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Type 'q()' to quit R. > x <- array(list(46 + ,26 + ,99 + ,47 + ,48 + ,20 + ,77 + ,24 + ,37 + ,24 + ,90 + ,31 + ,75 + ,25 + ,96 + ,42 + ,31 + ,15 + ,41 + ,24 + ,18 + ,16 + ,64 + ,10 + ,79 + ,20 + ,76 + ,85 + ,16 + ,18 + ,67 + ,9 + ,38 + ,19 + ,72 + ,32 + ,24 + ,20 + ,75 + ,36 + ,65 + ,30 + ,113 + ,45 + ,74 + ,37 + ,139 + ,36 + ,43 + ,23 + ,76 + ,28 + ,42 + ,36 + ,123 + ,54 + ,55 + ,29 + ,110 + ,39 + ,121 + ,35 + ,133 + ,70 + ,42 + ,24 + ,92 + ,50 + ,102 + ,22 + ,83 + ,55 + ,36 + ,19 + ,72 + ,32 + ,50 + ,30 + ,115 + ,44 + ,48 + ,27 + ,99 + ,46 + ,56 + ,26 + ,92 + ,80 + ,19 + ,15 + ,56 + ,25 + ,32 + ,30 + ,120 + ,30 + ,77 + ,28 + ,107 + ,41 + ,90 + ,24 + ,90 + ,40 + ,81 + ,21 + ,78 + ,45 + ,55 + ,27 + ,103 + ,45 + ,34 + ,21 + ,81 + ,30 + ,38 + ,30 + ,114 + ,52 + ,53 + ,30 + ,115 + ,53 + ,48 + ,33 + ,118 + ,36 + ,63 + ,30 + ,113 + ,57 + ,25 + ,20 + ,75 + ,17 + ,56 + ,27 + ,103 + ,68 + ,37 + ,25 + ,93 + ,46 + ,83 + ,30 + ,114 + ,73 + ,50 + ,20 + ,76 + ,34 + ,26 + ,8 + ,27 + ,22 + ,108 + ,24 + ,92 + ,58 + ,55 + ,25 + ,96 + ,62 + ,41 + ,25 + ,92 + ,32 + ,49 + ,21 + ,76 + ,38 + ,31 + ,21 + ,79 + ,23 + ,49 + ,21 + ,57 + ,26 + ,96 + ,26 + ,99 + ,85 + ,42 + ,26 + ,82 + ,22 + ,55 + ,30 + ,113 + ,44 + ,70 + ,34 + ,129 + ,62 + ,39 + ,30 + ,110 + ,36 + ,53 + ,18 + ,78 + ,36 + ,24 + ,4 + ,12 + ,7 + ,209 + ,31 + ,114 + ,72 + ,17 + ,18 + ,67 + ,18 + ,58 + ,14 + ,52 + ,27 + ,27 + ,20 + ,76 + ,48 + ,58 + ,36 + ,138 + ,50 + ,114 + ,24 + ,92 + ,55 + ,75 + ,26 + ,93 + ,59 + ,51 + ,22 + ,83 + ,39 + ,86 + ,31 + ,118 + ,68 + ,77 + ,21 + ,77 + ,57 + ,62 + ,31 + ,122 + ,40 + ,60 + ,26 + ,99 + ,47 + ,39 + ,24 + ,92 + ,39 + ,35 + ,15 + ,58 + ,32 + ,86 + ,19 + ,73 + ,32 + ,102 + ,28 + ,103 + ,40 + ,49 + ,24 + ,92 + ,42 + ,35 + ,18 + ,69 + ,26 + ,33 + ,25 + ,95 + ,33 + ,28 + ,20 + ,76 + ,19 + ,44 + ,25 + ,95 + ,35 + ,37 + ,24 + ,92 + ,41 + ,33 + ,23 + ,88 + ,27 + ,45 + ,25 + ,95 + ,53 + ,57 + ,20 + ,76 + ,55 + ,58 + ,23 + ,87 + ,29 + ,36 + ,22 + ,84 + ,25 + ,42 + ,25 + ,95 + ,33 + ,30 + ,18 + ,69 + ,27 + ,67 + ,30 + ,115 + ,76 + ,53 + ,22 + ,83 + ,37 + ,59 + ,25 + ,47 + ,38 + ,25 + ,8 + ,28 + ,22 + ,39 + ,21 + ,79 + ,30 + ,36 + ,22 + ,83 + ,27 + ,114 + ,24 + ,92 + ,63 + ,54 + ,30 + ,98 + ,48 + ,70 + ,27 + ,103 + ,33 + ,51 + ,24 + ,89 + ,37 + ,49 + ,25 + ,95 + ,42 + ,42 + ,21 + ,78 + ,31 + ,51 + ,24 + ,92 + ,47 + ,51 + ,24 + ,92 + ,52 + ,27 + ,20 + ,76 + ,36 + ,29 + ,20 + ,67 + ,40 + ,54 + ,24 + ,92 + ,53 + ,92 + ,40 + ,151 + ,56 + ,72 + ,22 + ,83 + ,69 + ,63 + ,31 + ,118 + ,43 + ,41 + ,26 + ,98 + ,51 + ,111 + ,20 + ,76 + ,30 + ,14 + ,19 + ,71 + ,12 + ,45 + ,15 + ,57 + ,35 + ,91 + ,21 + ,79 + ,36 + ,29 + ,22 + ,83 + ,41 + ,64 + ,24 + ,92 + ,52 + ,32 + ,19 + ,75 + ,21 + ,65 + ,24 + ,95 + ,26 + ,42 + ,23 + ,88 + ,49 + ,55 + ,27 + ,99 + ,39 + ,10 + ,1 + ,0 + ,6 + ,53 + ,24 + ,91 + ,35 + ,25 + ,11 + ,32 + ,17 + ,33 + ,27 + ,101 + ,25 + ,66 + ,22 + ,84 + ,71 + ,16 + ,0 + ,0 + ,6 + ,35 + ,17 + ,60 + ,47 + ,19 + ,8 + ,25 + ,9 + ,76 + ,24 + ,90 + ,52 + ,35 + ,31 + ,115 + ,38 + ,46 + ,24 + ,92 + ,21 + ,29 + ,20 + ,71 + ,21 + ,34 + ,8 + ,27 + ,11 + ,25 + ,22 + ,83 + ,25 + ,48 + ,33 + ,126 + ,54 + ,38 + ,33 + ,125 + ,38 + ,50 + ,31 + ,119 + ,68 + ,65 + ,33 + ,127 + ,56 + ,72 + ,35 + ,133 + ,71 + ,23 + ,21 + ,79 + ,39 + ,29 + ,20 + ,76 + ,21 + ,194 + ,24 + ,92 + ,53 + ,114 + ,29 + ,109 + ,78 + ,15 + ,20 + ,76 + ,14 + ,86 + ,27 + ,100 + ,70 + ,50 + ,24 + ,87 + ,29 + ,33 + ,26 + ,97 + ,47 + ,50 + ,26 + ,95 + ,36 + ,72 + ,12 + ,48 + ,21 + ,81 + ,21 + ,80 + ,69 + ,54 + ,24 + ,91 + ,42 + ,63 + ,21 + ,79 + ,48 + ,69 + ,30 + ,114 + ,55 + ,39 + ,32 + ,120 + ,19 + ,49 + ,24 + ,89 + ,39 + ,67 + ,29 + ,111 + ,51 + ,0 + ,0 + ,0 + ,0 + ,10 + ,0 + ,0 + ,4 + ,1 + ,0 + ,0 + ,0 + ,2 + ,0 + ,0 + ,0 + ,0 + ,0 + ,0 + ,0 + ,0 + ,0 + ,0 + ,0 + ,58 + ,20 + ,74 + ,38 + ,72 + ,27 + ,107 + ,51 + ,0 + ,0 + ,0 + ,0 + ,4 + ,0 + ,0 + ,0 + ,5 + ,0 + ,0 + ,2 + ,20 + ,5 + ,15 + ,13 + ,5 + ,1 + ,4 + ,5 + ,27 + ,23 + ,82 + ,20 + ,2 + ,0 + ,0 + ,0 + ,33 + ,16 + ,54 + ,29) + ,dim=c(4 + ,164) + ,dimnames=list(c('Logins' + ,'Reviewed_compendiums' + ,'long_feedback' + ,'Time') + ,1:164)) > y <- array(NA,dim=c(4,164),dimnames=list(c('Logins','Reviewed_compendiums','long_feedback','Time'),1:164)) > for (i in 1:dim(x)[1]) + { + for (j in 1:dim(x)[2]) + { + y[i,j] <- as.numeric(x[i,j]) + } + } > par3 = 'No Linear Trend' > par2 = 'Do not include Seasonal Dummies' > par1 = '4' > 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 Time Logins Reviewed_compendiums long_feedback 1 47 46 26 99 2 24 48 20 77 3 31 37 24 90 4 42 75 25 96 5 24 31 15 41 6 10 18 16 64 7 85 79 20 76 8 9 16 18 67 9 32 38 19 72 10 36 24 20 75 11 45 65 30 113 12 36 74 37 139 13 28 43 23 76 14 54 42 36 123 15 39 55 29 110 16 70 121 35 133 17 50 42 24 92 18 55 102 22 83 19 32 36 19 72 20 44 50 30 115 21 46 48 27 99 22 80 56 26 92 23 25 19 15 56 24 30 32 30 120 25 41 77 28 107 26 40 90 24 90 27 45 81 21 78 28 45 55 27 103 29 30 34 21 81 30 52 38 30 114 31 53 53 30 115 32 36 48 33 118 33 57 63 30 113 34 17 25 20 75 35 68 56 27 103 36 46 37 25 93 37 73 83 30 114 38 34 50 20 76 39 22 26 8 27 40 58 108 24 92 41 62 55 25 96 42 32 41 25 92 43 38 49 21 76 44 23 31 21 79 45 26 49 21 57 46 85 96 26 99 47 22 42 26 82 48 44 55 30 113 49 62 70 34 129 50 36 39 30 110 51 36 53 18 78 52 7 24 4 12 53 72 209 31 114 54 18 17 18 67 55 27 58 14 52 56 48 27 20 76 57 50 58 36 138 58 55 114 24 92 59 59 75 26 93 60 39 51 22 83 61 68 86 31 118 62 57 77 21 77 63 40 62 31 122 64 47 60 26 99 65 39 39 24 92 66 32 35 15 58 67 32 86 19 73 68 40 102 28 103 69 42 49 24 92 70 26 35 18 69 71 33 33 25 95 72 19 28 20 76 73 35 44 25 95 74 41 37 24 92 75 27 33 23 88 76 53 45 25 95 77 55 57 20 76 78 29 58 23 87 79 25 36 22 84 80 33 42 25 95 81 27 30 18 69 82 76 67 30 115 83 37 53 22 83 84 38 59 25 47 85 22 25 8 28 86 30 39 21 79 87 27 36 22 83 88 63 114 24 92 89 48 54 30 98 90 33 70 27 103 91 37 51 24 89 92 42 49 25 95 93 31 42 21 78 94 47 51 24 92 95 52 51 24 92 96 36 27 20 76 97 40 29 20 67 98 53 54 24 92 99 56 92 40 151 100 69 72 22 83 101 43 63 31 118 102 51 41 26 98 103 30 111 20 76 104 12 14 19 71 105 35 45 15 57 106 36 91 21 79 107 41 29 22 83 108 52 64 24 92 109 21 32 19 75 110 26 65 24 95 111 49 42 23 88 112 39 55 27 99 113 6 10 1 0 114 35 53 24 91 115 17 25 11 32 116 25 33 27 101 117 71 66 22 84 118 6 16 0 0 119 47 35 17 60 120 9 19 8 25 121 52 76 24 90 122 38 35 31 115 123 21 46 24 92 124 21 29 20 71 125 11 34 8 27 126 25 25 22 83 127 54 48 33 126 128 38 38 33 125 129 68 50 31 119 130 56 65 33 127 131 71 72 35 133 132 39 23 21 79 133 21 29 20 76 134 53 194 24 92 135 78 114 29 109 136 14 15 20 76 137 70 86 27 100 138 29 50 24 87 139 47 33 26 97 140 36 50 26 95 141 21 72 12 48 142 69 81 21 80 143 42 54 24 91 144 48 63 21 79 145 55 69 30 114 146 19 39 32 120 147 39 49 24 89 148 51 67 29 111 149 0 0 0 0 150 4 10 0 0 151 0 1 0 0 152 0 2 0 0 153 0 0 0 0 154 0 0 0 0 155 38 58 20 74 156 51 72 27 107 157 0 0 0 0 158 0 4 0 0 159 2 5 0 0 160 13 20 5 15 161 5 5 1 4 162 20 27 23 82 163 0 2 0 0 164 29 33 16 54 > k <- length(x[1,]) > df <- as.data.frame(x) > (mylm <- lm(df)) Call: lm(formula = df) Coefficients: (Intercept) Logins Reviewed_compendiums 1.0114 0.2693 0.4047 long_feedback 0.1763 > (mysum <- summary(mylm)) Call: lm(formula = df) Residuals: Min 1Q Median 3Q Max -26.616 -7.182 -0.721 5.669 41.226 Coefficients: Estimate Std. Error t value Pr(>|t|) (Intercept) 1.01139 2.46051 0.411 0.682 Logins 0.26926 0.03539 7.608 2.25e-12 *** Reviewed_compendiums 0.40471 0.65934 0.614 0.540 long_feedback 0.17627 0.17202 1.025 0.307 --- Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 Residual standard error: 11.54 on 160 degrees of freedom Multiple R-squared: 0.6494, Adjusted R-squared: 0.6429 F-statistic: 98.8 on 3 and 160 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,] 0.9620769 7.584615e-02 3.792307e-02 [2,] 0.9254660 1.490681e-01 7.453404e-02 [3,] 0.8719941 2.560118e-01 1.280059e-01 [4,] 0.9111382 1.777237e-01 8.886184e-02 [5,] 0.8719448 2.561105e-01 1.280552e-01 [6,] 0.8714384 2.571232e-01 1.285616e-01 [7,] 0.8166513 3.666974e-01 1.833487e-01 [8,] 0.9392698 1.214604e-01 6.073018e-02 [9,] 0.9112233 1.775533e-01 8.877666e-02 [10,] 0.8981002 2.037996e-01 1.018998e-01 [11,] 0.9213080 1.573839e-01 7.869196e-02 [12,] 0.9060204 1.879592e-01 9.397958e-02 [13,] 0.8712916 2.574168e-01 1.287084e-01 [14,] 0.8350847 3.298306e-01 1.649153e-01 [15,] 0.8017647 3.964706e-01 1.982353e-01 [16,] 0.9796509 4.069817e-02 2.034908e-02 [17,] 0.9705458 5.890849e-02 2.945424e-02 [18,] 0.9615153 7.696941e-02 3.848470e-02 [19,] 0.9596752 8.064968e-02 4.032484e-02 [20,] 0.9665035 6.699294e-02 3.349647e-02 [21,] 0.9554913 8.901736e-02 4.450868e-02 [22,] 0.9404387 1.191225e-01 5.956126e-02 [23,] 0.9208994 1.582012e-01 7.910060e-02 [24,] 0.9249518 1.500963e-01 7.504816e-02 [25,] 0.9136843 1.726313e-01 8.631565e-02 [26,] 0.9093470 1.813061e-01 9.065304e-02 [27,] 0.8968047 2.063906e-01 1.031953e-01 [28,] 0.8927816 2.144368e-01 1.072184e-01 [29,] 0.9487882 1.024236e-01 5.121178e-02 [30,] 0.9424927 1.150146e-01 5.750732e-02 [31,] 0.9536878 9.262444e-02 4.631222e-02 [32,] 0.9402528 1.194943e-01 5.974716e-02 [33,] 0.9245971 1.508057e-01 7.540285e-02 [34,] 0.9068025 1.863949e-01 9.319746e-02 [35,] 0.9350982 1.298035e-01 6.490176e-02 [36,] 0.9226151 1.547699e-01 7.738493e-02 [37,] 0.9025170 1.949660e-01 9.748300e-02 [38,] 0.8908813 2.182374e-01 1.091187e-01 [39,] 0.8852043 2.295915e-01 1.147957e-01 [40,] 0.9560964 8.780712e-02 4.390356e-02 [41,] 0.9611218 7.775637e-02 3.887818e-02 [42,] 0.9505989 9.880226e-02 4.940113e-02 [43,] 0.9400023 1.199954e-01 5.999768e-02 [44,] 0.9278319 1.443362e-01 7.216809e-02 [45,] 0.9118406 1.763188e-01 8.815940e-02 [46,] 0.8964365 2.071269e-01 1.035635e-01 [47,] 0.9514015 9.719696e-02 4.859848e-02 [48,] 0.9428550 1.142899e-01 5.714497e-02 [49,] 0.9309138 1.381724e-01 6.908618e-02 [50,] 0.9485409 1.029182e-01 5.145910e-02 [51,] 0.9377857 1.244286e-01 6.221428e-02 [52,] 0.9235327 1.529347e-01 7.646734e-02 [53,] 0.9211055 1.577890e-01 7.889452e-02 [54,] 0.9024380 1.951239e-01 9.756195e-02 [55,] 0.8977177 2.045645e-01 1.022823e-01 [56,] 0.9014747 1.970507e-01 9.852533e-02 [57,] 0.9019451 1.961098e-01 9.805491e-02 [58,] 0.8808677 2.382647e-01 1.191323e-01 [59,] 0.8565520 2.868960e-01 1.434480e-01 [60,] 0.8332521 3.334958e-01 1.667479e-01 [61,] 0.8421763 3.156474e-01 1.578237e-01 [62,] 0.8752317 2.495367e-01 1.247683e-01 [63,] 0.8505916 2.988168e-01 1.494084e-01 [64,] 0.8265194 3.469612e-01 1.734806e-01 [65,] 0.7990601 4.018799e-01 2.009399e-01 [66,] 0.7967004 4.065992e-01 2.032996e-01 [67,] 0.7686700 4.626600e-01 2.313300e-01 [68,] 0.7367367 5.265265e-01 2.632633e-01 [69,] 0.7157825 5.684351e-01 2.842175e-01 [70,] 0.7241429 5.517141e-01 2.758571e-01 [71,] 0.7639228 4.721544e-01 2.360772e-01 [72,] 0.7680867 4.638265e-01 2.319133e-01 [73,] 0.7565229 4.869541e-01 2.434771e-01 [74,] 0.7303734 5.392532e-01 2.696266e-01 [75,] 0.6924984 6.150032e-01 3.075016e-01 [76,] 0.8143069 3.713863e-01 1.856931e-01 [77,] 0.7831401 4.337197e-01 2.168599e-01 [78,] 0.7533921 4.932157e-01 2.466079e-01 [79,] 0.7253109 5.493783e-01 2.746891e-01 [80,] 0.6907264 6.185473e-01 3.092736e-01 [81,] 0.6656564 6.686872e-01 3.343436e-01 [82,] 0.6346804 7.306392e-01 3.653196e-01 [83,] 0.5931864 8.136273e-01 4.068136e-01 [84,] 0.6289595 7.420810e-01 3.710405e-01 [85,] 0.5883263 8.233474e-01 4.116737e-01 [86,] 0.5434619 9.130761e-01 4.565381e-01 [87,] 0.5023511 9.952979e-01 4.976489e-01 [88,] 0.4700204 9.400407e-01 5.299796e-01 [89,] 0.4679316 9.358632e-01 5.320684e-01 [90,] 0.4349447 8.698893e-01 5.650553e-01 [91,] 0.4282715 8.565430e-01 5.717285e-01 [92,] 0.4280787 8.561575e-01 5.719213e-01 [93,] 0.4292020 8.584039e-01 5.707980e-01 [94,] 0.6015386 7.969227e-01 3.984614e-01 [95,] 0.5765066 8.469868e-01 4.234934e-01 [96,] 0.5739986 8.520028e-01 4.260014e-01 [97,] 0.6879768 6.240463e-01 3.120232e-01 [98,] 0.6985488 6.029024e-01 3.014512e-01 [99,] 0.6668334 6.663332e-01 3.331666e-01 [100,] 0.6686610 6.626780e-01 3.313390e-01 [101,] 0.6499304 7.001392e-01 3.500696e-01 [102,] 0.6264898 7.470204e-01 3.735102e-01 [103,] 0.6092866 7.814268e-01 3.907134e-01 [104,] 0.6898598 6.202804e-01 3.101402e-01 [105,] 0.6901191 6.197618e-01 3.098809e-01 [106,] 0.6531021 6.937957e-01 3.468979e-01 [107,] 0.6090980 7.818041e-01 3.909020e-01 [108,] 0.5742935 8.514130e-01 4.257065e-01 [109,] 0.5260343 9.479315e-01 4.739657e-01 [110,] 0.5453356 9.093288e-01 4.546644e-01 [111,] 0.7750647 4.498706e-01 2.249353e-01 [112,] 0.7359271 5.281458e-01 2.640729e-01 [113,] 0.8202225 3.595550e-01 1.797775e-01 [114,] 0.7869196 4.261608e-01 2.130804e-01 [115,] 0.7572755 4.854491e-01 2.427245e-01 [116,] 0.7213144 5.573712e-01 2.786856e-01 [117,] 0.7959999 4.080002e-01 2.040001e-01 [118,] 0.7713296 4.573409e-01 2.286704e-01 [119,] 0.7388874 5.222253e-01 2.611126e-01 [120,] 0.7104614 5.790771e-01 2.895386e-01 [121,] 0.6639957 6.720086e-01 3.360043e-01 [122,] 0.6602464 6.795073e-01 3.397536e-01 [123,] 0.7369984 5.260031e-01 2.630016e-01 [124,] 0.6874729 6.250542e-01 3.125271e-01 [125,] 0.7036754 5.926493e-01 2.963246e-01 [126,] 0.6920147 6.159705e-01 3.079853e-01 [127,] 0.6671919 6.656162e-01 3.328081e-01 [128,] 0.9905810 1.883805e-02 9.419023e-03 [129,] 0.9867876 2.642486e-02 1.321243e-02 [130,] 0.9811467 3.770651e-02 1.885325e-02 [131,] 0.9833128 3.337430e-02 1.668715e-02 [132,] 0.9830238 3.395238e-02 1.697619e-02 [133,] 0.9949686 1.006281e-02 5.031407e-03 [134,] 0.9918247 1.635066e-02 8.175331e-03 [135,] 1.0000000 3.351832e-08 1.675916e-08 [136,] 1.0000000 3.864224e-08 1.932112e-08 [137,] 0.9999999 1.107880e-07 5.539402e-08 [138,] 0.9999998 4.301493e-07 2.150747e-07 [139,] 0.9999998 4.981466e-07 2.490733e-07 [140,] 1.0000000 4.793695e-09 2.396848e-09 [141,] 1.0000000 1.701112e-08 8.505562e-09 [142,] 1.0000000 4.187471e-08 2.093735e-08 [143,] 0.9999999 2.502598e-07 1.251299e-07 [144,] 0.9999994 1.108379e-06 5.541895e-07 [145,] 0.9999967 6.674664e-06 3.337332e-06 [146,] 0.9999818 3.644440e-05 1.822220e-05 [147,] 0.9999040 1.920477e-04 9.602384e-05 [148,] 0.9995271 9.458114e-04 4.729057e-04 [149,] 0.9992373 1.525436e-03 7.627178e-04 [150,] 0.9959046 8.190714e-03 4.095357e-03 [151,] 0.9883097 2.338059e-02 1.169030e-02 > postscript(file="/var/www/rcomp/tmp/1u0cz1321907093.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/20k761321907093.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > plot(mysum$resid, type='b', pch=19, main='Residuals', ylab='value of Residuals', xlab='time or index') > grid() > dev.off() null device 1 > postscript(file="/var/www/rcomp/tmp/3dx581321907093.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > hist(mysum$resid, main='Residual Histogram', xlab='values of Residuals') > grid() > dev.off() null device 1 > postscript(file="/var/www/rcomp/tmp/4amyx1321907093.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > densityplot(~mysum$resid,col='black',main='Residual Density Plot', xlab='values of Residuals') > dev.off() null device 1 > postscript(file="/var/www/rcomp/tmp/54rza1321907093.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > qqnorm(mysum$resid, main='Residual Normal Q-Q Plot') > qqline(mysum$resid) > grid() > dev.off() null device 1 > (myerror <- as.ts(mysum$resid)) Time Series: Start = 1 End = 164 Frequency = 1 1 2 3 4 5 6 5.62935737 -11.60288288 -5.55146616 -6.24552159 1.34382577 -13.61482426 7 8 9 10 11 12 41.22646880 -15.41455795 0.37574661 7.21179313 -5.57316284 -24.41253552 13 14 15 16 17 18 -7.29447614 5.42870745 -7.94707746 -1.20048298 11.74971225 2.99025950 19 20 21 22 23 24 0.91425760 -2.88687451 3.68613212 37.17070678 2.93081093 -12.92163585 25 26 27 28 29 30 -10.93716795 -10.82200744 -0.06930056 0.09625543 -2.94310841 8.52046349 31 32 33 34 35 36 5.30535900 -12.09132247 6.96534815 -12.05746237 22.82699994 8.51500342 37 38 39 40 41 42 17.40396618 -1.96512182 5.99091184 1.97884953 19.13958833 -6.38574652 43 44 45 46 47 48 1.89941942 -8.78279782 -6.75141158 30.16658258 -15.29699575 -3.88060788 49 50 51 52 53 54 5.64134978 -7.04370379 -0.31600388 -4.20763933 -17.92694056 -6.68381345 55 56 57 58 59 60 -4.46035093 18.22775459 -5.52346127 -2.63668345 10.87858031 0.72228979 61 62 63 64 65 66 10.48639722 13.18399348 -11.75655909 1.85978043 1.55747874 5.27017889 67 68 69 70 71 72 -12.72478924 -17.96346713 1.86492378 -3.88295648 -3.76051871 -11.04150091 73 74 75 76 77 78 -4.72232916 4.09598973 -7.71718581 13.00841534 17.15008971 -12.27230115 79 80 81 82 83 84 -9.41514982 -6.18381817 -1.53667900 24.53578206 -1.81622120 2.69989694 85 86 87 88 89 90 6.08389528 -3.93684178 -7.23887777 5.36331655 3.03272840 -15.94257700 91 92 93 94 95 96 -3.14477105 0.93139336 -3.56833622 6.32641279 11.32641279 6.22775459 97 98 99 100 101 102 11.27569207 11.51864630 -12.58854187 25.06792438 -8.32072638 11.15190690 103 104 105 106 107 108 -22.38970706 -12.98584944 5.75389598 -11.93812757 8.64591070 7.82609134 109 110 111 112 113 114 -9.53753657 -18.97198031 11.85951473 -5.19865635 1.89134504 -6.03582615 115 116 117 118 119 120 -0.83533572 -13.62757955 28.50718530 0.68052633 19.10820626 -4.77175559 121 122 123 124 125 126 4.94756950 -5.25275634 -18.32730973 -8.42939614 -7.16313213 -6.27706732 127 128 129 130 131 132 4.49850111 -8.63267188 20.00332301 1.74488563 12.99303631 9.37124615 133 134 135 136 137 138 -9.31075640 -26.17712312 15.34312034 -12.54117946 17.27815122 -10.52297145 139 140 141 142 143 144 9.48222292 -5.74257640 -12.71541114 23.57815534 0.69491835 7.60102632 145 146 147 148 149 150 3.17354312 -26.61585285 -0.60626006 0.64558453 -1.01138574 0.29605930 151 152 153 154 155 156 -1.28064123 -1.54989673 -1.01138574 -1.01138574 0.23337832 0.81382379 157 158 159 160 161 162 -1.01138574 -2.08840772 -0.35766322 1.93585223 1.53253431 -12.04402052 163 164 -1.54989673 3.10906383 > postscript(file="/var/www/rcomp/tmp/6kajw1321907093.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > dum <- cbind(lag(myerror,k=1),myerror) > dum Time Series: Start = 0 End = 164 Frequency = 1 lag(myerror, k = 1) myerror 0 5.62935737 NA 1 -11.60288288 5.62935737 2 -5.55146616 -11.60288288 3 -6.24552159 -5.55146616 4 1.34382577 -6.24552159 5 -13.61482426 1.34382577 6 41.22646880 -13.61482426 7 -15.41455795 41.22646880 8 0.37574661 -15.41455795 9 7.21179313 0.37574661 10 -5.57316284 7.21179313 11 -24.41253552 -5.57316284 12 -7.29447614 -24.41253552 13 5.42870745 -7.29447614 14 -7.94707746 5.42870745 15 -1.20048298 -7.94707746 16 11.74971225 -1.20048298 17 2.99025950 11.74971225 18 0.91425760 2.99025950 19 -2.88687451 0.91425760 20 3.68613212 -2.88687451 21 37.17070678 3.68613212 22 2.93081093 37.17070678 23 -12.92163585 2.93081093 24 -10.93716795 -12.92163585 25 -10.82200744 -10.93716795 26 -0.06930056 -10.82200744 27 0.09625543 -0.06930056 28 -2.94310841 0.09625543 29 8.52046349 -2.94310841 30 5.30535900 8.52046349 31 -12.09132247 5.30535900 32 6.96534815 -12.09132247 33 -12.05746237 6.96534815 34 22.82699994 -12.05746237 35 8.51500342 22.82699994 36 17.40396618 8.51500342 37 -1.96512182 17.40396618 38 5.99091184 -1.96512182 39 1.97884953 5.99091184 40 19.13958833 1.97884953 41 -6.38574652 19.13958833 42 1.89941942 -6.38574652 43 -8.78279782 1.89941942 44 -6.75141158 -8.78279782 45 30.16658258 -6.75141158 46 -15.29699575 30.16658258 47 -3.88060788 -15.29699575 48 5.64134978 -3.88060788 49 -7.04370379 5.64134978 50 -0.31600388 -7.04370379 51 -4.20763933 -0.31600388 52 -17.92694056 -4.20763933 53 -6.68381345 -17.92694056 54 -4.46035093 -6.68381345 55 18.22775459 -4.46035093 56 -5.52346127 18.22775459 57 -2.63668345 -5.52346127 58 10.87858031 -2.63668345 59 0.72228979 10.87858031 60 10.48639722 0.72228979 61 13.18399348 10.48639722 62 -11.75655909 13.18399348 63 1.85978043 -11.75655909 64 1.55747874 1.85978043 65 5.27017889 1.55747874 66 -12.72478924 5.27017889 67 -17.96346713 -12.72478924 68 1.86492378 -17.96346713 69 -3.88295648 1.86492378 70 -3.76051871 -3.88295648 71 -11.04150091 -3.76051871 72 -4.72232916 -11.04150091 73 4.09598973 -4.72232916 74 -7.71718581 4.09598973 75 13.00841534 -7.71718581 76 17.15008971 13.00841534 77 -12.27230115 17.15008971 78 -9.41514982 -12.27230115 79 -6.18381817 -9.41514982 80 -1.53667900 -6.18381817 81 24.53578206 -1.53667900 82 -1.81622120 24.53578206 83 2.69989694 -1.81622120 84 6.08389528 2.69989694 85 -3.93684178 6.08389528 86 -7.23887777 -3.93684178 87 5.36331655 -7.23887777 88 3.03272840 5.36331655 89 -15.94257700 3.03272840 90 -3.14477105 -15.94257700 91 0.93139336 -3.14477105 92 -3.56833622 0.93139336 93 6.32641279 -3.56833622 94 11.32641279 6.32641279 95 6.22775459 11.32641279 96 11.27569207 6.22775459 97 11.51864630 11.27569207 98 -12.58854187 11.51864630 99 25.06792438 -12.58854187 100 -8.32072638 25.06792438 101 11.15190690 -8.32072638 102 -22.38970706 11.15190690 103 -12.98584944 -22.38970706 104 5.75389598 -12.98584944 105 -11.93812757 5.75389598 106 8.64591070 -11.93812757 107 7.82609134 8.64591070 108 -9.53753657 7.82609134 109 -18.97198031 -9.53753657 110 11.85951473 -18.97198031 111 -5.19865635 11.85951473 112 1.89134504 -5.19865635 113 -6.03582615 1.89134504 114 -0.83533572 -6.03582615 115 -13.62757955 -0.83533572 116 28.50718530 -13.62757955 117 0.68052633 28.50718530 118 19.10820626 0.68052633 119 -4.77175559 19.10820626 120 4.94756950 -4.77175559 121 -5.25275634 4.94756950 122 -18.32730973 -5.25275634 123 -8.42939614 -18.32730973 124 -7.16313213 -8.42939614 125 -6.27706732 -7.16313213 126 4.49850111 -6.27706732 127 -8.63267188 4.49850111 128 20.00332301 -8.63267188 129 1.74488563 20.00332301 130 12.99303631 1.74488563 131 9.37124615 12.99303631 132 -9.31075640 9.37124615 133 -26.17712312 -9.31075640 134 15.34312034 -26.17712312 135 -12.54117946 15.34312034 136 17.27815122 -12.54117946 137 -10.52297145 17.27815122 138 9.48222292 -10.52297145 139 -5.74257640 9.48222292 140 -12.71541114 -5.74257640 141 23.57815534 -12.71541114 142 0.69491835 23.57815534 143 7.60102632 0.69491835 144 3.17354312 7.60102632 145 -26.61585285 3.17354312 146 -0.60626006 -26.61585285 147 0.64558453 -0.60626006 148 -1.01138574 0.64558453 149 0.29605930 -1.01138574 150 -1.28064123 0.29605930 151 -1.54989673 -1.28064123 152 -1.01138574 -1.54989673 153 -1.01138574 -1.01138574 154 0.23337832 -1.01138574 155 0.81382379 0.23337832 156 -1.01138574 0.81382379 157 -2.08840772 -1.01138574 158 -0.35766322 -2.08840772 159 1.93585223 -0.35766322 160 1.53253431 1.93585223 161 -12.04402052 1.53253431 162 -1.54989673 -12.04402052 163 3.10906383 -1.54989673 164 NA 3.10906383 > dum1 <- dum[2:length(myerror),] > dum1 lag(myerror, k = 1) myerror [1,] -11.60288288 5.62935737 [2,] -5.55146616 -11.60288288 [3,] -6.24552159 -5.55146616 [4,] 1.34382577 -6.24552159 [5,] -13.61482426 1.34382577 [6,] 41.22646880 -13.61482426 [7,] -15.41455795 41.22646880 [8,] 0.37574661 -15.41455795 [9,] 7.21179313 0.37574661 [10,] -5.57316284 7.21179313 [11,] -24.41253552 -5.57316284 [12,] -7.29447614 -24.41253552 [13,] 5.42870745 -7.29447614 [14,] -7.94707746 5.42870745 [15,] -1.20048298 -7.94707746 [16,] 11.74971225 -1.20048298 [17,] 2.99025950 11.74971225 [18,] 0.91425760 2.99025950 [19,] -2.88687451 0.91425760 [20,] 3.68613212 -2.88687451 [21,] 37.17070678 3.68613212 [22,] 2.93081093 37.17070678 [23,] -12.92163585 2.93081093 [24,] -10.93716795 -12.92163585 [25,] -10.82200744 -10.93716795 [26,] -0.06930056 -10.82200744 [27,] 0.09625543 -0.06930056 [28,] -2.94310841 0.09625543 [29,] 8.52046349 -2.94310841 [30,] 5.30535900 8.52046349 [31,] -12.09132247 5.30535900 [32,] 6.96534815 -12.09132247 [33,] -12.05746237 6.96534815 [34,] 22.82699994 -12.05746237 [35,] 8.51500342 22.82699994 [36,] 17.40396618 8.51500342 [37,] -1.96512182 17.40396618 [38,] 5.99091184 -1.96512182 [39,] 1.97884953 5.99091184 [40,] 19.13958833 1.97884953 [41,] -6.38574652 19.13958833 [42,] 1.89941942 -6.38574652 [43,] -8.78279782 1.89941942 [44,] -6.75141158 -8.78279782 [45,] 30.16658258 -6.75141158 [46,] -15.29699575 30.16658258 [47,] -3.88060788 -15.29699575 [48,] 5.64134978 -3.88060788 [49,] -7.04370379 5.64134978 [50,] -0.31600388 -7.04370379 [51,] -4.20763933 -0.31600388 [52,] -17.92694056 -4.20763933 [53,] -6.68381345 -17.92694056 [54,] -4.46035093 -6.68381345 [55,] 18.22775459 -4.46035093 [56,] -5.52346127 18.22775459 [57,] -2.63668345 -5.52346127 [58,] 10.87858031 -2.63668345 [59,] 0.72228979 10.87858031 [60,] 10.48639722 0.72228979 [61,] 13.18399348 10.48639722 [62,] -11.75655909 13.18399348 [63,] 1.85978043 -11.75655909 [64,] 1.55747874 1.85978043 [65,] 5.27017889 1.55747874 [66,] -12.72478924 5.27017889 [67,] -17.96346713 -12.72478924 [68,] 1.86492378 -17.96346713 [69,] -3.88295648 1.86492378 [70,] -3.76051871 -3.88295648 [71,] -11.04150091 -3.76051871 [72,] -4.72232916 -11.04150091 [73,] 4.09598973 -4.72232916 [74,] -7.71718581 4.09598973 [75,] 13.00841534 -7.71718581 [76,] 17.15008971 13.00841534 [77,] -12.27230115 17.15008971 [78,] -9.41514982 -12.27230115 [79,] -6.18381817 -9.41514982 [80,] -1.53667900 -6.18381817 [81,] 24.53578206 -1.53667900 [82,] -1.81622120 24.53578206 [83,] 2.69989694 -1.81622120 [84,] 6.08389528 2.69989694 [85,] -3.93684178 6.08389528 [86,] -7.23887777 -3.93684178 [87,] 5.36331655 -7.23887777 [88,] 3.03272840 5.36331655 [89,] -15.94257700 3.03272840 [90,] -3.14477105 -15.94257700 [91,] 0.93139336 -3.14477105 [92,] -3.56833622 0.93139336 [93,] 6.32641279 -3.56833622 [94,] 11.32641279 6.32641279 [95,] 6.22775459 11.32641279 [96,] 11.27569207 6.22775459 [97,] 11.51864630 11.27569207 [98,] -12.58854187 11.51864630 [99,] 25.06792438 -12.58854187 [100,] -8.32072638 25.06792438 [101,] 11.15190690 -8.32072638 [102,] -22.38970706 11.15190690 [103,] -12.98584944 -22.38970706 [104,] 5.75389598 -12.98584944 [105,] -11.93812757 5.75389598 [106,] 8.64591070 -11.93812757 [107,] 7.82609134 8.64591070 [108,] -9.53753657 7.82609134 [109,] -18.97198031 -9.53753657 [110,] 11.85951473 -18.97198031 [111,] -5.19865635 11.85951473 [112,] 1.89134504 -5.19865635 [113,] -6.03582615 1.89134504 [114,] -0.83533572 -6.03582615 [115,] -13.62757955 -0.83533572 [116,] 28.50718530 -13.62757955 [117,] 0.68052633 28.50718530 [118,] 19.10820626 0.68052633 [119,] -4.77175559 19.10820626 [120,] 4.94756950 -4.77175559 [121,] -5.25275634 4.94756950 [122,] -18.32730973 -5.25275634 [123,] -8.42939614 -18.32730973 [124,] -7.16313213 -8.42939614 [125,] -6.27706732 -7.16313213 [126,] 4.49850111 -6.27706732 [127,] -8.63267188 4.49850111 [128,] 20.00332301 -8.63267188 [129,] 1.74488563 20.00332301 [130,] 12.99303631 1.74488563 [131,] 9.37124615 12.99303631 [132,] -9.31075640 9.37124615 [133,] -26.17712312 -9.31075640 [134,] 15.34312034 -26.17712312 [135,] -12.54117946 15.34312034 [136,] 17.27815122 -12.54117946 [137,] -10.52297145 17.27815122 [138,] 9.48222292 -10.52297145 [139,] -5.74257640 9.48222292 [140,] -12.71541114 -5.74257640 [141,] 23.57815534 -12.71541114 [142,] 0.69491835 23.57815534 [143,] 7.60102632 0.69491835 [144,] 3.17354312 7.60102632 [145,] -26.61585285 3.17354312 [146,] -0.60626006 -26.61585285 [147,] 0.64558453 -0.60626006 [148,] -1.01138574 0.64558453 [149,] 0.29605930 -1.01138574 [150,] -1.28064123 0.29605930 [151,] -1.54989673 -1.28064123 [152,] -1.01138574 -1.54989673 [153,] -1.01138574 -1.01138574 [154,] 0.23337832 -1.01138574 [155,] 0.81382379 0.23337832 [156,] -1.01138574 0.81382379 [157,] -2.08840772 -1.01138574 [158,] -0.35766322 -2.08840772 [159,] 1.93585223 -0.35766322 [160,] 1.53253431 1.93585223 [161,] -12.04402052 1.53253431 [162,] -1.54989673 -12.04402052 [163,] 3.10906383 -1.54989673 > z <- as.data.frame(dum1) > z lag(myerror, k = 1) myerror 1 -11.60288288 5.62935737 2 -5.55146616 -11.60288288 3 -6.24552159 -5.55146616 4 1.34382577 -6.24552159 5 -13.61482426 1.34382577 6 41.22646880 -13.61482426 7 -15.41455795 41.22646880 8 0.37574661 -15.41455795 9 7.21179313 0.37574661 10 -5.57316284 7.21179313 11 -24.41253552 -5.57316284 12 -7.29447614 -24.41253552 13 5.42870745 -7.29447614 14 -7.94707746 5.42870745 15 -1.20048298 -7.94707746 16 11.74971225 -1.20048298 17 2.99025950 11.74971225 18 0.91425760 2.99025950 19 -2.88687451 0.91425760 20 3.68613212 -2.88687451 21 37.17070678 3.68613212 22 2.93081093 37.17070678 23 -12.92163585 2.93081093 24 -10.93716795 -12.92163585 25 -10.82200744 -10.93716795 26 -0.06930056 -10.82200744 27 0.09625543 -0.06930056 28 -2.94310841 0.09625543 29 8.52046349 -2.94310841 30 5.30535900 8.52046349 31 -12.09132247 5.30535900 32 6.96534815 -12.09132247 33 -12.05746237 6.96534815 34 22.82699994 -12.05746237 35 8.51500342 22.82699994 36 17.40396618 8.51500342 37 -1.96512182 17.40396618 38 5.99091184 -1.96512182 39 1.97884953 5.99091184 40 19.13958833 1.97884953 41 -6.38574652 19.13958833 42 1.89941942 -6.38574652 43 -8.78279782 1.89941942 44 -6.75141158 -8.78279782 45 30.16658258 -6.75141158 46 -15.29699575 30.16658258 47 -3.88060788 -15.29699575 48 5.64134978 -3.88060788 49 -7.04370379 5.64134978 50 -0.31600388 -7.04370379 51 -4.20763933 -0.31600388 52 -17.92694056 -4.20763933 53 -6.68381345 -17.92694056 54 -4.46035093 -6.68381345 55 18.22775459 -4.46035093 56 -5.52346127 18.22775459 57 -2.63668345 -5.52346127 58 10.87858031 -2.63668345 59 0.72228979 10.87858031 60 10.48639722 0.72228979 61 13.18399348 10.48639722 62 -11.75655909 13.18399348 63 1.85978043 -11.75655909 64 1.55747874 1.85978043 65 5.27017889 1.55747874 66 -12.72478924 5.27017889 67 -17.96346713 -12.72478924 68 1.86492378 -17.96346713 69 -3.88295648 1.86492378 70 -3.76051871 -3.88295648 71 -11.04150091 -3.76051871 72 -4.72232916 -11.04150091 73 4.09598973 -4.72232916 74 -7.71718581 4.09598973 75 13.00841534 -7.71718581 76 17.15008971 13.00841534 77 -12.27230115 17.15008971 78 -9.41514982 -12.27230115 79 -6.18381817 -9.41514982 80 -1.53667900 -6.18381817 81 24.53578206 -1.53667900 82 -1.81622120 24.53578206 83 2.69989694 -1.81622120 84 6.08389528 2.69989694 85 -3.93684178 6.08389528 86 -7.23887777 -3.93684178 87 5.36331655 -7.23887777 88 3.03272840 5.36331655 89 -15.94257700 3.03272840 90 -3.14477105 -15.94257700 91 0.93139336 -3.14477105 92 -3.56833622 0.93139336 93 6.32641279 -3.56833622 94 11.32641279 6.32641279 95 6.22775459 11.32641279 96 11.27569207 6.22775459 97 11.51864630 11.27569207 98 -12.58854187 11.51864630 99 25.06792438 -12.58854187 100 -8.32072638 25.06792438 101 11.15190690 -8.32072638 102 -22.38970706 11.15190690 103 -12.98584944 -22.38970706 104 5.75389598 -12.98584944 105 -11.93812757 5.75389598 106 8.64591070 -11.93812757 107 7.82609134 8.64591070 108 -9.53753657 7.82609134 109 -18.97198031 -9.53753657 110 11.85951473 -18.97198031 111 -5.19865635 11.85951473 112 1.89134504 -5.19865635 113 -6.03582615 1.89134504 114 -0.83533572 -6.03582615 115 -13.62757955 -0.83533572 116 28.50718530 -13.62757955 117 0.68052633 28.50718530 118 19.10820626 0.68052633 119 -4.77175559 19.10820626 120 4.94756950 -4.77175559 121 -5.25275634 4.94756950 122 -18.32730973 -5.25275634 123 -8.42939614 -18.32730973 124 -7.16313213 -8.42939614 125 -6.27706732 -7.16313213 126 4.49850111 -6.27706732 127 -8.63267188 4.49850111 128 20.00332301 -8.63267188 129 1.74488563 20.00332301 130 12.99303631 1.74488563 131 9.37124615 12.99303631 132 -9.31075640 9.37124615 133 -26.17712312 -9.31075640 134 15.34312034 -26.17712312 135 -12.54117946 15.34312034 136 17.27815122 -12.54117946 137 -10.52297145 17.27815122 138 9.48222292 -10.52297145 139 -5.74257640 9.48222292 140 -12.71541114 -5.74257640 141 23.57815534 -12.71541114 142 0.69491835 23.57815534 143 7.60102632 0.69491835 144 3.17354312 7.60102632 145 -26.61585285 3.17354312 146 -0.60626006 -26.61585285 147 0.64558453 -0.60626006 148 -1.01138574 0.64558453 149 0.29605930 -1.01138574 150 -1.28064123 0.29605930 151 -1.54989673 -1.28064123 152 -1.01138574 -1.54989673 153 -1.01138574 -1.01138574 154 0.23337832 -1.01138574 155 0.81382379 0.23337832 156 -1.01138574 0.81382379 157 -2.08840772 -1.01138574 158 -0.35766322 -2.08840772 159 1.93585223 -0.35766322 160 1.53253431 1.93585223 161 -12.04402052 1.53253431 162 -1.54989673 -12.04402052 163 3.10906383 -1.54989673 > 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/7jexh1321907093.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/8vxpq1321907093.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/9y1pz1321907093.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/10lx5y1321907093.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$coefficients)[i] != 't') myeq <- paste(myeq, '[t]', sep='') + } + } > myeq <- paste(myeq, ' + e[t]') > a<-table.row.start(a) > a<-table.element(a, myeq) > a<-table.row.end(a) > a<-table.end(a) > table.save(a,file="/var/www/rcomp/tmp/11ub741321907093.tab") > a<-table.start() > a<-table.row.start(a) > a<-table.element(a,hyperlink('http://www.xycoon.com/ols1.htm','Multiple Linear Regression - Ordinary Least Squares',''), 6, TRUE) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a,'Variable',header=TRUE) > a<-table.element(a,'Parameter',header=TRUE) > a<-table.element(a,'S.D.',header=TRUE) > a<-table.element(a,'T-STAT
H0: parameter = 0',header=TRUE) > a<-table.element(a,'2-tail p-value',header=TRUE) > a<-table.element(a,'1-tail p-value',header=TRUE) > a<-table.row.end(a) > for (i in 1:k){ + a<-table.row.start(a) + a<-table.element(a,rownames(mysum$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$coefficients[i,4]/2,6)) + a<-table.row.end(a) + } > a<-table.end(a) > table.save(a,file="/var/www/rcomp/tmp/12y5121321907093.tab") > a<-table.start() > a<-table.row.start(a) > a<-table.element(a, 'Multiple Linear Regression - Regression Statistics', 2, TRUE) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'Multiple R',1,TRUE) > a<-table.element(a, sqrt(mysum$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$sigma) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'Sum Squared Residuals',1,TRUE) > a<-table.element(a, sum(myerror*myerror)) > a<-table.row.end(a) > a<-table.end(a) > table.save(a,file="/var/www/rcomp/tmp/13w1dh1321907093.tab") > a<-table.start() > a<-table.row.start(a) > a<-table.element(a, 'Multiple Linear Regression - Actuals, Interpolation, and Residuals', 4, TRUE) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'Time or Index', 1, TRUE) > a<-table.element(a, 'Actuals', 1, TRUE) > a<-table.element(a, 'Interpolation
Forecast', 1, TRUE) > a<-table.element(a, 'Residuals
Prediction Error', 1, TRUE) > a<-table.row.end(a) > for (i in 1:n) { + a<-table.row.start(a) + a<-table.element(a,i, 1, TRUE) + a<-table.element(a,x[i]) + a<-table.element(a,x[i]-mysum$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/14bwdu1321907093.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/15bbb61321907093.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/1681w71321907093.tab") + } > > try(system("convert tmp/1u0cz1321907093.ps tmp/1u0cz1321907093.png",intern=TRUE)) character(0) > try(system("convert tmp/20k761321907093.ps tmp/20k761321907093.png",intern=TRUE)) character(0) > try(system("convert tmp/3dx581321907093.ps tmp/3dx581321907093.png",intern=TRUE)) character(0) > try(system("convert tmp/4amyx1321907093.ps tmp/4amyx1321907093.png",intern=TRUE)) character(0) > try(system("convert tmp/54rza1321907093.ps tmp/54rza1321907093.png",intern=TRUE)) character(0) > try(system("convert tmp/6kajw1321907093.ps tmp/6kajw1321907093.png",intern=TRUE)) character(0) > try(system("convert tmp/7jexh1321907093.ps tmp/7jexh1321907093.png",intern=TRUE)) character(0) > try(system("convert tmp/8vxpq1321907093.ps tmp/8vxpq1321907093.png",intern=TRUE)) character(0) > try(system("convert tmp/9y1pz1321907093.ps tmp/9y1pz1321907093.png",intern=TRUE)) character(0) > try(system("convert tmp/10lx5y1321907093.ps tmp/10lx5y1321907093.png",intern=TRUE)) character(0) > > > proc.time() user system elapsed 5.872 0.600 6.602