R version 2.15.2 (2012-10-26) -- "Trick or Treat" Copyright (C) 2012 The R Foundation for Statistical Computing ISBN 3-900051-07-0 Platform: i686-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(14915 + ,3440 + ,813 + ,5126 + ,2563 + ,11773 + ,3054 + ,647 + ,4127 + ,1505 + ,11608 + ,3203 + ,630 + ,4232 + ,1145 + ,11468 + ,3148 + ,662 + ,4167 + ,1082 + ,11511 + ,3181 + ,653 + ,4058 + ,1135 + ,11200 + ,3211 + ,660 + ,3802 + ,1109 + ,11164 + ,3306 + ,632 + ,3907 + ,932 + ,10960 + ,3252 + ,673 + ,3708 + ,957 + ,10667 + ,3218 + ,627 + ,3724 + ,806 + ,11556 + ,3418 + ,641 + ,4025 + ,1107 + ,11372 + ,3188 + ,660 + ,4051 + ,1081 + ,12333 + ,3186 + ,723 + ,4264 + ,1255 + ,13102 + ,3360 + ,797 + ,4533 + ,1507 + ,11115 + ,2944 + ,680 + ,3827 + ,1205 + ,12572 + ,3522 + ,752 + ,4316 + ,1305 + ,11557 + ,3121 + ,724 + ,4091 + ,1089 + ,12059 + ,3305 + ,799 + ,4175 + ,1164 + ,11420 + ,3283 + ,778 + ,3822 + ,988 + ,11185 + ,3139 + ,789 + ,3610 + ,1000 + ,11113 + ,3315 + ,688 + ,3478 + ,1023 + ,10706 + ,3163 + ,623 + ,3526 + ,878 + ,11523 + ,3318 + ,683 + ,3887 + ,1032 + ,11391 + ,3208 + ,694 + ,3912 + ,994 + ,12634 + ,3335 + ,742 + ,4466 + ,1193 + ,13469 + ,3393 + ,966 + ,4553 + ,1503 + ,11735 + ,3118 + ,779 + ,3992 + ,1251 + ,13281 + ,3379 + ,854 + ,4535 + ,1694 + ,11968 + ,3245 + ,808 + ,4113 + ,1273 + ,11623 + ,3326 + ,783 + ,3982 + ,984 + ,11084 + ,3318 + ,815 + ,3587 + ,943 + ,11509 + ,3380 + ,811 + ,3792 + ,936 + ,11134 + ,3283 + ,912 + ,3546 + ,962 + ,10438 + ,3174 + ,717 + ,3444 + ,717 + ,11530 + ,3348 + ,787 + ,4001 + ,898 + ,11491 + ,3306 + ,775 + ,3928 + ,963 + ,13093 + ,3407 + ,961 + ,4519 + ,1387 + ,13106 + ,3373 + ,952 + ,4502 + ,1442 + ,11305 + ,3055 + ,778 + ,3891 + ,1197 + ,13113 + ,3382 + ,928 + ,4522 + ,1536 + ,12203 + ,3344 + ,811 + ,4113 + ,1308 + ,11309 + ,3315 + ,811 + ,3769 + ,1047 + ,11088 + ,3276 + ,844 + ,3538 + ,975 + ,11234 + ,3386 + ,829 + ,3504 + ,975 + ,11619 + ,3304 + ,972 + ,3599 + ,1092 + ,10942 + ,3301 + ,791 + ,3572 + ,887 + ,11445 + ,3357 + ,782 + ,3816 + ,972 + ,11291 + ,3289 + ,828 + ,3716 + ,1066 + ,13281 + ,3485 + ,912 + ,4400 + ,1745 + ,13726 + ,3489 + ,990 + ,4498 + ,1930 + ,11300 + ,3189 + ,755 + ,3859 + ,1108 + ,11983 + ,3455 + ,840 + ,4006 + ,1167 + ,11092 + ,3295 + ,781 + ,3648 + ,1024 + ,11093 + ,3335 + ,828 + ,3691 + ,918 + ,10692 + ,3329 + ,795 + ,3481 + ,894 + ,10786 + ,3382 + ,838 + ,3326 + ,899 + ,11166 + ,3395 + ,944 + ,3376 + ,1013 + ,10553 + ,3345 + ,739 + ,3436 + ,770 + ,11103 + ,3374 + ,789 + ,3651 + ,902 + ,10969 + ,3270 + ,803 + ,3629 + ,937 + ,12090 + ,3442 + ,859 + ,4037 + ,1193 + ,12544 + ,3448 + ,927 + ,4095 + ,1493 + ,12264 + ,3216 + ,860 + ,3891 + ,1827 + ,13783 + ,3542 + ,1052 + ,4476 + ,2034 + ,11214 + ,3361 + ,744 + ,3568 + ,1273 + ,11453 + ,3425 + ,778 + ,3681 + ,1153 + ,10883 + ,3383 + ,843 + ,3299 + ,1083 + ,10381 + ,3285 + ,779 + ,3156 + ,907 + ,10348 + ,3435 + ,760 + ,3186 + ,694 + ,10024 + ,3254 + ,743 + ,3012 + ,803 + ,10805 + ,3337 + ,838 + ,3436 + ,876 + ,10796 + ,3296 + ,749 + ,3587 + ,975 + ,11907 + ,3391 + ,918 + ,3963 + ,1197 + ,12261 + ,3508 + ,907 + ,3906 + ,1356 + ,11377 + ,3091 + ,873 + ,3700 + ,1366 + ,12689 + ,3451 + ,968 + ,4115 + ,1532 + ,11474 + ,3315 + ,957 + ,3590 + ,1262 + ,10992 + ,3368 + ,866 + ,3341 + ,1073 + ,10764 + ,3412 + ,887 + ,3199 + ,1029 + ,12164 + ,3521 + ,1255 + ,3407 + ,1294 + ,10409 + ,3302 + ,832 + ,3081 + ,824 + ,10398 + ,3278 + ,887 + ,3050 + ,919 + ,10349 + ,3425 + ,776 + ,3155 + ,899 + ,10865 + ,3384 + ,784 + ,3445 + ,987 + ,11630 + ,3508 + ,834 + ,3731 + ,1190 + ,12221 + ,3609 + ,902 + ,3803 + ,1445 + ,10884 + ,3211 + ,759 + ,3471 + ,1277 + ,12019 + ,3418 + ,877 + ,3840 + ,1393 + ,11021 + ,3306 + ,901 + ,3396 + ,1179 + ,10799 + ,3313 + ,851 + ,3270 + ,1117 + ,10423 + ,3362 + ,829 + ,3106 + ,997 + ,10484 + ,3413 + ,825 + ,3050 + ,950 + ,10450 + ,3479 + ,887 + ,3035 + ,817 + ,9906 + ,3213 + ,787 + ,2992 + ,811 + ,11049 + ,3465 + ,832 + ,3430 + ,1003 + ,11281 + ,3476 + ,838 + ,3541 + ,1124 + ,12485 + ,3629 + ,996 + ,3915 + ,1423 + ,12849 + ,3665 + ,1080 + ,3873 + ,1562 + ,11380 + ,3420 + ,931 + ,3490 + ,1246 + ,12079 + ,3611 + ,987 + ,3677 + ,1317 + ,11366 + ,3341 + ,953 + ,3491 + ,1257 + ,11328 + ,3511 + ,989 + ,3308 + ,1139 + ,10444 + ,3407 + ,907 + ,3031 + ,922 + ,10854 + ,3523 + ,898 + ,3044 + ,1044 + ,10434 + ,3472 + ,877 + ,2933 + ,903 + ,10137 + ,3385 + ,893 + ,2941 + ,820 + ,10992 + ,3546 + ,851 + ,3355 + ,1010 + ,10906 + ,3443 + ,912 + ,3259 + ,1069 + ,12367 + ,3550 + ,1062 + ,3727 + ,1500 + ,14371 + ,3795 + ,1252 + ,4201 + ,2293 + ,11695 + ,3268 + ,1013 + ,3406 + ,1616 + ,11546 + ,3560 + ,912 + ,3519 + ,1229 + ,10922 + ,3488 + ,877 + ,3243 + ,1127 + ,10670 + ,3436 + ,926 + ,3095 + ,1031 + ,10254 + ,3440 + ,925 + ,2822 + ,916 + ,10573 + ,3502 + ,950 + ,2997 + ,900 + ,10239 + ,3509 + ,990 + ,2758 + ,826 + ,10253 + ,3494 + ,861 + ,2932 + ,797 + ,11176 + ,3782 + ,937 + ,3181 + ,1054 + ,10719 + ,3430 + ,906 + ,3128 + ,1050 + ,11817 + ,3692 + ,1017 + ,3615 + ,1123 + ,12487 + ,3760 + ,1107 + ,3700 + ,1398 + ,11519 + ,3370 + ,1000 + ,3477 + ,1356 + ,12025 + ,3755 + ,1068 + ,3512 + ,1208 + ,10976 + ,3515 + ,885 + ,3231 + ,983 + ,11276 + ,3560 + ,1042 + ,3143 + ,1062 + ,10657 + ,3607 + ,974 + ,2954 + ,925 + ,11141 + ,3635 + ,1136 + ,2954 + ,1029 + ,10423 + ,3628 + ,968 + ,2834 + ,808 + ,10640 + ,3552 + ,957 + ,2941 + ,936 + ,11426 + ,3742 + ,1019 + ,3281 + ,1097 + ,10948 + ,3551 + ,954 + ,3196 + ,1007 + ,12540 + ,3841 + ,1211 + ,3786 + ,1207 + ,12200 + ,3675 + ,1133 + ,3602 + ,1339 + ,10644 + ,3367 + ,954 + ,3066 + ,1101 + ,12044 + ,3736 + ,1050 + ,3484 + ,1275 + ,11338 + ,3632 + ,1024 + ,3194 + ,1243 + ,11292 + ,3668 + ,1025 + ,3162 + ,1147 + ,10612 + ,3543 + ,985 + ,2865 + ,1032 + ,10995 + ,3773 + ,1076 + ,2960 + ,936 + ,10686 + ,3653 + ,1051 + ,2909 + ,915 + ,10635 + ,3662 + ,1041 + ,2864 + ,864 + ,11285 + ,3745 + ,1041 + ,3204 + ,995 + ,11475 + ,3761 + ,1084 + ,3188 + ,1109 + ,12535 + ,3823 + ,1204 + ,3634 + ,1361) + ,dim=c(5 + ,144) + ,dimnames=list(c('Y_t' + ,'X_1t' + ,'X_2t' + ,'X_3t' + ,'X_4t') + ,1:144)) > y <- array(NA,dim=c(5,144),dimnames=list(c('Y_t','X_1t','X_2t','X_3t','X_4t'),1:144)) > for (i in 1:dim(x)[1]) + { + for (j in 1:dim(x)[2]) + { + y[i,j] <- as.numeric(x[i,j]) + } + } > par3 = 'Linear Trend' > par2 = 'Do not include Seasonal Dummies' > par1 = '1' > par3 <- '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 Attaching package: 'zoo' The following object(s) are masked from 'package:base': as.Date, as.Date.numeric > n25 <- 25 #minimum number of obs. for Goldfeld-Quandt test > par1 <- as.numeric(par1) > x <- t(y) > k <- length(x[1,]) > n <- length(x[,1]) > x1 <- cbind(x[,par1], x[,1:k!=par1]) > mycolnames <- c(colnames(x)[par1], colnames(x)[1:k!=par1]) > colnames(x1) <- mycolnames #colnames(x)[par1] > x <- x1 > if (par3 == 'First Differences'){ + x2 <- array(0, dim=c(n-1,k), dimnames=list(1:(n-1), paste('(1-B)',colnames(x),sep=''))) + for (i in 1:n-1) { + for (j in 1:k) { + x2[i,j] <- x[i+1,j] - x[i,j] + } + } + x <- x2 + } > if (par2 == 'Include Monthly Dummies'){ + x2 <- array(0, dim=c(n,11), dimnames=list(1:n, paste('M', seq(1:11), sep =''))) + for (i in 1:11){ + x2[seq(i,n,12),i] <- 1 + } + x <- cbind(x, x2) + } > if (par2 == 'Include Quarterly Dummies'){ + x2 <- array(0, dim=c(n,3), dimnames=list(1:n, paste('Q', seq(1:3), sep =''))) + for (i in 1:3){ + x2[seq(i,n,4),i] <- 1 + } + x <- cbind(x, x2) + } > k <- length(x[1,]) > if (par3 == 'Linear Trend'){ + x <- cbind(x, c(1:n)) + colnames(x)[k+1] <- 't' + } > x Y_t X_1t X_2t X_3t X_4t t 1 14915 3440 813 5126 2563 1 2 11773 3054 647 4127 1505 2 3 11608 3203 630 4232 1145 3 4 11468 3148 662 4167 1082 4 5 11511 3181 653 4058 1135 5 6 11200 3211 660 3802 1109 6 7 11164 3306 632 3907 932 7 8 10960 3252 673 3708 957 8 9 10667 3218 627 3724 806 9 10 11556 3418 641 4025 1107 10 11 11372 3188 660 4051 1081 11 12 12333 3186 723 4264 1255 12 13 13102 3360 797 4533 1507 13 14 11115 2944 680 3827 1205 14 15 12572 3522 752 4316 1305 15 16 11557 3121 724 4091 1089 16 17 12059 3305 799 4175 1164 17 18 11420 3283 778 3822 988 18 19 11185 3139 789 3610 1000 19 20 11113 3315 688 3478 1023 20 21 10706 3163 623 3526 878 21 22 11523 3318 683 3887 1032 22 23 11391 3208 694 3912 994 23 24 12634 3335 742 4466 1193 24 25 13469 3393 966 4553 1503 25 26 11735 3118 779 3992 1251 26 27 13281 3379 854 4535 1694 27 28 11968 3245 808 4113 1273 28 29 11623 3326 783 3982 984 29 30 11084 3318 815 3587 943 30 31 11509 3380 811 3792 936 31 32 11134 3283 912 3546 962 32 33 10438 3174 717 3444 717 33 34 11530 3348 787 4001 898 34 35 11491 3306 775 3928 963 35 36 13093 3407 961 4519 1387 36 37 13106 3373 952 4502 1442 37 38 11305 3055 778 3891 1197 38 39 13113 3382 928 4522 1536 39 40 12203 3344 811 4113 1308 40 41 11309 3315 811 3769 1047 41 42 11088 3276 844 3538 975 42 43 11234 3386 829 3504 975 43 44 11619 3304 972 3599 1092 44 45 10942 3301 791 3572 887 45 46 11445 3357 782 3816 972 46 47 11291 3289 828 3716 1066 47 48 13281 3485 912 4400 1745 48 49 13726 3489 990 4498 1930 49 50 11300 3189 755 3859 1108 50 51 11983 3455 840 4006 1167 51 52 11092 3295 781 3648 1024 52 53 11093 3335 828 3691 918 53 54 10692 3329 795 3481 894 54 55 10786 3382 838 3326 899 55 56 11166 3395 944 3376 1013 56 57 10553 3345 739 3436 770 57 58 11103 3374 789 3651 902 58 59 10969 3270 803 3629 937 59 60 12090 3442 859 4037 1193 60 61 12544 3448 927 4095 1493 61 62 12264 3216 860 3891 1827 62 63 13783 3542 1052 4476 2034 63 64 11214 3361 744 3568 1273 64 65 11453 3425 778 3681 1153 65 66 10883 3383 843 3299 1083 66 67 10381 3285 779 3156 907 67 68 10348 3435 760 3186 694 68 69 10024 3254 743 3012 803 69 70 10805 3337 838 3436 876 70 71 10796 3296 749 3587 975 71 72 11907 3391 918 3963 1197 72 73 12261 3508 907 3906 1356 73 74 11377 3091 873 3700 1366 74 75 12689 3451 968 4115 1532 75 76 11474 3315 957 3590 1262 76 77 10992 3368 866 3341 1073 77 78 10764 3412 887 3199 1029 78 79 12164 3521 1255 3407 1294 79 80 10409 3302 832 3081 824 80 81 10398 3278 887 3050 919 81 82 10349 3425 776 3155 899 82 83 10865 3384 784 3445 987 83 84 11630 3508 834 3731 1190 84 85 12221 3609 902 3803 1445 85 86 10884 3211 759 3471 1277 86 87 12019 3418 877 3840 1393 87 88 11021 3306 901 3396 1179 88 89 10799 3313 851 3270 1117 89 90 10423 3362 829 3106 997 90 91 10484 3413 825 3050 950 91 92 10450 3479 887 3035 817 92 93 9906 3213 787 2992 811 93 94 11049 3465 832 3430 1003 94 95 11281 3476 838 3541 1124 95 96 12485 3629 996 3915 1423 96 97 12849 3665 1080 3873 1562 97 98 11380 3420 931 3490 1246 98 99 12079 3611 987 3677 1317 99 100 11366 3341 953 3491 1257 100 101 11328 3511 989 3308 1139 101 102 10444 3407 907 3031 922 102 103 10854 3523 898 3044 1044 103 104 10434 3472 877 2933 903 104 105 10137 3385 893 2941 820 105 106 10992 3546 851 3355 1010 106 107 10906 3443 912 3259 1069 107 108 12367 3550 1062 3727 1500 108 109 14371 3795 1252 4201 2293 109 110 11695 3268 1013 3406 1616 110 111 11546 3560 912 3519 1229 111 112 10922 3488 877 3243 1127 112 113 10670 3436 926 3095 1031 113 114 10254 3440 925 2822 916 114 115 10573 3502 950 2997 900 115 116 10239 3509 990 2758 826 116 117 10253 3494 861 2932 797 117 118 11176 3782 937 3181 1054 118 119 10719 3430 906 3128 1050 119 120 11817 3692 1017 3615 1123 120 121 12487 3760 1107 3700 1398 121 122 11519 3370 1000 3477 1356 122 123 12025 3755 1068 3512 1208 123 124 10976 3515 885 3231 983 124 125 11276 3560 1042 3143 1062 125 126 10657 3607 974 2954 925 126 127 11141 3635 1136 2954 1029 127 128 10423 3628 968 2834 808 128 129 10640 3552 957 2941 936 129 130 11426 3742 1019 3281 1097 130 131 10948 3551 954 3196 1007 131 132 12540 3841 1211 3786 1207 132 133 12200 3675 1133 3602 1339 133 134 10644 3367 954 3066 1101 134 135 12044 3736 1050 3484 1275 135 136 11338 3632 1024 3194 1243 136 137 11292 3668 1025 3162 1147 137 138 10612 3543 985 2865 1032 138 139 10995 3773 1076 2960 936 139 140 10686 3653 1051 2909 915 140 141 10635 3662 1041 2864 864 141 142 11285 3745 1041 3204 995 142 143 11475 3761 1084 3188 1109 143 144 12535 3823 1204 3634 1361 144 > k <- length(x[1,]) > df <- as.data.frame(x) > (mylm <- lm(df)) Call: lm(formula = df) Coefficients: (Intercept) X_1t X_2t X_3t X_4t t 543.179 1.169 1.839 1.216 1.025 -3.369 > (mysum <- summary(mylm)) Call: lm(formula = df) Residuals: Min 1Q Median 3Q Max -171.440 -45.447 -3.693 37.382 305.306 Coefficients: Estimate Std. Error t value Pr(>|t|) (Intercept) 543.17921 196.29568 2.767 0.00643 ** X_1t 1.16860 0.07469 15.646 < 2e-16 *** X_2t 1.83918 0.10790 17.046 < 2e-16 *** X_3t 1.21611 0.04106 29.621 < 2e-16 *** X_4t 1.02513 0.04666 21.968 < 2e-16 *** t -3.36895 0.51004 -6.605 7.93e-10 *** --- Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 Residual standard error: 81.95 on 138 degrees of freedom Multiple R-squared: 0.9918, Adjusted R-squared: 0.9915 F-statistic: 3342 on 5 and 138 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,] 0.19303705 3.860741e-01 8.069629e-01 [2,] 0.13158638 2.631728e-01 8.684136e-01 [3,] 0.07270373 1.454075e-01 9.272963e-01 [4,] 0.85450227 2.909955e-01 1.454977e-01 [5,] 0.85317060 2.936588e-01 1.468294e-01 [6,] 0.86579695 2.684061e-01 1.342030e-01 [7,] 0.83971141 3.205772e-01 1.602886e-01 [8,] 0.90416075 1.916785e-01 9.583925e-02 [9,] 0.96317385 7.365230e-02 3.682615e-02 [10,] 0.94728588 1.054282e-01 5.271412e-02 [11,] 0.95159064 9.681873e-02 4.840936e-02 [12,] 0.98524187 2.951627e-02 1.475813e-02 [13,] 0.98825011 2.349978e-02 1.174989e-02 [14,] 0.98534329 2.931342e-02 1.465671e-02 [15,] 0.98359094 3.281813e-02 1.640906e-02 [16,] 0.99406389 1.187221e-02 5.936105e-03 [17,] 0.99703774 5.924524e-03 2.962262e-03 [18,] 0.99962051 7.589861e-04 3.794930e-04 [19,] 0.99994221 1.155891e-04 5.779455e-05 [20,] 0.99999796 4.087005e-06 2.043502e-06 [21,] 0.99999871 2.571642e-06 1.285821e-06 [22,] 0.99999968 6.375118e-07 3.187559e-07 [23,] 0.99999957 8.556890e-07 4.278445e-07 [24,] 0.99999989 2.153655e-07 1.076828e-07 [25,] 0.99999986 2.843300e-07 1.421650e-07 [26,] 0.99999991 1.769085e-07 8.845426e-08 [27,] 0.99999989 2.128516e-07 1.064258e-07 [28,] 0.99999988 2.482094e-07 1.241047e-07 [29,] 0.99999987 2.541122e-07 1.270561e-07 [30,] 0.99999996 7.874905e-08 3.937452e-08 [31,] 0.99999996 8.309590e-08 4.154795e-08 [32,] 0.99999995 1.005862e-07 5.029308e-08 [33,] 0.99999998 3.512176e-08 1.756088e-08 [34,] 0.99999997 6.657122e-08 3.328561e-08 [35,] 0.99999997 5.030414e-08 2.515207e-08 [36,] 0.99999998 3.268745e-08 1.634373e-08 [37,] 0.99999997 5.544639e-08 2.772320e-08 [38,] 0.99999997 5.088393e-08 2.544196e-08 [39,] 0.99999997 5.518948e-08 2.759474e-08 [40,] 0.99999996 8.212403e-08 4.106202e-08 [41,] 0.99999994 1.170461e-07 5.852305e-08 [42,] 0.99999990 2.008181e-07 1.004090e-07 [43,] 0.99999983 3.340993e-07 1.670497e-07 [44,] 0.99999972 5.684070e-07 2.842035e-07 [45,] 0.99999979 4.264336e-07 2.132168e-07 [46,] 0.99999996 7.989110e-08 3.994555e-08 [47,] 0.99999992 1.573322e-07 7.866612e-08 [48,] 0.99999985 2.952059e-07 1.476029e-07 [49,] 0.99999972 5.566728e-07 2.783364e-07 [50,] 0.99999951 9.884606e-07 4.942303e-07 [51,] 0.99999911 1.779304e-06 8.896520e-07 [52,] 0.99999873 2.530155e-06 1.265078e-06 [53,] 0.99999778 4.438675e-06 2.219337e-06 [54,] 0.99999600 8.004608e-06 4.002304e-06 [55,] 0.99999845 3.100316e-06 1.550158e-06 [56,] 0.99999783 4.348268e-06 2.174134e-06 [57,] 0.99999731 5.389657e-06 2.694828e-06 [58,] 0.99999643 7.134561e-06 3.567280e-06 [59,] 0.99999465 1.070043e-05 5.350217e-06 [60,] 0.99999319 1.361588e-05 6.807941e-06 [61,] 0.99999262 1.475336e-05 7.376682e-06 [62,] 0.99998730 2.540740e-05 1.270370e-05 [63,] 0.99998679 2.641252e-05 1.320626e-05 [64,] 0.99998355 3.289338e-05 1.644669e-05 [65,] 0.99998416 3.168729e-05 1.584364e-05 [66,] 0.99997340 5.319361e-05 2.659680e-05 [67,] 0.99996050 7.900176e-05 3.950088e-05 [68,] 0.99996696 6.608636e-05 3.304318e-05 [69,] 0.99994884 1.023119e-04 5.115597e-05 [70,] 0.99994622 1.075553e-04 5.377763e-05 [71,] 0.99991224 1.755192e-04 8.775958e-05 [72,] 0.99999271 1.457613e-05 7.288067e-06 [73,] 0.99998916 2.168920e-05 1.084460e-05 [74,] 0.99999340 1.320432e-05 6.602161e-06 [75,] 0.99998858 2.283127e-05 1.141564e-05 [76,] 0.99997982 4.036282e-05 2.018141e-05 [77,] 0.99996647 6.705512e-05 3.352756e-05 [78,] 0.99996385 7.230900e-05 3.615450e-05 [79,] 0.99996348 7.304308e-05 3.652154e-05 [80,] 0.99996300 7.400161e-05 3.700080e-05 [81,] 0.99993656 1.268884e-04 6.344420e-05 [82,] 0.99994620 1.075944e-04 5.379722e-05 [83,] 0.99992883 1.423303e-04 7.116514e-05 [84,] 0.99987701 2.459865e-04 1.229932e-04 [85,] 0.99979345 4.130949e-04 2.065475e-04 [86,] 0.99972739 5.452232e-04 2.726116e-04 [87,] 0.99954766 9.046723e-04 4.523361e-04 [88,] 0.99926121 1.477577e-03 7.387883e-04 [89,] 0.99927236 1.455282e-03 7.276412e-04 [90,] 0.99914064 1.718726e-03 8.593630e-04 [91,] 0.99870753 2.584935e-03 1.292468e-03 [92,] 0.99804384 3.912315e-03 1.956158e-03 [93,] 0.99709025 5.819496e-03 2.909748e-03 [94,] 0.99592965 8.140709e-03 4.070355e-03 [95,] 0.99773361 4.532784e-03 2.266392e-03 [96,] 0.99804116 3.917681e-03 1.958840e-03 [97,] 0.99775387 4.492260e-03 2.246130e-03 [98,] 0.99649438 7.011238e-03 3.505619e-03 [99,] 0.99535445 9.291095e-03 4.645547e-03 [100,] 0.99299206 1.401588e-02 7.007939e-03 [101,] 0.99009822 1.980356e-02 9.901779e-03 [102,] 0.98592409 2.815182e-02 1.407591e-02 [103,] 0.97897721 4.204559e-02 2.102279e-02 [104,] 0.97552235 4.895531e-02 2.447765e-02 [105,] 0.97139721 5.720558e-02 2.860279e-02 [106,] 0.96030045 7.939909e-02 3.969955e-02 [107,] 0.94367762 1.126448e-01 5.632238e-02 [108,] 0.93425285 1.314943e-01 6.574715e-02 [109,] 0.91064590 1.787082e-01 8.935410e-02 [110,] 0.92782379 1.443524e-01 7.217621e-02 [111,] 0.91244104 1.751179e-01 8.755896e-02 [112,] 0.91782881 1.643424e-01 8.217119e-02 [113,] 0.89366823 2.126635e-01 1.063318e-01 [114,] 0.90073506 1.985299e-01 9.926494e-02 [115,] 0.86205188 2.758962e-01 1.379481e-01 [116,] 0.91230389 1.753922e-01 8.769611e-02 [117,] 0.98403009 3.193982e-02 1.596991e-02 [118,] 0.97546919 4.906162e-02 2.453081e-02 [119,] 0.98401010 3.197980e-02 1.598990e-02 [120,] 0.97187210 5.625581e-02 2.812790e-02 [121,] 0.99001572 1.996857e-02 9.984283e-03 [122,] 0.98636409 2.727182e-02 1.363591e-02 [123,] 0.97026665 5.946670e-02 2.973335e-02 [124,] 0.95693964 8.612073e-02 4.306036e-02 [125,] 0.91196303 1.760739e-01 8.803697e-02 [126,] 0.83371966 3.325607e-01 1.662803e-01 [127,] 0.90418722 1.916256e-01 9.581278e-02 > postscript(file="/var/wessaorg/rcomp/tmp/1z92s1353865784.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$resid) > grid() > dev.off() null device 1 > postscript(file="/var/wessaorg/rcomp/tmp/2u2ak1353865784.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > plot(mysum$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/3csfb1353865784.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > hist(mysum$resid, main='Residual Histogram', xlab='values of Residuals') > grid() > dev.off() null device 1 > postscript(file="/var/wessaorg/rcomp/tmp/4lwm01353865784.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > densityplot(~mysum$resid,col='black',main='Residual Density Plot', xlab='values of Residuals') > dev.off() null device 1 > postscript(file="/var/wessaorg/rcomp/tmp/5i2m21353865784.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 = 144 Frequency = 1 1 2 3 4 5 6 -1.2680888 -84.0264700 -147.1567365 -134.7374451 -32.1558490 -49.7412140 7 8 9 10 11 12 -88.1355840 -84.6904099 -114.6492191 -156.3647836 -108.1265668 305.3062588 13 14 15 16 17 18 152.7710045 38.6284780 -6.0686358 -2.5381615 -29.1691339 9.2429156 19 20 21 22 23 24 171.1739798 219.5739820 203.3884656 135.3861220 123.6229511 255.5710556 25 26 27 28 29 30 190.5919317 65.8256161 57.7672871 -65.8878233 -0.6218379 -63.3631208 31 32 33 34 35 36 57.7821425 -113.7411692 54.8464657 -44.7876235 12.8751991 4.7492089 37 38 39 40 41 42 41.6947710 -70.1012162 -31.6294495 52.4504589 -118.3885038 3.5946660 43 44 45 46 47 48 93.3525657 79.0734813 -15.1731781 58.4388363 -72.0807557 9.8640613 49 50 51 52 53 54 1.2739556 -18.8132104 -38.8743750 -49.0551092 -121.5001257 -171.4400772 55 56 57 58 59 60 -31.7201363 -36.1666911 -34.1952876 -3.4564644 -47.4263952 14.3406938 61 62 63 64 65 66 -38.4409066 -15.0392193 -150.3853227 -53.6757684 36.9660842 -63.8160073 67 68 69 70 71 72 24.1111424 36.0041618 58.0202070 -19.7928929 -98.9456600 -91.2528063 73 74 75 76 77 78 55.9422776 -34.5811190 10.5098217 -106.7151319 16.6450882 -80.2334924 79 80 81 82 83 84 -5.6712605 154.8593935 14.4317911 -106.0245449 3.6595644 -20.7475242 85 86 87 88 89 90 -18.4410351 -47.9936346 63.7905970 -84.7646203 -2.8286731 -69.8009889 91 92 93 94 95 96 58.6094230 -8.5938441 3.9851149 43.6200778 -3.9303790 -27.2888027 97 98 99 100 101 102 52.1025086 -63.4698586 12.5043425 -31.3666909 12.6434806 -36.3230963 103 104 105 106 107 108 117.1644235 78.2872938 -67.7446953 -18.5214424 -36.7122513 15.7662532 109 110 111 112 113 114 -1.9851967 41.6263826 -0.1737503 -32.0835786 -31.6693921 2.7532676 115 116 117 118 119 120 10.2719758 -35.5957297 54.6815416 -61.5564116 21.7302029 -54.3049325 121 122 123 124 125 126 -11.2085250 -9.0434574 34.5048597 178.2908190 166.3540385 -8.8488754 127 128 129 130 131 132 41.2385521 16.2575465 84.3301730 -40.8892797 22.8611891 -115.8662324 133 134 135 136 137 138 -26.6064823 5.7230606 114.6079718 -33.1929824 17.5955460 39.6827281 139 140 141 142 143 144 -27.2100325 -63.0796282 4.1705396 12.7747384 10.9538409 -19.5515706 > postscript(file="/var/wessaorg/rcomp/tmp/6xpad1353865784.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 = 144 Frequency = 1 lag(myerror, k = 1) myerror 0 -1.2680888 NA 1 -84.0264700 -1.2680888 2 -147.1567365 -84.0264700 3 -134.7374451 -147.1567365 4 -32.1558490 -134.7374451 5 -49.7412140 -32.1558490 6 -88.1355840 -49.7412140 7 -84.6904099 -88.1355840 8 -114.6492191 -84.6904099 9 -156.3647836 -114.6492191 10 -108.1265668 -156.3647836 11 305.3062588 -108.1265668 12 152.7710045 305.3062588 13 38.6284780 152.7710045 14 -6.0686358 38.6284780 15 -2.5381615 -6.0686358 16 -29.1691339 -2.5381615 17 9.2429156 -29.1691339 18 171.1739798 9.2429156 19 219.5739820 171.1739798 20 203.3884656 219.5739820 21 135.3861220 203.3884656 22 123.6229511 135.3861220 23 255.5710556 123.6229511 24 190.5919317 255.5710556 25 65.8256161 190.5919317 26 57.7672871 65.8256161 27 -65.8878233 57.7672871 28 -0.6218379 -65.8878233 29 -63.3631208 -0.6218379 30 57.7821425 -63.3631208 31 -113.7411692 57.7821425 32 54.8464657 -113.7411692 33 -44.7876235 54.8464657 34 12.8751991 -44.7876235 35 4.7492089 12.8751991 36 41.6947710 4.7492089 37 -70.1012162 41.6947710 38 -31.6294495 -70.1012162 39 52.4504589 -31.6294495 40 -118.3885038 52.4504589 41 3.5946660 -118.3885038 42 93.3525657 3.5946660 43 79.0734813 93.3525657 44 -15.1731781 79.0734813 45 58.4388363 -15.1731781 46 -72.0807557 58.4388363 47 9.8640613 -72.0807557 48 1.2739556 9.8640613 49 -18.8132104 1.2739556 50 -38.8743750 -18.8132104 51 -49.0551092 -38.8743750 52 -121.5001257 -49.0551092 53 -171.4400772 -121.5001257 54 -31.7201363 -171.4400772 55 -36.1666911 -31.7201363 56 -34.1952876 -36.1666911 57 -3.4564644 -34.1952876 58 -47.4263952 -3.4564644 59 14.3406938 -47.4263952 60 -38.4409066 14.3406938 61 -15.0392193 -38.4409066 62 -150.3853227 -15.0392193 63 -53.6757684 -150.3853227 64 36.9660842 -53.6757684 65 -63.8160073 36.9660842 66 24.1111424 -63.8160073 67 36.0041618 24.1111424 68 58.0202070 36.0041618 69 -19.7928929 58.0202070 70 -98.9456600 -19.7928929 71 -91.2528063 -98.9456600 72 55.9422776 -91.2528063 73 -34.5811190 55.9422776 74 10.5098217 -34.5811190 75 -106.7151319 10.5098217 76 16.6450882 -106.7151319 77 -80.2334924 16.6450882 78 -5.6712605 -80.2334924 79 154.8593935 -5.6712605 80 14.4317911 154.8593935 81 -106.0245449 14.4317911 82 3.6595644 -106.0245449 83 -20.7475242 3.6595644 84 -18.4410351 -20.7475242 85 -47.9936346 -18.4410351 86 63.7905970 -47.9936346 87 -84.7646203 63.7905970 88 -2.8286731 -84.7646203 89 -69.8009889 -2.8286731 90 58.6094230 -69.8009889 91 -8.5938441 58.6094230 92 3.9851149 -8.5938441 93 43.6200778 3.9851149 94 -3.9303790 43.6200778 95 -27.2888027 -3.9303790 96 52.1025086 -27.2888027 97 -63.4698586 52.1025086 98 12.5043425 -63.4698586 99 -31.3666909 12.5043425 100 12.6434806 -31.3666909 101 -36.3230963 12.6434806 102 117.1644235 -36.3230963 103 78.2872938 117.1644235 104 -67.7446953 78.2872938 105 -18.5214424 -67.7446953 106 -36.7122513 -18.5214424 107 15.7662532 -36.7122513 108 -1.9851967 15.7662532 109 41.6263826 -1.9851967 110 -0.1737503 41.6263826 111 -32.0835786 -0.1737503 112 -31.6693921 -32.0835786 113 2.7532676 -31.6693921 114 10.2719758 2.7532676 115 -35.5957297 10.2719758 116 54.6815416 -35.5957297 117 -61.5564116 54.6815416 118 21.7302029 -61.5564116 119 -54.3049325 21.7302029 120 -11.2085250 -54.3049325 121 -9.0434574 -11.2085250 122 34.5048597 -9.0434574 123 178.2908190 34.5048597 124 166.3540385 178.2908190 125 -8.8488754 166.3540385 126 41.2385521 -8.8488754 127 16.2575465 41.2385521 128 84.3301730 16.2575465 129 -40.8892797 84.3301730 130 22.8611891 -40.8892797 131 -115.8662324 22.8611891 132 -26.6064823 -115.8662324 133 5.7230606 -26.6064823 134 114.6079718 5.7230606 135 -33.1929824 114.6079718 136 17.5955460 -33.1929824 137 39.6827281 17.5955460 138 -27.2100325 39.6827281 139 -63.0796282 -27.2100325 140 4.1705396 -63.0796282 141 12.7747384 4.1705396 142 10.9538409 12.7747384 143 -19.5515706 10.9538409 144 NA -19.5515706 > dum1 <- dum[2:length(myerror),] > dum1 lag(myerror, k = 1) myerror [1,] -84.0264700 -1.2680888 [2,] -147.1567365 -84.0264700 [3,] -134.7374451 -147.1567365 [4,] -32.1558490 -134.7374451 [5,] -49.7412140 -32.1558490 [6,] -88.1355840 -49.7412140 [7,] -84.6904099 -88.1355840 [8,] -114.6492191 -84.6904099 [9,] -156.3647836 -114.6492191 [10,] -108.1265668 -156.3647836 [11,] 305.3062588 -108.1265668 [12,] 152.7710045 305.3062588 [13,] 38.6284780 152.7710045 [14,] -6.0686358 38.6284780 [15,] -2.5381615 -6.0686358 [16,] -29.1691339 -2.5381615 [17,] 9.2429156 -29.1691339 [18,] 171.1739798 9.2429156 [19,] 219.5739820 171.1739798 [20,] 203.3884656 219.5739820 [21,] 135.3861220 203.3884656 [22,] 123.6229511 135.3861220 [23,] 255.5710556 123.6229511 [24,] 190.5919317 255.5710556 [25,] 65.8256161 190.5919317 [26,] 57.7672871 65.8256161 [27,] -65.8878233 57.7672871 [28,] -0.6218379 -65.8878233 [29,] -63.3631208 -0.6218379 [30,] 57.7821425 -63.3631208 [31,] -113.7411692 57.7821425 [32,] 54.8464657 -113.7411692 [33,] -44.7876235 54.8464657 [34,] 12.8751991 -44.7876235 [35,] 4.7492089 12.8751991 [36,] 41.6947710 4.7492089 [37,] -70.1012162 41.6947710 [38,] -31.6294495 -70.1012162 [39,] 52.4504589 -31.6294495 [40,] -118.3885038 52.4504589 [41,] 3.5946660 -118.3885038 [42,] 93.3525657 3.5946660 [43,] 79.0734813 93.3525657 [44,] -15.1731781 79.0734813 [45,] 58.4388363 -15.1731781 [46,] -72.0807557 58.4388363 [47,] 9.8640613 -72.0807557 [48,] 1.2739556 9.8640613 [49,] -18.8132104 1.2739556 [50,] -38.8743750 -18.8132104 [51,] -49.0551092 -38.8743750 [52,] -121.5001257 -49.0551092 [53,] -171.4400772 -121.5001257 [54,] -31.7201363 -171.4400772 [55,] -36.1666911 -31.7201363 [56,] -34.1952876 -36.1666911 [57,] -3.4564644 -34.1952876 [58,] -47.4263952 -3.4564644 [59,] 14.3406938 -47.4263952 [60,] -38.4409066 14.3406938 [61,] -15.0392193 -38.4409066 [62,] -150.3853227 -15.0392193 [63,] -53.6757684 -150.3853227 [64,] 36.9660842 -53.6757684 [65,] -63.8160073 36.9660842 [66,] 24.1111424 -63.8160073 [67,] 36.0041618 24.1111424 [68,] 58.0202070 36.0041618 [69,] -19.7928929 58.0202070 [70,] -98.9456600 -19.7928929 [71,] -91.2528063 -98.9456600 [72,] 55.9422776 -91.2528063 [73,] -34.5811190 55.9422776 [74,] 10.5098217 -34.5811190 [75,] -106.7151319 10.5098217 [76,] 16.6450882 -106.7151319 [77,] -80.2334924 16.6450882 [78,] -5.6712605 -80.2334924 [79,] 154.8593935 -5.6712605 [80,] 14.4317911 154.8593935 [81,] -106.0245449 14.4317911 [82,] 3.6595644 -106.0245449 [83,] -20.7475242 3.6595644 [84,] -18.4410351 -20.7475242 [85,] -47.9936346 -18.4410351 [86,] 63.7905970 -47.9936346 [87,] -84.7646203 63.7905970 [88,] -2.8286731 -84.7646203 [89,] -69.8009889 -2.8286731 [90,] 58.6094230 -69.8009889 [91,] -8.5938441 58.6094230 [92,] 3.9851149 -8.5938441 [93,] 43.6200778 3.9851149 [94,] -3.9303790 43.6200778 [95,] -27.2888027 -3.9303790 [96,] 52.1025086 -27.2888027 [97,] -63.4698586 52.1025086 [98,] 12.5043425 -63.4698586 [99,] -31.3666909 12.5043425 [100,] 12.6434806 -31.3666909 [101,] -36.3230963 12.6434806 [102,] 117.1644235 -36.3230963 [103,] 78.2872938 117.1644235 [104,] -67.7446953 78.2872938 [105,] -18.5214424 -67.7446953 [106,] -36.7122513 -18.5214424 [107,] 15.7662532 -36.7122513 [108,] -1.9851967 15.7662532 [109,] 41.6263826 -1.9851967 [110,] -0.1737503 41.6263826 [111,] -32.0835786 -0.1737503 [112,] -31.6693921 -32.0835786 [113,] 2.7532676 -31.6693921 [114,] 10.2719758 2.7532676 [115,] -35.5957297 10.2719758 [116,] 54.6815416 -35.5957297 [117,] -61.5564116 54.6815416 [118,] 21.7302029 -61.5564116 [119,] -54.3049325 21.7302029 [120,] -11.2085250 -54.3049325 [121,] -9.0434574 -11.2085250 [122,] 34.5048597 -9.0434574 [123,] 178.2908190 34.5048597 [124,] 166.3540385 178.2908190 [125,] -8.8488754 166.3540385 [126,] 41.2385521 -8.8488754 [127,] 16.2575465 41.2385521 [128,] 84.3301730 16.2575465 [129,] -40.8892797 84.3301730 [130,] 22.8611891 -40.8892797 [131,] -115.8662324 22.8611891 [132,] -26.6064823 -115.8662324 [133,] 5.7230606 -26.6064823 [134,] 114.6079718 5.7230606 [135,] -33.1929824 114.6079718 [136,] 17.5955460 -33.1929824 [137,] 39.6827281 17.5955460 [138,] -27.2100325 39.6827281 [139,] -63.0796282 -27.2100325 [140,] 4.1705396 -63.0796282 [141,] 12.7747384 4.1705396 [142,] 10.9538409 12.7747384 [143,] -19.5515706 10.9538409 > z <- as.data.frame(dum1) > z lag(myerror, k = 1) myerror 1 -84.0264700 -1.2680888 2 -147.1567365 -84.0264700 3 -134.7374451 -147.1567365 4 -32.1558490 -134.7374451 5 -49.7412140 -32.1558490 6 -88.1355840 -49.7412140 7 -84.6904099 -88.1355840 8 -114.6492191 -84.6904099 9 -156.3647836 -114.6492191 10 -108.1265668 -156.3647836 11 305.3062588 -108.1265668 12 152.7710045 305.3062588 13 38.6284780 152.7710045 14 -6.0686358 38.6284780 15 -2.5381615 -6.0686358 16 -29.1691339 -2.5381615 17 9.2429156 -29.1691339 18 171.1739798 9.2429156 19 219.5739820 171.1739798 20 203.3884656 219.5739820 21 135.3861220 203.3884656 22 123.6229511 135.3861220 23 255.5710556 123.6229511 24 190.5919317 255.5710556 25 65.8256161 190.5919317 26 57.7672871 65.8256161 27 -65.8878233 57.7672871 28 -0.6218379 -65.8878233 29 -63.3631208 -0.6218379 30 57.7821425 -63.3631208 31 -113.7411692 57.7821425 32 54.8464657 -113.7411692 33 -44.7876235 54.8464657 34 12.8751991 -44.7876235 35 4.7492089 12.8751991 36 41.6947710 4.7492089 37 -70.1012162 41.6947710 38 -31.6294495 -70.1012162 39 52.4504589 -31.6294495 40 -118.3885038 52.4504589 41 3.5946660 -118.3885038 42 93.3525657 3.5946660 43 79.0734813 93.3525657 44 -15.1731781 79.0734813 45 58.4388363 -15.1731781 46 -72.0807557 58.4388363 47 9.8640613 -72.0807557 48 1.2739556 9.8640613 49 -18.8132104 1.2739556 50 -38.8743750 -18.8132104 51 -49.0551092 -38.8743750 52 -121.5001257 -49.0551092 53 -171.4400772 -121.5001257 54 -31.7201363 -171.4400772 55 -36.1666911 -31.7201363 56 -34.1952876 -36.1666911 57 -3.4564644 -34.1952876 58 -47.4263952 -3.4564644 59 14.3406938 -47.4263952 60 -38.4409066 14.3406938 61 -15.0392193 -38.4409066 62 -150.3853227 -15.0392193 63 -53.6757684 -150.3853227 64 36.9660842 -53.6757684 65 -63.8160073 36.9660842 66 24.1111424 -63.8160073 67 36.0041618 24.1111424 68 58.0202070 36.0041618 69 -19.7928929 58.0202070 70 -98.9456600 -19.7928929 71 -91.2528063 -98.9456600 72 55.9422776 -91.2528063 73 -34.5811190 55.9422776 74 10.5098217 -34.5811190 75 -106.7151319 10.5098217 76 16.6450882 -106.7151319 77 -80.2334924 16.6450882 78 -5.6712605 -80.2334924 79 154.8593935 -5.6712605 80 14.4317911 154.8593935 81 -106.0245449 14.4317911 82 3.6595644 -106.0245449 83 -20.7475242 3.6595644 84 -18.4410351 -20.7475242 85 -47.9936346 -18.4410351 86 63.7905970 -47.9936346 87 -84.7646203 63.7905970 88 -2.8286731 -84.7646203 89 -69.8009889 -2.8286731 90 58.6094230 -69.8009889 91 -8.5938441 58.6094230 92 3.9851149 -8.5938441 93 43.6200778 3.9851149 94 -3.9303790 43.6200778 95 -27.2888027 -3.9303790 96 52.1025086 -27.2888027 97 -63.4698586 52.1025086 98 12.5043425 -63.4698586 99 -31.3666909 12.5043425 100 12.6434806 -31.3666909 101 -36.3230963 12.6434806 102 117.1644235 -36.3230963 103 78.2872938 117.1644235 104 -67.7446953 78.2872938 105 -18.5214424 -67.7446953 106 -36.7122513 -18.5214424 107 15.7662532 -36.7122513 108 -1.9851967 15.7662532 109 41.6263826 -1.9851967 110 -0.1737503 41.6263826 111 -32.0835786 -0.1737503 112 -31.6693921 -32.0835786 113 2.7532676 -31.6693921 114 10.2719758 2.7532676 115 -35.5957297 10.2719758 116 54.6815416 -35.5957297 117 -61.5564116 54.6815416 118 21.7302029 -61.5564116 119 -54.3049325 21.7302029 120 -11.2085250 -54.3049325 121 -9.0434574 -11.2085250 122 34.5048597 -9.0434574 123 178.2908190 34.5048597 124 166.3540385 178.2908190 125 -8.8488754 166.3540385 126 41.2385521 -8.8488754 127 16.2575465 41.2385521 128 84.3301730 16.2575465 129 -40.8892797 84.3301730 130 22.8611891 -40.8892797 131 -115.8662324 22.8611891 132 -26.6064823 -115.8662324 133 5.7230606 -26.6064823 134 114.6079718 5.7230606 135 -33.1929824 114.6079718 136 17.5955460 -33.1929824 137 39.6827281 17.5955460 138 -27.2100325 39.6827281 139 -63.0796282 -27.2100325 140 4.1705396 -63.0796282 141 12.7747384 4.1705396 142 10.9538409 12.7747384 143 -19.5515706 10.9538409 > 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/7dp9n1353865784.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > acf(mysum$resid, lag.max=length(mysum$resid)/2, main='Residual Autocorrelation Function') > grid() > dev.off() null device 1 > postscript(file="/var/wessaorg/rcomp/tmp/8yw6b1353865784.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > pacf(mysum$resid, lag.max=length(mysum$resid)/2, main='Residual Partial Autocorrelation Function') > grid() > dev.off() null device 1 > postscript(file="/var/wessaorg/rcomp/tmp/92byf1353865784.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > opar <- par(mfrow = c(2,2), oma = c(0, 0, 1.1, 0)) > plot(mylm, las = 1, sub='Residual Diagnostics') > par(opar) > dev.off() null device 1 > if (n > n25) { + postscript(file="/var/wessaorg/rcomp/tmp/10k2xc1353865784.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) + plot(kp3:nmkm3,gqarr[,2], main='Goldfeld-Quandt test',ylab='2-sided p-value',xlab='breakpoint') + grid() + dev.off() + } null device 1 > > #Note: the /var/wessaorg/rcomp/createtable file can be downloaded at http://www.wessa.net/cretab > load(file="/var/wessaorg/rcomp/createtable") > > a<-table.start() > a<-table.row.start(a) > a<-table.element(a, 'Multiple Linear Regression - Estimated Regression Equation', 1, TRUE) > a<-table.row.end(a) > myeq <- colnames(x)[1] > myeq <- paste(myeq, '[t] = ', sep='') > for (i in 1:k){ + if (mysum$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/11ayi81353865784.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/12znep1353865784.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/13i4ww1353865784.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/146acc1353865784.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/15li5h1353865784.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/16nrtv1353865784.tab") + } > > try(system("convert tmp/1z92s1353865784.ps tmp/1z92s1353865784.png",intern=TRUE)) character(0) > try(system("convert tmp/2u2ak1353865784.ps tmp/2u2ak1353865784.png",intern=TRUE)) character(0) > try(system("convert tmp/3csfb1353865784.ps tmp/3csfb1353865784.png",intern=TRUE)) character(0) > try(system("convert tmp/4lwm01353865784.ps tmp/4lwm01353865784.png",intern=TRUE)) character(0) > try(system("convert tmp/5i2m21353865784.ps tmp/5i2m21353865784.png",intern=TRUE)) character(0) > try(system("convert tmp/6xpad1353865784.ps tmp/6xpad1353865784.png",intern=TRUE)) character(0) > try(system("convert tmp/7dp9n1353865784.ps tmp/7dp9n1353865784.png",intern=TRUE)) character(0) > try(system("convert tmp/8yw6b1353865784.ps tmp/8yw6b1353865784.png",intern=TRUE)) character(0) > try(system("convert tmp/92byf1353865784.ps tmp/92byf1353865784.png",intern=TRUE)) character(0) > try(system("convert tmp/10k2xc1353865784.ps tmp/10k2xc1353865784.png",intern=TRUE)) character(0) > > > proc.time() user system elapsed 7.131 1.103 8.270