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(22 + ,37.6 + ,29.2 + ,.488 + ,.393 + ,.861 + ,19 + ,36.3 + ,27.7 + ,.465 + ,.449 + ,.804 + ,21 + ,39.4 + ,27.0 + ,.506 + ,.440 + ,.895 + ,19 + ,37.7 + ,25.2 + ,.543 + ,.441 + ,.664 + ,19 + ,38.9 + ,24.7 + ,.429 + ,.345 + ,.844 + ,11 + ,35.4 + ,23.4 + ,.470 + ,.423 + ,.817 + ,21 + ,35.8 + ,21.5 + ,.423 + ,.363 + ,.770 + ,9 + ,34.5 + ,21.2 + ,.382 + ,.216 + ,.674 + ,20 + ,38.2 + ,21.0 + ,.457 + ,.000 + ,.798 + ,21 + ,34.9 + ,20.8 + ,.487 + ,.530 + ,.841 + ,16 + ,33.6 + ,20.2 + ,.506 + ,.308 + ,.780 + ,21 + ,37.2 + ,20.0 + ,.431 + ,.433 + ,.893 + ,20 + ,33.8 + ,19.2 + ,.415 + ,.348 + ,.818 + ,18 + ,37.2 + ,19.0 + ,.418 + ,.371 + ,.776 + ,20 + ,32.4 + ,18.9 + ,.513 + ,.364 + ,.797 + ,21 + ,37.4 + ,18.8 + ,.514 + ,.000 + ,.789 + ,19 + ,35.3 + ,18.7 + ,.398 + ,.210 + ,.856 + ,14 + ,29.7 + ,18.5 + ,.534 + ,.000 + ,.638 + ,22 + ,37.5 + ,18.5 + ,.450 + ,.294 + ,.796 + ,21 + ,37.8 + ,18.4 + ,.421 + ,.367 + ,.831 + ,22 + ,36.6 + ,18.4 + ,.577 + ,.500 + 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+ ,14.6 + ,.398 + ,.324 + ,.843 + ,20 + ,27.3 + ,14.5 + ,.378 + ,.237 + ,.839 + ,20 + ,30.3 + ,14.5 + ,.477 + ,.000 + ,.673 + ,17 + ,34.6 + ,14.4 + ,.459 + ,.446 + ,.817 + ,21 + ,31.5 + ,14.3 + ,.592 + ,.214 + ,.870 + ,19 + ,26.1 + ,14.3 + ,.539 + ,.000 + ,.814 + ,18 + ,32.5 + ,14.2 + ,.454 + ,.373 + ,.946 + ,18 + ,23.4 + ,14.2 + ,.450 + ,.471 + ,.850 + ,22 + ,35.6 + ,14.1 + ,.431 + ,.349 + ,.690 + ,18 + ,24.9 + ,14.0 + ,.419 + ,.341 + ,.877 + ,15 + ,27.1 + ,13.9 + ,.455 + ,.375 + ,.930 + ,19 + ,31.2 + ,13.8 + ,.431 + ,.337 + ,.914 + ,21 + ,32.7 + ,13.8 + ,.392 + ,.354 + ,.820 + ,22 + ,27.8 + ,13.6 + ,.415 + ,.329 + ,.851 + ,16 + ,30.8 + ,13.6 + ,.474 + ,.000 + ,.757 + ,20 + ,39.9 + ,13.6 + ,.477 + ,.000 + ,.802 + ,18 + ,32.1 + ,13.5 + ,.432 + ,.383 + ,.868 + ,19 + ,29.6 + ,13.4 + ,.502 + ,.308 + ,.792 + ,21 + ,26.2 + ,13.3 + ,.563 + ,.000 + ,.788 + ,20 + ,26.9 + ,13.3 + ,.405 + ,.327 + ,.814 + ,17 + ,37.3 + ,13.0 + ,.514 + ,.250 + ,.595 + ,13 + ,33.4 + ,12.9 + ,.396 + ,.303 + ,.957 + ,22 + ,26.6 + ,12.9 + ,.482 + ,.200 + ,.816 + ,24 + ,33.0 + ,12.8 + ,.466 + ,.423 + ,.845 + ,21 + ,23.4 + ,12.7 + ,.416 + ,.398 + ,.786 + ,14 + ,36.0 + ,12.6 + ,.520 + ,.360 + ,.714 + ,22 + ,34.9 + ,12.6 + ,.418 + ,.383 + ,.732 + ,17 + ,34.8 + ,12.6 + ,.420 + ,.286 + ,.759 + ,17 + ,30.2 + ,12.5 + ,.422 + ,.389 + ,.750 + ,20 + ,31.2 + ,12.5 + ,.448 + ,.286 + ,.893 + ,7 + ,23.4 + ,12.4 + ,.441 + ,.583 + ,.741 + ,22 + ,25.4 + ,12.4 + ,.406 + ,.303 + ,.825 + ,21 + ,30.7 + ,12.4 + ,.698 + ,.000 + ,.717 + ,22 + ,33.4 + ,12.3 + ,.406 + ,.282 + ,.846 + ,19 + ,26.9 + ,12.3 + ,.487 + ,.474 + ,.857) + ,dim=c(6 + ,99) + ,dimnames=list(c('GP' + ,'MPG' + ,'PTS' + ,'FG%' + ,'3P%' + ,'FT%') + ,1:99)) > y <- array(NA,dim=c(6,99),dimnames=list(c('GP','MPG','PTS','FG%','3P%','FT%'),1:99)) > 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 = '3' > par3 <- 'No Linear Trend' > par2 <- 'Do not include Seasonal Dummies' > par1 <- '3' > #'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 PTS GP MPG FG% 3P% FT% 1 29.2 22 37.6 0.488 0.393 0.861 2 27.7 19 36.3 0.465 0.449 0.804 3 27.0 21 39.4 0.506 0.440 0.895 4 25.2 19 37.7 0.543 0.441 0.664 5 24.7 19 38.9 0.429 0.345 0.844 6 23.4 11 35.4 0.470 0.423 0.817 7 21.5 21 35.8 0.423 0.363 0.770 8 21.2 9 34.5 0.382 0.216 0.674 9 21.0 20 38.2 0.457 0.000 0.798 10 20.8 21 34.9 0.487 0.530 0.841 11 20.2 16 33.6 0.506 0.308 0.780 12 20.0 21 37.2 0.431 0.433 0.893 13 19.2 20 33.8 0.415 0.348 0.818 14 19.0 18 37.2 0.418 0.371 0.776 15 18.9 20 32.4 0.513 0.364 0.797 16 18.8 21 37.4 0.514 0.000 0.789 17 18.7 19 35.3 0.398 0.210 0.856 18 18.5 14 29.7 0.534 0.000 0.638 19 18.5 22 37.5 0.450 0.294 0.796 20 18.4 21 37.8 0.421 0.367 0.831 21 18.4 22 36.6 0.577 0.500 0.488 22 18.4 20 33.0 0.466 0.429 0.880 23 18.3 19 33.6 0.534 0.214 0.841 24 18.1 21 32.8 0.527 0.143 0.617 25 18.0 21 38.4 0.450 0.349 0.763 26 17.8 20 41.1 0.447 0.328 0.838 27 17.7 21 30.3 0.517 0.667 0.796 28 17.7 20 35.4 0.421 0.313 0.802 29 17.6 18 36.7 0.498 0.000 0.742 30 17.5 21 29.5 0.445 0.387 0.933 31 17.5 21 34.4 0.505 0.000 0.741 32 17.3 17 35.3 0.447 0.462 0.537 33 17.2 21 33.2 0.486 0.200 0.810 34 17.2 18 30.7 0.434 0.167 0.747 35 17.2 19 36.4 0.406 0.379 0.833 36 16.9 20 36.7 0.391 0.272 0.827 37 16.8 17 37.5 0.545 0.000 0.564 38 16.4 20 37.7 0.423 0.363 0.829 39 16.2 21 33.5 0.480 0.323 0.894 40 16.1 20 35.1 0.449 0.320 0.847 41 16.1 20 32.8 0.441 0.000 0.720 42 16.0 21 32.7 0.398 0.319 0.828 43 16.0 20 37.7 0.416 0.352 0.787 44 16.0 20 37.3 0.428 0.389 0.727 45 16.0 20 28.8 0.546 0.000 0.787 46 15.9 21 35.5 0.405 0.361 0.829 47 15.8 16 31.0 0.406 0.342 0.818 48 15.8 21 29.5 0.471 0.479 0.926 49 15.8 21 33.4 0.405 0.404 0.744 50 15.6 19 37.6 0.449 0.385 0.755 51 15.6 7 27.8 0.500 0.000 0.853 52 15.5 15 32.5 0.453 0.308 0.794 53 15.4 21 35.4 0.412 0.398 0.830 54 15.2 21 33.6 0.378 0.280 0.802 55 15.2 21 35.6 0.530 0.000 0.600 56 15.2 17 32.0 0.363 0.355 0.780 57 15.1 21 32.3 0.462 0.367 0.744 58 15.0 21 35.7 0.437 0.459 0.786 59 15.0 22 31.3 0.461 0.478 0.713 60 15.0 24 32.1 0.451 0.000 0.709 61 14.8 18 26.5 0.413 0.307 0.794 62 14.8 21 36.4 0.498 0.000 0.753 63 14.7 22 36.4 0.422 0.349 0.658 64 14.7 24 32.0 0.428 0.427 0.780 65 14.6 21 35.5 0.398 0.324 0.843 66 14.5 20 27.3 0.378 0.237 0.839 67 14.5 20 30.3 0.477 0.000 0.673 68 14.4 17 34.6 0.459 0.446 0.817 69 14.3 21 31.5 0.592 0.214 0.870 70 14.3 19 26.1 0.539 0.000 0.814 71 14.2 18 32.5 0.454 0.373 0.946 72 14.2 18 23.4 0.450 0.471 0.850 73 14.1 22 35.6 0.431 0.349 0.690 74 14.0 18 24.9 0.419 0.341 0.877 75 13.9 15 27.1 0.455 0.375 0.930 76 13.8 19 31.2 0.431 0.337 0.914 77 13.8 21 32.7 0.392 0.354 0.820 78 13.6 22 27.8 0.415 0.329 0.851 79 13.6 16 30.8 0.474 0.000 0.757 80 13.6 20 39.9 0.477 0.000 0.802 81 13.5 18 32.1 0.432 0.383 0.868 82 13.4 19 29.6 0.502 0.308 0.792 83 13.3 21 26.2 0.563 0.000 0.788 84 13.3 20 26.9 0.405 0.327 0.814 85 13.0 17 37.3 0.514 0.250 0.595 86 12.9 13 33.4 0.396 0.303 0.957 87 12.9 22 26.6 0.482 0.200 0.816 88 12.8 24 33.0 0.466 0.423 0.845 89 12.7 21 23.4 0.416 0.398 0.786 90 12.6 14 36.0 0.520 0.360 0.714 91 12.6 22 34.9 0.418 0.383 0.732 92 12.6 17 34.8 0.420 0.286 0.759 93 12.5 17 30.2 0.422 0.389 0.750 94 12.5 20 31.2 0.448 0.286 0.893 95 12.4 7 23.4 0.441 0.583 0.741 96 12.4 22 25.4 0.406 0.303 0.825 97 12.4 21 30.7 0.698 0.000 0.717 98 12.3 22 33.4 0.406 0.282 0.846 99 12.3 19 26.9 0.487 0.474 0.857 > k <- length(x[1,]) > df <- as.data.frame(x) > (mylm <- lm(df)) Call: lm(formula = df) Coefficients: (Intercept) GP MPG `FG%` `3P%` `FT%` -8.2538 -0.1387 0.4756 13.8023 3.6688 5.2125 > (mysum <- summary(mylm)) Call: lm(formula = df) Residuals: Min 1Q Median 3Q Max -6.5438 -1.9826 0.1023 1.4189 9.9596 Coefficients: Estimate Std. Error t value Pr(>|t|) (Intercept) -8.25379 5.65529 -1.459 0.1478 GP -0.13875 0.09705 -1.430 0.1562 MPG 0.47557 0.07607 6.251 1.22e-08 *** `FG%` 13.80233 5.97421 2.310 0.0231 * `3P%` 3.66884 1.98263 1.850 0.0674 . `FT%` 5.21248 3.71958 1.401 0.1644 --- Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 Residual standard error: 2.901 on 93 degrees of freedom Multiple R-squared: 0.3254, Adjusted R-squared: 0.2891 F-statistic: 8.971 on 5 and 93 DF, p-value: 5.532e-07 > 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,] 0.8668701 2.662597e-01 1.331299e-01 [2,] 0.9673404 6.531928e-02 3.265964e-02 [3,] 0.9502219 9.955623e-02 4.977812e-02 [4,] 0.9866181 2.676373e-02 1.338186e-02 [5,] 0.9808747 3.825050e-02 1.912525e-02 [6,] 0.9937331 1.253370e-02 6.266852e-03 [7,] 0.9922327 1.553459e-02 7.767296e-03 [8,] 0.9926370 1.472606e-02 7.363031e-03 [9,] 0.9904383 1.912342e-02 9.561709e-03 [10,] 0.9947780 1.044398e-02 5.221988e-03 [11,] 0.9970260 5.947932e-03 2.973966e-03 [12,] 0.9983683 3.263391e-03 1.631695e-03 [13,] 0.9990958 1.808483e-03 9.042415e-04 [14,] 0.9993646 1.270804e-03 6.354020e-04 [15,] 0.9996607 6.786415e-04 3.393208e-04 [16,] 0.9997539 4.921794e-04 2.460897e-04 [17,] 0.9998888 2.224904e-04 1.112452e-04 [18,] 0.9999893 2.131112e-05 1.065556e-05 [19,] 0.9999969 6.147446e-06 3.073723e-06 [20,] 0.9999969 6.119612e-06 3.059806e-06 [21,] 0.9999973 5.351722e-06 2.675861e-06 [22,] 0.9999987 2.603818e-06 1.301909e-06 [23,] 0.9999987 2.625577e-06 1.312789e-06 [24,] 0.9999991 1.895959e-06 9.479794e-07 [25,] 0.9999993 1.387658e-06 6.938289e-07 [26,] 0.9999996 8.040155e-07 4.020077e-07 [27,] 0.9999998 4.074057e-07 2.037028e-07 [28,] 0.9999998 4.443814e-07 2.221907e-07 [29,] 0.9999999 2.487632e-07 1.243816e-07 [30,] 0.9999999 1.186246e-07 5.931230e-08 [31,] 1.0000000 5.413946e-08 2.706973e-08 [32,] 1.0000000 3.445743e-08 1.722872e-08 [33,] 1.0000000 4.685140e-08 2.342570e-08 [34,] 1.0000000 6.389955e-08 3.194977e-08 [35,] 1.0000000 5.081122e-08 2.540561e-08 [36,] 1.0000000 4.268504e-08 2.134252e-08 [37,] 1.0000000 2.933064e-08 1.466532e-08 [38,] 1.0000000 3.306303e-08 1.653151e-08 [39,] 1.0000000 3.086241e-08 1.543120e-08 [40,] 1.0000000 1.060375e-08 5.301873e-09 [41,] 1.0000000 1.058929e-08 5.294643e-09 [42,] 1.0000000 4.140010e-09 2.070005e-09 [43,] 1.0000000 1.040522e-09 5.202610e-10 [44,] 1.0000000 4.177240e-10 2.088620e-10 [45,] 1.0000000 3.940221e-10 1.970111e-10 [46,] 1.0000000 7.295226e-10 3.647613e-10 [47,] 1.0000000 1.051888e-09 5.259440e-10 [48,] 1.0000000 1.218363e-09 6.091817e-10 [49,] 1.0000000 1.284406e-09 6.422030e-10 [50,] 1.0000000 9.106971e-10 4.553485e-10 [51,] 1.0000000 6.514187e-10 3.257094e-10 [52,] 1.0000000 1.125574e-09 5.627871e-10 [53,] 1.0000000 1.069903e-09 5.349515e-10 [54,] 1.0000000 1.325444e-09 6.627219e-10 [55,] 1.0000000 1.299067e-09 6.495336e-10 [56,] 1.0000000 1.036115e-09 5.180577e-10 [57,] 1.0000000 1.145753e-09 5.728766e-10 [58,] 1.0000000 1.616537e-09 8.082686e-10 [59,] 1.0000000 1.368057e-09 6.840284e-10 [60,] 1.0000000 5.477181e-10 2.738590e-10 [61,] 1.0000000 4.401737e-10 2.200868e-10 [62,] 1.0000000 7.484130e-10 3.742065e-10 [63,] 1.0000000 8.556803e-10 4.278402e-10 [64,] 1.0000000 5.741407e-10 2.870703e-10 [65,] 1.0000000 2.336030e-10 1.168015e-10 [66,] 1.0000000 3.793394e-10 1.896697e-10 [67,] 1.0000000 4.869452e-10 2.434726e-10 [68,] 1.0000000 6.724092e-10 3.362046e-10 [69,] 1.0000000 7.784855e-10 3.892428e-10 [70,] 1.0000000 1.117583e-09 5.587915e-10 [71,] 1.0000000 5.548554e-09 2.774277e-09 [72,] 1.0000000 1.556448e-08 7.782238e-09 [73,] 1.0000000 1.314271e-08 6.571355e-09 [74,] 1.0000000 1.071373e-08 5.356863e-09 [75,] 1.0000000 3.737700e-08 1.868850e-08 [76,] 1.0000000 2.918127e-08 1.459063e-08 [77,] 1.0000000 9.087781e-08 4.543891e-08 [78,] 0.9999998 3.223031e-07 1.611516e-07 [79,] 0.9999997 5.336919e-07 2.668460e-07 [80,] 0.9999986 2.704987e-06 1.352493e-06 [81,] 0.9999954 9.275908e-06 4.637954e-06 [82,] 0.9998890 2.219873e-04 1.109936e-04 > postscript(file="/var/fisher/rcomp/tmp/1gj471355338420.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$resid) > grid() > dev.off() null device 1 > postscript(file="/var/fisher/rcomp/tmp/2rfry1355338420.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > plot(mysum$resid, type='b', pch=19, main='Residuals', ylab='value of Residuals', xlab='time or index') > grid() > dev.off() null device 1 > postscript(file="/var/fisher/rcomp/tmp/367fc1355338420.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > hist(mysum$resid, main='Residual Histogram', xlab='values of Residuals') > grid() > dev.off() null device 1 > postscript(file="/var/fisher/rcomp/tmp/4bv4t1355338420.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > densityplot(~mysum$resid,col='black',main='Residual Density Plot', xlab='values of Residuals') > dev.off() null device 1 > postscript(file="/var/fisher/rcomp/tmp/5ojra1355338420.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 = 99 Frequency = 1 1 2 3 4 5 6 9.95962390 9.07072967 6.16675889 5.58745382 5.50420462 4.04738413 7 8 9 10 11 12 4.45844705 4.71733926 3.39490407 2.32032441 2.51502648 1.28428401 13 14 15 16 17 18 2.88608334 0.88480329 1.95000622 0.97428158 2.07685470 3.87594615 19 20 21 22 23 24 0.53369506 0.10228515 -0.04153083 1.14226691 0.67170958 2.65435269 25 26 27 28 29 30 -0.56283414 -2.45808923 0.72578436 0.75417415 0.15676213 2.21316992 31 32 33 34 35 36 1.47539670 0.46128055 0.91489069 2.85474371 -0.55683223 -0.22987995 37 38 39 40 41 42 -0.88332515 -1.99140896 -1.03407991 -1.34986500 1.69036601 0.63686241 43 44 45 46 47 48 -2.03551139 -1.83391181 1.69414525 -1.05063983 0.40891459 -0.14673655 49 50 51 52 53 54 0.13334729 -2.93645061 0.25689301 -1.14204910 -1.74065915 -0.03649039 55 56 57 58 59 60 -1.00538061 0.21597537 -0.69451721 -2.62283721 -0.41205779 1.39756047 61 62 63 64 65 66 1.98334237 -2.14166683 -1.83918233 -0.47410896 -2.19125115 2.08572177 67 68 69 70 71 72 1.02738104 -3.67224387 -3.00380849 1.09530419 -3.07038355 1.45331962 73 74 75 76 77 78 -2.34975053 1.30405646 -1.15631127 -2.09707158 -1.56703310 0.31466253 79 80 81 82 83 84 -1.06182752 -5.11045317 -2.90662137 -1.97381482 0.12950854 0.50340124 85 86 87 88 89 90 -5.23913602 -4.49210654 -0.08369905 -3.69829838 1.44026143 -6.54381105 91 92 93 94 95 96 -3.68108911 -4.13972812 -2.41071145 -3.19639228 -1.59141809 0.61115390 97 98 99 -4.40376372 -3.32578314 -2.53059215 > postscript(file="/var/fisher/rcomp/tmp/6cs7s1355338420.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 = 99 Frequency = 1 lag(myerror, k = 1) myerror 0 9.95962390 NA 1 9.07072967 9.95962390 2 6.16675889 9.07072967 3 5.58745382 6.16675889 4 5.50420462 5.58745382 5 4.04738413 5.50420462 6 4.45844705 4.04738413 7 4.71733926 4.45844705 8 3.39490407 4.71733926 9 2.32032441 3.39490407 10 2.51502648 2.32032441 11 1.28428401 2.51502648 12 2.88608334 1.28428401 13 0.88480329 2.88608334 14 1.95000622 0.88480329 15 0.97428158 1.95000622 16 2.07685470 0.97428158 17 3.87594615 2.07685470 18 0.53369506 3.87594615 19 0.10228515 0.53369506 20 -0.04153083 0.10228515 21 1.14226691 -0.04153083 22 0.67170958 1.14226691 23 2.65435269 0.67170958 24 -0.56283414 2.65435269 25 -2.45808923 -0.56283414 26 0.72578436 -2.45808923 27 0.75417415 0.72578436 28 0.15676213 0.75417415 29 2.21316992 0.15676213 30 1.47539670 2.21316992 31 0.46128055 1.47539670 32 0.91489069 0.46128055 33 2.85474371 0.91489069 34 -0.55683223 2.85474371 35 -0.22987995 -0.55683223 36 -0.88332515 -0.22987995 37 -1.99140896 -0.88332515 38 -1.03407991 -1.99140896 39 -1.34986500 -1.03407991 40 1.69036601 -1.34986500 41 0.63686241 1.69036601 42 -2.03551139 0.63686241 43 -1.83391181 -2.03551139 44 1.69414525 -1.83391181 45 -1.05063983 1.69414525 46 0.40891459 -1.05063983 47 -0.14673655 0.40891459 48 0.13334729 -0.14673655 49 -2.93645061 0.13334729 50 0.25689301 -2.93645061 51 -1.14204910 0.25689301 52 -1.74065915 -1.14204910 53 -0.03649039 -1.74065915 54 -1.00538061 -0.03649039 55 0.21597537 -1.00538061 56 -0.69451721 0.21597537 57 -2.62283721 -0.69451721 58 -0.41205779 -2.62283721 59 1.39756047 -0.41205779 60 1.98334237 1.39756047 61 -2.14166683 1.98334237 62 -1.83918233 -2.14166683 63 -0.47410896 -1.83918233 64 -2.19125115 -0.47410896 65 2.08572177 -2.19125115 66 1.02738104 2.08572177 67 -3.67224387 1.02738104 68 -3.00380849 -3.67224387 69 1.09530419 -3.00380849 70 -3.07038355 1.09530419 71 1.45331962 -3.07038355 72 -2.34975053 1.45331962 73 1.30405646 -2.34975053 74 -1.15631127 1.30405646 75 -2.09707158 -1.15631127 76 -1.56703310 -2.09707158 77 0.31466253 -1.56703310 78 -1.06182752 0.31466253 79 -5.11045317 -1.06182752 80 -2.90662137 -5.11045317 81 -1.97381482 -2.90662137 82 0.12950854 -1.97381482 83 0.50340124 0.12950854 84 -5.23913602 0.50340124 85 -4.49210654 -5.23913602 86 -0.08369905 -4.49210654 87 -3.69829838 -0.08369905 88 1.44026143 -3.69829838 89 -6.54381105 1.44026143 90 -3.68108911 -6.54381105 91 -4.13972812 -3.68108911 92 -2.41071145 -4.13972812 93 -3.19639228 -2.41071145 94 -1.59141809 -3.19639228 95 0.61115390 -1.59141809 96 -4.40376372 0.61115390 97 -3.32578314 -4.40376372 98 -2.53059215 -3.32578314 99 NA -2.53059215 > dum1 <- dum[2:length(myerror),] > dum1 lag(myerror, k = 1) myerror [1,] 9.07072967 9.95962390 [2,] 6.16675889 9.07072967 [3,] 5.58745382 6.16675889 [4,] 5.50420462 5.58745382 [5,] 4.04738413 5.50420462 [6,] 4.45844705 4.04738413 [7,] 4.71733926 4.45844705 [8,] 3.39490407 4.71733926 [9,] 2.32032441 3.39490407 [10,] 2.51502648 2.32032441 [11,] 1.28428401 2.51502648 [12,] 2.88608334 1.28428401 [13,] 0.88480329 2.88608334 [14,] 1.95000622 0.88480329 [15,] 0.97428158 1.95000622 [16,] 2.07685470 0.97428158 [17,] 3.87594615 2.07685470 [18,] 0.53369506 3.87594615 [19,] 0.10228515 0.53369506 [20,] -0.04153083 0.10228515 [21,] 1.14226691 -0.04153083 [22,] 0.67170958 1.14226691 [23,] 2.65435269 0.67170958 [24,] -0.56283414 2.65435269 [25,] -2.45808923 -0.56283414 [26,] 0.72578436 -2.45808923 [27,] 0.75417415 0.72578436 [28,] 0.15676213 0.75417415 [29,] 2.21316992 0.15676213 [30,] 1.47539670 2.21316992 [31,] 0.46128055 1.47539670 [32,] 0.91489069 0.46128055 [33,] 2.85474371 0.91489069 [34,] -0.55683223 2.85474371 [35,] -0.22987995 -0.55683223 [36,] -0.88332515 -0.22987995 [37,] -1.99140896 -0.88332515 [38,] -1.03407991 -1.99140896 [39,] -1.34986500 -1.03407991 [40,] 1.69036601 -1.34986500 [41,] 0.63686241 1.69036601 [42,] -2.03551139 0.63686241 [43,] -1.83391181 -2.03551139 [44,] 1.69414525 -1.83391181 [45,] -1.05063983 1.69414525 [46,] 0.40891459 -1.05063983 [47,] -0.14673655 0.40891459 [48,] 0.13334729 -0.14673655 [49,] -2.93645061 0.13334729 [50,] 0.25689301 -2.93645061 [51,] -1.14204910 0.25689301 [52,] -1.74065915 -1.14204910 [53,] -0.03649039 -1.74065915 [54,] -1.00538061 -0.03649039 [55,] 0.21597537 -1.00538061 [56,] -0.69451721 0.21597537 [57,] -2.62283721 -0.69451721 [58,] -0.41205779 -2.62283721 [59,] 1.39756047 -0.41205779 [60,] 1.98334237 1.39756047 [61,] -2.14166683 1.98334237 [62,] -1.83918233 -2.14166683 [63,] -0.47410896 -1.83918233 [64,] -2.19125115 -0.47410896 [65,] 2.08572177 -2.19125115 [66,] 1.02738104 2.08572177 [67,] -3.67224387 1.02738104 [68,] -3.00380849 -3.67224387 [69,] 1.09530419 -3.00380849 [70,] -3.07038355 1.09530419 [71,] 1.45331962 -3.07038355 [72,] -2.34975053 1.45331962 [73,] 1.30405646 -2.34975053 [74,] -1.15631127 1.30405646 [75,] -2.09707158 -1.15631127 [76,] -1.56703310 -2.09707158 [77,] 0.31466253 -1.56703310 [78,] -1.06182752 0.31466253 [79,] -5.11045317 -1.06182752 [80,] -2.90662137 -5.11045317 [81,] -1.97381482 -2.90662137 [82,] 0.12950854 -1.97381482 [83,] 0.50340124 0.12950854 [84,] -5.23913602 0.50340124 [85,] -4.49210654 -5.23913602 [86,] -0.08369905 -4.49210654 [87,] -3.69829838 -0.08369905 [88,] 1.44026143 -3.69829838 [89,] -6.54381105 1.44026143 [90,] -3.68108911 -6.54381105 [91,] -4.13972812 -3.68108911 [92,] -2.41071145 -4.13972812 [93,] -3.19639228 -2.41071145 [94,] -1.59141809 -3.19639228 [95,] 0.61115390 -1.59141809 [96,] -4.40376372 0.61115390 [97,] -3.32578314 -4.40376372 [98,] -2.53059215 -3.32578314 > z <- as.data.frame(dum1) > z lag(myerror, k = 1) myerror 1 9.07072967 9.95962390 2 6.16675889 9.07072967 3 5.58745382 6.16675889 4 5.50420462 5.58745382 5 4.04738413 5.50420462 6 4.45844705 4.04738413 7 4.71733926 4.45844705 8 3.39490407 4.71733926 9 2.32032441 3.39490407 10 2.51502648 2.32032441 11 1.28428401 2.51502648 12 2.88608334 1.28428401 13 0.88480329 2.88608334 14 1.95000622 0.88480329 15 0.97428158 1.95000622 16 2.07685470 0.97428158 17 3.87594615 2.07685470 18 0.53369506 3.87594615 19 0.10228515 0.53369506 20 -0.04153083 0.10228515 21 1.14226691 -0.04153083 22 0.67170958 1.14226691 23 2.65435269 0.67170958 24 -0.56283414 2.65435269 25 -2.45808923 -0.56283414 26 0.72578436 -2.45808923 27 0.75417415 0.72578436 28 0.15676213 0.75417415 29 2.21316992 0.15676213 30 1.47539670 2.21316992 31 0.46128055 1.47539670 32 0.91489069 0.46128055 33 2.85474371 0.91489069 34 -0.55683223 2.85474371 35 -0.22987995 -0.55683223 36 -0.88332515 -0.22987995 37 -1.99140896 -0.88332515 38 -1.03407991 -1.99140896 39 -1.34986500 -1.03407991 40 1.69036601 -1.34986500 41 0.63686241 1.69036601 42 -2.03551139 0.63686241 43 -1.83391181 -2.03551139 44 1.69414525 -1.83391181 45 -1.05063983 1.69414525 46 0.40891459 -1.05063983 47 -0.14673655 0.40891459 48 0.13334729 -0.14673655 49 -2.93645061 0.13334729 50 0.25689301 -2.93645061 51 -1.14204910 0.25689301 52 -1.74065915 -1.14204910 53 -0.03649039 -1.74065915 54 -1.00538061 -0.03649039 55 0.21597537 -1.00538061 56 -0.69451721 0.21597537 57 -2.62283721 -0.69451721 58 -0.41205779 -2.62283721 59 1.39756047 -0.41205779 60 1.98334237 1.39756047 61 -2.14166683 1.98334237 62 -1.83918233 -2.14166683 63 -0.47410896 -1.83918233 64 -2.19125115 -0.47410896 65 2.08572177 -2.19125115 66 1.02738104 2.08572177 67 -3.67224387 1.02738104 68 -3.00380849 -3.67224387 69 1.09530419 -3.00380849 70 -3.07038355 1.09530419 71 1.45331962 -3.07038355 72 -2.34975053 1.45331962 73 1.30405646 -2.34975053 74 -1.15631127 1.30405646 75 -2.09707158 -1.15631127 76 -1.56703310 -2.09707158 77 0.31466253 -1.56703310 78 -1.06182752 0.31466253 79 -5.11045317 -1.06182752 80 -2.90662137 -5.11045317 81 -1.97381482 -2.90662137 82 0.12950854 -1.97381482 83 0.50340124 0.12950854 84 -5.23913602 0.50340124 85 -4.49210654 -5.23913602 86 -0.08369905 -4.49210654 87 -3.69829838 -0.08369905 88 1.44026143 -3.69829838 89 -6.54381105 1.44026143 90 -3.68108911 -6.54381105 91 -4.13972812 -3.68108911 92 -2.41071145 -4.13972812 93 -3.19639228 -2.41071145 94 -1.59141809 -3.19639228 95 0.61115390 -1.59141809 96 -4.40376372 0.61115390 97 -3.32578314 -4.40376372 98 -2.53059215 -3.32578314 > 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/fisher/rcomp/tmp/7w6vh1355338420.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > acf(mysum$resid, lag.max=length(mysum$resid)/2, main='Residual Autocorrelation Function') > grid() > dev.off() null device 1 > postscript(file="/var/fisher/rcomp/tmp/8jrei1355338420.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > pacf(mysum$resid, lag.max=length(mysum$resid)/2, main='Residual Partial Autocorrelation Function') > grid() > dev.off() null device 1 > postscript(file="/var/fisher/rcomp/tmp/9416m1355338420.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > opar <- par(mfrow = c(2,2), oma = c(0, 0, 1.1, 0)) > plot(mylm, las = 1, sub='Residual Diagnostics') > par(opar) > dev.off() null device 1 > if (n > n25) { + postscript(file="/var/fisher/rcomp/tmp/10rcr61355338420.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) + plot(kp3:nmkm3,gqarr[,2], main='Goldfeld-Quandt test',ylab='2-sided p-value',xlab='breakpoint') + grid() + dev.off() + } null device 1 > > #Note: the /var/fisher/rcomp/createtable file can be downloaded at http://www.wessa.net/cretab > load(file="/var/fisher/rcomp/createtable") > > a<-table.start() > a<-table.row.start(a) > a<-table.element(a, 'Multiple Linear Regression - Estimated Regression Equation', 1, TRUE) > a<-table.row.end(a) > myeq <- colnames(x)[1] > myeq <- paste(myeq, '[t] = ', sep='') > for (i in 1:k){ + if (mysum$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/fisher/rcomp/tmp/11n5gx1355338420.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/fisher/rcomp/tmp/12ut0d1355338420.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/fisher/rcomp/tmp/1321il1355338420.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/fisher/rcomp/tmp/14x9101355338420.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/fisher/rcomp/tmp/15rdjv1355338420.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/fisher/rcomp/tmp/16gjsk1355338420.tab") + } > > try(system("convert tmp/1gj471355338420.ps tmp/1gj471355338420.png",intern=TRUE)) character(0) > try(system("convert tmp/2rfry1355338420.ps tmp/2rfry1355338420.png",intern=TRUE)) character(0) > try(system("convert tmp/367fc1355338420.ps tmp/367fc1355338420.png",intern=TRUE)) character(0) > try(system("convert tmp/4bv4t1355338420.ps tmp/4bv4t1355338420.png",intern=TRUE)) character(0) > try(system("convert tmp/5ojra1355338420.ps tmp/5ojra1355338420.png",intern=TRUE)) character(0) > try(system("convert tmp/6cs7s1355338420.ps tmp/6cs7s1355338420.png",intern=TRUE)) character(0) > try(system("convert tmp/7w6vh1355338420.ps tmp/7w6vh1355338420.png",intern=TRUE)) character(0) > try(system("convert tmp/8jrei1355338420.ps tmp/8jrei1355338420.png",intern=TRUE)) character(0) > try(system("convert tmp/9416m1355338420.ps tmp/9416m1355338420.png",intern=TRUE)) character(0) > try(system("convert tmp/10rcr61355338420.ps tmp/10rcr61355338420.png",intern=TRUE)) character(0) > > > proc.time() user system elapsed 6.605 1.572 8.302