R version 2.11.1 (2010-05-31) Copyright (C) 2010 The R Foundation for Statistical Computing ISBN 3-900051-07-0 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(3.50 + ,2.20 + ,3.00 + ,3.43 + ,4.33 + ,2.67 + ,2.75 + ,1.40 + ,2.00 + ,3.57 + ,3.83 + ,2.78 + ,1.50 + ,3.40 + ,2.00 + ,4.29 + ,4.17 + ,1.89 + ,3.00 + ,2.00 + ,2.00 + ,2.71 + ,3.83 + ,2.00 + ,2.00 + ,2.40 + ,2.25 + ,3.14 + ,3.17 + ,2.00 + ,2.50 + ,2.40 + ,1.75 + ,3.14 + ,4.83 + ,1.78 + ,2.50 + ,2.20 + ,1.00 + ,3.57 + ,4.17 + ,2.22 + ,2.75 + ,2.20 + ,2.75 + ,3.29 + ,3.50 + ,1.78 + ,4.00 + ,2.40 + ,1.75 + ,2.43 + ,3.67 + ,2.00 + ,2.75 + ,2.60 + ,1.75 + ,3.00 + ,4.17 + ,1.89 + ,3.25 + ,2.80 + ,3.00 + ,2.71 + ,4.00 + ,2.56 + ,3.00 + ,3.20 + ,2.50 + ,2.71 + ,3.00 + ,3.33 + ,2.00 + ,2.20 + ,2.50 + ,2.14 + ,3.67 + ,2.56 + ,3.00 + ,2.00 + ,2.00 + ,2.29 + ,2.50 + ,2.00 + ,2.75 + ,2.20 + ,2.00 + ,3.29 + ,3.67 + ,1.67 + ,1.00 + ,3.00 + ,1.00 + ,3.86 + ,4.67 + ,1.33 + ,2.25 + ,1.80 + ,2.25 + ,3.14 + ,3.33 + ,2.33 + ,2.00 + ,2.20 + ,2.00 + ,2.00 + ,2.00 + ,1.67 + ,2.00 + ,3.40 + ,1.75 + ,3.14 + ,4.00 + ,2.22 + ,3.50 + ,3.40 + ,2.75 + ,3.29 + ,3.33 + ,3.44 + 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Seasonal Dummies' > par1 = '6' > #'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 Y X1 X2 X3 X4 X5 1 2.67 3.50 2.2 3.00 3.43 4.33 2 2.78 2.75 1.4 2.00 3.57 3.83 3 1.89 1.50 3.4 2.00 4.29 4.17 4 2.00 3.00 2.0 2.00 2.71 3.83 5 2.00 2.00 2.4 2.25 3.14 3.17 6 1.78 2.50 2.4 1.75 3.14 4.83 7 2.22 2.50 2.2 1.00 3.57 4.17 8 1.78 2.75 2.2 2.75 3.29 3.50 9 2.00 4.00 2.4 1.75 2.43 3.67 10 1.89 2.75 2.6 1.75 3.00 4.17 11 2.56 3.25 2.8 3.00 2.71 4.00 12 3.33 3.00 3.2 2.50 2.71 3.00 13 2.56 2.00 2.2 2.50 2.14 3.67 14 2.00 3.00 2.0 2.00 2.29 2.50 15 1.67 2.75 2.2 2.00 3.29 3.67 16 1.33 1.00 3.0 1.00 3.86 4.67 17 2.33 2.25 1.8 2.25 3.14 3.33 18 1.67 2.00 2.2 2.00 2.00 2.00 19 2.22 2.00 3.4 1.75 3.14 4.00 20 3.44 3.50 3.4 2.75 3.29 3.33 21 3.00 3.75 2.2 2.25 3.29 3.50 22 3.78 4.00 3.6 2.75 3.00 3.33 23 2.33 2.25 2.8 3.25 2.71 3.50 24 3.44 3.50 2.0 2.00 2.57 3.83 25 2.11 2.75 2.2 2.00 2.86 4.67 26 1.78 2.00 3.0 2.25 3.29 4.00 27 2.22 2.25 3.0 1.50 3.57 4.00 28 2.33 2.25 2.6 2.25 2.71 4.00 29 2.44 2.25 3.2 2.25 3.43 3.83 30 1.89 2.25 2.6 1.50 3.14 3.83 31 2.67 2.50 1.8 1.50 3.57 4.83 32 2.78 4.00 3.6 4.00 3.71 4.00 33 2.89 2.75 3.6 1.25 4.14 3.00 34 2.78 2.00 2.4 1.75 4.57 4.17 35 1.89 2.25 3.4 2.25 3.57 3.50 36 3.56 4.00 1.8 1.50 4.14 4.33 37 3.67 2.75 1.8 1.50 4.00 3.67 38 1.44 4.00 2.4 1.25 2.43 3.67 39 3.56 3.00 3.6 3.00 4.00 3.67 40 2.78 3.00 2.4 1.75 4.14 3.83 41 3.22 3.50 3.6 2.50 3.71 5.00 42 2.44 2.25 2.8 2.25 3.57 3.83 43 2.00 2.50 3.0 2.00 2.00 2.83 44 1.89 2.25 3.2 1.25 3.57 3.83 45 2.22 2.50 2.0 2.00 3.71 3.83 46 1.67 3.00 2.2 2.00 2.86 4.17 47 2.22 3.50 2.8 2.50 2.57 4.00 48 3.67 3.50 1.8 1.50 4.57 4.00 49 3.22 2.50 2.4 2.00 3.57 3.83 50 2.56 3.50 3.4 1.75 3.57 3.50 51 2.89 4.00 1.0 1.00 3.29 4.00 52 2.00 2.25 2.4 2.00 3.00 4.00 53 2.22 2.50 2.4 2.00 2.86 4.67 54 1.22 1.50 1.2 1.00 2.14 2.67 55 3.11 2.00 4.8 5.00 4.29 3.33 56 2.89 3.25 2.4 2.00 3.43 4.83 57 2.44 2.50 2.4 2.00 3.71 4.50 58 1.89 2.00 2.8 1.50 3.43 3.67 59 1.33 1.75 1.4 1.00 3.14 4.67 60 1.56 3.75 2.6 2.00 2.00 2.67 61 1.89 2.25 2.4 2.25 3.43 4.17 62 2.33 2.50 2.6 1.50 3.43 4.00 63 2.11 3.00 2.8 1.75 3.43 4.67 64 2.00 3.25 1.6 2.25 3.43 4.00 65 1.11 2.50 2.2 1.25 2.71 3.83 66 3.22 2.75 1.8 1.25 4.43 5.00 67 3.44 2.00 2.2 2.00 3.14 4.00 68 2.11 2.25 2.6 2.00 3.86 3.50 69 1.00 3.25 2.0 1.50 2.71 4.17 70 2.22 2.75 2.2 2.00 3.57 4.17 71 3.11 2.00 2.4 1.75 2.86 3.67 72 2.11 2.25 1.8 1.75 3.00 3.83 73 3.33 2.25 3.0 2.25 3.86 4.33 74 3.22 3.75 3.6 2.75 3.29 3.83 75 2.89 2.25 3.0 1.50 3.57 4.17 76 2.56 2.50 2.4 2.00 2.86 3.50 77 1.44 3.50 2.6 1.50 3.00 4.17 78 2.33 3.00 2.8 2.25 3.14 4.00 79 2.11 3.00 2.0 2.00 3.29 4.83 80 3.11 2.75 2.6 1.50 3.57 3.67 81 2.56 3.50 2.6 2.50 3.57 4.50 82 2.00 1.50 2.2 2.00 2.43 4.33 83 2.33 3.00 2.6 2.00 2.71 3.67 84 2.22 2.00 3.2 2.50 3.57 4.00 85 2.56 3.50 1.6 1.25 2.71 4.50 86 2.33 2.75 3.2 1.75 2.86 4.00 87 2.33 2.50 2.2 1.25 3.71 4.00 88 1.67 3.50 1.8 2.00 3.29 4.83 89 3.11 3.00 3.2 3.50 3.86 3.67 90 2.11 2.50 2.4 1.75 2.43 3.50 91 2.89 3.50 2.8 2.00 2.43 4.00 92 1.11 1.25 1.6 1.50 2.71 4.00 93 1.78 2.75 1.8 1.25 2.43 3.83 94 2.44 2.50 3.0 1.50 3.14 3.33 95 2.11 2.25 2.2 2.50 3.00 4.50 96 3.44 2.50 4.2 3.00 4.57 4.33 97 3.44 4.00 2.8 2.25 3.00 4.17 98 3.22 3.25 3.6 3.00 3.00 3.50 99 2.11 2.25 2.4 1.75 2.57 3.50 100 2.44 2.50 2.6 2.00 2.57 3.17 101 2.56 2.50 3.0 2.50 3.29 3.50 102 1.67 1.75 2.4 1.50 2.71 3.50 103 2.22 2.25 3.8 2.50 2.86 2.67 104 2.00 2.00 3.0 2.50 3.00 3.67 105 2.56 3.50 2.2 2.50 2.86 4.83 106 2.78 3.50 2.2 1.25 2.43 2.50 107 2.33 2.00 2.0 1.75 2.57 2.83 108 2.67 2.25 2.6 2.50 2.71 2.50 109 2.78 3.50 3.0 2.75 3.14 3.50 110 1.89 3.50 2.4 1.50 2.14 3.50 111 1.44 2.00 2.4 1.75 2.00 3.17 112 3.11 2.00 3.2 3.00 2.57 4.00 113 2.33 2.00 1.8 2.75 3.43 3.33 114 2.78 1.75 3.6 2.75 5.00 2.83 115 1.00 1.50 1.6 2.75 4.14 3.83 116 1.78 2.00 2.6 1.25 3.00 4.00 117 2.11 1.50 3.4 2.00 3.57 2.33 118 1.89 2.75 1.8 1.50 2.86 3.17 119 2.78 3.50 3.0 2.25 3.14 4.00 120 2.22 2.75 1.6 1.00 1.86 2.17 121 3.22 2.75 1.4 1.00 3.71 3.67 122 1.56 2.75 2.4 1.75 2.43 2.67 123 2.44 3.50 2.8 2.75 3.57 3.17 124 1.67 2.00 1.2 1.50 2.86 4.17 125 2.11 5.00 1.6 1.75 2.71 4.17 126 2.22 2.75 3.4 2.00 3.00 3.83 127 1.67 2.00 2.0 1.00 3.14 4.00 128 2.22 2.75 2.2 2.00 3.43 4.33 129 2.00 2.50 2.8 2.25 3.00 4.33 130 3.67 3.50 2.2 2.00 3.71 4.17 131 2.44 2.75 2.6 2.75 3.43 3.00 132 1.78 2.25 2.4 2.00 2.29 3.50 133 1.89 2.25 2.2 1.25 3.29 4.33 134 1.78 2.00 1.8 1.00 2.57 3.83 135 2.33 2.50 2.4 2.00 2.29 3.83 136 2.89 3.25 4.0 2.50 3.71 3.67 137 2.00 3.25 2.4 1.50 2.71 3.33 138 2.00 3.00 2.6 2.25 3.00 2.17 139 1.89 2.00 2.4 2.25 3.00 4.00 140 2.44 3.25 2.4 3.25 3.14 2.50 141 3.33 3.50 1.8 2.25 3.29 2.33 142 3.33 3.00 3.0 2.50 4.14 3.67 143 2.67 3.50 4.8 5.00 3.00 1.67 144 2.33 3.75 1.4 1.25 3.00 4.00 145 2.33 3.25 3.4 2.75 3.29 3.67 146 3.22 4.00 2.2 1.50 3.86 4.00 147 3.44 2.25 3.4 2.25 3.57 3.17 148 2.22 2.25 2.2 1.75 3.00 3.33 149 1.78 2.25 2.4 2.25 1.43 2.17 150 2.44 2.00 2.8 2.50 2.86 3.33 151 2.22 1.75 2.2 2.25 3.71 3.67 152 3.11 4.00 3.2 2.00 3.43 4.00 153 4.22 2.75 4.2 1.75 4.14 4.83 154 2.44 2.25 2.8 1.50 2.71 2.00 155 2.22 2.75 4.0 3.25 3.43 3.33 156 1.89 2.25 2.6 1.50 2.71 3.50 157 3.11 3.50 2.2 2.00 3.43 4.00 158 2.44 3.25 3.0 2.50 3.14 3.67 159 3.44 4.00 3.8 4.00 2.43 3.33 > k <- length(x[1,]) > df <- as.data.frame(x) > (mylm <- lm(df)) Call: lm(formula = df) Coefficients: (Intercept) X1 X2 X3 X4 X5 -0.21697 0.36037 0.13903 0.08356 0.44041 -0.07763 > (mysum <- summary(mylm)) Call: lm(formula = df) Residuals: Min 1Q Median 3Q Max -1.30178 -0.27590 -0.04085 0.30407 1.39089 Coefficients: Estimate Std. Error t value Pr(>|t|) (Intercept) -0.21697 0.33907 -0.640 0.5232 X1 0.36037 0.05789 6.225 4.41e-09 *** X2 0.13903 0.07370 1.886 0.0611 . X3 0.08356 0.07474 1.118 0.2653 X4 0.44041 0.07449 5.913 2.12e-08 *** X5 -0.07763 0.06868 -1.130 0.2601 --- Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 Residual standard error: 0.4972 on 153 degrees of freedom Multiple R-squared: 0.4074, Adjusted R-squared: 0.3881 F-statistic: 21.04 on 5 and 153 DF, p-value: 5.682e-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,] 0.21391453 0.42782907 0.78608547 [2,] 0.10367434 0.20734868 0.89632566 [3,] 0.23040844 0.46081688 0.76959156 [4,] 0.65240676 0.69518648 0.34759324 [5,] 0.66681301 0.66637398 0.33318699 [6,] 0.64170714 0.71658571 0.35829286 [7,] 0.64593287 0.70813426 0.35406713 [8,] 0.58101335 0.83797331 0.41898665 [9,] 0.49595235 0.99190471 0.50404765 [10,] 0.46511199 0.93022398 0.53488801 [11,] 0.40116978 0.80233956 0.59883022 [12,] 0.43500926 0.87001852 0.56499074 [13,] 0.39481370 0.78962740 0.60518630 [14,] 0.40000907 0.80001814 0.59999093 [15,] 0.33865994 0.67731989 0.66134006 [16,] 0.60011385 0.79977231 0.39988615 [17,] 0.53021199 0.93957602 0.46978801 [18,] 0.49995869 0.99991739 0.50004131 [19,] 0.43820638 0.87641277 0.56179362 [20,] 0.39123676 0.78247351 0.60876324 [21,] 0.33108632 0.66217265 0.66891368 [22,] 0.27916987 0.55833975 0.72083013 [23,] 0.34063540 0.68127080 0.65936460 [24,] 0.40073436 0.80146873 0.59926564 [25,] 0.35746685 0.71493371 0.64253315 [26,] 0.36888896 0.73777791 0.63111104 [27,] 0.38316683 0.76633366 0.61683317 [28,] 0.37496049 0.74992097 0.62503951 [29,] 0.55584627 0.88830745 0.44415373 [30,] 0.76122577 0.47754846 0.23877423 [31,] 0.75816710 0.48366579 0.24183290 [32,] 0.71645993 0.56708013 0.28354007 [33,] 0.69167441 0.61665118 0.30832559 [34,] 0.64244969 0.71510062 0.35755031 [35,] 0.59400651 0.81198699 0.40599349 [36,] 0.58041156 0.83917689 0.41958844 [37,] 0.54621716 0.90756567 0.45378284 [38,] 0.56780139 0.86439723 0.43219861 [39,] 0.52700472 0.94599056 0.47299528 [40,] 0.51809807 0.96380387 0.48190193 [41,] 0.58228769 0.83542463 0.41771231 [42,] 0.56065885 0.87868230 0.43934115 [43,] 0.52524409 0.94951182 0.47475591 [44,] 0.47592759 0.95185519 0.52407241 [45,] 0.43752514 0.87505028 0.56247486 [46,] 0.39068852 0.78137704 0.60931148 [47,] 0.34797979 0.69595957 0.65202021 [48,] 0.32080909 0.64161817 0.67919091 [49,] 0.27770148 0.55540296 0.72229852 [50,] 0.25385381 0.50770763 0.74614619 [51,] 0.23424644 0.46849288 0.76575356 [52,] 0.29239159 0.58478318 0.70760841 [53,] 0.28058158 0.56116316 0.71941842 [54,] 0.24315733 0.48631466 0.75684267 [55,] 0.23067021 0.46134042 0.76932979 [56,] 0.26507517 0.53015035 0.73492483 [57,] 0.34169735 0.68339470 0.65830265 [58,] 0.34401571 0.68803143 0.65598429 [59,] 0.67606006 0.64787989 0.32393994 [60,] 0.66928455 0.66143090 0.33071545 [61,] 0.84515348 0.30969305 0.15484652 [62,] 0.82558689 0.34882623 0.17441311 [63,] 0.93093817 0.13812366 0.06906183 [64,] 0.91470052 0.17059896 0.08529948 [65,] 0.93747137 0.12505726 0.06252863 [66,] 0.92550461 0.14899078 0.07449539 [67,] 0.92747514 0.14504973 0.07252486 [68,] 0.92135980 0.15728041 0.07864020 [69,] 0.97061822 0.05876356 0.02938178 [70,] 0.96339098 0.07321804 0.03660902 [71,] 0.95615491 0.08769018 0.04384509 [72,] 0.95880978 0.08238044 0.04119022 [73,] 0.95110447 0.09779107 0.04889553 [74,] 0.95079759 0.09840482 0.04920241 [75,] 0.93813518 0.12372965 0.06186482 [76,] 0.92554709 0.14890582 0.07445291 [77,] 0.91750227 0.16499546 0.08249773 [78,] 0.90243841 0.19512318 0.09756159 [79,] 0.88179375 0.23641251 0.11820625 [80,] 0.92513240 0.14973520 0.07486760 [81,] 0.90941944 0.18116111 0.09058056 [82,] 0.89034524 0.21930952 0.10965476 [83,] 0.89225218 0.21549563 0.10774782 [84,] 0.88172763 0.23654474 0.11827237 [85,] 0.86068062 0.27863876 0.13931938 [86,] 0.83424465 0.33151070 0.16575535 [87,] 0.80260690 0.39478620 0.19739310 [88,] 0.77413845 0.45172310 0.22586155 [89,] 0.79254215 0.41491571 0.20745785 [90,] 0.78725432 0.42549136 0.21274568 [91,] 0.75347256 0.49305488 0.24652744 [92,] 0.72969623 0.54060754 0.27030377 [93,] 0.68855320 0.62289359 0.31144680 [94,] 0.65058283 0.69883435 0.34941717 [95,] 0.61291221 0.77417559 0.38708779 [96,] 0.57114198 0.85771603 0.42885802 [97,] 0.52584182 0.94831636 0.47415818 [98,] 0.50645537 0.98708926 0.49354463 [99,] 0.50284530 0.99430939 0.49715470 [100,] 0.51572271 0.96855457 0.48427729 [101,] 0.46561243 0.93122485 0.53438757 [102,] 0.44215144 0.88430288 0.55784856 [103,] 0.40286206 0.80572412 0.59713794 [104,] 0.62701642 0.74596717 0.37298358 [105,] 0.61870508 0.76258984 0.38129492 [106,] 0.59019977 0.81960047 0.40980023 [107,] 0.79085639 0.41828721 0.20914361 [108,] 0.76886294 0.46227412 0.23113706 [109,] 0.75817854 0.48364292 0.24182146 [110,] 0.73164739 0.53670521 0.26835261 [111,] 0.68424321 0.63151357 0.31575679 [112,] 0.69262614 0.61474773 0.30737386 [113,] 0.74406044 0.51187912 0.25593956 [114,] 0.74848408 0.50303183 0.25151592 [115,] 0.75480040 0.49039920 0.24519960 [116,] 0.70564641 0.58870718 0.29435359 [117,] 0.74869489 0.50261022 0.25130511 [118,] 0.72218375 0.55563249 0.27781625 [119,] 0.71137322 0.57725357 0.28862678 [120,] 0.67795517 0.64408966 0.32204483 [121,] 0.65264604 0.69470793 0.34735396 [122,] 0.72503875 0.54992251 0.27496125 [123,] 0.67217538 0.65564924 0.32782462 [124,] 0.61160596 0.77678808 0.38839404 [125,] 0.61127422 0.77745157 0.38872578 [126,] 0.55205602 0.89588797 0.44794398 [127,] 0.51095787 0.97808426 0.48904213 [128,] 0.48280557 0.96561114 0.51719443 [129,] 0.48816562 0.97633124 0.51183438 [130,] 0.53179488 0.93641025 0.46820512 [131,] 0.46421279 0.92842558 0.53578721 [132,] 0.39008035 0.78016070 0.60991965 [133,] 0.50150220 0.99699560 0.49849780 [134,] 0.44883293 0.89766586 0.55116707 [135,] 0.37835813 0.75671626 0.62164187 [136,] 0.29858003 0.59716006 0.70141997 [137,] 0.35698624 0.71397247 0.64301376 [138,] 0.26438258 0.52876517 0.73561742 [139,] 0.34158689 0.68317379 0.65841311 [140,] 0.23573931 0.47147862 0.76426069 [141,] 0.14676544 0.29353087 0.85323456 [142,] 0.09219834 0.18439668 0.90780166 > postscript(file="/var/www/rcomp/tmp/1juft1290539179.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > plot(x[,1], type='l', main='Actuals and Interpolation', ylab='value of Actuals and Interpolation (dots)', xlab='time or index') > points(x[,1]-mysum$resid) > grid() > dev.off() null device 1 > postscript(file="/var/www/rcomp/tmp/2u3ww1290539179.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > plot(mysum$resid, type='b', pch=19, main='Residuals', ylab='value of Residuals', xlab='time or index') > grid() > dev.off() null device 1 > postscript(file="/var/www/rcomp/tmp/3u3ww1290539179.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > hist(mysum$resid, main='Residual Histogram', xlab='values of Residuals') > grid() > dev.off() null device 1 > postscript(file="/var/www/rcomp/tmp/4u3ww1290539179.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > densityplot(~mysum$resid,col='black',main='Residual Density Plot', xlab='values of Residuals') > dev.off() null device 1 > postscript(file="/var/www/rcomp/tmp/54ceh1290539179.ps",horizontal=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 = 159 Frequency = 1 1 2 3 4 5 -1.053337e-01 3.692543e-01 -6.390297e-01 -2.055047e-01 -1.622422e-01 6 7 8 9 10 -3.917828e-01 -1.019204e-01 -7.069398e-01 -4.897070e-01 -3.892611e-01 11 12 13 14 15 8.281923e-02 8.514505e-01 8.838965e-01 -1.237827e-01 -7.410738e-01 16 17 18 19 20 -6.514827e-01 1.735011e-01 -3.231082e-02 2.494415e-02 5.027502e-01 21 22 23 24 25 1.944649e-01 7.624758e-01 1.534886e-01 1.115965e+00 -3.406759e-02 26 27 28 29 30 -4.672856e-01 -1.780245e-01 3.036678e-01 -3.881296e-05 -2.762359e-01 31 32 33 34 35 4.131475e-01 -6.026488e-01 -7.940126e-02 1.073852e-01 -6.651194e-01 36 37 38 39 40 4.727380e-01 1.043627e+00 -1.007928e+00 4.679476e-01 -9.000854e-02 41 42 43 44 45 2.205070e-01 -6.085244e-03 7.071437e-02 -5.281374e-01 -2.457251e-01 46 47 48 49 50 -6.029767e-01 -2.438381e-01 5.479318e-01 7.603214e-01 -4.038082e-01 51 52 53 54 55 3.044667e-01 -1.053555e-01 1.382207e-01 -8.918294e-02 -1.097393e-01 56 57 58 59 60 2.993285e-01 -2.932296e-02 -3.540867e-01 -3.822276e-01 -7.765640e-01 61 62 63 64 65 -4.124230e-01 -4.085041e-02 -4.377198e-01 -5.647735e-01 -8.804540e-01 66 67 68 69 70 5.283902e-01 1.390886e+00 -4.407267e-01 -1.227425e+00 -2.755724e-01 71 72 73 74 75 1.151667e+00 9.575284e-02 7.672067e-01 2.036667e-01 5.051728e-01 76 77 78 79 80 3.873925e-01 -1.088652e+00 -1.837936e-01 -2.733102e-01 5.617807e-01 81 82 83 84 85 -2.776249e-01 4.693812e-01 2.865838e-02 -1.992946e-01 3.446002e-01 86 87 88 89 90 1.578274e-02 -8.766429e-02 -8.656921e-01 9.343611e-02 1.476574e-01 91 92 93 94 95 5.295982e-01 -3.542623e-01 -1.216229e-01 8.924444e-02 2.948611e-02 96 97 98 99 100 2.449230e-01 6.406863e-01 4.650643e-01 1.760939e-01 3.416872e-01 101 102 103 104 105 7.282213e-02 -1.244863e-01 -1.633639e-01 -1.660752e-01 1.162933e-01 106 107 108 109 110 4.492365e-01 4.897855e-01 5.063318e-01 -2.238080e-02 -2.841093e-01 111 112 113 114 115 -1.783983e-01 1.089334e+00 9.409731e-02 -3.463122e-01 -1.301784e+00 116 117 118 119 120 -2.003983e-01 -2.447771e-01 -2.731241e-01 5.821388e-02 4.892370e-01 121 122 123 124 125 8.187348e-01 -5.568699e-01 -5.495689e-01 -6.179643e-02 -7.133589e-01 126 127 128 129 130 -2.177665e-01 -2.677498e-01 -2.014944e-01 -2.463311e-01 8.424897e-01 131 132 133 134 135 -2.030230e-01 -5.148155e-02 -2.269813e-01 1.078905e-01 4.340430e-01 136 137 138 139 140 -1.782592e-01 -3.482452e-01 -5.663958e-01 -1.461514e-01 -3.082814e-01 141 142 143 144 145 5.793410e-01 3.014857e-01 -6.510426e-01 -1.142217e-01 -4.907617e-01 146 147 148 149 150 1.748233e-01 8.592624e-01 1.113268e-01 2.031302e-01 3.369927e-01 151 152 153 154 155 -3.656008e-02 7.339276e-02 1.267468e+00 2.932695e-01 -6.338212e-01 156 157 158 159 -1.124788e-01 3.926066e-01 -2.382003e-01 5.412548e-01 > postscript(file="/var/www/rcomp/tmp/64ceh1290539179.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > dum <- cbind(lag(myerror,k=1),myerror) > dum Time Series: Start = 0 End = 159 Frequency = 1 lag(myerror, k = 1) myerror 0 -1.053337e-01 NA 1 3.692543e-01 -1.053337e-01 2 -6.390297e-01 3.692543e-01 3 -2.055047e-01 -6.390297e-01 4 -1.622422e-01 -2.055047e-01 5 -3.917828e-01 -1.622422e-01 6 -1.019204e-01 -3.917828e-01 7 -7.069398e-01 -1.019204e-01 8 -4.897070e-01 -7.069398e-01 9 -3.892611e-01 -4.897070e-01 10 8.281923e-02 -3.892611e-01 11 8.514505e-01 8.281923e-02 12 8.838965e-01 8.514505e-01 13 -1.237827e-01 8.838965e-01 14 -7.410738e-01 -1.237827e-01 15 -6.514827e-01 -7.410738e-01 16 1.735011e-01 -6.514827e-01 17 -3.231082e-02 1.735011e-01 18 2.494415e-02 -3.231082e-02 19 5.027502e-01 2.494415e-02 20 1.944649e-01 5.027502e-01 21 7.624758e-01 1.944649e-01 22 1.534886e-01 7.624758e-01 23 1.115965e+00 1.534886e-01 24 -3.406759e-02 1.115965e+00 25 -4.672856e-01 -3.406759e-02 26 -1.780245e-01 -4.672856e-01 27 3.036678e-01 -1.780245e-01 28 -3.881296e-05 3.036678e-01 29 -2.762359e-01 -3.881296e-05 30 4.131475e-01 -2.762359e-01 31 -6.026488e-01 4.131475e-01 32 -7.940126e-02 -6.026488e-01 33 1.073852e-01 -7.940126e-02 34 -6.651194e-01 1.073852e-01 35 4.727380e-01 -6.651194e-01 36 1.043627e+00 4.727380e-01 37 -1.007928e+00 1.043627e+00 38 4.679476e-01 -1.007928e+00 39 -9.000854e-02 4.679476e-01 40 2.205070e-01 -9.000854e-02 41 -6.085244e-03 2.205070e-01 42 7.071437e-02 -6.085244e-03 43 -5.281374e-01 7.071437e-02 44 -2.457251e-01 -5.281374e-01 45 -6.029767e-01 -2.457251e-01 46 -2.438381e-01 -6.029767e-01 47 5.479318e-01 -2.438381e-01 48 7.603214e-01 5.479318e-01 49 -4.038082e-01 7.603214e-01 50 3.044667e-01 -4.038082e-01 51 -1.053555e-01 3.044667e-01 52 1.382207e-01 -1.053555e-01 53 -8.918294e-02 1.382207e-01 54 -1.097393e-01 -8.918294e-02 55 2.993285e-01 -1.097393e-01 56 -2.932296e-02 2.993285e-01 57 -3.540867e-01 -2.932296e-02 58 -3.822276e-01 -3.540867e-01 59 -7.765640e-01 -3.822276e-01 60 -4.124230e-01 -7.765640e-01 61 -4.085041e-02 -4.124230e-01 62 -4.377198e-01 -4.085041e-02 63 -5.647735e-01 -4.377198e-01 64 -8.804540e-01 -5.647735e-01 65 5.283902e-01 -8.804540e-01 66 1.390886e+00 5.283902e-01 67 -4.407267e-01 1.390886e+00 68 -1.227425e+00 -4.407267e-01 69 -2.755724e-01 -1.227425e+00 70 1.151667e+00 -2.755724e-01 71 9.575284e-02 1.151667e+00 72 7.672067e-01 9.575284e-02 73 2.036667e-01 7.672067e-01 74 5.051728e-01 2.036667e-01 75 3.873925e-01 5.051728e-01 76 -1.088652e+00 3.873925e-01 77 -1.837936e-01 -1.088652e+00 78 -2.733102e-01 -1.837936e-01 79 5.617807e-01 -2.733102e-01 80 -2.776249e-01 5.617807e-01 81 4.693812e-01 -2.776249e-01 82 2.865838e-02 4.693812e-01 83 -1.992946e-01 2.865838e-02 84 3.446002e-01 -1.992946e-01 85 1.578274e-02 3.446002e-01 86 -8.766429e-02 1.578274e-02 87 -8.656921e-01 -8.766429e-02 88 9.343611e-02 -8.656921e-01 89 1.476574e-01 9.343611e-02 90 5.295982e-01 1.476574e-01 91 -3.542623e-01 5.295982e-01 92 -1.216229e-01 -3.542623e-01 93 8.924444e-02 -1.216229e-01 94 2.948611e-02 8.924444e-02 95 2.449230e-01 2.948611e-02 96 6.406863e-01 2.449230e-01 97 4.650643e-01 6.406863e-01 98 1.760939e-01 4.650643e-01 99 3.416872e-01 1.760939e-01 100 7.282213e-02 3.416872e-01 101 -1.244863e-01 7.282213e-02 102 -1.633639e-01 -1.244863e-01 103 -1.660752e-01 -1.633639e-01 104 1.162933e-01 -1.660752e-01 105 4.492365e-01 1.162933e-01 106 4.897855e-01 4.492365e-01 107 5.063318e-01 4.897855e-01 108 -2.238080e-02 5.063318e-01 109 -2.841093e-01 -2.238080e-02 110 -1.783983e-01 -2.841093e-01 111 1.089334e+00 -1.783983e-01 112 9.409731e-02 1.089334e+00 113 -3.463122e-01 9.409731e-02 114 -1.301784e+00 -3.463122e-01 115 -2.003983e-01 -1.301784e+00 116 -2.447771e-01 -2.003983e-01 117 -2.731241e-01 -2.447771e-01 118 5.821388e-02 -2.731241e-01 119 4.892370e-01 5.821388e-02 120 8.187348e-01 4.892370e-01 121 -5.568699e-01 8.187348e-01 122 -5.495689e-01 -5.568699e-01 123 -6.179643e-02 -5.495689e-01 124 -7.133589e-01 -6.179643e-02 125 -2.177665e-01 -7.133589e-01 126 -2.677498e-01 -2.177665e-01 127 -2.014944e-01 -2.677498e-01 128 -2.463311e-01 -2.014944e-01 129 8.424897e-01 -2.463311e-01 130 -2.030230e-01 8.424897e-01 131 -5.148155e-02 -2.030230e-01 132 -2.269813e-01 -5.148155e-02 133 1.078905e-01 -2.269813e-01 134 4.340430e-01 1.078905e-01 135 -1.782592e-01 4.340430e-01 136 -3.482452e-01 -1.782592e-01 137 -5.663958e-01 -3.482452e-01 138 -1.461514e-01 -5.663958e-01 139 -3.082814e-01 -1.461514e-01 140 5.793410e-01 -3.082814e-01 141 3.014857e-01 5.793410e-01 142 -6.510426e-01 3.014857e-01 143 -1.142217e-01 -6.510426e-01 144 -4.907617e-01 -1.142217e-01 145 1.748233e-01 -4.907617e-01 146 8.592624e-01 1.748233e-01 147 1.113268e-01 8.592624e-01 148 2.031302e-01 1.113268e-01 149 3.369927e-01 2.031302e-01 150 -3.656008e-02 3.369927e-01 151 7.339276e-02 -3.656008e-02 152 1.267468e+00 7.339276e-02 153 2.932695e-01 1.267468e+00 154 -6.338212e-01 2.932695e-01 155 -1.124788e-01 -6.338212e-01 156 3.926066e-01 -1.124788e-01 157 -2.382003e-01 3.926066e-01 158 5.412548e-01 -2.382003e-01 159 NA 5.412548e-01 > dum1 <- dum[2:length(myerror),] > dum1 lag(myerror, k = 1) myerror [1,] 3.692543e-01 -1.053337e-01 [2,] -6.390297e-01 3.692543e-01 [3,] -2.055047e-01 -6.390297e-01 [4,] -1.622422e-01 -2.055047e-01 [5,] -3.917828e-01 -1.622422e-01 [6,] -1.019204e-01 -3.917828e-01 [7,] -7.069398e-01 -1.019204e-01 [8,] -4.897070e-01 -7.069398e-01 [9,] -3.892611e-01 -4.897070e-01 [10,] 8.281923e-02 -3.892611e-01 [11,] 8.514505e-01 8.281923e-02 [12,] 8.838965e-01 8.514505e-01 [13,] -1.237827e-01 8.838965e-01 [14,] -7.410738e-01 -1.237827e-01 [15,] -6.514827e-01 -7.410738e-01 [16,] 1.735011e-01 -6.514827e-01 [17,] -3.231082e-02 1.735011e-01 [18,] 2.494415e-02 -3.231082e-02 [19,] 5.027502e-01 2.494415e-02 [20,] 1.944649e-01 5.027502e-01 [21,] 7.624758e-01 1.944649e-01 [22,] 1.534886e-01 7.624758e-01 [23,] 1.115965e+00 1.534886e-01 [24,] -3.406759e-02 1.115965e+00 [25,] -4.672856e-01 -3.406759e-02 [26,] -1.780245e-01 -4.672856e-01 [27,] 3.036678e-01 -1.780245e-01 [28,] -3.881296e-05 3.036678e-01 [29,] -2.762359e-01 -3.881296e-05 [30,] 4.131475e-01 -2.762359e-01 [31,] -6.026488e-01 4.131475e-01 [32,] -7.940126e-02 -6.026488e-01 [33,] 1.073852e-01 -7.940126e-02 [34,] -6.651194e-01 1.073852e-01 [35,] 4.727380e-01 -6.651194e-01 [36,] 1.043627e+00 4.727380e-01 [37,] -1.007928e+00 1.043627e+00 [38,] 4.679476e-01 -1.007928e+00 [39,] -9.000854e-02 4.679476e-01 [40,] 2.205070e-01 -9.000854e-02 [41,] -6.085244e-03 2.205070e-01 [42,] 7.071437e-02 -6.085244e-03 [43,] -5.281374e-01 7.071437e-02 [44,] -2.457251e-01 -5.281374e-01 [45,] -6.029767e-01 -2.457251e-01 [46,] -2.438381e-01 -6.029767e-01 [47,] 5.479318e-01 -2.438381e-01 [48,] 7.603214e-01 5.479318e-01 [49,] -4.038082e-01 7.603214e-01 [50,] 3.044667e-01 -4.038082e-01 [51,] -1.053555e-01 3.044667e-01 [52,] 1.382207e-01 -1.053555e-01 [53,] -8.918294e-02 1.382207e-01 [54,] -1.097393e-01 -8.918294e-02 [55,] 2.993285e-01 -1.097393e-01 [56,] -2.932296e-02 2.993285e-01 [57,] -3.540867e-01 -2.932296e-02 [58,] -3.822276e-01 -3.540867e-01 [59,] -7.765640e-01 -3.822276e-01 [60,] -4.124230e-01 -7.765640e-01 [61,] -4.085041e-02 -4.124230e-01 [62,] -4.377198e-01 -4.085041e-02 [63,] -5.647735e-01 -4.377198e-01 [64,] -8.804540e-01 -5.647735e-01 [65,] 5.283902e-01 -8.804540e-01 [66,] 1.390886e+00 5.283902e-01 [67,] -4.407267e-01 1.390886e+00 [68,] -1.227425e+00 -4.407267e-01 [69,] -2.755724e-01 -1.227425e+00 [70,] 1.151667e+00 -2.755724e-01 [71,] 9.575284e-02 1.151667e+00 [72,] 7.672067e-01 9.575284e-02 [73,] 2.036667e-01 7.672067e-01 [74,] 5.051728e-01 2.036667e-01 [75,] 3.873925e-01 5.051728e-01 [76,] -1.088652e+00 3.873925e-01 [77,] -1.837936e-01 -1.088652e+00 [78,] -2.733102e-01 -1.837936e-01 [79,] 5.617807e-01 -2.733102e-01 [80,] -2.776249e-01 5.617807e-01 [81,] 4.693812e-01 -2.776249e-01 [82,] 2.865838e-02 4.693812e-01 [83,] -1.992946e-01 2.865838e-02 [84,] 3.446002e-01 -1.992946e-01 [85,] 1.578274e-02 3.446002e-01 [86,] -8.766429e-02 1.578274e-02 [87,] -8.656921e-01 -8.766429e-02 [88,] 9.343611e-02 -8.656921e-01 [89,] 1.476574e-01 9.343611e-02 [90,] 5.295982e-01 1.476574e-01 [91,] -3.542623e-01 5.295982e-01 [92,] -1.216229e-01 -3.542623e-01 [93,] 8.924444e-02 -1.216229e-01 [94,] 2.948611e-02 8.924444e-02 [95,] 2.449230e-01 2.948611e-02 [96,] 6.406863e-01 2.449230e-01 [97,] 4.650643e-01 6.406863e-01 [98,] 1.760939e-01 4.650643e-01 [99,] 3.416872e-01 1.760939e-01 [100,] 7.282213e-02 3.416872e-01 [101,] -1.244863e-01 7.282213e-02 [102,] -1.633639e-01 -1.244863e-01 [103,] -1.660752e-01 -1.633639e-01 [104,] 1.162933e-01 -1.660752e-01 [105,] 4.492365e-01 1.162933e-01 [106,] 4.897855e-01 4.492365e-01 [107,] 5.063318e-01 4.897855e-01 [108,] -2.238080e-02 5.063318e-01 [109,] -2.841093e-01 -2.238080e-02 [110,] -1.783983e-01 -2.841093e-01 [111,] 1.089334e+00 -1.783983e-01 [112,] 9.409731e-02 1.089334e+00 [113,] -3.463122e-01 9.409731e-02 [114,] -1.301784e+00 -3.463122e-01 [115,] -2.003983e-01 -1.301784e+00 [116,] -2.447771e-01 -2.003983e-01 [117,] -2.731241e-01 -2.447771e-01 [118,] 5.821388e-02 -2.731241e-01 [119,] 4.892370e-01 5.821388e-02 [120,] 8.187348e-01 4.892370e-01 [121,] -5.568699e-01 8.187348e-01 [122,] -5.495689e-01 -5.568699e-01 [123,] -6.179643e-02 -5.495689e-01 [124,] -7.133589e-01 -6.179643e-02 [125,] -2.177665e-01 -7.133589e-01 [126,] -2.677498e-01 -2.177665e-01 [127,] -2.014944e-01 -2.677498e-01 [128,] -2.463311e-01 -2.014944e-01 [129,] 8.424897e-01 -2.463311e-01 [130,] -2.030230e-01 8.424897e-01 [131,] -5.148155e-02 -2.030230e-01 [132,] -2.269813e-01 -5.148155e-02 [133,] 1.078905e-01 -2.269813e-01 [134,] 4.340430e-01 1.078905e-01 [135,] -1.782592e-01 4.340430e-01 [136,] -3.482452e-01 -1.782592e-01 [137,] -5.663958e-01 -3.482452e-01 [138,] -1.461514e-01 -5.663958e-01 [139,] -3.082814e-01 -1.461514e-01 [140,] 5.793410e-01 -3.082814e-01 [141,] 3.014857e-01 5.793410e-01 [142,] -6.510426e-01 3.014857e-01 [143,] -1.142217e-01 -6.510426e-01 [144,] -4.907617e-01 -1.142217e-01 [145,] 1.748233e-01 -4.907617e-01 [146,] 8.592624e-01 1.748233e-01 [147,] 1.113268e-01 8.592624e-01 [148,] 2.031302e-01 1.113268e-01 [149,] 3.369927e-01 2.031302e-01 [150,] -3.656008e-02 3.369927e-01 [151,] 7.339276e-02 -3.656008e-02 [152,] 1.267468e+00 7.339276e-02 [153,] 2.932695e-01 1.267468e+00 [154,] -6.338212e-01 2.932695e-01 [155,] -1.124788e-01 -6.338212e-01 [156,] 3.926066e-01 -1.124788e-01 [157,] -2.382003e-01 3.926066e-01 [158,] 5.412548e-01 -2.382003e-01 > z <- as.data.frame(dum1) > z lag(myerror, k = 1) myerror 1 3.692543e-01 -1.053337e-01 2 -6.390297e-01 3.692543e-01 3 -2.055047e-01 -6.390297e-01 4 -1.622422e-01 -2.055047e-01 5 -3.917828e-01 -1.622422e-01 6 -1.019204e-01 -3.917828e-01 7 -7.069398e-01 -1.019204e-01 8 -4.897070e-01 -7.069398e-01 9 -3.892611e-01 -4.897070e-01 10 8.281923e-02 -3.892611e-01 11 8.514505e-01 8.281923e-02 12 8.838965e-01 8.514505e-01 13 -1.237827e-01 8.838965e-01 14 -7.410738e-01 -1.237827e-01 15 -6.514827e-01 -7.410738e-01 16 1.735011e-01 -6.514827e-01 17 -3.231082e-02 1.735011e-01 18 2.494415e-02 -3.231082e-02 19 5.027502e-01 2.494415e-02 20 1.944649e-01 5.027502e-01 21 7.624758e-01 1.944649e-01 22 1.534886e-01 7.624758e-01 23 1.115965e+00 1.534886e-01 24 -3.406759e-02 1.115965e+00 25 -4.672856e-01 -3.406759e-02 26 -1.780245e-01 -4.672856e-01 27 3.036678e-01 -1.780245e-01 28 -3.881296e-05 3.036678e-01 29 -2.762359e-01 -3.881296e-05 30 4.131475e-01 -2.762359e-01 31 -6.026488e-01 4.131475e-01 32 -7.940126e-02 -6.026488e-01 33 1.073852e-01 -7.940126e-02 34 -6.651194e-01 1.073852e-01 35 4.727380e-01 -6.651194e-01 36 1.043627e+00 4.727380e-01 37 -1.007928e+00 1.043627e+00 38 4.679476e-01 -1.007928e+00 39 -9.000854e-02 4.679476e-01 40 2.205070e-01 -9.000854e-02 41 -6.085244e-03 2.205070e-01 42 7.071437e-02 -6.085244e-03 43 -5.281374e-01 7.071437e-02 44 -2.457251e-01 -5.281374e-01 45 -6.029767e-01 -2.457251e-01 46 -2.438381e-01 -6.029767e-01 47 5.479318e-01 -2.438381e-01 48 7.603214e-01 5.479318e-01 49 -4.038082e-01 7.603214e-01 50 3.044667e-01 -4.038082e-01 51 -1.053555e-01 3.044667e-01 52 1.382207e-01 -1.053555e-01 53 -8.918294e-02 1.382207e-01 54 -1.097393e-01 -8.918294e-02 55 2.993285e-01 -1.097393e-01 56 -2.932296e-02 2.993285e-01 57 -3.540867e-01 -2.932296e-02 58 -3.822276e-01 -3.540867e-01 59 -7.765640e-01 -3.822276e-01 60 -4.124230e-01 -7.765640e-01 61 -4.085041e-02 -4.124230e-01 62 -4.377198e-01 -4.085041e-02 63 -5.647735e-01 -4.377198e-01 64 -8.804540e-01 -5.647735e-01 65 5.283902e-01 -8.804540e-01 66 1.390886e+00 5.283902e-01 67 -4.407267e-01 1.390886e+00 68 -1.227425e+00 -4.407267e-01 69 -2.755724e-01 -1.227425e+00 70 1.151667e+00 -2.755724e-01 71 9.575284e-02 1.151667e+00 72 7.672067e-01 9.575284e-02 73 2.036667e-01 7.672067e-01 74 5.051728e-01 2.036667e-01 75 3.873925e-01 5.051728e-01 76 -1.088652e+00 3.873925e-01 77 -1.837936e-01 -1.088652e+00 78 -2.733102e-01 -1.837936e-01 79 5.617807e-01 -2.733102e-01 80 -2.776249e-01 5.617807e-01 81 4.693812e-01 -2.776249e-01 82 2.865838e-02 4.693812e-01 83 -1.992946e-01 2.865838e-02 84 3.446002e-01 -1.992946e-01 85 1.578274e-02 3.446002e-01 86 -8.766429e-02 1.578274e-02 87 -8.656921e-01 -8.766429e-02 88 9.343611e-02 -8.656921e-01 89 1.476574e-01 9.343611e-02 90 5.295982e-01 1.476574e-01 91 -3.542623e-01 5.295982e-01 92 -1.216229e-01 -3.542623e-01 93 8.924444e-02 -1.216229e-01 94 2.948611e-02 8.924444e-02 95 2.449230e-01 2.948611e-02 96 6.406863e-01 2.449230e-01 97 4.650643e-01 6.406863e-01 98 1.760939e-01 4.650643e-01 99 3.416872e-01 1.760939e-01 100 7.282213e-02 3.416872e-01 101 -1.244863e-01 7.282213e-02 102 -1.633639e-01 -1.244863e-01 103 -1.660752e-01 -1.633639e-01 104 1.162933e-01 -1.660752e-01 105 4.492365e-01 1.162933e-01 106 4.897855e-01 4.492365e-01 107 5.063318e-01 4.897855e-01 108 -2.238080e-02 5.063318e-01 109 -2.841093e-01 -2.238080e-02 110 -1.783983e-01 -2.841093e-01 111 1.089334e+00 -1.783983e-01 112 9.409731e-02 1.089334e+00 113 -3.463122e-01 9.409731e-02 114 -1.301784e+00 -3.463122e-01 115 -2.003983e-01 -1.301784e+00 116 -2.447771e-01 -2.003983e-01 117 -2.731241e-01 -2.447771e-01 118 5.821388e-02 -2.731241e-01 119 4.892370e-01 5.821388e-02 120 8.187348e-01 4.892370e-01 121 -5.568699e-01 8.187348e-01 122 -5.495689e-01 -5.568699e-01 123 -6.179643e-02 -5.495689e-01 124 -7.133589e-01 -6.179643e-02 125 -2.177665e-01 -7.133589e-01 126 -2.677498e-01 -2.177665e-01 127 -2.014944e-01 -2.677498e-01 128 -2.463311e-01 -2.014944e-01 129 8.424897e-01 -2.463311e-01 130 -2.030230e-01 8.424897e-01 131 -5.148155e-02 -2.030230e-01 132 -2.269813e-01 -5.148155e-02 133 1.078905e-01 -2.269813e-01 134 4.340430e-01 1.078905e-01 135 -1.782592e-01 4.340430e-01 136 -3.482452e-01 -1.782592e-01 137 -5.663958e-01 -3.482452e-01 138 -1.461514e-01 -5.663958e-01 139 -3.082814e-01 -1.461514e-01 140 5.793410e-01 -3.082814e-01 141 3.014857e-01 5.793410e-01 142 -6.510426e-01 3.014857e-01 143 -1.142217e-01 -6.510426e-01 144 -4.907617e-01 -1.142217e-01 145 1.748233e-01 -4.907617e-01 146 8.592624e-01 1.748233e-01 147 1.113268e-01 8.592624e-01 148 2.031302e-01 1.113268e-01 149 3.369927e-01 2.031302e-01 150 -3.656008e-02 3.369927e-01 151 7.339276e-02 -3.656008e-02 152 1.267468e+00 7.339276e-02 153 2.932695e-01 1.267468e+00 154 -6.338212e-01 2.932695e-01 155 -1.124788e-01 -6.338212e-01 156 3.926066e-01 -1.124788e-01 157 -2.382003e-01 3.926066e-01 158 5.412548e-01 -2.382003e-01 > plot(z,main=paste('Residual Lag plot, lowess, and regression line'), ylab='values of Residuals', xlab='lagged values of Residuals') > lines(lowess(z)) > abline(lm(z)) > grid() > dev.off() null device 1 > postscript(file="/var/www/rcomp/tmp/7f3d21290539179.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > acf(mysum$resid, lag.max=length(mysum$resid)/2, main='Residual Autocorrelation Function') > grid() > dev.off() null device 1 > postscript(file="/var/www/rcomp/tmp/8f3d21290539179.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > pacf(mysum$resid, lag.max=length(mysum$resid)/2, main='Residual Partial Autocorrelation Function') > grid() > dev.off() null device 1 > postscript(file="/var/www/rcomp/tmp/9qvc51290539179.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > opar <- par(mfrow = c(2,2), oma = c(0, 0, 1.1, 0)) > plot(mylm, las = 1, sub='Residual Diagnostics') > par(opar) > dev.off() null device 1 > if (n > n25) { + postscript(file="/var/www/rcomp/tmp/10qvc51290539179.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) + plot(kp3:nmkm3,gqarr[,2], main='Goldfeld-Quandt test',ylab='2-sided p-value',xlab='breakpoint') + grid() + dev.off() + } null device 1 > > #Note: the /var/www/rcomp/createtable file can be downloaded at http://www.wessa.net/cretab > load(file="/var/www/rcomp/createtable") > > a<-table.start() > a<-table.row.start(a) > a<-table.element(a, 'Multiple Linear Regression - Estimated Regression Equation', 1, TRUE) > a<-table.row.end(a) > myeq <- colnames(x)[1] > myeq <- paste(myeq, '[t] = ', sep='') > for (i in 1:k){ + if (mysum$coefficients[i,1] > 0) myeq <- paste(myeq, '+', '') + myeq <- paste(myeq, mysum$coefficients[i,1], sep=' ') + if (rownames(mysum$coefficients)[i] != '(Intercept)') { + myeq <- paste(myeq, rownames(mysum$coefficients)[i], sep='') + if (rownames(mysum$coefficients)[i] != 't') myeq <- paste(myeq, '[t]', sep='') + } + } > myeq <- paste(myeq, ' + e[t]') > a<-table.row.start(a) > a<-table.element(a, myeq) > a<-table.row.end(a) > a<-table.end(a) > table.save(a,file="/var/www/rcomp/tmp/11bvbb1290539179.tab") > a<-table.start() > a<-table.row.start(a) > a<-table.element(a,hyperlink('http://www.xycoon.com/ols1.htm','Multiple Linear Regression - Ordinary Least Squares',''), 6, TRUE) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a,'Variable',header=TRUE) > a<-table.element(a,'Parameter',header=TRUE) > a<-table.element(a,'S.D.',header=TRUE) > a<-table.element(a,'T-STAT
H0: parameter = 0',header=TRUE) > a<-table.element(a,'2-tail p-value',header=TRUE) > a<-table.element(a,'1-tail p-value',header=TRUE) > a<-table.row.end(a) > for (i in 1:k){ + a<-table.row.start(a) + a<-table.element(a,rownames(mysum$coefficients)[i],header=TRUE) + a<-table.element(a,mysum$coefficients[i,1]) + a<-table.element(a, round(mysum$coefficients[i,2],6)) + a<-table.element(a, round(mysum$coefficients[i,3],4)) + a<-table.element(a, round(mysum$coefficients[i,4],6)) + a<-table.element(a, round(mysum$coefficients[i,4]/2,6)) + a<-table.row.end(a) + } > a<-table.end(a) > table.save(a,file="/var/www/rcomp/tmp/12we9z1290539179.tab") > a<-table.start() > a<-table.row.start(a) > a<-table.element(a, 'Multiple Linear Regression - Regression Statistics', 2, TRUE) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'Multiple R',1,TRUE) > a<-table.element(a, sqrt(mysum$r.squared)) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'R-squared',1,TRUE) > a<-table.element(a, mysum$r.squared) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'Adjusted R-squared',1,TRUE) > a<-table.element(a, mysum$adj.r.squared) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'F-TEST (value)',1,TRUE) > a<-table.element(a, mysum$fstatistic[1]) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'F-TEST (DF numerator)',1,TRUE) > a<-table.element(a, mysum$fstatistic[2]) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'F-TEST (DF denominator)',1,TRUE) > a<-table.element(a, mysum$fstatistic[3]) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'p-value',1,TRUE) > a<-table.element(a, 1-pf(mysum$fstatistic[1],mysum$fstatistic[2],mysum$fstatistic[3])) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'Multiple Linear Regression - Residual Statistics', 2, TRUE) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'Residual Standard Deviation',1,TRUE) > a<-table.element(a, mysum$sigma) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'Sum Squared Residuals',1,TRUE) > a<-table.element(a, sum(myerror*myerror)) > a<-table.row.end(a) > a<-table.end(a) > table.save(a,file="/var/www/rcomp/tmp/133x6s1290539179.tab") > a<-table.start() > a<-table.row.start(a) > a<-table.element(a, 'Multiple Linear Regression - Actuals, Interpolation, and Residuals', 4, TRUE) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'Time or Index', 1, TRUE) > a<-table.element(a, 'Actuals', 1, TRUE) > a<-table.element(a, 'Interpolation
Forecast', 1, TRUE) > a<-table.element(a, 'Residuals
Prediction Error', 1, TRUE) > a<-table.row.end(a) > for (i in 1:n) { + a<-table.row.start(a) + a<-table.element(a,i, 1, TRUE) + a<-table.element(a,x[i]) + a<-table.element(a,x[i]-mysum$resid[i]) + a<-table.element(a,mysum$resid[i]) + a<-table.row.end(a) + } > a<-table.end(a) > table.save(a,file="/var/www/rcomp/tmp/14e6nv1290539179.tab") > if (n > n25) { + a<-table.start() + a<-table.row.start(a) + a<-table.element(a,'Goldfeld-Quandt test for Heteroskedasticity',4,TRUE) + a<-table.row.end(a) + a<-table.row.start(a) + a<-table.element(a,'p-values',header=TRUE) + a<-table.element(a,'Alternative Hypothesis',3,header=TRUE) + a<-table.row.end(a) + a<-table.row.start(a) + a<-table.element(a,'breakpoint index',header=TRUE) + a<-table.element(a,'greater',header=TRUE) + a<-table.element(a,'2-sided',header=TRUE) + a<-table.element(a,'less',header=TRUE) + a<-table.row.end(a) + for (mypoint in kp3:nmkm3) { + a<-table.row.start(a) + a<-table.element(a,mypoint,header=TRUE) + a<-table.element(a,gqarr[mypoint-kp3+1,1]) + a<-table.element(a,gqarr[mypoint-kp3+1,2]) + a<-table.element(a,gqarr[mypoint-kp3+1,3]) + a<-table.row.end(a) + } + a<-table.end(a) + table.save(a,file="/var/www/rcomp/tmp/15sz7e1290539180.tab") + a<-table.start() + a<-table.row.start(a) + a<-table.element(a,'Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity',4,TRUE) + a<-table.row.end(a) + a<-table.row.start(a) + a<-table.element(a,'Description',header=TRUE) + a<-table.element(a,'# significant tests',header=TRUE) + a<-table.element(a,'% significant tests',header=TRUE) + a<-table.element(a,'OK/NOK',header=TRUE) + a<-table.row.end(a) + a<-table.row.start(a) + a<-table.element(a,'1% type I error level',header=TRUE) + a<-table.element(a,numsignificant1) + a<-table.element(a,numsignificant1/numgqtests) + if (numsignificant1/numgqtests < 0.01) dum <- 'OK' else dum <- 'NOK' + a<-table.element(a,dum) + a<-table.row.end(a) + a<-table.row.start(a) + a<-table.element(a,'5% type I error level',header=TRUE) + a<-table.element(a,numsignificant5) + a<-table.element(a,numsignificant5/numgqtests) + if (numsignificant5/numgqtests < 0.05) dum <- 'OK' else dum <- 'NOK' + a<-table.element(a,dum) + a<-table.row.end(a) + a<-table.row.start(a) + a<-table.element(a,'10% type I error level',header=TRUE) + a<-table.element(a,numsignificant10) + a<-table.element(a,numsignificant10/numgqtests) + if (numsignificant10/numgqtests < 0.1) dum <- 'OK' else dum <- 'NOK' + a<-table.element(a,dum) + a<-table.row.end(a) + a<-table.end(a) + table.save(a,file="/var/www/rcomp/tmp/166q451290539180.tab") + } > > try(system("convert tmp/1juft1290539179.ps tmp/1juft1290539179.png",intern=TRUE)) character(0) > try(system("convert tmp/2u3ww1290539179.ps tmp/2u3ww1290539179.png",intern=TRUE)) character(0) > try(system("convert tmp/3u3ww1290539179.ps tmp/3u3ww1290539179.png",intern=TRUE)) character(0) > try(system("convert tmp/4u3ww1290539179.ps tmp/4u3ww1290539179.png",intern=TRUE)) character(0) > try(system("convert tmp/54ceh1290539179.ps tmp/54ceh1290539179.png",intern=TRUE)) character(0) > try(system("convert tmp/64ceh1290539179.ps tmp/64ceh1290539179.png",intern=TRUE)) character(0) > try(system("convert tmp/7f3d21290539179.ps tmp/7f3d21290539179.png",intern=TRUE)) character(0) > try(system("convert tmp/8f3d21290539179.ps tmp/8f3d21290539179.png",intern=TRUE)) character(0) > try(system("convert tmp/9qvc51290539179.ps tmp/9qvc51290539179.png",intern=TRUE)) character(0) > try(system("convert tmp/10qvc51290539179.ps tmp/10qvc51290539179.png",intern=TRUE)) character(0) > > > proc.time() user system elapsed 5.650 2.180 7.789