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Type 'q()' to quit R. > x <- array(list(2350.44 + ,10892.76 + ,10540.05 + ,10570 + ,-4.9 + ,-3 + ,1.6 + ,3.38 + ,2440.25 + ,10631.92 + ,10601.61 + ,10297 + ,-4 + ,-1 + ,1.3 + ,3.35 + ,2408.64 + ,11441.08 + ,10323.73 + ,10635 + ,-3.1 + ,-3 + ,1.1 + ,3.22 + ,2472.81 + ,11950.95 + ,10418.4 + ,10872 + ,-1.3 + ,-4 + ,1.9 + ,3.06 + ,2407.6 + ,11037.54 + ,10092.96 + ,10296 + ,0 + ,-6 + ,2.6 + ,3.17 + ,2454.62 + ,11527.72 + ,10364.91 + ,10383 + ,-0.4 + ,0 + ,2.3 + ,3.19 + ,2448.05 + ,11383.89 + ,10152.09 + ,10431 + ,3 + ,-4 + ,2.4 + ,3.35 + ,2497.84 + ,10989.34 + ,10032.8 + ,10574 + ,0.4 + ,-2 + ,2.2 + ,3.24 + ,2645.64 + ,11079.42 + ,10204.59 + ,10653 + ,1.2 + ,-2 + ,2 + ,3.23 + ,2756.76 + ,11028.93 + ,10001.6 + ,10805 + ,0.6 + ,-6 + ,2.9 + ,3.31 + ,2849.27 + ,10973 + ,10411.75 + ,10872 + ,-1.3 + ,-7 + ,2.6 + ,3.25 + ,2921.44 + ,11068.05 + ,10673.38 + ,10625 + ,-3.2 + ,-6 + ,2.3 + ,3.2 + ,2981.85 + ,11394.84 + ,10539.51 + ,10407 + ,-1.8 + ,-6 + ,2.3 + ,3.1 + ,3080.58 + ,11545.71 + ,10723.78 + 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,17232.97 + ,11234.68 + ,16005 + ,5.3 + ,-4 + ,2 + ,3.3 + ,3801.06 + ,16397.83 + ,11333.88 + ,17064 + ,5.5 + ,-6 + ,2.2 + ,3.48 + ,3570.12 + ,14990.31 + ,10997.97 + ,15168 + ,6.3 + ,-2 + ,1.9 + ,3.46 + ,3701.61 + ,15147.55 + ,11036.89 + ,16050 + ,7.7 + ,-2 + ,1.6 + ,3.57 + ,3862.27 + ,15786.78 + ,11257.35 + ,15839 + ,6.5 + ,-2 + ,1.6 + ,3.6 + ,3970.1 + ,15934.09 + ,11533.59 + ,15137 + ,5.5 + ,-2 + ,1.2 + ,3.51 + ,4138.52 + ,16519.44 + ,11963.12 + ,14954 + ,6.9 + ,2 + ,1.2 + ,3.52 + ,4199.75 + ,16101.07 + ,12185.15 + ,15648 + ,5.7 + ,1 + ,1.5 + ,3.49 + ,4290.89 + ,16775.08 + ,12377.62 + ,15305 + ,6.9 + ,-8 + ,1.6 + ,3.5 + ,4443.91 + ,17286.32 + ,12512.89 + ,15579 + ,6.1 + ,-1 + ,1.7 + ,3.64 + ,4502.64 + ,17741.23 + ,12631.48 + ,16348 + ,4.8 + ,1 + ,1.8 + ,3.94 + ,4356.98 + ,17128.37 + ,12268.53 + ,15928 + ,3.7 + ,-1 + ,1.8 + ,3.94 + ,4591.27 + ,17460.53 + ,12754.8 + ,16171 + ,5.8 + ,2 + ,1.8 + ,3.91 + ,4696.96 + ,17611.14 + ,13407.75 + ,15937 + ,6.8 + ,2 + ,1.3 + ,3.88 + ,4621.4 + ,18001.37 + ,13480.21 + ,15713 + ,8.5 + ,1 + ,1.3 + ,4.21 + ,4562.84 + ,17974.77 + ,13673.28 + ,15594 + ,7.2 + ,-1 + ,1.4 + ,4.39 + ,4202.52 + ,16460.95 + ,13239.71 + ,15683 + ,5 + ,-2 + ,1.1 + ,4.33 + ,4296.49 + ,16235.39 + ,13557.69 + ,16438 + ,4.7 + ,-2 + ,1.5 + ,4.27 + ,4435.23 + ,16903.36 + ,13901.28 + ,17032 + ,2.3 + ,-1 + ,2.2 + ,4.29 + ,4105.18 + ,15543.76 + ,13200.58 + ,17696 + ,2.4 + ,-8 + ,2.9 + ,4.18 + ,4116.68 + ,15532.18 + ,13406.97 + ,17745 + ,0.1 + ,-4 + ,3.1 + ,4.14 + ,3844.49 + ,13731.31 + ,12538.12 + ,19394 + ,1.9 + ,-6 + ,3.5 + ,4.23 + ,3720.98 + ,13547.84 + ,12419.57 + ,20148 + ,1.7 + ,-3 + ,3.6 + ,4.07 + ,3674.4 + ,12602.93 + ,12193.88 + ,20108 + ,2 + ,-3 + ,4.4 + ,3.74 + ,3857.62 + ,13357.7 + ,12656.63 + ,18584 + ,-1.9 + ,-7 + ,4.2 + ,3.66 + ,3801.06 + ,13995.33 + ,12812.48 + ,18441 + ,0.5 + ,-9 + ,5.2 + ,3.92 + ,3504.37 + ,14084.6 + ,12056.67 + ,18391 + ,-1.3 + ,-11 + ,5.8 + ,4.45 + ,3032.6 + ,13168.91 + ,11322.38 + ,19178 + ,-3.3 + ,-13 + ,5.9 + ,4.92 + ,3047.03 + ,12989.35 + ,11530.75 + ,18079 + ,-2.8 + ,-11 + ,5.4 + ,4.9 + ,2962.34 + ,12123.53 + ,11114.08 + ,18483 + ,-8 + ,-9 + ,5.5 + ,4.54 + ,2197.82 + ,9117.03 + ,9181.73 + ,19644 + ,-13.9 + ,-17 + ,4.7 + ,4.53 + ,2014.45 + ,8531.45 + ,8614.55 + ,19195 + ,-21.9 + ,-22 + ,3.1 + ,4.14 + ,1862.83 + ,8460.94 + ,8595.56 + ,19650 + ,-28.8 + ,-25 + ,2.6 + ,4.05 + ,1905.41 + ,8331.49 + ,8396.2 + ,20830 + ,-27.6 + ,-20 + ,2.3 + ,3.92 + ,1810.99 + ,7694.78 + ,7690.5 + ,23595 + ,-31.4 + ,-24 + ,1.9 + ,3.68 + ,1670.07 + ,7764.58 + ,7235.47 + ,22937 + ,-31.8 + ,-24 + ,0.6 + ,3.35 + ,1864.44 + ,8767.96 + ,7992.12 + ,21814 + ,-29.4 + ,-22 + ,0.6 + ,3.38 + ,2052.02 + ,9304.43 + ,8398.37 + ,21928 + ,-27.6 + ,-19 + ,-0.4 + ,3.44 + ,2029.6 + ,9810.31 + ,8593 + ,21777 + ,-23.6 + ,-18 + ,-1.1 + ,3.5 + ,2070.83 + ,9691.12 + ,8679.75 + ,21383 + ,-22.8 + ,-17 + ,-1.7 + ,3.54 + ,2293.41 + ,10430.35 + ,9374.63 + ,21467 + ,-18.2 + ,-11 + ,-0.8 + ,3.52 + ,2443.27 + ,10302.87 + ,9634.97 + ,22052 + ,-17.8 + ,-11 + ,-1.2 + ,3.53 + ,2513.17 + ,10066.24 + ,9857.34 + ,22680 + ,-14.2 + ,-12 + ,-1 + ,3.55 + ,2466.92 + ,9633.83 + ,10238.83 + ,24320 + ,-8.8 + ,-10 + ,-0.1 + ,3.37 + ,2502.66 + ,10169.02 + ,10433.44 + ,24977 + ,-7.9 + ,-15 + ,0.3 + ,3.36) + ,dim=c(8 + ,72) + ,dimnames=list(c('BEL_20' + ,'Nikkei' + ,'DJ_Indust' + ,'Goudprijs' + ,'Conjunct_Seizoenzuiver' + ,'Cons_vertrouw' + ,'Alg_consumptie_index_BE' + ,'Gem_rente_kasbon_5j') + ,1:72)) > y <- array(NA,dim=c(8,72),dimnames=list(c('BEL_20','Nikkei','DJ_Indust','Goudprijs','Conjunct_Seizoenzuiver','Cons_vertrouw','Alg_consumptie_index_BE','Gem_rente_kasbon_5j'),1:72)) > 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 = 'Include Monthly Dummies' > par1 = '1' > #'GNU S' R Code compiled by R2WASP v. 1.0.44 () > #Author: Prof. Dr. P. Wessa > #To cite this work: AUTHOR(S), (YEAR), YOUR SOFTWARE TITLE (vNUMBER) in Free Statistics Software (v$_version), Office for Research Development and Education, URL http://www.wessa.net/rwasp_YOURPAGE.wasp/ > #Source of accompanying publication: Office for Research, Development, and Education > #Technical description: Write here your technical program description (don't use hard returns!) > library(lattice) > library(lmtest) Loading required package: zoo > n25 <- 25 #minimum number of obs. for Goldfeld-Quandt test > par1 <- as.numeric(par1) > x <- t(y) > k <- length(x[1,]) > n <- length(x[,1]) > x1 <- cbind(x[,par1], x[,1:k!=par1]) > mycolnames <- c(colnames(x)[par1], colnames(x)[1:k!=par1]) > colnames(x1) <- mycolnames #colnames(x)[par1] > x <- x1 > if (par3 == 'First Differences'){ + x2 <- array(0, dim=c(n-1,k), dimnames=list(1:(n-1), paste('(1-B)',colnames(x),sep=''))) + for (i in 1:n-1) { + for (j in 1:k) { + x2[i,j] <- x[i+1,j] - x[i,j] + } + } + x <- x2 + } > if (par2 == 'Include Monthly Dummies'){ + x2 <- array(0, dim=c(n,11), dimnames=list(1:n, paste('M', seq(1:11), sep =''))) + for (i in 1:11){ + x2[seq(i,n,12),i] <- 1 + } + x <- cbind(x, x2) + } > if (par2 == 'Include Quarterly Dummies'){ + x2 <- array(0, dim=c(n,3), dimnames=list(1:n, paste('Q', seq(1:3), sep =''))) + for (i in 1:3){ + x2[seq(i,n,4),i] <- 1 + } + x <- cbind(x, x2) + } > k <- length(x[1,]) > if (par3 == 'Linear Trend'){ + x <- cbind(x, c(1:n)) + colnames(x)[k+1] <- 't' + } > x BEL_20 Nikkei DJ_Indust Goudprijs Conjunct_Seizoenzuiver Cons_vertrouw 1 2350.44 10892.76 10540.05 10570 -4.9 -3 2 2440.25 10631.92 10601.61 10297 -4.0 -1 3 2408.64 11441.08 10323.73 10635 -3.1 -3 4 2472.81 11950.95 10418.40 10872 -1.3 -4 5 2407.60 11037.54 10092.96 10296 0.0 -6 6 2454.62 11527.72 10364.91 10383 -0.4 0 7 2448.05 11383.89 10152.09 10431 3.0 -4 8 2497.84 10989.34 10032.80 10574 0.4 -2 9 2645.64 11079.42 10204.59 10653 1.2 -2 10 2756.76 11028.93 10001.60 10805 0.6 -6 11 2849.27 10973.00 10411.75 10872 -1.3 -7 12 2921.44 11068.05 10673.38 10625 -3.2 -6 13 2981.85 11394.84 10539.51 10407 -1.8 -6 14 3080.58 11545.71 10723.78 10463 -3.6 -3 15 3106.22 11809.38 10682.06 10556 -4.2 -2 16 3119.31 11395.64 10283.19 10646 -6.9 -5 17 3061.26 11082.38 10377.18 10702 -8.0 -11 18 3097.31 11402.75 10486.64 11353 -7.5 -11 19 3161.69 11716.87 10545.38 11346 -8.2 -11 20 3257.16 12204.98 10554.27 11451 -7.6 -10 21 3277.01 12986.62 10532.54 11964 -3.7 -14 22 3295.32 13392.79 10324.31 12574 -1.7 -8 23 3363.99 14368.05 10695.25 13031 -0.7 -9 24 3494.17 15650.83 10827.81 13812 0.2 -5 25 3667.03 16102.64 10872.48 14544 0.6 -1 26 3813.06 16187.64 10971.19 14931 2.2 -2 27 3917.96 16311.54 11145.65 14886 3.3 -5 28 3895.51 17232.97 11234.68 16005 5.3 -4 29 3801.06 16397.83 11333.88 17064 5.5 -6 30 3570.12 14990.31 10997.97 15168 6.3 -2 31 3701.61 15147.55 11036.89 16050 7.7 -2 32 3862.27 15786.78 11257.35 15839 6.5 -2 33 3970.10 15934.09 11533.59 15137 5.5 -2 34 4138.52 16519.44 11963.12 14954 6.9 2 35 4199.75 16101.07 12185.15 15648 5.7 1 36 4290.89 16775.08 12377.62 15305 6.9 -8 37 4443.91 17286.32 12512.89 15579 6.1 -1 38 4502.64 17741.23 12631.48 16348 4.8 1 39 4356.98 17128.37 12268.53 15928 3.7 -1 40 4591.27 17460.53 12754.80 16171 5.8 2 41 4696.96 17611.14 13407.75 15937 6.8 2 42 4621.40 18001.37 13480.21 15713 8.5 1 43 4562.84 17974.77 13673.28 15594 7.2 -1 44 4202.52 16460.95 13239.71 15683 5.0 -2 45 4296.49 16235.39 13557.69 16438 4.7 -2 46 4435.23 16903.36 13901.28 17032 2.3 -1 47 4105.18 15543.76 13200.58 17696 2.4 -8 48 4116.68 15532.18 13406.97 17745 0.1 -4 49 3844.49 13731.31 12538.12 19394 1.9 -6 50 3720.98 13547.84 12419.57 20148 1.7 -3 51 3674.40 12602.93 12193.88 20108 2.0 -3 52 3857.62 13357.70 12656.63 18584 -1.9 -7 53 3801.06 13995.33 12812.48 18441 0.5 -9 54 3504.37 14084.60 12056.67 18391 -1.3 -11 55 3032.60 13168.91 11322.38 19178 -3.3 -13 56 3047.03 12989.35 11530.75 18079 -2.8 -11 57 2962.34 12123.53 11114.08 18483 -8.0 -9 58 2197.82 9117.03 9181.73 19644 -13.9 -17 59 2014.45 8531.45 8614.55 19195 -21.9 -22 60 1862.83 8460.94 8595.56 19650 -28.8 -25 61 1905.41 8331.49 8396.20 20830 -27.6 -20 62 1810.99 7694.78 7690.50 23595 -31.4 -24 63 1670.07 7764.58 7235.47 22937 -31.8 -24 64 1864.44 8767.96 7992.12 21814 -29.4 -22 65 2052.02 9304.43 8398.37 21928 -27.6 -19 66 2029.60 9810.31 8593.00 21777 -23.6 -18 67 2070.83 9691.12 8679.75 21383 -22.8 -17 68 2293.41 10430.35 9374.63 21467 -18.2 -11 69 2443.27 10302.87 9634.97 22052 -17.8 -11 70 2513.17 10066.24 9857.34 22680 -14.2 -12 71 2466.92 9633.83 10238.83 24320 -8.8 -10 72 2502.66 10169.02 10433.44 24977 -7.9 -15 Alg_consumptie_index_BE Gem_rente_kasbon_5j M1 M2 M3 M4 M5 M6 M7 M8 M9 M10 1 1.6 3.38 1 0 0 0 0 0 0 0 0 0 2 1.3 3.35 0 1 0 0 0 0 0 0 0 0 3 1.1 3.22 0 0 1 0 0 0 0 0 0 0 4 1.9 3.06 0 0 0 1 0 0 0 0 0 0 5 2.6 3.17 0 0 0 0 1 0 0 0 0 0 6 2.3 3.19 0 0 0 0 0 1 0 0 0 0 7 2.4 3.35 0 0 0 0 0 0 1 0 0 0 8 2.2 3.24 0 0 0 0 0 0 0 1 0 0 9 2.0 3.23 0 0 0 0 0 0 0 0 1 0 10 2.9 3.31 0 0 0 0 0 0 0 0 0 1 11 2.6 3.25 0 0 0 0 0 0 0 0 0 0 12 2.3 3.20 0 0 0 0 0 0 0 0 0 0 13 2.3 3.10 1 0 0 0 0 0 0 0 0 0 14 2.6 2.93 0 1 0 0 0 0 0 0 0 0 15 3.1 2.92 0 0 1 0 0 0 0 0 0 0 16 2.8 2.90 0 0 0 1 0 0 0 0 0 0 17 2.5 2.87 0 0 0 0 1 0 0 0 0 0 18 2.9 2.76 0 0 0 0 0 1 0 0 0 0 19 3.1 2.67 0 0 0 0 0 0 1 0 0 0 20 3.1 2.75 0 0 0 0 0 0 0 1 0 0 21 3.2 2.72 0 0 0 0 0 0 0 0 1 0 22 2.5 2.72 0 0 0 0 0 0 0 0 0 1 23 2.6 2.86 0 0 0 0 0 0 0 0 0 0 24 2.9 2.99 0 0 0 0 0 0 0 0 0 0 25 2.6 3.07 1 0 0 0 0 0 0 0 0 0 26 2.4 2.96 0 1 0 0 0 0 0 0 0 0 27 1.7 3.04 0 0 1 0 0 0 0 0 0 0 28 2.0 3.30 0 0 0 1 0 0 0 0 0 0 29 2.2 3.48 0 0 0 0 1 0 0 0 0 0 30 1.9 3.46 0 0 0 0 0 1 0 0 0 0 31 1.6 3.57 0 0 0 0 0 0 1 0 0 0 32 1.6 3.60 0 0 0 0 0 0 0 1 0 0 33 1.2 3.51 0 0 0 0 0 0 0 0 1 0 34 1.2 3.52 0 0 0 0 0 0 0 0 0 1 35 1.5 3.49 0 0 0 0 0 0 0 0 0 0 36 1.6 3.50 0 0 0 0 0 0 0 0 0 0 37 1.7 3.64 1 0 0 0 0 0 0 0 0 0 38 1.8 3.94 0 1 0 0 0 0 0 0 0 0 39 1.8 3.94 0 0 1 0 0 0 0 0 0 0 40 1.8 3.91 0 0 0 1 0 0 0 0 0 0 41 1.3 3.88 0 0 0 0 1 0 0 0 0 0 42 1.3 4.21 0 0 0 0 0 1 0 0 0 0 43 1.4 4.39 0 0 0 0 0 0 1 0 0 0 44 1.1 4.33 0 0 0 0 0 0 0 1 0 0 45 1.5 4.27 0 0 0 0 0 0 0 0 1 0 46 2.2 4.29 0 0 0 0 0 0 0 0 0 1 47 2.9 4.18 0 0 0 0 0 0 0 0 0 0 48 3.1 4.14 0 0 0 0 0 0 0 0 0 0 49 3.5 4.23 1 0 0 0 0 0 0 0 0 0 50 3.6 4.07 0 1 0 0 0 0 0 0 0 0 51 4.4 3.74 0 0 1 0 0 0 0 0 0 0 52 4.2 3.66 0 0 0 1 0 0 0 0 0 0 53 5.2 3.92 0 0 0 0 1 0 0 0 0 0 54 5.8 4.45 0 0 0 0 0 1 0 0 0 0 55 5.9 4.92 0 0 0 0 0 0 1 0 0 0 56 5.4 4.90 0 0 0 0 0 0 0 1 0 0 57 5.5 4.54 0 0 0 0 0 0 0 0 1 0 58 4.7 4.53 0 0 0 0 0 0 0 0 0 1 59 3.1 4.14 0 0 0 0 0 0 0 0 0 0 60 2.6 4.05 0 0 0 0 0 0 0 0 0 0 61 2.3 3.92 1 0 0 0 0 0 0 0 0 0 62 1.9 3.68 0 1 0 0 0 0 0 0 0 0 63 0.6 3.35 0 0 1 0 0 0 0 0 0 0 64 0.6 3.38 0 0 0 1 0 0 0 0 0 0 65 -0.4 3.44 0 0 0 0 1 0 0 0 0 0 66 -1.1 3.50 0 0 0 0 0 1 0 0 0 0 67 -1.7 3.54 0 0 0 0 0 0 1 0 0 0 68 -0.8 3.52 0 0 0 0 0 0 0 1 0 0 69 -1.2 3.53 0 0 0 0 0 0 0 0 1 0 70 -1.0 3.55 0 0 0 0 0 0 0 0 0 1 71 -0.1 3.37 0 0 0 0 0 0 0 0 0 0 72 0.3 3.36 0 0 0 0 0 0 0 0 0 0 M11 t 1 0 1 2 0 2 3 0 3 4 0 4 5 0 5 6 0 6 7 0 7 8 0 8 9 0 9 10 0 10 11 1 11 12 0 12 13 0 13 14 0 14 15 0 15 16 0 16 17 0 17 18 0 18 19 0 19 20 0 20 21 0 21 22 0 22 23 1 23 24 0 24 25 0 25 26 0 26 27 0 27 28 0 28 29 0 29 30 0 30 31 0 31 32 0 32 33 0 33 34 0 34 35 1 35 36 0 36 37 0 37 38 0 38 39 0 39 40 0 40 41 0 41 42 0 42 43 0 43 44 0 44 45 0 45 46 0 46 47 1 47 48 0 48 49 0 49 50 0 50 51 0 51 52 0 52 53 0 53 54 0 54 55 0 55 56 0 56 57 0 57 58 0 58 59 1 59 60 0 60 61 0 61 62 0 62 63 0 63 64 0 64 65 0 65 66 0 66 67 0 67 68 0 68 69 0 69 70 0 70 71 1 71 72 0 72 > k <- length(x[1,]) > df <- as.data.frame(x) > (mylm <- lm(df)) Call: lm(formula = df) Coefficients: (Intercept) Nikkei DJ_Indust -204.72246 0.17740 0.22014 Goudprijs Conjunct_Seizoenzuiver Cons_vertrouw -0.07931 8.83568 -8.23573 Alg_consumptie_index_BE Gem_rente_kasbon_5j M1 18.53284 -280.15537 161.09041 M2 M3 M4 247.44557 189.27261 111.72679 M5 M6 M7 83.06017 -3.16898 12.86255 M8 M9 M10 4.30907 35.70057 112.03753 M11 t 84.53766 22.31861 > (mysum <- summary(mylm)) Call: lm(formula = df) Residuals: Min 1Q Median 3Q Max -274.22 -94.18 11.01 95.21 273.36 Coefficients: Estimate Std. Error t value Pr(>|t|) (Intercept) -204.72246 567.98052 -0.360 0.719979 Nikkei 0.17740 0.01500 11.827 2.32e-16 *** DJ_Indust 0.22014 0.03873 5.683 6.06e-07 *** Goudprijs -0.07931 0.02519 -3.149 0.002713 ** Conjunct_Seizoenzuiver 8.83568 7.89396 1.119 0.268158 Cons_vertrouw -8.23573 8.79061 -0.937 0.353153 Alg_consumptie_index_BE 18.53284 18.13143 1.022 0.311447 Gem_rente_kasbon_5j -280.15537 57.69116 -4.856 1.14e-05 *** M1 161.09041 93.47611 1.723 0.090771 . M2 247.44557 100.67728 2.458 0.017348 * M3 189.27261 94.80828 1.996 0.051142 . M4 111.72679 92.89767 1.203 0.234545 M5 83.06017 87.50212 0.949 0.346892 M6 -3.16898 90.43885 -0.035 0.972182 M7 12.86255 91.49801 0.141 0.888747 M8 4.30907 94.31335 0.046 0.963733 M9 35.70057 91.77300 0.389 0.698858 M10 112.03753 92.27560 1.214 0.230171 M11 84.53766 88.05574 0.960 0.341474 t 22.31861 5.83697 3.824 0.000354 *** --- Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 Residual standard error: 149.8 on 52 degrees of freedom Multiple R-squared: 0.977, Adjusted R-squared: 0.9686 F-statistic: 116.4 on 19 and 52 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,] 0.01990774 0.03981548 0.98009226 [2,] 0.02874061 0.05748122 0.97125939 [3,] 0.02619620 0.05239240 0.97380380 [4,] 0.02105503 0.04211006 0.97894497 [5,] 0.01306470 0.02612940 0.98693530 [6,] 0.09850107 0.19700214 0.90149893 [7,] 0.37792728 0.75585456 0.62207272 [8,] 0.89464735 0.21070529 0.10535265 [9,] 0.86114190 0.27771621 0.13885810 [10,] 0.81181131 0.37637738 0.18818869 [11,] 0.74115388 0.51769223 0.25884612 [12,] 0.75644276 0.48711448 0.24355724 [13,] 0.70969293 0.58061414 0.29030707 [14,] 0.62791585 0.74416830 0.37208415 [15,] 0.59267116 0.81465768 0.40732884 [16,] 0.63387046 0.73225909 0.36612954 [17,] 0.69713869 0.60572263 0.30286131 [18,] 0.60861731 0.78276539 0.39138269 [19,] 0.53663904 0.92672191 0.46336096 [20,] 0.51331934 0.97336132 0.48668066 [21,] 0.53523089 0.92953822 0.46476911 [22,] 0.86084784 0.27830431 0.13915216 [23,] 0.90797838 0.18404325 0.09202162 [24,] 0.91036257 0.17927487 0.08963743 [25,] 0.94523889 0.10952221 0.05476111 [26,] 0.89200170 0.21599661 0.10799830 [27,] 0.77609566 0.44780867 0.22390434 > postscript(file="/var/www/rcomp/tmp/1gmrt1291659512.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$resid) > grid() > dev.off() null device 1 > postscript(file="/var/www/rcomp/tmp/2qwqx1291659512.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > plot(mysum$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/3qwqx1291659512.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > hist(mysum$resid, main='Residual Histogram', xlab='values of Residuals') > grid() > dev.off() null device 1 > postscript(file="/var/www/rcomp/tmp/4qwqx1291659512.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > densityplot(~mysum$resid,col='black',main='Residual Density Plot', xlab='values of Residuals') > dev.off() null device 1 > postscript(file="/var/www/rcomp/tmp/5jnph1291659512.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 = 72 Frequency = 1 1 2 3 4 5 6 -106.754132 -108.874487 -217.331781 -274.220732 -155.197680 -120.081388 7 8 9 10 11 12 -108.840868 47.113505 87.506935 143.761960 163.700101 220.616728 13 14 15 16 17 18 11.440023 -73.967272 -41.218529 194.548744 139.629519 167.643614 19 20 21 22 23 24 101.726504 128.557920 -76.154576 -89.618078 -213.895414 -160.450235 25 26 27 28 29 30 -145.546887 -163.789528 -86.031283 -89.720191 60.968186 93.036742 31 32 33 34 35 36 243.674531 230.909638 133.442064 13.667550 148.864693 29.303036 37 38 39 40 41 42 2.259727 16.650223 55.403735 195.967165 111.011575 65.612572 43 44 45 46 47 48 -34.930257 -38.003685 10.578507 -74.291202 -53.372655 19.203857 49 50 51 52 53 54 190.562014 56.621387 150.106449 14.724655 -177.623604 -127.023533 55 56 57 58 59 60 -119.612813 -204.412291 -105.738752 80.184045 45.025709 28.712268 61 62 63 64 65 66 48.039255 273.359676 139.071409 -41.299641 21.212003 -79.188006 67 68 69 70 71 72 -82.017098 -164.165086 -49.634178 -73.704275 -90.322435 -137.385653 > postscript(file="/var/www/rcomp/tmp/6jnph1291659512.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 = 72 Frequency = 1 lag(myerror, k = 1) myerror 0 -106.754132 NA 1 -108.874487 -106.754132 2 -217.331781 -108.874487 3 -274.220732 -217.331781 4 -155.197680 -274.220732 5 -120.081388 -155.197680 6 -108.840868 -120.081388 7 47.113505 -108.840868 8 87.506935 47.113505 9 143.761960 87.506935 10 163.700101 143.761960 11 220.616728 163.700101 12 11.440023 220.616728 13 -73.967272 11.440023 14 -41.218529 -73.967272 15 194.548744 -41.218529 16 139.629519 194.548744 17 167.643614 139.629519 18 101.726504 167.643614 19 128.557920 101.726504 20 -76.154576 128.557920 21 -89.618078 -76.154576 22 -213.895414 -89.618078 23 -160.450235 -213.895414 24 -145.546887 -160.450235 25 -163.789528 -145.546887 26 -86.031283 -163.789528 27 -89.720191 -86.031283 28 60.968186 -89.720191 29 93.036742 60.968186 30 243.674531 93.036742 31 230.909638 243.674531 32 133.442064 230.909638 33 13.667550 133.442064 34 148.864693 13.667550 35 29.303036 148.864693 36 2.259727 29.303036 37 16.650223 2.259727 38 55.403735 16.650223 39 195.967165 55.403735 40 111.011575 195.967165 41 65.612572 111.011575 42 -34.930257 65.612572 43 -38.003685 -34.930257 44 10.578507 -38.003685 45 -74.291202 10.578507 46 -53.372655 -74.291202 47 19.203857 -53.372655 48 190.562014 19.203857 49 56.621387 190.562014 50 150.106449 56.621387 51 14.724655 150.106449 52 -177.623604 14.724655 53 -127.023533 -177.623604 54 -119.612813 -127.023533 55 -204.412291 -119.612813 56 -105.738752 -204.412291 57 80.184045 -105.738752 58 45.025709 80.184045 59 28.712268 45.025709 60 48.039255 28.712268 61 273.359676 48.039255 62 139.071409 273.359676 63 -41.299641 139.071409 64 21.212003 -41.299641 65 -79.188006 21.212003 66 -82.017098 -79.188006 67 -164.165086 -82.017098 68 -49.634178 -164.165086 69 -73.704275 -49.634178 70 -90.322435 -73.704275 71 -137.385653 -90.322435 72 NA -137.385653 > dum1 <- dum[2:length(myerror),] > dum1 lag(myerror, k = 1) myerror [1,] -108.874487 -106.754132 [2,] -217.331781 -108.874487 [3,] -274.220732 -217.331781 [4,] -155.197680 -274.220732 [5,] -120.081388 -155.197680 [6,] -108.840868 -120.081388 [7,] 47.113505 -108.840868 [8,] 87.506935 47.113505 [9,] 143.761960 87.506935 [10,] 163.700101 143.761960 [11,] 220.616728 163.700101 [12,] 11.440023 220.616728 [13,] -73.967272 11.440023 [14,] -41.218529 -73.967272 [15,] 194.548744 -41.218529 [16,] 139.629519 194.548744 [17,] 167.643614 139.629519 [18,] 101.726504 167.643614 [19,] 128.557920 101.726504 [20,] -76.154576 128.557920 [21,] -89.618078 -76.154576 [22,] -213.895414 -89.618078 [23,] -160.450235 -213.895414 [24,] -145.546887 -160.450235 [25,] -163.789528 -145.546887 [26,] -86.031283 -163.789528 [27,] -89.720191 -86.031283 [28,] 60.968186 -89.720191 [29,] 93.036742 60.968186 [30,] 243.674531 93.036742 [31,] 230.909638 243.674531 [32,] 133.442064 230.909638 [33,] 13.667550 133.442064 [34,] 148.864693 13.667550 [35,] 29.303036 148.864693 [36,] 2.259727 29.303036 [37,] 16.650223 2.259727 [38,] 55.403735 16.650223 [39,] 195.967165 55.403735 [40,] 111.011575 195.967165 [41,] 65.612572 111.011575 [42,] -34.930257 65.612572 [43,] -38.003685 -34.930257 [44,] 10.578507 -38.003685 [45,] -74.291202 10.578507 [46,] -53.372655 -74.291202 [47,] 19.203857 -53.372655 [48,] 190.562014 19.203857 [49,] 56.621387 190.562014 [50,] 150.106449 56.621387 [51,] 14.724655 150.106449 [52,] -177.623604 14.724655 [53,] -127.023533 -177.623604 [54,] -119.612813 -127.023533 [55,] -204.412291 -119.612813 [56,] -105.738752 -204.412291 [57,] 80.184045 -105.738752 [58,] 45.025709 80.184045 [59,] 28.712268 45.025709 [60,] 48.039255 28.712268 [61,] 273.359676 48.039255 [62,] 139.071409 273.359676 [63,] -41.299641 139.071409 [64,] 21.212003 -41.299641 [65,] -79.188006 21.212003 [66,] -82.017098 -79.188006 [67,] -164.165086 -82.017098 [68,] -49.634178 -164.165086 [69,] -73.704275 -49.634178 [70,] -90.322435 -73.704275 [71,] -137.385653 -90.322435 > z <- as.data.frame(dum1) > z lag(myerror, k = 1) myerror 1 -108.874487 -106.754132 2 -217.331781 -108.874487 3 -274.220732 -217.331781 4 -155.197680 -274.220732 5 -120.081388 -155.197680 6 -108.840868 -120.081388 7 47.113505 -108.840868 8 87.506935 47.113505 9 143.761960 87.506935 10 163.700101 143.761960 11 220.616728 163.700101 12 11.440023 220.616728 13 -73.967272 11.440023 14 -41.218529 -73.967272 15 194.548744 -41.218529 16 139.629519 194.548744 17 167.643614 139.629519 18 101.726504 167.643614 19 128.557920 101.726504 20 -76.154576 128.557920 21 -89.618078 -76.154576 22 -213.895414 -89.618078 23 -160.450235 -213.895414 24 -145.546887 -160.450235 25 -163.789528 -145.546887 26 -86.031283 -163.789528 27 -89.720191 -86.031283 28 60.968186 -89.720191 29 93.036742 60.968186 30 243.674531 93.036742 31 230.909638 243.674531 32 133.442064 230.909638 33 13.667550 133.442064 34 148.864693 13.667550 35 29.303036 148.864693 36 2.259727 29.303036 37 16.650223 2.259727 38 55.403735 16.650223 39 195.967165 55.403735 40 111.011575 195.967165 41 65.612572 111.011575 42 -34.930257 65.612572 43 -38.003685 -34.930257 44 10.578507 -38.003685 45 -74.291202 10.578507 46 -53.372655 -74.291202 47 19.203857 -53.372655 48 190.562014 19.203857 49 56.621387 190.562014 50 150.106449 56.621387 51 14.724655 150.106449 52 -177.623604 14.724655 53 -127.023533 -177.623604 54 -119.612813 -127.023533 55 -204.412291 -119.612813 56 -105.738752 -204.412291 57 80.184045 -105.738752 58 45.025709 80.184045 59 28.712268 45.025709 60 48.039255 28.712268 61 273.359676 48.039255 62 139.071409 273.359676 63 -41.299641 139.071409 64 21.212003 -41.299641 65 -79.188006 21.212003 66 -82.017098 -79.188006 67 -164.165086 -82.017098 68 -49.634178 -164.165086 69 -73.704275 -49.634178 70 -90.322435 -73.704275 71 -137.385653 -90.322435 > 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/7uwo21291659512.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > acf(mysum$resid, lag.max=length(mysum$resid)/2, main='Residual Autocorrelation Function') > grid() > dev.off() null device 1 > postscript(file="/var/www/rcomp/tmp/8uwo21291659512.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > pacf(mysum$resid, lag.max=length(mysum$resid)/2, main='Residual Partial Autocorrelation Function') > grid() > dev.off() null device 1 > postscript(file="/var/www/rcomp/tmp/9xx801291659513.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > opar <- par(mfrow = c(2,2), oma = c(0, 0, 1.1, 0)) > plot(mylm, las = 1, sub='Residual Diagnostics') > par(opar) > dev.off() null device 1 > if (n > n25) { + postscript(file="/var/www/rcomp/tmp/10xx801291659513.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) + plot(kp3:nmkm3,gqarr[,2], main='Goldfeld-Quandt test',ylab='2-sided p-value',xlab='breakpoint') + grid() + dev.off() + } null device 1 > > #Note: the /var/www/rcomp/createtable file can be downloaded at http://www.wessa.net/cretab > load(file="/var/www/rcomp/createtable") > > a<-table.start() > a<-table.row.start(a) > a<-table.element(a, 'Multiple Linear Regression - Estimated Regression Equation', 1, TRUE) > a<-table.row.end(a) > myeq <- colnames(x)[1] > myeq <- paste(myeq, '[t] = ', sep='') > for (i in 1:k){ + if (mysum$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/110ypo1291659513.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/12mg5u1291659513.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/13t0lo1291659513.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/143r2r1291659513.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/15pr0e1291659513.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/16l1g51291659513.tab") + } > > try(system("convert tmp/1gmrt1291659512.ps tmp/1gmrt1291659512.png",intern=TRUE)) character(0) > try(system("convert tmp/2qwqx1291659512.ps tmp/2qwqx1291659512.png",intern=TRUE)) character(0) > try(system("convert tmp/3qwqx1291659512.ps tmp/3qwqx1291659512.png",intern=TRUE)) character(0) > try(system("convert tmp/4qwqx1291659512.ps tmp/4qwqx1291659512.png",intern=TRUE)) character(0) > try(system("convert tmp/5jnph1291659512.ps tmp/5jnph1291659512.png",intern=TRUE)) character(0) > try(system("convert tmp/6jnph1291659512.ps tmp/6jnph1291659512.png",intern=TRUE)) character(0) > try(system("convert tmp/7uwo21291659512.ps tmp/7uwo21291659512.png",intern=TRUE)) character(0) > try(system("convert tmp/8uwo21291659512.ps tmp/8uwo21291659512.png",intern=TRUE)) character(0) > try(system("convert tmp/9xx801291659513.ps tmp/9xx801291659513.png",intern=TRUE)) character(0) > try(system("convert tmp/10xx801291659513.ps tmp/10xx801291659513.png",intern=TRUE)) character(0) > > > proc.time() user system elapsed 3.350 1.610 4.936