -1.040258711 -0.281500408 87 0.319129940 -1.040258711 88 0.765624631 0.319129940 89 -0.652604878 0.765624631 90 1.245774044 -0.652604878 91 1.121180934 1.245774044 92 -1.341116032 1.121180934 93 -2.343239091 -1.341116032 94 -2.052314459 -2.343239091 95 -1.847916449 -2.052314459 96 0.828948388 -1.847916449 97 -1.453117130 0.828948388 98 -1.249513947 -1.453117130 99 -0.604623483 -1.249513947 100 -0.934719707 -0.604623483 101 0.058641186 -0.934719707 102 0.007780262 0.058641186 103 2.311544039 0.007780262 104 -1.766188862 2.311544039 105 -1.033983326 -1.766188862 106 1.046090431 -1.033983326 107 -0.710943979 1.046090431 108 0.561466308 -0.710943979 109 0.956442919 0.561466308 110 -1.584845982 0.956442919 111 -1.560043541 -1.584845982 112 0.512610764 -1.560043541 113 -10.883156169 0.512610764 114 0.648519972 -10.883156169 115 0.401237718 0.648519972 116 0.266360077 0.401237718 117 1.068701356 0.266360077 118 0.042733621 1.068701356 119 -0.976743719 0.042733621 120 0.245616290 -0.976743719 121 -0.663779700 0.245616290 122 -1.414835394 -0.663779700 123 0.895263351 -1.414835394 124 0.912270603 0.895263351 125 -1.216188387 0.912270603 126 0.036968784 -1.216188387 127 -0.705875349 0.036968784 128 3.334100158 -0.705875349 129 0.032199783 3.334100158 130 -0.928480340 0.032199783 131 -1.312154175 -0.928480340 132 -0.865594946 -1.312154175 133 0.587360526 -0.865594946 134 0.760586404 0.587360526 135 2.565814655 0.760586404 136 0.225423358 2.565814655 137 3.700565560 0.225423358 138 1.832073322 3.700565560 139 1.324156889 1.832073322 140 -1.548612924 1.324156889 141 1.068382606 -1.548612924 142 -0.815560729 1.068382606 143 0.084661114 -0.815560729 144 -0.349249279 0.084661114 145 -0.035939616 -0.349249279 146 1.480525212 -0.035939616 147 1.667368773 1.480525212 148 0.485996065 1.667368773 149 0.311657640 0.485996065 150 0.032146613 0.311657640 151 -2.165748661 0.032146613 152 -2.420479051 -2.165748661 153 -0.147297409 -2.420479051 154 -0.196203587 -0.147297409 155 2.469959989 -0.196203587 156 1.121180934 2.469959989 157 0.532901984 1.121180934 158 3.334100158 0.532901984 159 -0.466356985 3.334100158 160 -2.857377862 -0.466356985 161 3.371919740 -2.857377862 162 NA 3.371919740 > dum1 <- dum[2:length(myerror),] > dum1 lag(myerror, k = 1) myerror [1,] -1.347066107 0.295503886 [2,] 2.087152571 -1.347066107 [3,] 0.436856564 2.087152571 [4,] -1.779023371 0.436856564 [5,] -0.477379489 -1.779023371 [6,] 5.423835875 -0.477379489 [7,] -0.139917530 5.423835875 [8,] 0.102675028 -0.139917530 [9,] 0.543499247 0.102675028 [10,] 1.220268811 0.543499247 [11,] 1.964114954 1.220268811 [12,] 1.149404858 1.964114954 [13,] 0.904905702 1.149404858 [14,] -0.446998637 0.904905702 [15,] 1.198263329 -0.446998637 [16,] -1.020452944 1.198263329 [17,] 0.163677629 -1.020452944 [18,] 2.513580059 0.163677629 [19,] 2.090369961 2.513580059 [20,] 2.062172090 2.090369961 [21,] 2.729098606 2.062172090 [22,] 1.132825894 2.729098606 [23,] 3.134410848 1.132825894 [24,] -0.320482343 3.134410848 [25,] -1.452633229 -0.320482343 [26,] -3.717259466 -1.452633229 [27,] 1.647213937 -3.717259466 [28,] -2.707515849 1.647213937 [29,] 3.256160103 -2.707515849 [30,] 0.671751693 3.256160103 [31,] 0.489648499 0.671751693 [32,] 0.302648631 0.489648499 [33,] 2.435533332 0.302648631 [34,] -3.023053196 2.435533332 [35,] 0.738293713 -3.023053196 [36,] -2.270064778 0.738293713 [37,] -0.009141311 -2.270064778 [38,] 0.154279708 -0.009141311 [39,] 0.548415785 0.154279708 [40,] 0.556803815 0.548415785 [41,] -2.081188509 0.556803815 [42,] 2.298123129 -2.081188509 [43,] 0.005871239 2.298123129 [44,] 0.287161926 0.005871239 [45,] -1.969411449 0.287161926 [46,] 3.966228263 -1.969411449 [47,] 0.426372410 3.966228263 [48,] -3.139574779 0.426372410 [49,] -0.572951312 -3.139574779 [50,] 0.550677675 -0.572951312 [51,] -0.545912532 0.550677675 [52,] -1.814477851 -0.545912532 [53,] 8.175791839 -1.814477851 [54,] -2.286218158 8.175791839 [55,] 0.751526167 -2.286218158 [56,] 0.024277085 0.751526167 [57,] 2.045992145 0.024277085 [58,] -1.485942486 2.045992145 [59,] 0.151625988 -1.485942486 [60,] -0.368148089 0.151625988 [61,] -2.175338608 -0.368148089 [62,] -2.291151686 -2.175338608 [63,] -0.313066931 -2.291151686 [64,] 1.104252677 -0.313066931 [65,] -0.104808576 1.104252677 [66,] 1.685354782 -0.104808576 [67,] -3.067151226 1.685354782 [68,] -0.327506099 -3.067151226 [69,] 0.054191405 -0.327506099 [70,] 2.985096560 0.054191405 [71,] 0.600822573 2.985096560 [72,] -1.583568909 0.600822573 [73,] -1.649673525 -1.583568909 [74,] -1.267579110 -1.649673525 [75,] -0.467329221 -1.267579110 [76,] 0.524040234 -0.467329221 [77,] 1.688578449 0.524040234 [78,] -0.202317737 1.688578449 [79,] 1.660125030 -0.202317737 [80,] -2.356492297 1.660125030 [81,] -15.412581250 -2.356492297 [82,] 2.232903304 -15.412581250 [83,] -1.036535001 2.232903304 [84,] -0.091887255 -1.036535001 [85,] -0.281500408 -0.091887255 [86,] -1.040258711 -0.281500408 [87,] 0.319129940 -1.040258711 [88,] 0.765624631 0.319129940 [89,] -0.652604878 0.765624631 [90,] 1.245774044 -0.652604878 [91,] 1.121180934 1.245774044 [92,] -1.341116032 1.121180934 [93,] -2.343239091 -1.341116032 [94,] -2.052314459 -2.343239091 [95,] -1.847916449 -2.052314459 [96,] 0.828948388 -1.847916449 [97,] -1.453117130 0.828948388 [98,] -1.249513947 -1.453117130 [99,] -0.604623483 -1.249513947 [100,] -0.934719707 -0.604623483 [101,] 0.058641186 -0.934719707 [102,] 0.007780262 0.058641186 [103,] 2.311544039 0.007780262 [104,] -1.766188862 2.311544039 [105,] -1.033983326 -1.766188862 [106,] 1.046090431 -1.033983326 [107,] -0.710943979 1.046090431 [108,] 0.561466308 -0.710943979 [109,] 0.956442919 0.561466308 [110,] -1.584845982 0.956442919 [111,] -1.560043541 -1.584845982 [112,] 0.512610764 -1.560043541 [113,] -10.883156169 0.512610764 [114,] 0.648519972 -10.883156169 [115,] 0.401237718 0.648519972 [116,] 0.266360077 0.401237718 [117,] 1.068701356 0.266360077 [118,] 0.042733621 1.068701356 [119,] -0.976743719 0.042733621 [120,] 0.245616290 -0.976743719 [121,] -0.663779700 0.245616290 [122,] -1.414835394 -0.663779700 [123,] 0.895263351 -1.414835394 [124,] 0.912270603 0.895263351 [125,] -1.216188387 0.912270603 [126,] 0.036968784 -1.216188387 [127,] -0.705875349 0.036968784 [128,] 3.334100158 -0.705875349 [129,] 0.032199783 3.334100158 [130,] -0.928480340 0.032199783 [131,] -1.312154175 -0.928480340 [132,] -0.865594946 -1.312154175 [133,] 0.587360526 -0.865594946 [134,] 0.760586404 0.587360526 [135,] 2.565814655 0.760586404 [136,] 0.225423358 2.565814655 [137,] 3.700565560 0.225423358 [138,] 1.832073322 3.700565560 [139,] 1.324156889 1.832073322 [140,] -1.548612924 1.324156889 [141,] 1.068382606 -1.548612924 [142,] -0.815560729 1.068382606 [143,] 0.084661114 -0.815560729 [144,] -0.349249279 0.084661114 [145,] -0.035939616 -0.349249279 [146,] 1.480525212 -0.035939616 [147,] 1.667368773 1.480525212 [148,] 0.485996065 1.667368773 [149,] 0.311657640 0.485996065 [150,] 0.032146613 0.311657640 [151,] -2.165748661 0.032146613 [152,] -2.420479051 -2.165748661 [153,] -0.147297409 -2.420479051 [154,] -0.196203587 -0.147297409 [155,] 2.469959989 -0.196203587 [156,] 1.121180934 2.469959989 [157,] 0.532901984 1.121180934 [158,] 3.334100158 0.532901984 [159,] -0.466356985 3.334100158 [160,] -2.857377862 -0.466356985 [161,] 3.371919740 -2.857377862 > z <- as.data.frame(dum1) > z lag(myerror, k = 1) myerror 1 -1.347066107 0.295503886 2 2.087152571 -1.347066107 3 0.436856564 2.087152571 4 -1.779023371 0.436856564 5 -0.477379489 -1.779023371 6 5.423835875 -0.477379489 7 -0.139917530 5.423835875 8 0.102675028 -0.139917530 9 0.543499247 0.102675028 10 1.220268811 0.543499247 11 1.964114954 1.220268811 12 1.149404858 1.964114954 13 0.904905702 1.149404858 14 -0.446998637 0.904905702 15 1.198263329 -0.446998637 16 -1.020452944 1.198263329 17 0.163677629 -1.020452944 18 2.513580059 0.163677629 19 2.090369961 2.513580059 20 2.062172090 2.090369961 21 2.729098606 2.062172090 22 1.132825894 2.729098606 23 3.134410848 1.132825894 24 -0.320482343 3.134410848 25 -1.452633229 -0.320482343 26 -3.717259466 -1.452633229 27 1.647213937 -3.717259466 28 -2.707515849 1.647213937 29 3.256160103 -2.707515849 30 0.671751693 3.256160103 31 0.489648499 0.671751693 32 0.302648631 0.489648499 33 2.435533332 0.302648631 34 -3.023053196 2.435533332 35 0.738293713 -3.023053196 36 -2.270064778 0.738293713 37 -0.009141311 -2.270064778 38 0.154279708 -0.009141311 39 0.548415785 0.154279708 40 0.556803815 0.548415785 41 -2.081188509 0.556803815 42 2.298123129 -2.081188509 43 0.005871239 2.298123129 44 0.287161926 0.005871239 45 -1.969411449 0.287161926 46 3.966228263 -1.969411449 47 0.426372410 3.966228263 48 -3.139574779 0.426372410 49 -0.572951312 -3.139574779 50 0.550677675 -0.572951312 51 -0.545912532 0.550677675 52 -1.814477851 -0.545912532 53 8.175791839 -1.814477851 54 -2.286218158 8.175791839 55 0.751526167 -2.286218158 56 0.024277085 0.751526167 57 2.045992145 0.024277085 58 -1.485942486 2.045992145 59 0.151625988 -1.485942486 60 -0.368148089 0.151625988 61 -2.175338608 -0.368148089 62 -2.291151686 -2.175338608 63 -0.313066931 -2.291151686 64 1.104252677 -0.313066931 65 -0.104808576 1.104252677 66 1.685354782 -0.104808576 67 -3.067151226 1.685354782 68 -0.327506099 -3.067151226 69 0.054191405 -0.327506099 70 2.985096560 0.054191405 71 0.600822573 2.985096560 72 -1.583568909 0.600822573 73 -1.649673525 -1.583568909 74 -1.267579110 -1.649673525 75 -0.467329221 -1.267579110 76 0.524040234 -0.467329221 77 1.688578449 0.524040234 78 -0.202317737 1.688578449 79 1.660125030 -0.202317737 80 -2.356492297 1.660125030 81 -15.412581250 -2.356492297 82 2.232903304 -15.412581250 83 -1.036535001 2.232903304 84 -0.091887255 -1.036535001 85 -0.281500408 -0.091887255 86 -1.040258711 -0.281500408 87 0.319129940 -1.040258711 88 0.765624631 0.319129940 89 -0.652604878 0.765624631 90 1.245774044 -0.652604878 91 1.121180934 1.245774044 92 -1.341116032 1.121180934 93 -2.343239091 -1.341116032 94 -2.052314459 -2.343239091 95 -1.847916449 -2.052314459 96 0.828948388 -1.847916449 97 -1.453117130 0.828948388 98 -1.249513947 -1.453117130 99 -0.604623483 -1.249513947 100 -0.934719707 -0.604623483 101 0.058641186 -0.934719707 102 0.007780262 0.058641186 103 2.311544039 0.007780262 104 -1.766188862 2.311544039 105 -1.033983326 -1.766188862 106 1.046090431 -1.033983326 107 -0.710943979 1.046090431 108 0.561466308 -0.710943979 109 0.956442919 0.561466308 110 -1.584845982 0.956442919 111 -1.560043541 -1.584845982 112 0.512610764 -1.560043541 113 -10.883156169 0.512610764 114 0.648519972 -10.883156169 115 0.401237718 0.648519972 116 0.266360077 0.401237718 117 1.068701356 0.266360077 118 0.042733621 1.068701356 119 -0.976743719 0.042733621 120 0.245616290 -0.976743719 121 -0.663779700 0.245616290 122 -1.414835394 -0.663779700 123 0.895263351 -1.414835394 124 0.912270603 0.895263351 125 -1.216188387 0.912270603 126 0.036968784 -1.216188387 127 -0.705875349 0.036968784 128 3.334100158 -0.705875349 129 0.032199783 3.334100158 130 -0.928480340 0.032199783 131 -1.312154175 -0.928480340 132 -0.865594946 -1.312154175 133 0.587360526 -0.865594946 134 0.760586404 0.587360526 135 2.565814655 0.760586404 136 0.225423358 2.565814655 137 3.700565560 0.225423358 138 1.832073322 3.700565560 139 1.324156889 1.832073322 140 -1.548612924 1.324156889 141 1.068382606 -1.548612924 142 -0.815560729 1.068382606 143 0.084661114 -0.815560729 144 -0.349249279 0.084661114 145 -0.035939616 -0.349249279 146 1.480525212 -0.035939616 147 1.667368773 1.480525212 148 0.485996065 1.667368773 149 0.311657640 0.485996065 150 0.032146613 0.311657640 151 -2.165748661 0.032146613 152 -2.420479051 -2.165748661 153 -0.147297409 -2.420479051 154 -0.196203587 -0.147297409 155 2.469959989 -0.196203587 156 1.121180934 2.469959989 157 0.532901984 1.121180934 158 3.334100158 0.532901984 159 -0.466356985 3.334100158 160 -2.857377862 -0.466356985 161 3.371919740 -2.857377862 > 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/78i371321534609.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > acf(mysum$resid, lag.max=length(mysum$resid)/2, main='Residual Autocorrelation Function') > grid() > dev.off() null device 1 > postscript(file="/var/wessaorg/rcomp/tmp/8daq31321534609.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > pacf(mysum$resid, lag.max=length(mysum$resid)/2, main='Residual Partial Autocorrelation Function') > grid() > dev.off() null device 1 > postscript(file="/var/wessaorg/rcomp/tmp/9l7te1321534609.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > opar <- par(mfrow = c(2,2), oma = c(0, 0, 1.1, 0)) > plot(mylm, las = 1, sub='Residual Diagnostics') > par(opar) > dev.off() null device 1 > if (n > n25) { + postscript(file="/var/wessaorg/rcomp/tmp/10nz1c1321534609.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) + plot(kp3:nmkm3,gqarr[,2], main='Goldfeld-Quandt test',ylab='2-sided p-value',xlab='breakpoint') + grid() + dev.off() + } null device 1 > > #Note: the /var/wessaorg/rcomp/createtable file can be downloaded at http://www.wessa.net/cretab > load(file="/var/wessaorg/rcomp/createtable") > > a<-table.start() > a<-table.row.start(a) > a<-table.element(a, 'Multiple Linear Regression - Estimated Regression Equation', 1, TRUE) > a<-table.row.end(a) > myeq <- colnames(x)[1] > myeq <- paste(myeq, '[t] = ', sep='') > for (i in 1:k){ + if (mysum$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/11xsm91321534609.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/12r1ev1321534609.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/13gqb21321534609.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/14pe5y1321534609.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/15w95a1321534609.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/16kwd51321534609.tab") + } > > try(system("convert tmp/1pahq1321534609.ps tmp/1pahq1321534609.png",intern=TRUE)) character(0) > try(system("convert tmp/2sf5n1321534609.ps tmp/2sf5n1321534609.png",intern=TRUE)) character(0) > try(system("convert tmp/3pxra1321534609.ps tmp/3pxra1321534609.png",intern=TRUE)) character(0) > try(system("convert tmp/4bye51321534609.ps tmp/4bye51321534609.png",intern=TRUE)) character(0) > try(system("convert tmp/53fbg1321534609.ps tmp/53fbg1321534609.png",intern=TRUE)) character(0) > try(system("convert tmp/6lz331321534609.ps tmp/6lz331321534609.png",intern=TRUE)) character(0) > try(system("convert tmp/78i371321534609.ps tmp/78i371321534609.png",intern=TRUE)) character(0) > try(system("convert tmp/8daq31321534609.ps tmp/8daq31321534609.png",intern=TRUE)) character(0) > try(system("convert tmp/9l7te1321534609.ps tmp/9l7te1321534609.png",intern=TRUE)) character(0) > try(system("convert tmp/10nz1c1321534609.ps tmp/10nz1c1321534609.png",intern=TRUE)) character(0) > > > proc.time() user system elapsed 5.228 0.542 5.858