R version 2.12.0 (2010-10-15) Copyright (C) 2010 The R Foundation for Statistical Computing ISBN 3-900051-07-0 Platform: i486-pc-linux-gnu (32-bit) R is free software and comes with ABSOLUTELY NO WARRANTY. You are welcome to redistribute it under certain conditions. Type 'license()' or 'licence()' for distribution details. R is a collaborative project with many contributors. Type 'contributors()' for more information and 'citation()' on how to cite R or R packages in publications. Type 'demo()' for some demos, 'help()' for on-line help, or 'help.start()' for an HTML browser interface to help. Type 'q()' to quit R. > x <- array(list(1 + ,186.59 + ,26 + ,21 + ,21 + ,23 + ,17 + ,23 + ,4 + ,1 + ,244.665 + ,20 + ,16 + ,15 + ,24 + ,17 + ,20 + ,4 + ,1 + ,248.18 + ,19 + ,19 + ,18 + ,22 + ,18 + ,20 + ,6 + ,2 + ,253.568 + ,19 + ,18 + ,11 + ,20 + ,21 + ,21 + ,8 + ,1 + ,171.242 + ,20 + ,16 + ,8 + ,24 + ,20 + ,24 + ,8 + ,1 + ,413.971 + ,25 + ,23 + ,19 + ,27 + ,28 + ,22 + ,4 + ,2 + ,216.89 + ,25 + ,17 + ,4 + ,28 + ,19 + ,23 + ,4 + ,1 + ,227.901 + ,22 + ,12 + ,20 + ,27 + ,22 + ,20 + ,8 + ,1 + ,259.823 + ,26 + ,19 + ,16 + ,24 + ,16 + ,25 + ,5 + ,1 + ,148.438 + ,22 + ,16 + ,14 + ,23 + ,18 + ,23 + ,4 + ,2 + ,241.013 + ,17 + ,19 + ,10 + ,24 + ,25 + ,27 + ,4 + ,2 + ,206.248 + ,22 + ,20 + ,13 + ,27 + ,17 + ,27 + ,4 + ,1 + ,108.908 + ,19 + ,13 + ,14 + ,27 + ,14 + ,22 + ,4 + ,1 + ,267.952 + ,24 + ,20 + ,8 + ,28 + ,11 + ,24 + ,4 + ,1 + ,314.219 + ,26 + ,27 + ,23 + ,27 + ,27 + ,25 + ,4 + ,2 + ,235.115 + ,21 + ,17 + ,11 + ,23 + ,20 + ,22 + ,8 + ,1 + ,203.027 + ,13 + ,8 + ,9 + ,24 + ,22 + ,28 + ,4 + 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+ ,18 + ,10 + ,8 + ,21 + ,15 + ,24 + ,6 + ,1 + ,208.57 + ,20 + ,17 + ,17 + ,26 + ,22 + ,24 + ,7 + ,1 + ,212.503 + ,9 + ,18 + ,9 + ,23 + ,26 + ,25 + ,5 + ,2 + ,251.059 + ,24 + ,15 + ,18 + ,21 + ,16 + ,20 + ,4 + ,1 + ,276.803 + ,25 + ,23 + ,22 + ,27 + ,20 + ,26 + ,8 + ,1 + ,198.339 + ,20 + ,17 + ,10 + ,19 + ,18 + ,21 + ,4 + ,2 + ,301.018 + ,21 + ,17 + ,13 + ,23 + ,22 + ,26 + ,8 + ,2 + ,369.761 + ,25 + ,22 + ,15 + ,25 + ,16 + ,21 + ,6 + ,2 + ,162.768 + ,22 + ,20 + ,18 + ,23 + ,19 + ,22 + ,4 + ,2 + ,199.968 + ,21 + ,20 + ,18 + ,22 + ,20 + ,16 + ,9 + ,1 + ,406.676 + ,21 + ,19 + ,12 + ,22 + ,19 + ,26 + ,5 + ,1 + ,364.156 + ,22 + ,18 + ,12 + ,25 + ,23 + ,28 + ,6 + ,1 + ,202.391 + ,27 + ,22 + ,20 + ,25 + ,24 + ,18 + ,4 + ,2 + ,319.491 + ,24 + ,20 + ,12 + ,28 + ,25 + ,25 + ,4 + ,2 + ,185.546 + ,24 + ,22 + ,16 + ,28 + ,21 + ,23 + ,4 + ,2 + ,243.559 + ,21 + ,18 + ,16 + ,20 + ,21 + ,21 + ,5 + ,1 + ,220.928 + ,18 + ,16 + ,18 + ,25 + ,23 + ,20 + ,6 + ,1 + ,193.714 + ,16 + ,16 + ,16 + ,19 + ,27 + ,25 + ,16 + ,1 + ,372.943 + ,22 + ,16 + ,13 + ,25 + ,23 + ,22 + ,6 + ,1 + ,163.822 + ,20 + ,16 + ,17 + ,22 + ,18 + ,21 + ,6 + ,2 + ,217.566 + ,18 + ,17 + ,13 + ,18 + ,16 + ,16 + ,4 + ,1 + ,232.527 + ,20 + ,18 + ,17 + ,20 + ,16 + ,18 + ,4) + ,dim=c(9 + ,162) + ,dimnames=list(c('G' + ,'Month' + ,'I1' + ,'I2' + ,'I3' + ,'E1' + ,'E2' + ,'E3' + ,'A ') + ,1:162)) > y <- array(NA,dim=c(9,162),dimnames=list(c('G','Month','I1','I2','I3','E1','E2','E3','A '),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 = '1' > 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 G Month I1 I2 I3 E1 E2 E3 A\r 1 1 186.590 26 21 21 23 17 23 4 2 1 244.665 20 16 15 24 17 20 4 3 1 248.180 19 19 18 22 18 20 6 4 2 253.568 19 18 11 20 21 21 8 5 1 171.242 20 16 8 24 20 24 8 6 1 413.971 25 23 19 27 28 22 4 7 2 216.890 25 17 4 28 19 23 4 8 1 227.901 22 12 20 27 22 20 8 9 1 259.823 26 19 16 24 16 25 5 10 1 148.438 22 16 14 23 18 23 4 11 2 241.013 17 19 10 24 25 27 4 12 2 206.248 22 20 13 27 17 27 4 13 1 108.908 19 13 14 27 14 22 4 14 1 267.952 24 20 8 28 11 24 4 15 1 314.219 26 27 23 27 27 25 4 16 2 235.115 21 17 11 23 20 22 8 17 1 203.027 13 8 9 24 22 28 4 18 2 365.415 26 25 24 28 22 28 4 19 2 350.933 20 26 5 27 21 27 4 20 1 263.304 22 13 15 25 23 25 8 21 2 738.751 14 19 5 19 17 16 4 22 1 959.073 21 15 19 24 24 28 7 23 1 483.828 7 5 6 20 14 21 4 24 2 213.016 23 16 13 28 17 24 4 25 1 177.341 17 14 11 26 23 27 5 26 1 352.622 25 24 17 23 24 14 4 27 1 352.622 25 24 17 23 24 14 4 28 1 217.307 19 9 5 20 8 27 4 29 2 236.184 20 19 9 11 22 20 4 30 1 215.701 23 19 15 24 23 21 4 31 2 228.383 22 25 17 25 25 22 4 32 1 485.625 22 19 17 23 21 21 4 33 1 252.502 21 18 20 18 24 12 15 34 2 342.515 15 15 12 20 15 20 10 35 2 196.931 20 12 7 20 22 24 4 36 2 365.315 22 21 16 24 21 19 8 37 1 316.664 18 12 7 23 25 28 4 38 2 313.523 20 15 14 25 16 23 4 39 2 188.124 28 28 24 28 28 27 4 40 1 184.083 22 25 15 26 23 22 4 41 1 362.962 18 19 15 26 21 27 7 42 1 170.161 23 20 10 23 21 26 4 43 1 167.484 20 24 14 22 26 22 6 44 2 211.752 25 26 18 24 22 21 5 45 2 276.469 26 25 12 21 21 19 4 46 1 182.097 15 12 9 20 18 24 16 47 2 266.904 17 12 9 22 12 19 5 48 2 235.328 23 15 8 20 25 26 12 49 1 329.450 21 17 18 25 17 22 6 50 2 258.118 13 14 10 20 24 28 9 51 1 952.515 18 16 17 22 15 21 9 52 1 247.141 19 11 14 23 13 23 4 53 1 498.726 22 20 16 25 26 28 5 54 1 313.308 16 11 10 23 16 10 4 55 2 420.188 24 22 19 23 24 24 4 56 1 231.156 18 20 10 22 21 21 5 57 1 227.844 20 19 14 24 20 21 4 58 1 204.385 24 17 10 25 14 24 4 59 2 216.563 14 21 4 21 25 24 4 60 2 207.190 22 23 19 12 25 25 5 61 1 232.417 24 18 9 17 20 25 4 62 1 203.109 18 17 12 20 22 23 6 63 1 221.070 21 27 16 23 20 21 4 64 2 254.623 23 25 11 23 26 16 4 65 1 108.981 17 19 18 20 18 17 18 66 2 229.417 22 22 11 28 22 25 4 67 2 476.376 24 24 24 24 24 24 6 68 2 221.910 21 20 17 24 17 23 4 69 1 158.946 22 19 18 24 24 25 4 70 1 295.746 16 11 9 24 20 23 5 71 1 187.976 21 22 19 28 19 28 4 72 2 283.760 23 22 18 25 20 26 4 73 2 705.401 22 16 12 21 15 22 5 74 1 178.690 24 20 23 25 23 19 10 75 1 232.635 24 24 22 25 26 26 5 76 1 245.185 16 16 14 18 22 18 8 77 1 186.030 16 16 14 17 20 18 8 78 2 181.142 21 22 16 26 24 25 5 79 2 228.478 26 24 23 28 26 27 4 80 2 491.849 15 16 7 21 21 12 4 81 2 506.461 25 27 10 27 25 15 4 82 1 182.828 18 11 12 22 13 21 5 83 0 263.654 23 21 12 21 20 23 4 84 1 253.718 20 20 12 25 22 22 4 85 2 480.937 17 20 17 22 23 21 8 86 2 209.894 25 27 21 23 28 24 4 87 1 655.920 24 20 16 26 22 27 5 88 1 223.408 17 12 11 19 20 22 14 89 1 103.138 19 8 14 25 6 28 8 90 1 255.664 20 21 13 21 21 26 8 91 1 184.661 15 18 9 13 20 10 4 92 2 372.945 27 24 19 24 18 19 4 93 1 758.600 22 16 13 25 23 22 6 94 1 256.445 23 18 19 26 20 21 4 95 1 204.868 16 20 13 25 24 24 7 96 1 197.384 19 20 13 25 22 25 7 97 2 245.311 25 19 13 22 21 21 4 98 1 301.707 19 17 14 21 18 20 6 99 2 501.478 19 16 12 23 21 21 4 100 2 278.731 26 26 22 25 23 24 7 101 1 205.920 21 15 11 24 23 23 4 102 2 177.140 20 22 5 21 15 18 4 103 1 139.753 24 17 18 21 21 24 8 104 1 366.460 22 23 19 25 24 24 4 105 2 435.522 20 21 14 22 23 19 4 106 1 239.906 18 19 15 20 21 20 10 107 2 178.722 18 14 12 20 21 18 8 108 1 340.040 24 17 19 23 20 20 6 109 1 236.948 24 12 15 28 11 27 4 110 1 221.152 22 24 17 23 22 23 4 111 1 263.303 23 18 8 28 27 26 4 112 1 222.814 22 20 10 24 25 23 5 113 1 317.990 20 16 12 18 18 17 4 114 1 149.593 18 20 12 20 20 21 6 115 1 221.983 25 22 20 28 24 25 4 116 2 201.551 18 12 12 21 10 23 5 117 1 266.901 16 16 12 21 27 27 7 118 1 185.218 20 17 14 25 21 24 8 119 2 347.536 19 22 6 19 21 20 5 120 1 395.593 15 12 10 18 18 27 8 121 1 238.217 19 14 18 21 15 21 10 122 1 254.697 19 23 18 22 24 24 8 123 1 157.584 16 15 7 24 22 21 5 124 1 807.302 17 17 18 15 14 15 12 125 1 252.391 28 28 9 28 28 25 4 126 2 189.194 23 20 17 26 18 25 5 127 1 267.834 25 23 22 23 26 22 4 128 1 173.150 20 13 11 26 17 24 6 129 2 267.633 17 18 15 20 19 21 4 130 2 283.284 23 23 17 22 22 22 4 131 1 209.475 16 19 15 20 18 23 7 132 2 135.135 23 23 22 23 24 22 7 133 2 285.012 11 12 9 22 15 20 10 134 2 178.495 18 16 13 24 18 23 4 135 2 256.852 24 23 20 23 26 25 5 136 1 301.828 23 13 14 22 11 23 8 137 1 158.403 21 22 14 26 26 22 11 138 2 355.963 16 18 12 23 21 25 7 139 2 364.117 24 23 20 27 23 26 4 140 1 233.203 23 20 20 23 23 22 8 141 1 257.634 18 10 8 21 15 24 6 142 1 208.570 20 17 17 26 22 24 7 143 1 212.503 9 18 9 23 26 25 5 144 2 251.059 24 15 18 21 16 20 4 145 1 276.803 25 23 22 27 20 26 8 146 1 198.339 20 17 10 19 18 21 4 147 2 301.018 21 17 13 23 22 26 8 148 2 369.761 25 22 15 25 16 21 6 149 2 162.768 22 20 18 23 19 22 4 150 2 199.968 21 20 18 22 20 16 9 151 1 406.676 21 19 12 22 19 26 5 152 1 364.156 22 18 12 25 23 28 6 153 1 202.391 27 22 20 25 24 18 4 154 2 319.491 24 20 12 28 25 25 4 155 2 185.546 24 22 16 28 21 23 4 156 2 243.559 21 18 16 20 21 21 5 157 1 220.928 18 16 18 25 23 20 6 158 1 193.714 16 16 16 19 27 25 16 159 1 372.943 22 16 13 25 23 22 6 160 1 163.822 20 16 17 22 18 21 6 161 2 217.566 18 17 13 18 16 16 4 162 1 232.527 20 18 17 20 16 18 4 > k <- length(x[1,]) > df <- as.data.frame(x) > (mylm <- lm(df)) Call: lm(formula = df) Coefficients: (Intercept) Month I1 I2 I3 E1 1.4018812 0.0002130 -0.0020792 0.0429579 -0.0155370 -0.0117692 E2 E3 `A\r` -0.0135941 0.0014628 -0.0162112 > (mysum <- summary(mylm)) Call: lm(formula = df) Residuals: Min 1Q Median 3Q Max -1.5757 -0.3800 -0.1866 0.5206 0.8075 Coefficients: Estimate Std. Error t value Pr(>|t|) (Intercept) 1.4018812 0.4139841 3.386 0.00090 *** Month 0.0002130 0.0002737 0.778 0.43755 I1 -0.0020792 0.0155770 -0.133 0.89399 I2 0.0429579 0.0134172 3.202 0.00166 ** I3 -0.0155370 0.0105124 -1.478 0.14147 E1 -0.0117692 0.0150660 -0.781 0.43591 E2 -0.0135941 0.0115333 -1.179 0.24035 E3 0.0014628 0.0119017 0.123 0.90234 `A\r` -0.0162112 0.0166238 -0.975 0.33101 --- Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 Residual standard error: 0.4844 on 153 degrees of freedom Multiple R-squared: 0.1085, Adjusted R-squared: 0.06187 F-statistic: 2.327 on 8 and 153 DF, p-value: 0.02192 > 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,] 0.8133773 0.3732455 0.1866227 [2,] 0.7055615 0.5888769 0.2944385 [3,] 0.6658919 0.6682162 0.3341081 [4,] 0.5644806 0.8710388 0.4355194 [5,] 0.5704628 0.8590745 0.4295372 [6,] 0.5310352 0.9379297 0.4689648 [7,] 0.6828138 0.6343725 0.3171862 [8,] 0.6056739 0.7886521 0.3943261 [9,] 0.5522165 0.8955671 0.4477835 [10,] 0.4930934 0.9861867 0.5069066 [11,] 0.4363971 0.8727941 0.5636029 [12,] 0.3585218 0.7170435 0.6414782 [13,] 0.4897860 0.9795721 0.5102140 [14,] 0.4556035 0.9112071 0.5443965 [15,] 0.4190297 0.8380594 0.5809703 [16,] 0.3698953 0.7397907 0.6301047 [17,] 0.3148290 0.6296579 0.6851710 [18,] 0.3198274 0.6396547 0.6801726 [19,] 0.2771418 0.5542835 0.7228582 [20,] 0.2674822 0.5349643 0.7325178 [21,] 0.2263026 0.4526052 0.7736974 [22,] 0.1867085 0.3734169 0.8132915 [23,] 0.2000879 0.4001759 0.7999121 [24,] 0.2501049 0.5002098 0.7498951 [25,] 0.2736565 0.5473130 0.7263435 [26,] 0.2648583 0.5297166 0.7351417 [27,] 0.3693482 0.7386964 0.6306518 [28,] 0.3686757 0.7373514 0.6313243 [29,] 0.4231519 0.8463038 0.5768481 [30,] 0.4366272 0.8732544 0.5633728 [31,] 0.4694375 0.9388749 0.5305625 [32,] 0.5051583 0.9896834 0.4948417 [33,] 0.4950234 0.9900468 0.5049766 [34,] 0.4600177 0.9200354 0.5399823 [35,] 0.4431765 0.8863529 0.5568235 [36,] 0.4941827 0.9883655 0.5058173 [37,] 0.5405661 0.9188677 0.4594339 [38,] 0.5012323 0.9975354 0.4987677 [39,] 0.5492954 0.9014092 0.4507046 [40,] 0.5280802 0.9438395 0.4719198 [41,] 0.4806763 0.9613527 0.5193237 [42,] 0.4634784 0.9269567 0.5365216 [43,] 0.4238693 0.8477386 0.5761307 [44,] 0.4471630 0.8943260 0.5528370 [45,] 0.4678245 0.9356490 0.5321755 [46,] 0.4531295 0.9062590 0.5468705 [47,] 0.4445307 0.8890614 0.5554693 [48,] 0.4199392 0.8398785 0.5800608 [49,] 0.4198681 0.8397363 0.5801319 [50,] 0.4408894 0.8817789 0.5591106 [51,] 0.4251485 0.8502971 0.5748515 [52,] 0.4885324 0.9770649 0.5114676 [53,] 0.4662358 0.9324715 0.5337642 [54,] 0.4318683 0.8637367 0.5681317 [55,] 0.4261915 0.8523829 0.5738085 [56,] 0.4507144 0.9014287 0.5492856 [57,] 0.4717370 0.9434741 0.5282630 [58,] 0.4402338 0.8804676 0.5597662 [59,] 0.3998123 0.7996246 0.6001877 [60,] 0.3980089 0.7960178 0.6019911 [61,] 0.4054910 0.8109819 0.5945090 [62,] 0.4114592 0.8229185 0.5885408 [63,] 0.3756689 0.7513379 0.6243311 [64,] 0.3616289 0.7232579 0.6383711 [65,] 0.3306145 0.6612290 0.6693855 [66,] 0.3013221 0.6026442 0.6986779 [67,] 0.3171853 0.6343707 0.6828147 [68,] 0.3443279 0.6886558 0.6556721 [69,] 0.3457414 0.6914828 0.6542586 [70,] 0.3077353 0.6154705 0.6922647 [71,] 0.2751860 0.5503719 0.7248140 [72,] 0.6746617 0.6506767 0.3253383 [73,] 0.6731001 0.6537999 0.3268999 [74,] 0.6945559 0.6108881 0.3054441 [75,] 0.6917831 0.6164339 0.3082169 [76,] 0.6846282 0.6307435 0.3153718 [77,] 0.6480389 0.7039221 0.3519611 [78,] 0.6133586 0.7732828 0.3866414 [79,] 0.6079284 0.7841433 0.3920716 [80,] 0.6275727 0.7448545 0.3724273 [81,] 0.6126411 0.7747178 0.3873589 [82,] 0.5847593 0.8304813 0.4152407 [83,] 0.5635550 0.8728901 0.4364450 [84,] 0.5458779 0.9082443 0.4541221 [85,] 0.5283094 0.9433811 0.4716906 [86,] 0.5497566 0.9004868 0.4502434 [87,] 0.5373479 0.9253042 0.4626521 [88,] 0.5668328 0.8663345 0.4331672 [89,] 0.5731482 0.8537036 0.4268518 [90,] 0.5360858 0.9278284 0.4639142 [91,] 0.4936398 0.9872795 0.5063602 [92,] 0.4489257 0.8978514 0.5510743 [93,] 0.4464928 0.8929857 0.5535072 [94,] 0.4436478 0.8872957 0.5563522 [95,] 0.4172101 0.8344202 0.5827899 [96,] 0.5093028 0.9813944 0.4906972 [97,] 0.4702624 0.9405247 0.5297376 [98,] 0.4562555 0.9125111 0.5437445 [99,] 0.4904939 0.9809879 0.5095061 [100,] 0.4562068 0.9124137 0.5437932 [101,] 0.4307928 0.8615856 0.5692072 [102,] 0.4169726 0.8339452 0.5830274 [103,] 0.4327860 0.8655719 0.5672140 [104,] 0.4242204 0.8484408 0.5757796 [105,] 0.4352812 0.8705624 0.5647188 [106,] 0.3874419 0.7748839 0.6125581 [107,] 0.3496061 0.6992122 0.6503939 [108,] 0.3327154 0.6654308 0.6672846 [109,] 0.2895583 0.5791167 0.7104417 [110,] 0.2589598 0.5179196 0.7410402 [111,] 0.2578538 0.5157076 0.7421462 [112,] 0.2288073 0.4576145 0.7711927 [113,] 0.2340550 0.4681101 0.7659450 [114,] 0.2571927 0.5143853 0.7428073 [115,] 0.2571286 0.5142573 0.7428714 [116,] 0.2715243 0.5430486 0.7284757 [117,] 0.2257910 0.4515821 0.7742090 [118,] 0.2089205 0.4178410 0.7910795 [119,] 0.1809599 0.3619197 0.8190401 [120,] 0.1916183 0.3832365 0.8083817 [121,] 0.1943787 0.3887574 0.8056213 [122,] 0.2421210 0.4842420 0.7578790 [123,] 0.2825573 0.5651147 0.7174427 [124,] 0.2581303 0.5162606 0.7418697 [125,] 0.2208241 0.4416482 0.7791759 [126,] 0.1974684 0.3949368 0.8025316 [127,] 0.2241494 0.4482987 0.7758506 [128,] 0.2597276 0.5194551 0.7402724 [129,] 0.2223711 0.4447422 0.7776289 [130,] 0.1927360 0.3854721 0.8072640 [131,] 0.1540935 0.3081870 0.8459065 [132,] 0.1130752 0.2261503 0.8869248 [133,] 0.1862353 0.3724706 0.8137647 [134,] 0.1603305 0.3206609 0.8396695 [135,] 0.3315317 0.6630634 0.6684683 [136,] 0.4246131 0.8492263 0.5753869 [137,] 0.4315813 0.8631627 0.5684187 [138,] 0.4320666 0.8641331 0.5679334 [139,] 0.6285492 0.7429016 0.3714508 > postscript(file="/var/www/rcomp/tmp/135y31321803836.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > plot(x[,1], type='l', main='Actuals and Interpolation', ylab='value of Actuals and Interpolation (dots)', xlab='time or index') > points(x[,1]-mysum$resid) > grid() > dev.off() null device 1 > postscript(file="/var/www/rcomp/tmp/2jbu91321803836.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > plot(mysum$resid, type='b', pch=19, main='Residuals', ylab='value of Residuals', xlab='time or index') > grid() > dev.off() null device 1 > postscript(file="/var/www/rcomp/tmp/3yger1321803836.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > hist(mysum$resid, main='Residual Histogram', xlab='values of Residuals') > grid() > dev.off() null device 1 > postscript(file="/var/www/rcomp/tmp/4tgqo1321803836.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > densityplot(~mysum$resid,col='black',main='Residual Density Plot', xlab='values of Residuals') > dev.off() null device 1 > postscript(file="/var/www/rcomp/tmp/5eehk1321803836.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > qqnorm(mysum$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 6 -0.43041866 -0.31754179 -0.38015445 0.60109997 -0.31088228 -0.39985543 7 8 9 10 11 12 0.55478328 0.10782847 -0.42632934 -0.31098286 0.56895329 0.51696372 13 14 15 16 17 18 -0.18576192 -0.63511622 -0.50419038 0.67239849 -0.01651578 0.52576551 19 20 21 22 23 24 0.15431315 -0.03761537 0.22747988 -0.23046865 -0.15214305 0.70559037 25 26 27 28 29 30 -0.17459346 -0.55056850 -0.55056850 -0.34812100 0.37713982 -0.35390507 31 32 33 34 35 36 0.45213502 -0.42137433 -0.11079356 0.67056428 0.75520598 0.58234413 37 38 39 40 41 42 -0.20422226 0.68899584 0.52184921 -0.58492014 -0.35946767 -0.51111745 43 44 45 46 47 48 -0.53199336 0.39961734 0.27545700 -0.08079775 0.67625685 0.80747318 49 50 51 52 53 54 -0.28860648 0.79070413 -0.41256514 -0.19143003 -0.38517947 -0.21411405 55 56 57 58 59 60 0.53531970 -0.52275257 -0.41904931 -0.45615077 0.35786712 0.43246304 61 62 63 64 65 66 -0.53466958 -0.35348798 -0.73988555 0.35423402 -0.17927245 0.47770320 67 68 69 70 71 72 0.55930998 0.54423933 -0.28953865 -0.16256861 -0.43642161 0.51300533 73 74 75 76 77 78 0.49263670 -0.15064027 -0.40001499 -0.27638074 -0.30273545 0.58345509 79 80 81 82 83 84 0.63819984 0.52587497 0.23823170 -0.20351409 -1.57566401 -0.46109896 85 86 87 88 89 90 0.60653426 0.45286248 -0.45565534 -0.06844420 -0.04596638 -0.49061174 91 92 93 94 95 96 -0.56834366 0.40322474 -0.33111884 -0.27472337 -0.37057511 -0.39139403 97 98 99 100 101 102 0.56214424 -0.37955974 0.62019914 0.50297252 -0.24922169 0.22415577 103 104 105 106 107 108 -0.20515776 -0.47681166 0.47095913 -0.34499318 0.80672360 -0.24891835 109 110 111 112 113 114 -0.18047644 -0.56915018 -0.33570828 -0.43766889 -0.43240747 -0.49522310 115 116 117 118 119 120 -0.34745364 0.69406185 -0.23817914 -0.23823216 0.27262328 -0.26836199 121 122 123 124 125 126 -0.15241174 -0.44523841 -0.30592556 -0.44969645 -0.72197274 0.60578612 127 128 129 130 131 132 -0.39637543 -0.18547028 0.56405997 0.45234350 -0.43647285 0.64918262 133 134 135 136 137 138 0.78029934 0.67052881 0.58463383 -0.25479253 -0.31393057 0.60182967 139 140 141 142 143 144 0.55040177 -0.27129370 -0.21139957 -0.18744396 -0.39322403 0.73008016 145 146 147 148 149 150 -0.37378048 -0.47503006 0.71076931 0.43759013 0.59133750 0.67299059 151 152 153 154 155 156 -0.51437909 -0.35731320 -0.36418938 0.60490702 0.55822487 0.63644238 157 158 159 160 161 162 -0.14427548 -0.03515062 -0.24895567 -0.24822897 0.53168269 -0.42754312 > postscript(file="/var/www/rcomp/tmp/6xm0p1321803836.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 -0.43041866 NA 1 -0.31754179 -0.43041866 2 -0.38015445 -0.31754179 3 0.60109997 -0.38015445 4 -0.31088228 0.60109997 5 -0.39985543 -0.31088228 6 0.55478328 -0.39985543 7 0.10782847 0.55478328 8 -0.42632934 0.10782847 9 -0.31098286 -0.42632934 10 0.56895329 -0.31098286 11 0.51696372 0.56895329 12 -0.18576192 0.51696372 13 -0.63511622 -0.18576192 14 -0.50419038 -0.63511622 15 0.67239849 -0.50419038 16 -0.01651578 0.67239849 17 0.52576551 -0.01651578 18 0.15431315 0.52576551 19 -0.03761537 0.15431315 20 0.22747988 -0.03761537 21 -0.23046865 0.22747988 22 -0.15214305 -0.23046865 23 0.70559037 -0.15214305 24 -0.17459346 0.70559037 25 -0.55056850 -0.17459346 26 -0.55056850 -0.55056850 27 -0.34812100 -0.55056850 28 0.37713982 -0.34812100 29 -0.35390507 0.37713982 30 0.45213502 -0.35390507 31 -0.42137433 0.45213502 32 -0.11079356 -0.42137433 33 0.67056428 -0.11079356 34 0.75520598 0.67056428 35 0.58234413 0.75520598 36 -0.20422226 0.58234413 37 0.68899584 -0.20422226 38 0.52184921 0.68899584 39 -0.58492014 0.52184921 40 -0.35946767 -0.58492014 41 -0.51111745 -0.35946767 42 -0.53199336 -0.51111745 43 0.39961734 -0.53199336 44 0.27545700 0.39961734 45 -0.08079775 0.27545700 46 0.67625685 -0.08079775 47 0.80747318 0.67625685 48 -0.28860648 0.80747318 49 0.79070413 -0.28860648 50 -0.41256514 0.79070413 51 -0.19143003 -0.41256514 52 -0.38517947 -0.19143003 53 -0.21411405 -0.38517947 54 0.53531970 -0.21411405 55 -0.52275257 0.53531970 56 -0.41904931 -0.52275257 57 -0.45615077 -0.41904931 58 0.35786712 -0.45615077 59 0.43246304 0.35786712 60 -0.53466958 0.43246304 61 -0.35348798 -0.53466958 62 -0.73988555 -0.35348798 63 0.35423402 -0.73988555 64 -0.17927245 0.35423402 65 0.47770320 -0.17927245 66 0.55930998 0.47770320 67 0.54423933 0.55930998 68 -0.28953865 0.54423933 69 -0.16256861 -0.28953865 70 -0.43642161 -0.16256861 71 0.51300533 -0.43642161 72 0.49263670 0.51300533 73 -0.15064027 0.49263670 74 -0.40001499 -0.15064027 75 -0.27638074 -0.40001499 76 -0.30273545 -0.27638074 77 0.58345509 -0.30273545 78 0.63819984 0.58345509 79 0.52587497 0.63819984 80 0.23823170 0.52587497 81 -0.20351409 0.23823170 82 -1.57566401 -0.20351409 83 -0.46109896 -1.57566401 84 0.60653426 -0.46109896 85 0.45286248 0.60653426 86 -0.45565534 0.45286248 87 -0.06844420 -0.45565534 88 -0.04596638 -0.06844420 89 -0.49061174 -0.04596638 90 -0.56834366 -0.49061174 91 0.40322474 -0.56834366 92 -0.33111884 0.40322474 93 -0.27472337 -0.33111884 94 -0.37057511 -0.27472337 95 -0.39139403 -0.37057511 96 0.56214424 -0.39139403 97 -0.37955974 0.56214424 98 0.62019914 -0.37955974 99 0.50297252 0.62019914 100 -0.24922169 0.50297252 101 0.22415577 -0.24922169 102 -0.20515776 0.22415577 103 -0.47681166 -0.20515776 104 0.47095913 -0.47681166 105 -0.34499318 0.47095913 106 0.80672360 -0.34499318 107 -0.24891835 0.80672360 108 -0.18047644 -0.24891835 109 -0.56915018 -0.18047644 110 -0.33570828 -0.56915018 111 -0.43766889 -0.33570828 112 -0.43240747 -0.43766889 113 -0.49522310 -0.43240747 114 -0.34745364 -0.49522310 115 0.69406185 -0.34745364 116 -0.23817914 0.69406185 117 -0.23823216 -0.23817914 118 0.27262328 -0.23823216 119 -0.26836199 0.27262328 120 -0.15241174 -0.26836199 121 -0.44523841 -0.15241174 122 -0.30592556 -0.44523841 123 -0.44969645 -0.30592556 124 -0.72197274 -0.44969645 125 0.60578612 -0.72197274 126 -0.39637543 0.60578612 127 -0.18547028 -0.39637543 128 0.56405997 -0.18547028 129 0.45234350 0.56405997 130 -0.43647285 0.45234350 131 0.64918262 -0.43647285 132 0.78029934 0.64918262 133 0.67052881 0.78029934 134 0.58463383 0.67052881 135 -0.25479253 0.58463383 136 -0.31393057 -0.25479253 137 0.60182967 -0.31393057 138 0.55040177 0.60182967 139 -0.27129370 0.55040177 140 -0.21139957 -0.27129370 141 -0.18744396 -0.21139957 142 -0.39322403 -0.18744396 143 0.73008016 -0.39322403 144 -0.37378048 0.73008016 145 -0.47503006 -0.37378048 146 0.71076931 -0.47503006 147 0.43759013 0.71076931 148 0.59133750 0.43759013 149 0.67299059 0.59133750 150 -0.51437909 0.67299059 151 -0.35731320 -0.51437909 152 -0.36418938 -0.35731320 153 0.60490702 -0.36418938 154 0.55822487 0.60490702 155 0.63644238 0.55822487 156 -0.14427548 0.63644238 157 -0.03515062 -0.14427548 158 -0.24895567 -0.03515062 159 -0.24822897 -0.24895567 160 0.53168269 -0.24822897 161 -0.42754312 0.53168269 162 NA -0.42754312 > dum1 <- dum[2:length(myerror),] > dum1 lag(myerror, k = 1) myerror [1,] -0.31754179 -0.43041866 [2,] -0.38015445 -0.31754179 [3,] 0.60109997 -0.38015445 [4,] -0.31088228 0.60109997 [5,] -0.39985543 -0.31088228 [6,] 0.55478328 -0.39985543 [7,] 0.10782847 0.55478328 [8,] -0.42632934 0.10782847 [9,] -0.31098286 -0.42632934 [10,] 0.56895329 -0.31098286 [11,] 0.51696372 0.56895329 [12,] -0.18576192 0.51696372 [13,] -0.63511622 -0.18576192 [14,] -0.50419038 -0.63511622 [15,] 0.67239849 -0.50419038 [16,] -0.01651578 0.67239849 [17,] 0.52576551 -0.01651578 [18,] 0.15431315 0.52576551 [19,] -0.03761537 0.15431315 [20,] 0.22747988 -0.03761537 [21,] -0.23046865 0.22747988 [22,] -0.15214305 -0.23046865 [23,] 0.70559037 -0.15214305 [24,] -0.17459346 0.70559037 [25,] -0.55056850 -0.17459346 [26,] -0.55056850 -0.55056850 [27,] -0.34812100 -0.55056850 [28,] 0.37713982 -0.34812100 [29,] -0.35390507 0.37713982 [30,] 0.45213502 -0.35390507 [31,] -0.42137433 0.45213502 [32,] -0.11079356 -0.42137433 [33,] 0.67056428 -0.11079356 [34,] 0.75520598 0.67056428 [35,] 0.58234413 0.75520598 [36,] -0.20422226 0.58234413 [37,] 0.68899584 -0.20422226 [38,] 0.52184921 0.68899584 [39,] -0.58492014 0.52184921 [40,] -0.35946767 -0.58492014 [41,] -0.51111745 -0.35946767 [42,] -0.53199336 -0.51111745 [43,] 0.39961734 -0.53199336 [44,] 0.27545700 0.39961734 [45,] -0.08079775 0.27545700 [46,] 0.67625685 -0.08079775 [47,] 0.80747318 0.67625685 [48,] -0.28860648 0.80747318 [49,] 0.79070413 -0.28860648 [50,] -0.41256514 0.79070413 [51,] -0.19143003 -0.41256514 [52,] -0.38517947 -0.19143003 [53,] -0.21411405 -0.38517947 [54,] 0.53531970 -0.21411405 [55,] -0.52275257 0.53531970 [56,] -0.41904931 -0.52275257 [57,] -0.45615077 -0.41904931 [58,] 0.35786712 -0.45615077 [59,] 0.43246304 0.35786712 [60,] -0.53466958 0.43246304 [61,] -0.35348798 -0.53466958 [62,] -0.73988555 -0.35348798 [63,] 0.35423402 -0.73988555 [64,] -0.17927245 0.35423402 [65,] 0.47770320 -0.17927245 [66,] 0.55930998 0.47770320 [67,] 0.54423933 0.55930998 [68,] -0.28953865 0.54423933 [69,] -0.16256861 -0.28953865 [70,] -0.43642161 -0.16256861 [71,] 0.51300533 -0.43642161 [72,] 0.49263670 0.51300533 [73,] -0.15064027 0.49263670 [74,] -0.40001499 -0.15064027 [75,] -0.27638074 -0.40001499 [76,] -0.30273545 -0.27638074 [77,] 0.58345509 -0.30273545 [78,] 0.63819984 0.58345509 [79,] 0.52587497 0.63819984 [80,] 0.23823170 0.52587497 [81,] -0.20351409 0.23823170 [82,] -1.57566401 -0.20351409 [83,] -0.46109896 -1.57566401 [84,] 0.60653426 -0.46109896 [85,] 0.45286248 0.60653426 [86,] -0.45565534 0.45286248 [87,] -0.06844420 -0.45565534 [88,] -0.04596638 -0.06844420 [89,] -0.49061174 -0.04596638 [90,] -0.56834366 -0.49061174 [91,] 0.40322474 -0.56834366 [92,] -0.33111884 0.40322474 [93,] -0.27472337 -0.33111884 [94,] -0.37057511 -0.27472337 [95,] -0.39139403 -0.37057511 [96,] 0.56214424 -0.39139403 [97,] -0.37955974 0.56214424 [98,] 0.62019914 -0.37955974 [99,] 0.50297252 0.62019914 [100,] -0.24922169 0.50297252 [101,] 0.22415577 -0.24922169 [102,] -0.20515776 0.22415577 [103,] -0.47681166 -0.20515776 [104,] 0.47095913 -0.47681166 [105,] -0.34499318 0.47095913 [106,] 0.80672360 -0.34499318 [107,] -0.24891835 0.80672360 [108,] -0.18047644 -0.24891835 [109,] -0.56915018 -0.18047644 [110,] -0.33570828 -0.56915018 [111,] -0.43766889 -0.33570828 [112,] -0.43240747 -0.43766889 [113,] -0.49522310 -0.43240747 [114,] -0.34745364 -0.49522310 [115,] 0.69406185 -0.34745364 [116,] -0.23817914 0.69406185 [117,] -0.23823216 -0.23817914 [118,] 0.27262328 -0.23823216 [119,] -0.26836199 0.27262328 [120,] -0.15241174 -0.26836199 [121,] -0.44523841 -0.15241174 [122,] -0.30592556 -0.44523841 [123,] -0.44969645 -0.30592556 [124,] -0.72197274 -0.44969645 [125,] 0.60578612 -0.72197274 [126,] -0.39637543 0.60578612 [127,] -0.18547028 -0.39637543 [128,] 0.56405997 -0.18547028 [129,] 0.45234350 0.56405997 [130,] -0.43647285 0.45234350 [131,] 0.64918262 -0.43647285 [132,] 0.78029934 0.64918262 [133,] 0.67052881 0.78029934 [134,] 0.58463383 0.67052881 [135,] -0.25479253 0.58463383 [136,] -0.31393057 -0.25479253 [137,] 0.60182967 -0.31393057 [138,] 0.55040177 0.60182967 [139,] -0.27129370 0.55040177 [140,] -0.21139957 -0.27129370 [141,] -0.18744396 -0.21139957 [142,] -0.39322403 -0.18744396 [143,] 0.73008016 -0.39322403 [144,] -0.37378048 0.73008016 [145,] -0.47503006 -0.37378048 [146,] 0.71076931 -0.47503006 [147,] 0.43759013 0.71076931 [148,] 0.59133750 0.43759013 [149,] 0.67299059 0.59133750 [150,] -0.51437909 0.67299059 [151,] -0.35731320 -0.51437909 [152,] -0.36418938 -0.35731320 [153,] 0.60490702 -0.36418938 [154,] 0.55822487 0.60490702 [155,] 0.63644238 0.55822487 [156,] -0.14427548 0.63644238 [157,] -0.03515062 -0.14427548 [158,] -0.24895567 -0.03515062 [159,] -0.24822897 -0.24895567 [160,] 0.53168269 -0.24822897 [161,] -0.42754312 0.53168269 > z <- as.data.frame(dum1) > z lag(myerror, k = 1) myerror 1 -0.31754179 -0.43041866 2 -0.38015445 -0.31754179 3 0.60109997 -0.38015445 4 -0.31088228 0.60109997 5 -0.39985543 -0.31088228 6 0.55478328 -0.39985543 7 0.10782847 0.55478328 8 -0.42632934 0.10782847 9 -0.31098286 -0.42632934 10 0.56895329 -0.31098286 11 0.51696372 0.56895329 12 -0.18576192 0.51696372 13 -0.63511622 -0.18576192 14 -0.50419038 -0.63511622 15 0.67239849 -0.50419038 16 -0.01651578 0.67239849 17 0.52576551 -0.01651578 18 0.15431315 0.52576551 19 -0.03761537 0.15431315 20 0.22747988 -0.03761537 21 -0.23046865 0.22747988 22 -0.15214305 -0.23046865 23 0.70559037 -0.15214305 24 -0.17459346 0.70559037 25 -0.55056850 -0.17459346 26 -0.55056850 -0.55056850 27 -0.34812100 -0.55056850 28 0.37713982 -0.34812100 29 -0.35390507 0.37713982 30 0.45213502 -0.35390507 31 -0.42137433 0.45213502 32 -0.11079356 -0.42137433 33 0.67056428 -0.11079356 34 0.75520598 0.67056428 35 0.58234413 0.75520598 36 -0.20422226 0.58234413 37 0.68899584 -0.20422226 38 0.52184921 0.68899584 39 -0.58492014 0.52184921 40 -0.35946767 -0.58492014 41 -0.51111745 -0.35946767 42 -0.53199336 -0.51111745 43 0.39961734 -0.53199336 44 0.27545700 0.39961734 45 -0.08079775 0.27545700 46 0.67625685 -0.08079775 47 0.80747318 0.67625685 48 -0.28860648 0.80747318 49 0.79070413 -0.28860648 50 -0.41256514 0.79070413 51 -0.19143003 -0.41256514 52 -0.38517947 -0.19143003 53 -0.21411405 -0.38517947 54 0.53531970 -0.21411405 55 -0.52275257 0.53531970 56 -0.41904931 -0.52275257 57 -0.45615077 -0.41904931 58 0.35786712 -0.45615077 59 0.43246304 0.35786712 60 -0.53466958 0.43246304 61 -0.35348798 -0.53466958 62 -0.73988555 -0.35348798 63 0.35423402 -0.73988555 64 -0.17927245 0.35423402 65 0.47770320 -0.17927245 66 0.55930998 0.47770320 67 0.54423933 0.55930998 68 -0.28953865 0.54423933 69 -0.16256861 -0.28953865 70 -0.43642161 -0.16256861 71 0.51300533 -0.43642161 72 0.49263670 0.51300533 73 -0.15064027 0.49263670 74 -0.40001499 -0.15064027 75 -0.27638074 -0.40001499 76 -0.30273545 -0.27638074 77 0.58345509 -0.30273545 78 0.63819984 0.58345509 79 0.52587497 0.63819984 80 0.23823170 0.52587497 81 -0.20351409 0.23823170 82 -1.57566401 -0.20351409 83 -0.46109896 -1.57566401 84 0.60653426 -0.46109896 85 0.45286248 0.60653426 86 -0.45565534 0.45286248 87 -0.06844420 -0.45565534 88 -0.04596638 -0.06844420 89 -0.49061174 -0.04596638 90 -0.56834366 -0.49061174 91 0.40322474 -0.56834366 92 -0.33111884 0.40322474 93 -0.27472337 -0.33111884 94 -0.37057511 -0.27472337 95 -0.39139403 -0.37057511 96 0.56214424 -0.39139403 97 -0.37955974 0.56214424 98 0.62019914 -0.37955974 99 0.50297252 0.62019914 100 -0.24922169 0.50297252 101 0.22415577 -0.24922169 102 -0.20515776 0.22415577 103 -0.47681166 -0.20515776 104 0.47095913 -0.47681166 105 -0.34499318 0.47095913 106 0.80672360 -0.34499318 107 -0.24891835 0.80672360 108 -0.18047644 -0.24891835 109 -0.56915018 -0.18047644 110 -0.33570828 -0.56915018 111 -0.43766889 -0.33570828 112 -0.43240747 -0.43766889 113 -0.49522310 -0.43240747 114 -0.34745364 -0.49522310 115 0.69406185 -0.34745364 116 -0.23817914 0.69406185 117 -0.23823216 -0.23817914 118 0.27262328 -0.23823216 119 -0.26836199 0.27262328 120 -0.15241174 -0.26836199 121 -0.44523841 -0.15241174 122 -0.30592556 -0.44523841 123 -0.44969645 -0.30592556 124 -0.72197274 -0.44969645 125 0.60578612 -0.72197274 126 -0.39637543 0.60578612 127 -0.18547028 -0.39637543 128 0.56405997 -0.18547028 129 0.45234350 0.56405997 130 -0.43647285 0.45234350 131 0.64918262 -0.43647285 132 0.78029934 0.64918262 133 0.67052881 0.78029934 134 0.58463383 0.67052881 135 -0.25479253 0.58463383 136 -0.31393057 -0.25479253 137 0.60182967 -0.31393057 138 0.55040177 0.60182967 139 -0.27129370 0.55040177 140 -0.21139957 -0.27129370 141 -0.18744396 -0.21139957 142 -0.39322403 -0.18744396 143 0.73008016 -0.39322403 144 -0.37378048 0.73008016 145 -0.47503006 -0.37378048 146 0.71076931 -0.47503006 147 0.43759013 0.71076931 148 0.59133750 0.43759013 149 0.67299059 0.59133750 150 -0.51437909 0.67299059 151 -0.35731320 -0.51437909 152 -0.36418938 -0.35731320 153 0.60490702 -0.36418938 154 0.55822487 0.60490702 155 0.63644238 0.55822487 156 -0.14427548 0.63644238 157 -0.03515062 -0.14427548 158 -0.24895567 -0.03515062 159 -0.24822897 -0.24895567 160 0.53168269 -0.24822897 161 -0.42754312 0.53168269 > 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/7gkfw1321803836.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > acf(mysum$resid, lag.max=length(mysum$resid)/2, main='Residual Autocorrelation Function') > grid() > dev.off() null device 1 > postscript(file="/var/www/rcomp/tmp/80b931321803836.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > pacf(mysum$resid, lag.max=length(mysum$resid)/2, main='Residual Partial Autocorrelation Function') > grid() > dev.off() null device 1 > postscript(file="/var/www/rcomp/tmp/9h7711321803836.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > opar <- par(mfrow = c(2,2), oma = c(0, 0, 1.1, 0)) > plot(mylm, las = 1, sub='Residual Diagnostics') > par(opar) > dev.off() null device 1 > if (n > n25) { + postscript(file="/var/www/rcomp/tmp/10j1ah1321803836.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) + plot(kp3:nmkm3,gqarr[,2], main='Goldfeld-Quandt test',ylab='2-sided p-value',xlab='breakpoint') + grid() + dev.off() + } null device 1 > > #Note: the /var/www/rcomp/createtable file can be downloaded at http://www.wessa.net/cretab > load(file="/var/www/rcomp/createtable") > > a<-table.start() > a<-table.row.start(a) > a<-table.element(a, 'Multiple Linear Regression - Estimated Regression Equation', 1, TRUE) > a<-table.row.end(a) > myeq <- colnames(x)[1] > myeq <- paste(myeq, '[t] = ', sep='') > for (i in 1:k){ + if (mysum$coefficients[i,1] > 0) myeq <- paste(myeq, '+', '') + myeq <- paste(myeq, mysum$coefficients[i,1], sep=' ') + if (rownames(mysum$coefficients)[i] != '(Intercept)') { + myeq <- paste(myeq, rownames(mysum$coefficients)[i], sep='') + if (rownames(mysum$coefficients)[i] != 't') myeq <- paste(myeq, '[t]', sep='') + } + } > myeq <- paste(myeq, ' + e[t]') > a<-table.row.start(a) > a<-table.element(a, myeq) > a<-table.row.end(a) > a<-table.end(a) > table.save(a,file="/var/www/rcomp/tmp/11hp8b1321803837.tab") > a<-table.start() > a<-table.row.start(a) > a<-table.element(a,hyperlink('http://www.xycoon.com/ols1.htm','Multiple Linear Regression - Ordinary Least Squares',''), 6, TRUE) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a,'Variable',header=TRUE) > a<-table.element(a,'Parameter',header=TRUE) > a<-table.element(a,'S.D.',header=TRUE) > a<-table.element(a,'T-STAT
H0: parameter = 0',header=TRUE) > a<-table.element(a,'2-tail p-value',header=TRUE) > a<-table.element(a,'1-tail p-value',header=TRUE) > a<-table.row.end(a) > for (i in 1:k){ + a<-table.row.start(a) + a<-table.element(a,rownames(mysum$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$coefficients[i,4]/2,6)) + a<-table.row.end(a) + } > a<-table.end(a) > table.save(a,file="/var/www/rcomp/tmp/125z0k1321803837.tab") > a<-table.start() > a<-table.row.start(a) > a<-table.element(a, 'Multiple Linear Regression - Regression Statistics', 2, TRUE) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'Multiple R',1,TRUE) > a<-table.element(a, sqrt(mysum$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$sigma) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'Sum Squared Residuals',1,TRUE) > a<-table.element(a, sum(myerror*myerror)) > a<-table.row.end(a) > a<-table.end(a) > table.save(a,file="/var/www/rcomp/tmp/13di4b1321803837.tab") > a<-table.start() > a<-table.row.start(a) > a<-table.element(a, 'Multiple Linear Regression - Actuals, Interpolation, and Residuals', 4, TRUE) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'Time or Index', 1, TRUE) > a<-table.element(a, 'Actuals', 1, TRUE) > a<-table.element(a, 'Interpolation
Forecast', 1, TRUE) > a<-table.element(a, 'Residuals
Prediction Error', 1, TRUE) > a<-table.row.end(a) > for (i in 1:n) { + a<-table.row.start(a) + a<-table.element(a,i, 1, TRUE) + a<-table.element(a,x[i]) + a<-table.element(a,x[i]-mysum$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/14440k1321803837.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/15pfhp1321803837.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/16rqt91321803837.tab") + } > > try(system("convert tmp/135y31321803836.ps tmp/135y31321803836.png",intern=TRUE)) character(0) > try(system("convert tmp/2jbu91321803836.ps tmp/2jbu91321803836.png",intern=TRUE)) character(0) > try(system("convert tmp/3yger1321803836.ps tmp/3yger1321803836.png",intern=TRUE)) character(0) > try(system("convert tmp/4tgqo1321803836.ps tmp/4tgqo1321803836.png",intern=TRUE)) character(0) > try(system("convert tmp/5eehk1321803836.ps tmp/5eehk1321803836.png",intern=TRUE)) character(0) > try(system("convert tmp/6xm0p1321803836.ps tmp/6xm0p1321803836.png",intern=TRUE)) character(0) > try(system("convert tmp/7gkfw1321803836.ps tmp/7gkfw1321803836.png",intern=TRUE)) character(0) > try(system("convert tmp/80b931321803836.ps tmp/80b931321803836.png",intern=TRUE)) character(0) > try(system("convert tmp/9h7711321803836.ps tmp/9h7711321803836.png",intern=TRUE)) character(0) > try(system("convert tmp/10j1ah1321803836.ps tmp/10j1ah1321803836.png",intern=TRUE)) character(0) > > > proc.time() user system elapsed 5.850 0.290 6.142