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Type 'q()' to quit R. > x <- array(list(13.193 + ,651 + ,3.063 + ,5.951 + ,15.234 + ,736 + ,3.547 + ,6.789 + ,14.718 + ,878 + ,3.240 + ,6.302 + ,16.961 + ,916 + ,3.708 + ,6.961 + ,13.945 + ,724 + ,3.337 + ,6.162 + ,15.876 + ,841 + ,4.104 + ,7.534 + ,16.226 + ,1.028 + ,4.846 + ,7.462 + ,18.316 + ,994 + ,4.590 + ,8.894 + ,16.748 + ,855 + ,3.917 + ,7.734 + ,17.904 + ,889 + ,4.376 + ,8.968 + ,17.209 + ,1.117 + ,4.312 + ,8.383 + ,18.950 + ,1.132 + ,4.941 + ,9.790 + ,17.225 + ,899 + ,4.659 + ,9.656 + ,18.710 + ,944 + ,5.227 + ,10.440 + ,17.236 + ,1.167 + ,4.933 + ,9.820 + ,18.687 + ,1.089 + ,5.381 + ,10.947 + ,17.580 + ,970 + ,5.472 + ,10.439 + ,19.568 + ,1.151 + ,6.405 + ,12.289 + ,17.381 + ,1.246 + ,5.622 + ,11.303 + ,19.580 + ,1.583 + ,6.229 + ,12.240 + ,17.260 + ,1.120 + ,5.671 + ,11.392 + ,18.661 + ,1.063 + ,5.606 + ,11.120 + ,15.658 + ,1.015 + ,4.516 + ,9.597 + ,18.674 + ,1.175 + ,5.483 + ,10.692 + ,15.908 + ,882 + ,4.985 + ,9.217 + ,17.475 + ,911 + ,5.332 + ,9.371 + ,17.725 + ,1.076 + ,5.377 + ,9.526 + ,19.562 + ,1.147 + ,5.948 + ,10.837 + ,16.368 + ,946 + ,5.308 + ,9.749 + ,19.555 + ,1.032 + ,6.721 + ,9.939 + ,17.743 + ,1.090 + ,5.840 + ,9.309 + ,19.867 + ,1.131 + ,6.152 + ,10.316 + ,15.703 + ,870 + ,5.184 + ,8.546 + ,19.324 + ,1.113 + ,6.610 + ,9.885 + ,18.162 + ,1.172 + ,6.417 + ,9.266 + ,19.074 + ,1.147 + ,6.529 + ,9.978 + ,15.323 + ,891 + ,5.412 + ,8.685 + ,19.704 + ,1.036 + ,6.807 + ,10.066 + ,18.375 + ,1.204 + ,6.817 + ,9.668 + ,18.352 + ,1.055 + ,6.582 + ,9.562 + ,13.927 + ,771 + ,5.019 + ,7.894 + ,17.795 + ,938 + ,5.935 + ,7.949 + ,16.761 + ,995 + ,5.548 + ,7.594 + ,18.902 + ,1.088 + ,6.141 + ,8.563 + ,16.239 + ,1.076 + ,6.040 + ,8.061 + ,19.158 + ,1.370 + ,7.587 + ,8.831 + ,18.279 + ,1.560 + ,6.460 + ,8.593 + ,15.698 + ,1.239 + ,6.355 + ,7.031 + ,16.239 + ,1.076 + ,6.040 + ,8.061 + ,18.431 + ,1.566 + ,7.117 + ,8.569 + ,18.414 + ,1.651 + ,6.912 + ,8.234 + ,19.801 + ,1.792 + ,8.212 + ,8.895 + ,14.995 + ,1.306 + ,6.274 + ,7.104 + ,18.706 + ,1.665 + ,7.510 + ,7.580 + ,18.232 + ,1.930 + ,7.133 + ,7.421 + ,19.409 + ,1.717 + ,7.748 + ,7.883 + ,16.263 + ,1.353 + ,6.957 + ,6.700 + ,19.017 + ,1.666 + ,8.260 + ,7.305 + ,20.298 + ,2.070 + ,8.745 + ,8.047 + ,19.891 + ,2.168 + ,8.440 + ,8.305 + ,15.203 + ,1.518 + ,6.573 + ,6.255 + ,17.845 + ,1.737 + ,7.668 + ,6.896 + ,17.502 + ,2.348 + ,7.865 + ,6.759 + ,18.532 + ,2.374 + ,7.941 + ,7.265 + ,15.737 + ,2.004 + ,7.907 + ,6.093 + ,17.770 + ,2.186 + ,8.470 + ,6.326 + ,17.224 + ,2.428 + ,8.347 + ,5.956 + ,17.601 + ,2.149 + ,8.080 + ,5.647 + ,14.940 + ,2.184 + ,7.676 + ,4.955 + ,18.507 + ,2.585 + ,9.214 + ,5.703 + ,17.635 + ,2.528 + ,8.674 + ,5.352 + ,19.392 + ,2.659 + ,9.170 + ,5.578 + ,15.699 + ,2.152 + ,8.217 + ,4.649 + ,17.661 + ,2.401 + ,9.102 + ,5.122 + ,18.243 + ,2.848 + ,9.391 + ,5.278 + ,19.643 + ,3.282 + ,10.301 + ,6.193 + ,15.770 + ,2.572 + ,9.081 + ,5.036 + ,17.344 + ,2.985 + ,9.771 + ,5.472 + ,17.229 + ,3.477 + ,9.778 + ,5.649 + ,17.322 + ,3.336 + ,10.256 + ,5.678 + ,16.152 + ,3.668 + ,7.022 + ,6.382 + ,17.919 + ,4.210 + ,8.307 + ,7.225 + ,16.918 + ,4.161 + ,7.942 + ,6.161 + ,18.114 + ,4.572 + ,9.643 + ,7.145 + ,16.308 + ,3.886 + ,8.561 + ,6.745 + ,17.759 + ,4.165 + ,9.162 + ,6.840 + ,16.021 + ,4.048 + ,8.579 + ,5.898 + ,17.952 + ,4.595 + ,10.054 + ,6.408 + ,15.954 + ,3.886 + ,9.367 + ,5.540 + ,17.762 + ,4.345 + ,10.714 + ,5.859 + ,16.610 + ,4.424 + ,9.726 + ,5.429 + ,17.751 + ,4.513 + ,10.460 + ,5.950 + ,15.458 + ,3.773 + ,9.611 + ,4.924 + ,18.106 + ,4.368 + ,11.436 + ,5.688 + ,15.990 + ,4.218 + ,9.620 + ,4.710 + ,15.349 + ,4.040 + ,9.378 + ,4.555 + ,13.185 + ,3.225 + ,7.856 + ,3.792 + ,15.409 + ,3.861 + ,9.079 + ,4.265 + ,16.007 + ,4.323 + ,9.279 + ,4.345 + ,16.633 + ,4.602 + ,10.345 + ,5.062 + ,14.800 + ,3.909 + ,9.281 + ,4.312 + ,15.974 + ,4.212 + ,10.047 + ,4.582 + ,15.693 + ,4.328 + ,9.352 + ,4.229) + ,dim=c(4 + ,103) + ,dimnames=list(c('huis' + ,'villa' + ,'app' + ,'grond') + ,1:103)) > y <- array(NA,dim=c(4,103),dimnames=list(c('huis','villa','app','grond'),1:103)) > 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' > #'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 huis villa app grond 1 13.193 651.000 3.063 5.951 2 15.234 736.000 3.547 6.789 3 14.718 878.000 3.240 6.302 4 16.961 916.000 3.708 6.961 5 13.945 724.000 3.337 6.162 6 15.876 841.000 4.104 7.534 7 16.226 1.028 4.846 7.462 8 18.316 994.000 4.590 8.894 9 16.748 855.000 3.917 7.734 10 17.904 889.000 4.376 8.968 11 17.209 1.117 4.312 8.383 12 18.950 1.132 4.941 9.790 13 17.225 899.000 4.659 9.656 14 18.710 944.000 5.227 10.440 15 17.236 1.167 4.933 9.820 16 18.687 1.089 5.381 10.947 17 17.580 970.000 5.472 10.439 18 19.568 1.151 6.405 12.289 19 17.381 1.246 5.622 11.303 20 19.580 1.583 6.229 12.240 21 17.260 1.120 5.671 11.392 22 18.661 1.063 5.606 11.120 23 15.658 1.015 4.516 9.597 24 18.674 1.175 5.483 10.692 25 15.908 882.000 4.985 9.217 26 17.475 911.000 5.332 9.371 27 17.725 1.076 5.377 9.526 28 19.562 1.147 5.948 10.837 29 16.368 946.000 5.308 9.749 30 19.555 1.032 6.721 9.939 31 17.743 1.090 5.840 9.309 32 19.867 1.131 6.152 10.316 33 15.703 870.000 5.184 8.546 34 19.324 1.113 6.610 9.885 35 18.162 1.172 6.417 9.266 36 19.074 1.147 6.529 9.978 37 15.323 891.000 5.412 8.685 38 19.704 1.036 6.807 10.066 39 18.375 1.204 6.817 9.668 40 18.352 1.055 6.582 9.562 41 13.927 771.000 5.019 7.894 42 17.795 938.000 5.935 7.949 43 16.761 995.000 5.548 7.594 44 18.902 1.088 6.141 8.563 45 16.239 1.076 6.040 8.061 46 19.158 1.370 7.587 8.831 47 18.279 1.560 6.460 8.593 48 15.698 1.239 6.355 7.031 49 16.239 1.076 6.040 8.061 50 18.431 1.566 7.117 8.569 51 18.414 1.651 6.912 8.234 52 19.801 1.792 8.212 8.895 53 14.995 1.306 6.274 7.104 54 18.706 1.665 7.510 7.580 55 18.232 1.930 7.133 7.421 56 19.409 1.717 7.748 7.883 57 16.263 1.353 6.957 6.700 58 19.017 1.666 8.260 7.305 59 20.298 2.070 8.745 8.047 60 19.891 2.168 8.440 8.305 61 15.203 1.518 6.573 6.255 62 17.845 1.737 7.668 6.896 63 17.502 2.348 7.865 6.759 64 18.532 2.374 7.941 7.265 65 15.737 2.004 7.907 6.093 66 17.770 2.186 8.470 6.326 67 17.224 2.428 8.347 5.956 68 17.601 2.149 8.080 5.647 69 14.940 2.184 7.676 4.955 70 18.507 2.585 9.214 5.703 71 17.635 2.528 8.674 5.352 72 19.392 2.659 9.170 5.578 73 15.699 2.152 8.217 4.649 74 17.661 2.401 9.102 5.122 75 18.243 2.848 9.391 5.278 76 19.643 3.282 10.301 6.193 77 15.770 2.572 9.081 5.036 78 17.344 2.985 9.771 5.472 79 17.229 3.477 9.778 5.649 80 17.322 3.336 10.256 5.678 81 16.152 3.668 7.022 6.382 82 17.919 4.210 8.307 7.225 83 16.918 4.161 7.942 6.161 84 18.114 4.572 9.643 7.145 85 16.308 3.886 8.561 6.745 86 17.759 4.165 9.162 6.840 87 16.021 4.048 8.579 5.898 88 17.952 4.595 10.054 6.408 89 15.954 3.886 9.367 5.540 90 17.762 4.345 10.714 5.859 91 16.610 4.424 9.726 5.429 92 17.751 4.513 10.460 5.950 93 15.458 3.773 9.611 4.924 94 18.106 4.368 11.436 5.688 95 15.990 4.218 9.620 4.710 96 15.349 4.040 9.378 4.555 97 13.185 3.225 7.856 3.792 98 15.409 3.861 9.079 4.265 99 16.007 4.323 9.279 4.345 100 16.633 4.602 10.345 5.062 101 14.800 3.909 9.281 4.312 102 15.974 4.212 10.047 4.582 103 15.693 4.328 9.352 4.229 > k <- length(x[1,]) > df <- as.data.frame(x) > (mylm <- lm(df)) Call: lm(formula = df) Coefficients: (Intercept) villa app grond 7.537e+00 -7.668e-05 5.749e-01 7.517e-01 > (mysum <- summary(mylm)) Call: lm(formula = df) Residuals: Min 1Q Median 3Q Max -2.3698 -0.7360 -0.1012 0.7011 2.3909 Coefficients: Estimate Std. Error t value Pr(>|t|) (Intercept) 7.537e+00 9.859e-01 7.645 1.37e-11 *** villa -7.668e-05 3.707e-04 -0.207 0.837 app 5.749e-01 8.005e-02 7.181 1.30e-10 *** grond 7.517e-01 6.302e-02 11.927 < 2e-16 *** --- Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 Residual standard error: 0.995 on 99 degrees of freedom Multiple R-squared: 0.6202, Adjusted R-squared: 0.6087 F-statistic: 53.89 on 3 and 99 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,] 0.4552028 9.104055e-01 5.447972e-01 [2,] 0.3029212 6.058423e-01 6.970788e-01 [3,] 0.2314292 4.628584e-01 7.685708e-01 [4,] 0.1498386 2.996773e-01 8.501614e-01 [5,] 0.1608802 3.217603e-01 8.391198e-01 [6,] 0.1045788 2.091577e-01 8.954212e-01 [7,] 0.3237643 6.475286e-01 6.762357e-01 [8,] 0.3107251 6.214501e-01 6.892749e-01 [9,] 0.3334154 6.668309e-01 6.665846e-01 [10,] 0.2700512 5.401023e-01 7.299488e-01 [11,] 0.3947418 7.894837e-01 6.052582e-01 [12,] 0.3688018 7.376036e-01 6.311982e-01 [13,] 0.5469925 9.060149e-01 4.530075e-01 [14,] 0.4963082 9.926164e-01 5.036918e-01 [15,] 0.6865601 6.268797e-01 3.134399e-01 [16,] 0.6380879 7.238243e-01 3.619121e-01 [17,] 0.7043780 5.912441e-01 2.956220e-01 [18,] 0.6669478 6.661044e-01 3.330522e-01 [19,] 0.7760858 4.478284e-01 2.239142e-01 [20,] 0.7294145 5.411710e-01 2.705855e-01 [21,] 0.6756895 6.486211e-01 3.243105e-01 [22,] 0.6685324 6.629352e-01 3.314676e-01 [23,] 0.7442561 5.114878e-01 2.557439e-01 [24,] 0.7078357 5.843285e-01 2.921643e-01 [25,] 0.6600735 6.798530e-01 3.399265e-01 [26,] 0.6634549 6.730903e-01 3.365451e-01 [27,] 0.7213277 5.573446e-01 2.786723e-01 [28,] 0.6723434 6.553131e-01 3.276566e-01 [29,] 0.6277861 7.444278e-01 3.722139e-01 [30,] 0.5753037 8.493926e-01 4.246963e-01 [31,] 0.7354974 5.290053e-01 2.645026e-01 [32,] 0.7007656 5.984688e-01 2.992344e-01 [33,] 0.6942857 6.114287e-01 3.057143e-01 [34,] 0.6724541 6.550917e-01 3.275459e-01 [35,] 0.9154441 1.691118e-01 8.455590e-02 [36,] 0.9022212 1.955577e-01 9.777885e-02 [37,] 0.9761594 4.768110e-02 2.384055e-02 [38,] 0.9785295 4.294103e-02 2.147052e-02 [39,] 0.9840883 3.182349e-02 1.591174e-02 [40,] 0.9795569 4.088617e-02 2.044309e-02 [41,] 0.9715720 5.685600e-02 2.842800e-02 [42,] 0.9777819 4.443613e-02 2.221807e-02 [43,] 0.9844101 3.117975e-02 1.558987e-02 [44,] 0.9802141 3.957176e-02 1.978588e-02 [45,] 0.9730505 5.389900e-02 2.694950e-02 [46,] 0.9691998 6.160045e-02 3.080022e-02 [47,] 0.9935013 1.299737e-02 6.498684e-03 [48,] 0.9912460 1.750808e-02 8.754040e-03 [49,] 0.9883328 2.333449e-02 1.166725e-02 [50,] 0.9859130 2.817394e-02 1.408697e-02 [51,] 0.9875994 2.480111e-02 1.240055e-02 [52,] 0.9826124 3.477515e-02 1.738758e-02 [53,] 0.9784071 4.318585e-02 2.159292e-02 [54,] 0.9704634 5.907315e-02 2.953657e-02 [55,] 0.9823374 3.532515e-02 1.766258e-02 [56,] 0.9752365 4.952707e-02 2.476353e-02 [57,] 0.9666773 6.664541e-02 3.332271e-02 [58,] 0.9538310 9.233796e-02 4.616898e-02 [59,] 0.9853517 2.929658e-02 1.464829e-02 [60,] 0.9802485 3.950303e-02 1.975151e-02 [61,] 0.9728380 5.432409e-02 2.716205e-02 [62,] 0.9645476 7.090487e-02 3.545243e-02 [63,] 0.9752350 4.953004e-02 2.476502e-02 [64,] 0.9698456 6.030871e-02 3.015436e-02 [65,] 0.9630300 7.393996e-02 3.696998e-02 [66,] 0.9947754 1.044911e-02 5.224555e-03 [67,] 0.9924138 1.517245e-02 7.586223e-03 [68,] 0.9929736 1.405282e-02 7.026410e-03 [69,] 0.9985284 2.943221e-03 1.471610e-03 [70,] 0.9999513 9.745197e-05 4.872599e-05 [71,] 0.9999270 1.459988e-04 7.299938e-05 [72,] 0.9999684 6.312000e-05 3.156000e-05 [73,] 0.9999790 4.203948e-05 2.101974e-05 [74,] 0.9999984 3.255631e-06 1.627815e-06 [75,] 0.9999978 4.449199e-06 2.224600e-06 [76,] 0.9999971 5.841979e-06 2.920990e-06 [77,] 0.9999992 1.556740e-06 7.783698e-07 [78,] 0.9999976 4.708310e-06 2.354155e-06 [79,] 0.9999965 7.012179e-06 3.506090e-06 [80,] 0.9999962 7.584877e-06 3.792439e-06 [81,] 0.9999873 2.546785e-05 1.273393e-05 [82,] 0.9999575 8.499547e-05 4.249774e-05 [83,] 0.9998728 2.544847e-04 1.272424e-04 [84,] 0.9996619 6.762488e-04 3.381244e-04 [85,] 0.9990086 1.982895e-03 9.914477e-04 [86,] 0.9971438 5.712495e-03 2.856248e-03 [87,] 0.9922553 1.548942e-02 7.744710e-03 [88,] 0.9934983 1.300334e-02 6.501670e-03 [89,] 0.9805204 3.895928e-02 1.947964e-02 [90,] 0.9364766 1.270468e-01 6.352341e-02 > postscript(file="/var/www/rcomp/tmp/1l8ws1292682070.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$resid) > grid() > dev.off() null device 1 > postscript(file="/var/www/rcomp/tmp/2dzvv1292682070.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > plot(mysum$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/3dzvv1292682070.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > hist(mysum$resid, main='Residual Histogram', xlab='values of Residuals') > grid() > dev.off() null device 1 > postscript(file="/var/www/rcomp/tmp/4dzvv1292682070.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > densityplot(~mysum$resid,col='black',main='Residual Density Plot', xlab='values of Residuals') > dev.off() null device 1 > postscript(file="/var/www/rcomp/tmp/5o9vy1292682070.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 = 103 Frequency = 1 1 2 3 4 5 6 -0.52802719 0.61136092 0.64879367 2.13032268 -0.08654570 0.38122077 7 8 9 10 11 12 0.29437422 1.53130789 1.21146466 1.17865765 0.89208845 1.21390971 13 14 15 16 17 18 -0.17940620 0.39321467 -0.51803833 -0.17170735 -0.87488485 -0.88810104 19 20 21 22 23 24 -1.88383075 -0.73805838 -2.09990691 -0.45709339 -1.68870671 -0.05166546 25 26 27 28 29 30 -1.35514180 -0.10115565 -0.06330320 0.46002435 -1.47580150 0.68362447 31 32 33 34 35 36 -0.14836032 1.03936195 -1.17110006 0.55703151 -0.02873662 0.28369497 37 38 39 40 41 42 -1.78504214 0.68772485 -0.34785126 -0.15609094 -2.36975568 0.94312129 43 44 45 46 47 48 0.40280772 1.39833830 -0.82926788 0.62164391 0.56943909 -0.77713409 49 50 51 52 53 54 -0.82926788 0.36178533 0.71444691 0.85727222 -1.48843495 1.15425587 55 56 57 58 59 60 1.01651829 1.49268690 -0.30940242 1.24080428 1.68529000 1.25970722 61 62 63 64 65 66 -0.81414942 0.71656475 0.36333800 0.96931055 -0.92522915 0.60899296 67 68 69 70 71 72 0.41183471 1.17456764 -0.73403232 1.38659804 1.08885896 2.39085551 73 74 75 76 77 78 -0.05603582 1.04168327 1.34031956 1.52944820 -0.77258865 0.07705531 79 80 81 82 83 84 -0.17497452 -0.37857448 -0.21856474 0.17611276 0.18470283 -0.33676217 85 86 87 88 89 90 -1.22013506 -0.18602206 -0.88081632 -0.18106299 -1.13173813 -0.33784070 91 92 93 94 95 96 -0.59864361 -0.27120998 -1.30499555 -0.28036646 -0.61728057 -1.00266710 97 98 99 100 101 102 -1.71825237 -0.55281194 -0.12988448 -0.65562027 -1.31326127 -0.78254120 103 -0.39865780 > postscript(file="/var/www/rcomp/tmp/6o9vy1292682070.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 = 103 Frequency = 1 lag(myerror, k = 1) myerror 0 -0.52802719 NA 1 0.61136092 -0.52802719 2 0.64879367 0.61136092 3 2.13032268 0.64879367 4 -0.08654570 2.13032268 5 0.38122077 -0.08654570 6 0.29437422 0.38122077 7 1.53130789 0.29437422 8 1.21146466 1.53130789 9 1.17865765 1.21146466 10 0.89208845 1.17865765 11 1.21390971 0.89208845 12 -0.17940620 1.21390971 13 0.39321467 -0.17940620 14 -0.51803833 0.39321467 15 -0.17170735 -0.51803833 16 -0.87488485 -0.17170735 17 -0.88810104 -0.87488485 18 -1.88383075 -0.88810104 19 -0.73805838 -1.88383075 20 -2.09990691 -0.73805838 21 -0.45709339 -2.09990691 22 -1.68870671 -0.45709339 23 -0.05166546 -1.68870671 24 -1.35514180 -0.05166546 25 -0.10115565 -1.35514180 26 -0.06330320 -0.10115565 27 0.46002435 -0.06330320 28 -1.47580150 0.46002435 29 0.68362447 -1.47580150 30 -0.14836032 0.68362447 31 1.03936195 -0.14836032 32 -1.17110006 1.03936195 33 0.55703151 -1.17110006 34 -0.02873662 0.55703151 35 0.28369497 -0.02873662 36 -1.78504214 0.28369497 37 0.68772485 -1.78504214 38 -0.34785126 0.68772485 39 -0.15609094 -0.34785126 40 -2.36975568 -0.15609094 41 0.94312129 -2.36975568 42 0.40280772 0.94312129 43 1.39833830 0.40280772 44 -0.82926788 1.39833830 45 0.62164391 -0.82926788 46 0.56943909 0.62164391 47 -0.77713409 0.56943909 48 -0.82926788 -0.77713409 49 0.36178533 -0.82926788 50 0.71444691 0.36178533 51 0.85727222 0.71444691 52 -1.48843495 0.85727222 53 1.15425587 -1.48843495 54 1.01651829 1.15425587 55 1.49268690 1.01651829 56 -0.30940242 1.49268690 57 1.24080428 -0.30940242 58 1.68529000 1.24080428 59 1.25970722 1.68529000 60 -0.81414942 1.25970722 61 0.71656475 -0.81414942 62 0.36333800 0.71656475 63 0.96931055 0.36333800 64 -0.92522915 0.96931055 65 0.60899296 -0.92522915 66 0.41183471 0.60899296 67 1.17456764 0.41183471 68 -0.73403232 1.17456764 69 1.38659804 -0.73403232 70 1.08885896 1.38659804 71 2.39085551 1.08885896 72 -0.05603582 2.39085551 73 1.04168327 -0.05603582 74 1.34031956 1.04168327 75 1.52944820 1.34031956 76 -0.77258865 1.52944820 77 0.07705531 -0.77258865 78 -0.17497452 0.07705531 79 -0.37857448 -0.17497452 80 -0.21856474 -0.37857448 81 0.17611276 -0.21856474 82 0.18470283 0.17611276 83 -0.33676217 0.18470283 84 -1.22013506 -0.33676217 85 -0.18602206 -1.22013506 86 -0.88081632 -0.18602206 87 -0.18106299 -0.88081632 88 -1.13173813 -0.18106299 89 -0.33784070 -1.13173813 90 -0.59864361 -0.33784070 91 -0.27120998 -0.59864361 92 -1.30499555 -0.27120998 93 -0.28036646 -1.30499555 94 -0.61728057 -0.28036646 95 -1.00266710 -0.61728057 96 -1.71825237 -1.00266710 97 -0.55281194 -1.71825237 98 -0.12988448 -0.55281194 99 -0.65562027 -0.12988448 100 -1.31326127 -0.65562027 101 -0.78254120 -1.31326127 102 -0.39865780 -0.78254120 103 NA -0.39865780 > dum1 <- dum[2:length(myerror),] > dum1 lag(myerror, k = 1) myerror [1,] 0.61136092 -0.52802719 [2,] 0.64879367 0.61136092 [3,] 2.13032268 0.64879367 [4,] -0.08654570 2.13032268 [5,] 0.38122077 -0.08654570 [6,] 0.29437422 0.38122077 [7,] 1.53130789 0.29437422 [8,] 1.21146466 1.53130789 [9,] 1.17865765 1.21146466 [10,] 0.89208845 1.17865765 [11,] 1.21390971 0.89208845 [12,] -0.17940620 1.21390971 [13,] 0.39321467 -0.17940620 [14,] -0.51803833 0.39321467 [15,] -0.17170735 -0.51803833 [16,] -0.87488485 -0.17170735 [17,] -0.88810104 -0.87488485 [18,] -1.88383075 -0.88810104 [19,] -0.73805838 -1.88383075 [20,] -2.09990691 -0.73805838 [21,] -0.45709339 -2.09990691 [22,] -1.68870671 -0.45709339 [23,] -0.05166546 -1.68870671 [24,] -1.35514180 -0.05166546 [25,] -0.10115565 -1.35514180 [26,] -0.06330320 -0.10115565 [27,] 0.46002435 -0.06330320 [28,] -1.47580150 0.46002435 [29,] 0.68362447 -1.47580150 [30,] -0.14836032 0.68362447 [31,] 1.03936195 -0.14836032 [32,] -1.17110006 1.03936195 [33,] 0.55703151 -1.17110006 [34,] -0.02873662 0.55703151 [35,] 0.28369497 -0.02873662 [36,] -1.78504214 0.28369497 [37,] 0.68772485 -1.78504214 [38,] -0.34785126 0.68772485 [39,] -0.15609094 -0.34785126 [40,] -2.36975568 -0.15609094 [41,] 0.94312129 -2.36975568 [42,] 0.40280772 0.94312129 [43,] 1.39833830 0.40280772 [44,] -0.82926788 1.39833830 [45,] 0.62164391 -0.82926788 [46,] 0.56943909 0.62164391 [47,] -0.77713409 0.56943909 [48,] -0.82926788 -0.77713409 [49,] 0.36178533 -0.82926788 [50,] 0.71444691 0.36178533 [51,] 0.85727222 0.71444691 [52,] -1.48843495 0.85727222 [53,] 1.15425587 -1.48843495 [54,] 1.01651829 1.15425587 [55,] 1.49268690 1.01651829 [56,] -0.30940242 1.49268690 [57,] 1.24080428 -0.30940242 [58,] 1.68529000 1.24080428 [59,] 1.25970722 1.68529000 [60,] -0.81414942 1.25970722 [61,] 0.71656475 -0.81414942 [62,] 0.36333800 0.71656475 [63,] 0.96931055 0.36333800 [64,] -0.92522915 0.96931055 [65,] 0.60899296 -0.92522915 [66,] 0.41183471 0.60899296 [67,] 1.17456764 0.41183471 [68,] -0.73403232 1.17456764 [69,] 1.38659804 -0.73403232 [70,] 1.08885896 1.38659804 [71,] 2.39085551 1.08885896 [72,] -0.05603582 2.39085551 [73,] 1.04168327 -0.05603582 [74,] 1.34031956 1.04168327 [75,] 1.52944820 1.34031956 [76,] -0.77258865 1.52944820 [77,] 0.07705531 -0.77258865 [78,] -0.17497452 0.07705531 [79,] -0.37857448 -0.17497452 [80,] -0.21856474 -0.37857448 [81,] 0.17611276 -0.21856474 [82,] 0.18470283 0.17611276 [83,] -0.33676217 0.18470283 [84,] -1.22013506 -0.33676217 [85,] -0.18602206 -1.22013506 [86,] -0.88081632 -0.18602206 [87,] -0.18106299 -0.88081632 [88,] -1.13173813 -0.18106299 [89,] -0.33784070 -1.13173813 [90,] -0.59864361 -0.33784070 [91,] -0.27120998 -0.59864361 [92,] -1.30499555 -0.27120998 [93,] -0.28036646 -1.30499555 [94,] -0.61728057 -0.28036646 [95,] -1.00266710 -0.61728057 [96,] -1.71825237 -1.00266710 [97,] -0.55281194 -1.71825237 [98,] -0.12988448 -0.55281194 [99,] -0.65562027 -0.12988448 [100,] -1.31326127 -0.65562027 [101,] -0.78254120 -1.31326127 [102,] -0.39865780 -0.78254120 > z <- as.data.frame(dum1) > z lag(myerror, k = 1) myerror 1 0.61136092 -0.52802719 2 0.64879367 0.61136092 3 2.13032268 0.64879367 4 -0.08654570 2.13032268 5 0.38122077 -0.08654570 6 0.29437422 0.38122077 7 1.53130789 0.29437422 8 1.21146466 1.53130789 9 1.17865765 1.21146466 10 0.89208845 1.17865765 11 1.21390971 0.89208845 12 -0.17940620 1.21390971 13 0.39321467 -0.17940620 14 -0.51803833 0.39321467 15 -0.17170735 -0.51803833 16 -0.87488485 -0.17170735 17 -0.88810104 -0.87488485 18 -1.88383075 -0.88810104 19 -0.73805838 -1.88383075 20 -2.09990691 -0.73805838 21 -0.45709339 -2.09990691 22 -1.68870671 -0.45709339 23 -0.05166546 -1.68870671 24 -1.35514180 -0.05166546 25 -0.10115565 -1.35514180 26 -0.06330320 -0.10115565 27 0.46002435 -0.06330320 28 -1.47580150 0.46002435 29 0.68362447 -1.47580150 30 -0.14836032 0.68362447 31 1.03936195 -0.14836032 32 -1.17110006 1.03936195 33 0.55703151 -1.17110006 34 -0.02873662 0.55703151 35 0.28369497 -0.02873662 36 -1.78504214 0.28369497 37 0.68772485 -1.78504214 38 -0.34785126 0.68772485 39 -0.15609094 -0.34785126 40 -2.36975568 -0.15609094 41 0.94312129 -2.36975568 42 0.40280772 0.94312129 43 1.39833830 0.40280772 44 -0.82926788 1.39833830 45 0.62164391 -0.82926788 46 0.56943909 0.62164391 47 -0.77713409 0.56943909 48 -0.82926788 -0.77713409 49 0.36178533 -0.82926788 50 0.71444691 0.36178533 51 0.85727222 0.71444691 52 -1.48843495 0.85727222 53 1.15425587 -1.48843495 54 1.01651829 1.15425587 55 1.49268690 1.01651829 56 -0.30940242 1.49268690 57 1.24080428 -0.30940242 58 1.68529000 1.24080428 59 1.25970722 1.68529000 60 -0.81414942 1.25970722 61 0.71656475 -0.81414942 62 0.36333800 0.71656475 63 0.96931055 0.36333800 64 -0.92522915 0.96931055 65 0.60899296 -0.92522915 66 0.41183471 0.60899296 67 1.17456764 0.41183471 68 -0.73403232 1.17456764 69 1.38659804 -0.73403232 70 1.08885896 1.38659804 71 2.39085551 1.08885896 72 -0.05603582 2.39085551 73 1.04168327 -0.05603582 74 1.34031956 1.04168327 75 1.52944820 1.34031956 76 -0.77258865 1.52944820 77 0.07705531 -0.77258865 78 -0.17497452 0.07705531 79 -0.37857448 -0.17497452 80 -0.21856474 -0.37857448 81 0.17611276 -0.21856474 82 0.18470283 0.17611276 83 -0.33676217 0.18470283 84 -1.22013506 -0.33676217 85 -0.18602206 -1.22013506 86 -0.88081632 -0.18602206 87 -0.18106299 -0.88081632 88 -1.13173813 -0.18106299 89 -0.33784070 -1.13173813 90 -0.59864361 -0.33784070 91 -0.27120998 -0.59864361 92 -1.30499555 -0.27120998 93 -0.28036646 -1.30499555 94 -0.61728057 -0.28036646 95 -1.00266710 -0.61728057 96 -1.71825237 -1.00266710 97 -0.55281194 -1.71825237 98 -0.12988448 -0.55281194 99 -0.65562027 -0.12988448 100 -1.31326127 -0.65562027 101 -0.78254120 -1.31326127 102 -0.39865780 -0.78254120 > 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/7hic11292682070.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > acf(mysum$resid, lag.max=length(mysum$resid)/2, main='Residual Autocorrelation Function') > grid() > dev.off() null device 1 > postscript(file="/var/www/rcomp/tmp/8hic11292682070.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > pacf(mysum$resid, lag.max=length(mysum$resid)/2, main='Residual Partial Autocorrelation Function') > grid() > dev.off() null device 1 > postscript(file="/var/www/rcomp/tmp/9a9t31292682070.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > opar <- par(mfrow = c(2,2), oma = c(0, 0, 1.1, 0)) > plot(mylm, las = 1, sub='Residual Diagnostics') > par(opar) > dev.off() null device 1 > if (n > n25) { + postscript(file="/var/www/rcomp/tmp/10a9t31292682070.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) + plot(kp3:nmkm3,gqarr[,2], main='Goldfeld-Quandt test',ylab='2-sided p-value',xlab='breakpoint') + grid() + dev.off() + } null device 1 > > #Note: the /var/www/rcomp/createtable file can be downloaded at http://www.wessa.net/cretab > load(file="/var/www/rcomp/createtable") > > a<-table.start() > a<-table.row.start(a) > a<-table.element(a, 'Multiple Linear Regression - Estimated Regression Equation', 1, TRUE) > a<-table.row.end(a) > myeq <- colnames(x)[1] > myeq <- paste(myeq, '[t] = ', sep='') > for (i in 1:k){ + if (mysum$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/11vaa91292682070.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/12ztqx1292682070.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/13nt591292682070.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/14glmu1292682070.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/151ll01292682070.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/16xvj91292682070.tab") + } > > try(system("convert tmp/1l8ws1292682070.ps tmp/1l8ws1292682070.png",intern=TRUE)) character(0) > try(system("convert tmp/2dzvv1292682070.ps tmp/2dzvv1292682070.png",intern=TRUE)) character(0) > try(system("convert tmp/3dzvv1292682070.ps tmp/3dzvv1292682070.png",intern=TRUE)) character(0) > try(system("convert tmp/4dzvv1292682070.ps tmp/4dzvv1292682070.png",intern=TRUE)) character(0) > try(system("convert tmp/5o9vy1292682070.ps tmp/5o9vy1292682070.png",intern=TRUE)) character(0) > try(system("convert tmp/6o9vy1292682070.ps tmp/6o9vy1292682070.png",intern=TRUE)) character(0) > try(system("convert tmp/7hic11292682070.ps tmp/7hic11292682070.png",intern=TRUE)) character(0) > try(system("convert tmp/8hic11292682070.ps tmp/8hic11292682070.png",intern=TRUE)) character(0) > try(system("convert tmp/9a9t31292682070.ps tmp/9a9t31292682070.png",intern=TRUE)) character(0) > try(system("convert tmp/10a9t31292682070.ps tmp/10a9t31292682070.png",intern=TRUE)) character(0) > > > proc.time() user system elapsed 3.700 1.620 5.331