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(1818 + ,279055 + ,73 + ,1433 + ,212408 + ,75 + ,2059 + ,233939 + ,83 + ,2733 + ,222117 + ,106 + ,1399 + ,189911 + ,56 + ,631 + ,70849 + ,28 + ,5460 + ,605767 + ,135 + ,381 + ,33186 + ,19 + ,2150 + ,227332 + ,62 + ,2042 + ,267925 + ,49 + ,2536 + ,371987 + ,122 + ,2429 + ,276291 + ,132 + ,2100 + ,212638 + ,87 + ,3020 + ,368577 + ,85 + ,2265 + ,269455 + ,88 + ,5139 + ,398124 + ,191 + ,2363 + ,335567 + ,77 + ,3564 + ,432711 + ,173 + ,1516 + ,185822 + ,59 + ,2398 + ,267365 + ,89 + ,2546 + ,279428 + ,73 + ,3253 + ,527853 + ,112 + ,1705 + ,220142 + ,49 + ,1787 + ,200004 + ,58 + ,3792 + ,257139 + ,133 + ,3108 + ,270941 + ,138 + ,3230 + ,324969 + ,134 + ,2348 + ,329962 + ,92 + ,1780 + ,190867 + ,60 + ,3218 + ,393860 + ,79 + ,2692 + ,327660 + ,89 + ,2187 + ,269239 + ,83 + ,2577 + ,396136 + ,106 + ,1293 + ,130446 + ,49 + ,3567 + ,430118 + ,104 + ,2764 + ,273950 + ,56 + ,3755 + ,428077 + ,128 + ,2075 + ,254312 + ,93 + ,995 + ,120351 + ,35 + ,3750 + ,395658 + ,212 + ,3413 + ,345875 + ,86 + ,2053 + ,216827 + ,82 + ,1984 + ,224524 + ,83 + ,1825 + ,182485 + ,69 + ,2783 + ,168492 + ,86 + ,5572 + ,459455 + ,157 + ,918 + ,78800 + ,42 + ,2685 + ,255072 + ,85 + ,4145 + ,368086 + ,123 + ,2841 + ,230299 + ,70 + ,2175 + ,244782 + ,81 + ,496 + ,24188 + ,24 + ,2699 + ,400109 + ,334 + ,744 + ,65029 + ,17 + ,1161 + ,101097 + ,64 + ,3333 + ,309810 + ,67 + ,2970 + ,375638 + ,91 + ,3969 + ,367127 + ,205 + ,2919 + ,387748 + ,156 + ,2399 + ,280106 + ,90 + ,4121 + ,400971 + ,153 + ,3323 + ,322755 + ,123 + ,3132 + ,291391 + ,124 + ,2868 + ,295075 + ,93 + ,1778 + ,280018 + ,81 + ,2109 + ,267432 + ,71 + ,2148 + ,217181 + ,141 + ,3009 + ,258166 + ,159 + ,2562 + ,264771 + ,88 + ,1737 + ,182961 + ,73 + ,2680 + ,256967 + ,74 + ,893 + ,73566 + ,32 + ,2389 + ,272362 + ,93 + ,2197 + ,229056 + ,62 + ,2227 + ,229851 + ,70 + ,2370 + ,371391 + ,91 + ,3226 + ,398210 + ,104 + ,1978 + ,220419 + ,111 + ,2516 + ,231884 + ,72 + ,2147 + ,219381 + ,73 + ,2150 + ,206169 + ,54 + ,4229 + ,483074 + ,132 + ,1380 + ,146100 + ,72 + ,2449 + ,295224 + ,109 + ,870 + ,80953 + ,25 + ,2700 + ,217384 + ,63 + ,1574 + ,179344 + ,62 + ,4046 + ,415550 + ,222 + ,3259 + ,389059 + ,129 + ,3098 + ,180679 + ,106 + ,2615 + ,299505 + ,104 + ,2404 + ,292260 + ,84 + ,1932 + ,199481 + ,68 + ,3147 + ,282361 + ,78 + ,2598 + ,329281 + ,89 + ,2108 + ,234577 + ,48 + ,2193 + ,297995 + ,67 + ,2478 + ,342490 + ,90 + ,4198 + ,416463 + ,163 + ,4165 + ,429565 + ,120 + ,2842 + ,297080 + ,142 + ,2562 + ,331792 + ,71 + ,2449 + ,229772 + ,202 + ,602 + ,43287 + ,14 + ,2579 + ,238089 + ,87 + ,2591 + ,263322 + ,160 + ,2957 + ,302082 + ,61 + ,2786 + ,321797 + ,95 + ,1477 + ,193926 + ,96 + ,3350 + ,175138 + ,105 + ,2107 + ,354041 + ,78 + ,2332 + ,303273 + ,91 + ,400 + ,23668 + ,13 + ,2233 + ,196743 + ,79 + ,530 + ,61857 + ,25 + ,2033 + ,217543 + ,54 + ,3246 + ,440711 + ,128 + ,387 + ,21054 + ,16 + ,2137 + ,252805 + ,52 + ,492 + ,31961 + ,22 + ,3838 + ,360436 + ,125 + ,2193 + ,251948 + ,77 + ,1796 + ,187320 + ,97 + ,1907 + ,180842 + ,58 + ,568 + ,38214 + ,34 + ,2602 + ,280392 + ,56 + ,2819 + ,358276 + ,84 + ,1464 + ,211775 + ,67 + ,3946 + ,447335 + ,90 + ,2554 + ,348017 + ,99 + ,3506 + ,441946 + ,133 + ,1552 + ,215177 + ,43 + ,1389 + ,130177 + ,47 + ,3101 + ,318037 + ,365 + ,4541 + ,466139 + ,198 + ,1872 + ,162279 + ,62 + ,4403 + ,416643 + ,140 + ,2113 + ,178322 + ,86 + ,2046 + ,292443 + ,54 + ,2564 + ,283913 + ,100 + ,2145 + ,251070 + ,128 + ,4112 + ,387072 + ,125 + ,2340 + ,246963 + ,93 + ,2035 + ,173260 + ,63 + ,3241 + ,346748 + ,108 + ,1991 + ,178402 + ,60 + ,2864 + ,277892 + ,97 + ,2748 + ,314070 + ,112 + ,2 + ,1 + ,0 + ,207 + ,14688 + ,10 + ,5 + ,98 + ,1 + ,8 + ,455 + ,2 + ,0 + ,0 + ,0 + ,0 + ,0 + ,0 + ,2449 + ,291847 + ,95 + ,3490 + ,415421 + ,168 + ,0 + ,0 + ,0 + ,4 + ,203 + ,4 + ,151 + ,7199 + ,5 + ,475 + ,46660 + ,21 + ,141 + ,17547 + ,5 + ,1145 + ,121550 + ,46 + ,29 + ,969 + ,2 + ,2080 + ,242774 + ,75) + ,dim=c(3 + ,164) + ,dimnames=list(c('A' + ,'B' + ,'C') + ,1:164)) > y <- array(NA,dim=c(3,164),dimnames=list(c('A','B','C'),1:164)) > for (i in 1:dim(x)[1]) + { + for (j in 1:dim(x)[2]) + { + y[i,j] <- as.numeric(x[i,j]) + } + } > par3 = 'No Linear Trend' > par2 = 'Do not include Seasonal Dummies' > par1 = '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 A B C 1 1818 279055 73 2 1433 212408 75 3 2059 233939 83 4 2733 222117 106 5 1399 189911 56 6 631 70849 28 7 5460 605767 135 8 381 33186 19 9 2150 227332 62 10 2042 267925 49 11 2536 371987 122 12 2429 276291 132 13 2100 212638 87 14 3020 368577 85 15 2265 269455 88 16 5139 398124 191 17 2363 335567 77 18 3564 432711 173 19 1516 185822 59 20 2398 267365 89 21 2546 279428 73 22 3253 527853 112 23 1705 220142 49 24 1787 200004 58 25 3792 257139 133 26 3108 270941 138 27 3230 324969 134 28 2348 329962 92 29 1780 190867 60 30 3218 393860 79 31 2692 327660 89 32 2187 269239 83 33 2577 396136 106 34 1293 130446 49 35 3567 430118 104 36 2764 273950 56 37 3755 428077 128 38 2075 254312 93 39 995 120351 35 40 3750 395658 212 41 3413 345875 86 42 2053 216827 82 43 1984 224524 83 44 1825 182485 69 45 2783 168492 86 46 5572 459455 157 47 918 78800 42 48 2685 255072 85 49 4145 368086 123 50 2841 230299 70 51 2175 244782 81 52 496 24188 24 53 2699 400109 334 54 744 65029 17 55 1161 101097 64 56 3333 309810 67 57 2970 375638 91 58 3969 367127 205 59 2919 387748 156 60 2399 280106 90 61 4121 400971 153 62 3323 322755 123 63 3132 291391 124 64 2868 295075 93 65 1778 280018 81 66 2109 267432 71 67 2148 217181 141 68 3009 258166 159 69 2562 264771 88 70 1737 182961 73 71 2680 256967 74 72 893 73566 32 73 2389 272362 93 74 2197 229056 62 75 2227 229851 70 76 2370 371391 91 77 3226 398210 104 78 1978 220419 111 79 2516 231884 72 80 2147 219381 73 81 2150 206169 54 82 4229 483074 132 83 1380 146100 72 84 2449 295224 109 85 870 80953 25 86 2700 217384 63 87 1574 179344 62 88 4046 415550 222 89 3259 389059 129 90 3098 180679 106 91 2615 299505 104 92 2404 292260 84 93 1932 199481 68 94 3147 282361 78 95 2598 329281 89 96 2108 234577 48 97 2193 297995 67 98 2478 342490 90 99 4198 416463 163 100 4165 429565 120 101 2842 297080 142 102 2562 331792 71 103 2449 229772 202 104 602 43287 14 105 2579 238089 87 106 2591 263322 160 107 2957 302082 61 108 2786 321797 95 109 1477 193926 96 110 3350 175138 105 111 2107 354041 78 112 2332 303273 91 113 400 23668 13 114 2233 196743 79 115 530 61857 25 116 2033 217543 54 117 3246 440711 128 118 387 21054 16 119 2137 252805 52 120 492 31961 22 121 3838 360436 125 122 2193 251948 77 123 1796 187320 97 124 1907 180842 58 125 568 38214 34 126 2602 280392 56 127 2819 358276 84 128 1464 211775 67 129 3946 447335 90 130 2554 348017 99 131 3506 441946 133 132 1552 215177 43 133 1389 130177 47 134 3101 318037 365 135 4541 466139 198 136 1872 162279 62 137 4403 416643 140 138 2113 178322 86 139 2046 292443 54 140 2564 283913 100 141 2145 251070 128 142 4112 387072 125 143 2340 246963 93 144 2035 173260 63 145 3241 346748 108 146 1991 178402 60 147 2864 277892 97 148 2748 314070 112 149 2 1 0 150 207 14688 10 151 5 98 1 152 8 455 2 153 0 0 0 154 0 0 0 155 2449 291847 95 156 3490 415421 168 157 0 0 0 158 4 203 4 159 151 7199 5 160 475 46660 21 161 141 17547 5 162 1145 121550 46 163 29 969 2 164 2080 242774 75 > k <- length(x[1,]) > df <- as.data.frame(x) > (mylm <- lm(df)) Call: lm(formula = df) Coefficients: (Intercept) B C 189.4798 0.0071 3.9130 > (mysum <- summary(mylm)) Call: lm(formula = df) Residuals: Min 1Q Median 3Q Max -1638.4 -199.1 -64.8 211.4 1506.1 Coefficients: Estimate Std. Error t value Pr(>|t|) (Intercept) 1.895e+02 7.818e+01 2.423 0.0165 * B 7.100e-03 3.964e-04 17.914 < 2e-16 *** C 3.913e+00 9.195e-01 4.256 3.53e-05 *** --- Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 Residual standard error: 448.8 on 161 degrees of freedom Multiple R-squared: 0.8494, Adjusted R-squared: 0.8475 F-statistic: 454.1 on 2 and 161 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,] 0.1600513 3.201027e-01 8.399487e-01 [2,] 0.4821567 9.643134e-01 5.178433e-01 [3,] 0.4780941 9.561882e-01 5.219059e-01 [4,] 0.4067964 8.135927e-01 5.932036e-01 [5,] 0.2965195 5.930389e-01 7.034805e-01 [6,] 0.5877376 8.245249e-01 4.122624e-01 [7,] 0.4954662 9.909324e-01 5.045338e-01 [8,] 0.4223471 8.446942e-01 5.776529e-01 [9,] 0.3322127 6.644254e-01 6.677873e-01 [10,] 0.2542699 5.085397e-01 7.457301e-01 [11,] 0.5804219 8.391561e-01 4.195781e-01 [12,] 0.5361610 9.276779e-01 4.638390e-01 [13,] 0.6729385 6.541230e-01 3.270615e-01 [14,] 0.6040573 7.918855e-01 3.959427e-01 [15,] 0.5324347 9.351306e-01 4.675653e-01 [16,] 0.4898904 9.797808e-01 5.101096e-01 [17,] 0.6694889 6.610222e-01 3.305111e-01 [18,] 0.6127839 7.744321e-01 3.872161e-01 [19,] 0.5566893 8.866213e-01 4.433107e-01 [20,] 0.7658997 4.682006e-01 2.341003e-01 [21,] 0.7248570 5.502859e-01 2.751430e-01 [22,] 0.6732434 6.535132e-01 3.267566e-01 [23,] 0.6626562 6.746876e-01 3.373438e-01 [24,] 0.6125260 7.749481e-01 3.874740e-01 [25,] 0.5983796 8.032408e-01 4.016204e-01 [26,] 0.5428730 9.142539e-01 4.571270e-01 [27,] 0.4920922 9.841843e-01 5.079078e-01 [28,] 0.5812719 8.374561e-01 4.187281e-01 [29,] 0.5269860 9.460280e-01 4.730140e-01 [30,] 0.4893662 9.787325e-01 5.106338e-01 [31,] 0.5894988 8.210023e-01 4.105012e-01 [32,] 0.5370748 9.258504e-01 4.629252e-01 [33,] 0.5099580 9.800840e-01 4.900420e-01 [34,] 0.4587174 9.174348e-01 5.412826e-01 [35,] 0.5189443 9.621114e-01 4.810557e-01 [36,] 0.5652606 8.694788e-01 4.347394e-01 [37,] 0.5129961 9.740078e-01 4.870039e-01 [38,] 0.4644280 9.288559e-01 5.355720e-01 [39,] 0.4155506 8.311012e-01 5.844494e-01 [40,] 0.6161068 7.677864e-01 3.838932e-01 [41,] 0.9275900 1.448199e-01 7.240997e-02 [42,] 0.9089752 1.820496e-01 9.102480e-02 [43,] 0.9012105 1.975790e-01 9.878948e-02 [44,] 0.9407705 1.184591e-01 5.922953e-02 [45,] 0.9644024 7.119512e-02 3.559756e-02 [46,] 0.9542237 9.155268e-02 4.577634e-02 [47,] 0.9417223 1.165555e-01 5.827773e-02 [48,] 0.9998498 3.003457e-04 1.501728e-04 [49,] 0.9997661 4.678297e-04 2.339148e-04 [50,] 0.9996401 7.198254e-04 3.599127e-04 [51,] 0.9997810 4.380430e-04 2.190215e-04 [52,] 0.9997010 5.980995e-04 2.990497e-04 [53,] 0.9996584 6.832350e-04 3.416175e-04 [54,] 0.9997667 4.666757e-04 2.333379e-04 [55,] 0.9996555 6.889963e-04 3.444982e-04 [56,] 0.9996765 6.470577e-04 3.235288e-04 [57,] 0.9996215 7.569572e-04 3.784786e-04 [58,] 0.9995759 8.482137e-04 4.241069e-04 [59,] 0.9994203 1.159358e-03 5.796790e-04 [60,] 0.9996895 6.209416e-04 3.104708e-04 [61,] 0.9995899 8.201617e-04 4.100808e-04 [62,] 0.9994078 1.184402e-03 5.922009e-04 [63,] 0.9993199 1.360292e-03 6.801460e-04 [64,] 0.9990370 1.926003e-03 9.630016e-04 [65,] 0.9985996 2.800769e-03 1.400384e-03 [66,] 0.9984344 3.131258e-03 1.565629e-03 [67,] 0.9977646 4.470807e-03 2.235403e-03 [68,] 0.9968807 6.238573e-03 3.119287e-03 [69,] 0.9957591 8.481769e-03 4.240885e-03 [70,] 0.9942747 1.145069e-02 5.725344e-03 [71,] 0.9973713 5.257340e-03 2.628670e-03 [72,] 0.9965473 6.905497e-03 3.452748e-03 [73,] 0.9955263 8.947377e-03 4.473689e-03 [74,] 0.9951966 9.606876e-03 4.803438e-03 [75,] 0.9934888 1.302244e-02 6.511220e-03 [76,] 0.9921354 1.572925e-02 7.864626e-03 [77,] 0.9894736 2.105273e-02 1.052637e-02 [78,] 0.9862200 2.756005e-02 1.378002e-02 [79,] 0.9834230 3.315408e-02 1.657704e-02 [80,] 0.9781469 4.370623e-02 2.185311e-02 [81,] 0.9862054 2.758914e-02 1.379457e-02 [82,] 0.9820963 3.580733e-02 1.790366e-02 [83,] 0.9764614 4.707725e-02 2.353863e-02 [84,] 0.9709143 5.817134e-02 2.908567e-02 [85,] 0.9962593 7.481307e-03 3.740653e-03 [86,] 0.9948483 1.030337e-02 5.151684e-03 [87,] 0.9932764 1.344715e-02 6.723577e-03 [88,] 0.9908324 1.833526e-02 9.167630e-03 [89,] 0.9939019 1.219617e-02 6.098086e-03 [90,] 0.9926014 1.479716e-02 7.398578e-03 [91,] 0.9899095 2.018106e-02 1.009053e-02 [92,] 0.9891532 2.169364e-02 1.084682e-02 [93,] 0.9904200 1.916001e-02 9.580005e-03 [94,] 0.9901871 1.962574e-02 9.812870e-03 [95,] 0.9904877 1.902460e-02 9.512301e-03 [96,] 0.9870140 2.597208e-02 1.298604e-02 [97,] 0.9843856 3.122886e-02 1.561443e-02 [98,] 0.9796348 4.073032e-02 2.036516e-02 [99,] 0.9732398 5.352035e-02 2.676018e-02 [100,] 0.9713560 5.728793e-02 2.864397e-02 [101,] 0.9627164 7.456711e-02 3.728355e-02 [102,] 0.9605096 7.898076e-02 3.949038e-02 [103,] 0.9490283 1.019433e-01 5.097167e-02 [104,] 0.9493558 1.012883e-01 5.064417e-02 [105,] 0.9995072 9.856856e-04 4.928428e-04 [106,] 0.9999539 9.221189e-05 4.610595e-05 [107,] 0.9999534 9.310781e-05 4.655391e-05 [108,] 0.9999227 1.546385e-04 7.731927e-05 [109,] 0.9999244 1.511826e-04 7.559128e-05 [110,] 0.9998804 2.392053e-04 1.196027e-04 [111,] 0.9998038 3.923017e-04 1.961509e-04 [112,] 0.9999325 1.350184e-04 6.750920e-05 [113,] 0.9998889 2.221638e-04 1.110819e-04 [114,] 0.9998175 3.649645e-04 1.824823e-04 [115,] 0.9997081 5.838296e-04 2.919148e-04 [116,] 0.9998623 2.754062e-04 1.377031e-04 [117,] 0.9997680 4.640997e-04 2.320498e-04 [118,] 0.9996090 7.819662e-04 3.909831e-04 [119,] 0.9994748 1.050414e-03 5.252071e-04 [120,] 0.9991799 1.640202e-03 8.201009e-04 [121,] 0.9987565 2.487032e-03 1.243516e-03 [122,] 0.9986033 2.793445e-03 1.396723e-03 [123,] 0.9989708 2.058363e-03 1.029182e-03 [124,] 0.9983432 3.313529e-03 1.656765e-03 [125,] 0.9992716 1.456711e-03 7.283557e-04 [126,] 0.9996679 6.641553e-04 3.320777e-04 [127,] 0.9997822 4.355224e-04 2.177612e-04 [128,] 0.9996279 7.441579e-04 3.720789e-04 [129,] 0.9996501 6.997258e-04 3.498629e-04 [130,] 0.9993724 1.255110e-03 6.275552e-04 [131,] 0.9992720 1.456047e-03 7.280235e-04 [132,] 0.9997703 4.593869e-04 2.296934e-04 [133,] 0.9998064 3.872912e-04 1.936456e-04 [134,] 0.9999947 1.055617e-05 5.278087e-06 [135,] 0.9999881 2.379488e-05 1.189744e-05 [136,] 0.9999738 5.232561e-05 2.616280e-05 [137,] 0.9999951 9.866822e-06 4.933411e-06 [138,] 0.9999880 2.395155e-05 1.197577e-05 [139,] 0.9999988 2.417631e-06 1.208816e-06 [140,] 0.9999963 7.486686e-06 3.743343e-06 [141,] 0.9999996 8.851927e-07 4.425963e-07 [142,] 1.0000000 5.916316e-12 2.958158e-12 [143,] 1.0000000 1.724687e-11 8.623433e-12 [144,] 1.0000000 1.509948e-10 7.549742e-11 [145,] 1.0000000 8.129504e-10 4.064752e-10 [146,] 1.0000000 7.434689e-09 3.717344e-09 [147,] 1.0000000 6.437206e-08 3.218603e-08 [148,] 0.9999997 5.010694e-07 2.505347e-07 [149,] 0.9999982 3.601988e-06 1.800994e-06 [150,] 0.9999864 2.718208e-05 1.359104e-05 [151,] 0.9999949 1.022664e-05 5.113320e-06 [152,] 0.9999236 1.528015e-04 7.640074e-05 [153,] 0.9996478 7.044108e-04 3.522054e-04 > postscript(file="/var/wessaorg/rcomp/tmp/1hcm91324655342.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/2bs451324655342.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > plot(mysum$resid, type='b', pch=19, main='Residuals', ylab='value of Residuals', xlab='time or index') > grid() > dev.off() null device 1 > postscript(file="/var/wessaorg/rcomp/tmp/3vjae1324655342.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > hist(mysum$resid, main='Residual Histogram', xlab='values of Residuals') > grid() > dev.off() null device 1 > postscript(file="/var/wessaorg/rcomp/tmp/4p34u1324655342.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > densityplot(~mysum$resid,col='black',main='Residual Density Plot', xlab='values of Residuals') > dev.off() null device 1 > postscript(file="/var/wessaorg/rcomp/tmp/5q1ap1324655342.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > qqnorm(mysum$resid, main='Residual Normal Q-Q Plot') > qqline(mysum$resid) > grid() > dev.off() null device 1 > (myerror <- as.ts(mysum$resid)) Time Series: Start = 1 End = 164 Frequency = 1 1 2 3 4 5 -638.5374002 -558.1417104 -116.3249515 551.6169549 -358.0563376 6 7 8 9 10 -171.1017745 441.0633702 -118.4615415 103.7607653 -241.5974481 11 12 13 14 15 -772.1312203 -238.7795121 60.2690560 -119.1373646 -182.0685364 16 17 18 19 20 1375.2873062 -510.4483987 -374.8607257 -223.7617532 -38.1416694 21 22 23 24 25 86.8141430 -1122.7152188 -239.3180642 -49.5469027 1256.2947264 26 27 28 29 30 454.7296681 208.7602050 -544.3457141 0.5036149 -77.1792229 31 32 33 34 35 -172.2615123 -238.9697886 -839.9910878 -14.4387637 -83.4515481 36 37 38 39 40 410.2314396 25.1281358 -284.1119287 -185.9778608 -78.3762971 41 42 43 44 45 431.1433660 3.0904523 -124.4744942 69.8022352 1060.6372226 46 47 48 49 50 1505.8538161 4.6606237 351.7958432 860.6545079 742.3897269 51 52 53 54 55 -69.4887861 40.8629834 -1638.3676608 26.2657973 3.2563008 56 57 58 59 60 681.5672415 -242.7515009 370.5968748 -634.0833330 -131.5211361 61 62 63 64 65 485.7668434 360.5236612 388.3082325 219.4536380 -716.6791963 66 67 68 69 70 -257.1831921 -135.2907701 364.2642979 148.1898323 -37.2296105 71 72 73 74 75 376.3836723 55.9543378 -98.2745154 138.5196407 131.5707152 76 77 78 79 80 -812.5960158 -197.8913367 -210.8915885 398.3095378 114.1730816 81 82 83 84 85 285.3310517 92.9742741 -128.5880059 -263.2125073 7.8946129 86 87 88 89 90 720.4827352 -131.5042647 37.2520279 -197.7406758 1210.8441719 91 92 93 94 95 -108.0443496 -189.3415760 60.0365030 647.4235531 -277.7712936 96 97 98 99 100 65.1003800 -374.5412925 -495.4737569 413.6370177 455.8668017 101 102 103 104 105 -12.5202642 -261.1662435 -162.3858587 50.3821700 358.5562585 106 107 108 109 110 -94.2584807 383.9173582 -60.1098165 -465.0849819 1506.1006122 111 112 113 114 115 -901.5345750 -366.9295849 -8.4016724 337.4343282 -196.5157608 116 117 118 119 120 87.5708711 -573.5785745 -14.5802080 -50.9781272 -10.5025608 121 122 123 124 125 600.1467005 -86.7183524 -103.0926167 206.5113514 -25.8576261 126 127 128 129 130 202.4905319 -243.0829235 -491.3430530 228.0826752 -493.9348828 131 132 133 134 135 -341.9126506 -333.5864089 91.2972722 -774.9253187 266.9611386 136 137 138 139 140 287.6644080 707.3582047 320.8400909 -431.2506105 -32.6825504 141 142 143 144 145 -328.0477657 685.0199050 33.0690602 368.7816811 166.8584479 146 147 148 149 150 300.0103541 321.8081146 -109.7660628 -187.4868764 -125.9008637 151 152 153 154 155 -189.0886286 -192.5364901 -189.4797760 -189.4797760 -184.4522280 156 157 158 159 160 -306.5294014 -189.4797760 -202.5732070 -109.1607589 -127.9586276 161 162 163 164 -192.6359083 -87.5343904 -175.1861061 -126.7530736 > postscript(file="/var/wessaorg/rcomp/tmp/63ltu1324655342.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > dum <- cbind(lag(myerror,k=1),myerror) > dum Time Series: Start = 0 End = 164 Frequency = 1 lag(myerror, k = 1) myerror 0 -638.5374002 NA 1 -558.1417104 -638.5374002 2 -116.3249515 -558.1417104 3 551.6169549 -116.3249515 4 -358.0563376 551.6169549 5 -171.1017745 -358.0563376 6 441.0633702 -171.1017745 7 -118.4615415 441.0633702 8 103.7607653 -118.4615415 9 -241.5974481 103.7607653 10 -772.1312203 -241.5974481 11 -238.7795121 -772.1312203 12 60.2690560 -238.7795121 13 -119.1373646 60.2690560 14 -182.0685364 -119.1373646 15 1375.2873062 -182.0685364 16 -510.4483987 1375.2873062 17 -374.8607257 -510.4483987 18 -223.7617532 -374.8607257 19 -38.1416694 -223.7617532 20 86.8141430 -38.1416694 21 -1122.7152188 86.8141430 22 -239.3180642 -1122.7152188 23 -49.5469027 -239.3180642 24 1256.2947264 -49.5469027 25 454.7296681 1256.2947264 26 208.7602050 454.7296681 27 -544.3457141 208.7602050 28 0.5036149 -544.3457141 29 -77.1792229 0.5036149 30 -172.2615123 -77.1792229 31 -238.9697886 -172.2615123 32 -839.9910878 -238.9697886 33 -14.4387637 -839.9910878 34 -83.4515481 -14.4387637 35 410.2314396 -83.4515481 36 25.1281358 410.2314396 37 -284.1119287 25.1281358 38 -185.9778608 -284.1119287 39 -78.3762971 -185.9778608 40 431.1433660 -78.3762971 41 3.0904523 431.1433660 42 -124.4744942 3.0904523 43 69.8022352 -124.4744942 44 1060.6372226 69.8022352 45 1505.8538161 1060.6372226 46 4.6606237 1505.8538161 47 351.7958432 4.6606237 48 860.6545079 351.7958432 49 742.3897269 860.6545079 50 -69.4887861 742.3897269 51 40.8629834 -69.4887861 52 -1638.3676608 40.8629834 53 26.2657973 -1638.3676608 54 3.2563008 26.2657973 55 681.5672415 3.2563008 56 -242.7515009 681.5672415 57 370.5968748 -242.7515009 58 -634.0833330 370.5968748 59 -131.5211361 -634.0833330 60 485.7668434 -131.5211361 61 360.5236612 485.7668434 62 388.3082325 360.5236612 63 219.4536380 388.3082325 64 -716.6791963 219.4536380 65 -257.1831921 -716.6791963 66 -135.2907701 -257.1831921 67 364.2642979 -135.2907701 68 148.1898323 364.2642979 69 -37.2296105 148.1898323 70 376.3836723 -37.2296105 71 55.9543378 376.3836723 72 -98.2745154 55.9543378 73 138.5196407 -98.2745154 74 131.5707152 138.5196407 75 -812.5960158 131.5707152 76 -197.8913367 -812.5960158 77 -210.8915885 -197.8913367 78 398.3095378 -210.8915885 79 114.1730816 398.3095378 80 285.3310517 114.1730816 81 92.9742741 285.3310517 82 -128.5880059 92.9742741 83 -263.2125073 -128.5880059 84 7.8946129 -263.2125073 85 720.4827352 7.8946129 86 -131.5042647 720.4827352 87 37.2520279 -131.5042647 88 -197.7406758 37.2520279 89 1210.8441719 -197.7406758 90 -108.0443496 1210.8441719 91 -189.3415760 -108.0443496 92 60.0365030 -189.3415760 93 647.4235531 60.0365030 94 -277.7712936 647.4235531 95 65.1003800 -277.7712936 96 -374.5412925 65.1003800 97 -495.4737569 -374.5412925 98 413.6370177 -495.4737569 99 455.8668017 413.6370177 100 -12.5202642 455.8668017 101 -261.1662435 -12.5202642 102 -162.3858587 -261.1662435 103 50.3821700 -162.3858587 104 358.5562585 50.3821700 105 -94.2584807 358.5562585 106 383.9173582 -94.2584807 107 -60.1098165 383.9173582 108 -465.0849819 -60.1098165 109 1506.1006122 -465.0849819 110 -901.5345750 1506.1006122 111 -366.9295849 -901.5345750 112 -8.4016724 -366.9295849 113 337.4343282 -8.4016724 114 -196.5157608 337.4343282 115 87.5708711 -196.5157608 116 -573.5785745 87.5708711 117 -14.5802080 -573.5785745 118 -50.9781272 -14.5802080 119 -10.5025608 -50.9781272 120 600.1467005 -10.5025608 121 -86.7183524 600.1467005 122 -103.0926167 -86.7183524 123 206.5113514 -103.0926167 124 -25.8576261 206.5113514 125 202.4905319 -25.8576261 126 -243.0829235 202.4905319 127 -491.3430530 -243.0829235 128 228.0826752 -491.3430530 129 -493.9348828 228.0826752 130 -341.9126506 -493.9348828 131 -333.5864089 -341.9126506 132 91.2972722 -333.5864089 133 -774.9253187 91.2972722 134 266.9611386 -774.9253187 135 287.6644080 266.9611386 136 707.3582047 287.6644080 137 320.8400909 707.3582047 138 -431.2506105 320.8400909 139 -32.6825504 -431.2506105 140 -328.0477657 -32.6825504 141 685.0199050 -328.0477657 142 33.0690602 685.0199050 143 368.7816811 33.0690602 144 166.8584479 368.7816811 145 300.0103541 166.8584479 146 321.8081146 300.0103541 147 -109.7660628 321.8081146 148 -187.4868764 -109.7660628 149 -125.9008637 -187.4868764 150 -189.0886286 -125.9008637 151 -192.5364901 -189.0886286 152 -189.4797760 -192.5364901 153 -189.4797760 -189.4797760 154 -184.4522280 -189.4797760 155 -306.5294014 -184.4522280 156 -189.4797760 -306.5294014 157 -202.5732070 -189.4797760 158 -109.1607589 -202.5732070 159 -127.9586276 -109.1607589 160 -192.6359083 -127.9586276 161 -87.5343904 -192.6359083 162 -175.1861061 -87.5343904 163 -126.7530736 -175.1861061 164 NA -126.7530736 > dum1 <- dum[2:length(myerror),] > dum1 lag(myerror, k = 1) myerror [1,] -558.1417104 -638.5374002 [2,] -116.3249515 -558.1417104 [3,] 551.6169549 -116.3249515 [4,] -358.0563376 551.6169549 [5,] -171.1017745 -358.0563376 [6,] 441.0633702 -171.1017745 [7,] -118.4615415 441.0633702 [8,] 103.7607653 -118.4615415 [9,] -241.5974481 103.7607653 [10,] -772.1312203 -241.5974481 [11,] -238.7795121 -772.1312203 [12,] 60.2690560 -238.7795121 [13,] -119.1373646 60.2690560 [14,] -182.0685364 -119.1373646 [15,] 1375.2873062 -182.0685364 [16,] -510.4483987 1375.2873062 [17,] -374.8607257 -510.4483987 [18,] -223.7617532 -374.8607257 [19,] -38.1416694 -223.7617532 [20,] 86.8141430 -38.1416694 [21,] -1122.7152188 86.8141430 [22,] -239.3180642 -1122.7152188 [23,] -49.5469027 -239.3180642 [24,] 1256.2947264 -49.5469027 [25,] 454.7296681 1256.2947264 [26,] 208.7602050 454.7296681 [27,] -544.3457141 208.7602050 [28,] 0.5036149 -544.3457141 [29,] -77.1792229 0.5036149 [30,] -172.2615123 -77.1792229 [31,] -238.9697886 -172.2615123 [32,] -839.9910878 -238.9697886 [33,] -14.4387637 -839.9910878 [34,] -83.4515481 -14.4387637 [35,] 410.2314396 -83.4515481 [36,] 25.1281358 410.2314396 [37,] -284.1119287 25.1281358 [38,] -185.9778608 -284.1119287 [39,] -78.3762971 -185.9778608 [40,] 431.1433660 -78.3762971 [41,] 3.0904523 431.1433660 [42,] -124.4744942 3.0904523 [43,] 69.8022352 -124.4744942 [44,] 1060.6372226 69.8022352 [45,] 1505.8538161 1060.6372226 [46,] 4.6606237 1505.8538161 [47,] 351.7958432 4.6606237 [48,] 860.6545079 351.7958432 [49,] 742.3897269 860.6545079 [50,] -69.4887861 742.3897269 [51,] 40.8629834 -69.4887861 [52,] -1638.3676608 40.8629834 [53,] 26.2657973 -1638.3676608 [54,] 3.2563008 26.2657973 [55,] 681.5672415 3.2563008 [56,] -242.7515009 681.5672415 [57,] 370.5968748 -242.7515009 [58,] -634.0833330 370.5968748 [59,] -131.5211361 -634.0833330 [60,] 485.7668434 -131.5211361 [61,] 360.5236612 485.7668434 [62,] 388.3082325 360.5236612 [63,] 219.4536380 388.3082325 [64,] -716.6791963 219.4536380 [65,] -257.1831921 -716.6791963 [66,] -135.2907701 -257.1831921 [67,] 364.2642979 -135.2907701 [68,] 148.1898323 364.2642979 [69,] -37.2296105 148.1898323 [70,] 376.3836723 -37.2296105 [71,] 55.9543378 376.3836723 [72,] -98.2745154 55.9543378 [73,] 138.5196407 -98.2745154 [74,] 131.5707152 138.5196407 [75,] -812.5960158 131.5707152 [76,] -197.8913367 -812.5960158 [77,] -210.8915885 -197.8913367 [78,] 398.3095378 -210.8915885 [79,] 114.1730816 398.3095378 [80,] 285.3310517 114.1730816 [81,] 92.9742741 285.3310517 [82,] -128.5880059 92.9742741 [83,] -263.2125073 -128.5880059 [84,] 7.8946129 -263.2125073 [85,] 720.4827352 7.8946129 [86,] -131.5042647 720.4827352 [87,] 37.2520279 -131.5042647 [88,] -197.7406758 37.2520279 [89,] 1210.8441719 -197.7406758 [90,] -108.0443496 1210.8441719 [91,] -189.3415760 -108.0443496 [92,] 60.0365030 -189.3415760 [93,] 647.4235531 60.0365030 [94,] -277.7712936 647.4235531 [95,] 65.1003800 -277.7712936 [96,] -374.5412925 65.1003800 [97,] -495.4737569 -374.5412925 [98,] 413.6370177 -495.4737569 [99,] 455.8668017 413.6370177 [100,] -12.5202642 455.8668017 [101,] -261.1662435 -12.5202642 [102,] -162.3858587 -261.1662435 [103,] 50.3821700 -162.3858587 [104,] 358.5562585 50.3821700 [105,] -94.2584807 358.5562585 [106,] 383.9173582 -94.2584807 [107,] -60.1098165 383.9173582 [108,] -465.0849819 -60.1098165 [109,] 1506.1006122 -465.0849819 [110,] -901.5345750 1506.1006122 [111,] -366.9295849 -901.5345750 [112,] -8.4016724 -366.9295849 [113,] 337.4343282 -8.4016724 [114,] -196.5157608 337.4343282 [115,] 87.5708711 -196.5157608 [116,] -573.5785745 87.5708711 [117,] -14.5802080 -573.5785745 [118,] -50.9781272 -14.5802080 [119,] -10.5025608 -50.9781272 [120,] 600.1467005 -10.5025608 [121,] -86.7183524 600.1467005 [122,] -103.0926167 -86.7183524 [123,] 206.5113514 -103.0926167 [124,] -25.8576261 206.5113514 [125,] 202.4905319 -25.8576261 [126,] -243.0829235 202.4905319 [127,] -491.3430530 -243.0829235 [128,] 228.0826752 -491.3430530 [129,] -493.9348828 228.0826752 [130,] -341.9126506 -493.9348828 [131,] -333.5864089 -341.9126506 [132,] 91.2972722 -333.5864089 [133,] -774.9253187 91.2972722 [134,] 266.9611386 -774.9253187 [135,] 287.6644080 266.9611386 [136,] 707.3582047 287.6644080 [137,] 320.8400909 707.3582047 [138,] -431.2506105 320.8400909 [139,] -32.6825504 -431.2506105 [140,] -328.0477657 -32.6825504 [141,] 685.0199050 -328.0477657 [142,] 33.0690602 685.0199050 [143,] 368.7816811 33.0690602 [144,] 166.8584479 368.7816811 [145,] 300.0103541 166.8584479 [146,] 321.8081146 300.0103541 [147,] -109.7660628 321.8081146 [148,] -187.4868764 -109.7660628 [149,] -125.9008637 -187.4868764 [150,] -189.0886286 -125.9008637 [151,] -192.5364901 -189.0886286 [152,] -189.4797760 -192.5364901 [153,] -189.4797760 -189.4797760 [154,] -184.4522280 -189.4797760 [155,] -306.5294014 -184.4522280 [156,] -189.4797760 -306.5294014 [157,] -202.5732070 -189.4797760 [158,] -109.1607589 -202.5732070 [159,] -127.9586276 -109.1607589 [160,] -192.6359083 -127.9586276 [161,] -87.5343904 -192.6359083 [162,] -175.1861061 -87.5343904 [163,] -126.7530736 -175.1861061 > z <- as.data.frame(dum1) > z lag(myerror, k = 1) myerror 1 -558.1417104 -638.5374002 2 -116.3249515 -558.1417104 3 551.6169549 -116.3249515 4 -358.0563376 551.6169549 5 -171.1017745 -358.0563376 6 441.0633702 -171.1017745 7 -118.4615415 441.0633702 8 103.7607653 -118.4615415 9 -241.5974481 103.7607653 10 -772.1312203 -241.5974481 11 -238.7795121 -772.1312203 12 60.2690560 -238.7795121 13 -119.1373646 60.2690560 14 -182.0685364 -119.1373646 15 1375.2873062 -182.0685364 16 -510.4483987 1375.2873062 17 -374.8607257 -510.4483987 18 -223.7617532 -374.8607257 19 -38.1416694 -223.7617532 20 86.8141430 -38.1416694 21 -1122.7152188 86.8141430 22 -239.3180642 -1122.7152188 23 -49.5469027 -239.3180642 24 1256.2947264 -49.5469027 25 454.7296681 1256.2947264 26 208.7602050 454.7296681 27 -544.3457141 208.7602050 28 0.5036149 -544.3457141 29 -77.1792229 0.5036149 30 -172.2615123 -77.1792229 31 -238.9697886 -172.2615123 32 -839.9910878 -238.9697886 33 -14.4387637 -839.9910878 34 -83.4515481 -14.4387637 35 410.2314396 -83.4515481 36 25.1281358 410.2314396 37 -284.1119287 25.1281358 38 -185.9778608 -284.1119287 39 -78.3762971 -185.9778608 40 431.1433660 -78.3762971 41 3.0904523 431.1433660 42 -124.4744942 3.0904523 43 69.8022352 -124.4744942 44 1060.6372226 69.8022352 45 1505.8538161 1060.6372226 46 4.6606237 1505.8538161 47 351.7958432 4.6606237 48 860.6545079 351.7958432 49 742.3897269 860.6545079 50 -69.4887861 742.3897269 51 40.8629834 -69.4887861 52 -1638.3676608 40.8629834 53 26.2657973 -1638.3676608 54 3.2563008 26.2657973 55 681.5672415 3.2563008 56 -242.7515009 681.5672415 57 370.5968748 -242.7515009 58 -634.0833330 370.5968748 59 -131.5211361 -634.0833330 60 485.7668434 -131.5211361 61 360.5236612 485.7668434 62 388.3082325 360.5236612 63 219.4536380 388.3082325 64 -716.6791963 219.4536380 65 -257.1831921 -716.6791963 66 -135.2907701 -257.1831921 67 364.2642979 -135.2907701 68 148.1898323 364.2642979 69 -37.2296105 148.1898323 70 376.3836723 -37.2296105 71 55.9543378 376.3836723 72 -98.2745154 55.9543378 73 138.5196407 -98.2745154 74 131.5707152 138.5196407 75 -812.5960158 131.5707152 76 -197.8913367 -812.5960158 77 -210.8915885 -197.8913367 78 398.3095378 -210.8915885 79 114.1730816 398.3095378 80 285.3310517 114.1730816 81 92.9742741 285.3310517 82 -128.5880059 92.9742741 83 -263.2125073 -128.5880059 84 7.8946129 -263.2125073 85 720.4827352 7.8946129 86 -131.5042647 720.4827352 87 37.2520279 -131.5042647 88 -197.7406758 37.2520279 89 1210.8441719 -197.7406758 90 -108.0443496 1210.8441719 91 -189.3415760 -108.0443496 92 60.0365030 -189.3415760 93 647.4235531 60.0365030 94 -277.7712936 647.4235531 95 65.1003800 -277.7712936 96 -374.5412925 65.1003800 97 -495.4737569 -374.5412925 98 413.6370177 -495.4737569 99 455.8668017 413.6370177 100 -12.5202642 455.8668017 101 -261.1662435 -12.5202642 102 -162.3858587 -261.1662435 103 50.3821700 -162.3858587 104 358.5562585 50.3821700 105 -94.2584807 358.5562585 106 383.9173582 -94.2584807 107 -60.1098165 383.9173582 108 -465.0849819 -60.1098165 109 1506.1006122 -465.0849819 110 -901.5345750 1506.1006122 111 -366.9295849 -901.5345750 112 -8.4016724 -366.9295849 113 337.4343282 -8.4016724 114 -196.5157608 337.4343282 115 87.5708711 -196.5157608 116 -573.5785745 87.5708711 117 -14.5802080 -573.5785745 118 -50.9781272 -14.5802080 119 -10.5025608 -50.9781272 120 600.1467005 -10.5025608 121 -86.7183524 600.1467005 122 -103.0926167 -86.7183524 123 206.5113514 -103.0926167 124 -25.8576261 206.5113514 125 202.4905319 -25.8576261 126 -243.0829235 202.4905319 127 -491.3430530 -243.0829235 128 228.0826752 -491.3430530 129 -493.9348828 228.0826752 130 -341.9126506 -493.9348828 131 -333.5864089 -341.9126506 132 91.2972722 -333.5864089 133 -774.9253187 91.2972722 134 266.9611386 -774.9253187 135 287.6644080 266.9611386 136 707.3582047 287.6644080 137 320.8400909 707.3582047 138 -431.2506105 320.8400909 139 -32.6825504 -431.2506105 140 -328.0477657 -32.6825504 141 685.0199050 -328.0477657 142 33.0690602 685.0199050 143 368.7816811 33.0690602 144 166.8584479 368.7816811 145 300.0103541 166.8584479 146 321.8081146 300.0103541 147 -109.7660628 321.8081146 148 -187.4868764 -109.7660628 149 -125.9008637 -187.4868764 150 -189.0886286 -125.9008637 151 -192.5364901 -189.0886286 152 -189.4797760 -192.5364901 153 -189.4797760 -189.4797760 154 -184.4522280 -189.4797760 155 -306.5294014 -184.4522280 156 -189.4797760 -306.5294014 157 -202.5732070 -189.4797760 158 -109.1607589 -202.5732070 159 -127.9586276 -109.1607589 160 -192.6359083 -127.9586276 161 -87.5343904 -192.6359083 162 -175.1861061 -87.5343904 163 -126.7530736 -175.1861061 > 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/7p7z31324655342.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/8l9v31324655342.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/9micx1324655342.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/10bg261324655342.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$coefficients)[i] != 't') myeq <- paste(myeq, '[t]', sep='') + } + } > myeq <- paste(myeq, ' + e[t]') > a<-table.row.start(a) > a<-table.element(a, myeq) > a<-table.row.end(a) > a<-table.end(a) > table.save(a,file="/var/wessaorg/rcomp/tmp/110dlq1324655342.tab") > a<-table.start() > a<-table.row.start(a) > a<-table.element(a,hyperlink('http://www.xycoon.com/ols1.htm','Multiple Linear Regression - Ordinary Least Squares',''), 6, TRUE) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a,'Variable',header=TRUE) > a<-table.element(a,'Parameter',header=TRUE) > a<-table.element(a,'S.D.',header=TRUE) > a<-table.element(a,'T-STAT
H0: parameter = 0',header=TRUE) > a<-table.element(a,'2-tail p-value',header=TRUE) > a<-table.element(a,'1-tail p-value',header=TRUE) > a<-table.row.end(a) > for (i in 1:k){ + a<-table.row.start(a) + a<-table.element(a,rownames(mysum$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$coefficients[i,4]/2,6)) + a<-table.row.end(a) + } > a<-table.end(a) > table.save(a,file="/var/wessaorg/rcomp/tmp/12gpk71324655342.tab") > a<-table.start() > a<-table.row.start(a) > a<-table.element(a, 'Multiple Linear Regression - Regression Statistics', 2, TRUE) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'Multiple R',1,TRUE) > a<-table.element(a, sqrt(mysum$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$sigma) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'Sum Squared Residuals',1,TRUE) > a<-table.element(a, sum(myerror*myerror)) > a<-table.row.end(a) > a<-table.end(a) > table.save(a,file="/var/wessaorg/rcomp/tmp/13qvwu1324655342.tab") > a<-table.start() > a<-table.row.start(a) > a<-table.element(a, 'Multiple Linear Regression - Actuals, Interpolation, and Residuals', 4, TRUE) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'Time or Index', 1, TRUE) > a<-table.element(a, 'Actuals', 1, TRUE) > a<-table.element(a, 'Interpolation
Forecast', 1, TRUE) > a<-table.element(a, 'Residuals
Prediction Error', 1, TRUE) > a<-table.row.end(a) > for (i in 1:n) { + a<-table.row.start(a) + a<-table.element(a,i, 1, TRUE) + a<-table.element(a,x[i]) + a<-table.element(a,x[i]-mysum$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/14hpo61324655342.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/15xoai1324655342.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/16x6lj1324655342.tab") + } > > try(system("convert tmp/1hcm91324655342.ps tmp/1hcm91324655342.png",intern=TRUE)) character(0) > try(system("convert tmp/2bs451324655342.ps tmp/2bs451324655342.png",intern=TRUE)) character(0) > try(system("convert tmp/3vjae1324655342.ps tmp/3vjae1324655342.png",intern=TRUE)) character(0) > try(system("convert tmp/4p34u1324655342.ps tmp/4p34u1324655342.png",intern=TRUE)) character(0) > try(system("convert tmp/5q1ap1324655342.ps tmp/5q1ap1324655342.png",intern=TRUE)) character(0) > try(system("convert tmp/63ltu1324655342.ps tmp/63ltu1324655342.png",intern=TRUE)) character(0) > try(system("convert tmp/7p7z31324655342.ps tmp/7p7z31324655342.png",intern=TRUE)) character(0) > try(system("convert tmp/8l9v31324655342.ps tmp/8l9v31324655342.png",intern=TRUE)) character(0) > try(system("convert tmp/9micx1324655342.ps tmp/9micx1324655342.png",intern=TRUE)) character(0) > try(system("convert tmp/10bg261324655342.ps tmp/10bg261324655342.png",intern=TRUE)) character(0) > > > proc.time() user system elapsed 4.801 0.717 5.525