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Type 'q()' to quit R. > x <- array(list(1.39,1.08,1.34,1.12,1.33,1.12,1.3,1.16,1.28,1.16,1.29,1.16,1.29,1.16,1.28,1.15,1.27,1.17,1.26,1.16,1.29,1.19,1.36,1.13,1.33,1.14,1.35,1.13,1.31,1.16,1.3,1.17,1.32,1.14,1.33,1.14,1.36,1.11,1.35,1.12,1.4,1.08,1.41,1.07,1.4,1.09,1.4,1.08,1.4,1.08,1.41,1.08,1.4,1.09,1.39,1.08,1.41,1.07,1.42,1.07,1.43,1.07,1.42,1.08,1.42,1.07,1.43,1.06,1.43,1.06,1.43,1.06,1.46,1.04,1.47,1.03,1.47,1.03,1.46,1.04,1.47,1.03,1.49,1.02,1.5,1.01,1.47,1.03,1.48,1.02,1.49,1.01,1.49,1.02,1.5,1.01,1.48,1.02,1.46,1.03,1.43,1.04,1.44,1.04,1.43,1.03),dim=c(2,53),dimnames=list(c('eu/us','us/ch'),1:53)) > y <- array(NA,dim=c(2,53),dimnames=list(c('eu/us','us/ch'),1:53)) > for (i in 1:dim(x)[1]) + { + for (j in 1:dim(x)[2]) + { + y[i,j] <- as.numeric(x[i,j]) + } + } > par3 = 'No Linear Trend' > par2 = 'Do not include Seasonal Dummies' > par1 = '1' > #'GNU S' R Code compiled by R2WASP v. 1.0.44 () > #Author: Prof. Dr. P. Wessa > #To cite this work: AUTHOR(S), (YEAR), YOUR SOFTWARE TITLE (vNUMBER) in Free Statistics Software (v$_version), Office for Research Development and Education, URL http://www.wessa.net/rwasp_YOURPAGE.wasp/ > #Source of accompanying publication: Office for Research, Development, and Education > #Technical description: Write here your technical program description (don't use hard returns!) > library(lattice) > 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 eu/us us/ch 1 1.39 1.08 2 1.34 1.12 3 1.33 1.12 4 1.30 1.16 5 1.28 1.16 6 1.29 1.16 7 1.29 1.16 8 1.28 1.15 9 1.27 1.17 10 1.26 1.16 11 1.29 1.19 12 1.36 1.13 13 1.33 1.14 14 1.35 1.13 15 1.31 1.16 16 1.30 1.17 17 1.32 1.14 18 1.33 1.14 19 1.36 1.11 20 1.35 1.12 21 1.40 1.08 22 1.41 1.07 23 1.40 1.09 24 1.40 1.08 25 1.40 1.08 26 1.41 1.08 27 1.40 1.09 28 1.39 1.08 29 1.41 1.07 30 1.42 1.07 31 1.43 1.07 32 1.42 1.08 33 1.42 1.07 34 1.43 1.06 35 1.43 1.06 36 1.43 1.06 37 1.46 1.04 38 1.47 1.03 39 1.47 1.03 40 1.46 1.04 41 1.47 1.03 42 1.49 1.02 43 1.50 1.01 44 1.47 1.03 45 1.48 1.02 46 1.49 1.01 47 1.49 1.02 48 1.50 1.01 49 1.48 1.02 50 1.46 1.03 51 1.43 1.04 52 1.44 1.04 53 1.43 1.03 > k <- length(x[1,]) > df <- as.data.frame(x) > (mylm <- lm(df)) Call: lm(formula = df) Coefficients: (Intercept) `us/ch` 2.817 -1.311 > (mysum <- summary(mylm)) Call: lm(formula = df) Residuals: Min 1Q Median 3Q Max -0.036956 -0.006502 0.002380 0.007274 0.032834 Coefficients: Estimate Std. Error t value Pr(>|t|) (Intercept) 2.81747 0.03914 71.98 <2e-16 *** `us/ch` -1.31118 0.03603 -36.39 <2e-16 *** --- Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 Residual standard error: 0.01368 on 51 degrees of freedom Multiple R-squared: 0.9629, Adjusted R-squared: 0.9622 F-statistic: 1324 on 1 and 51 DF, p-value: < 2.2e-16 > postscript(file="/var/www/html/rcomp/tmp/140ix1290500082.ps",horizontal=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/html/rcomp/tmp/240ix1290500082.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > plot(mysum$resid, type='b', pch=19, main='Residuals', ylab='value of Residuals', xlab='time or index') > grid() > dev.off() null device 1 > postscript(file="/var/www/html/rcomp/tmp/340ix1290500082.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > hist(mysum$resid, main='Residual Histogram', xlab='values of Residuals') > grid() > dev.off() null device 1 > postscript(file="/var/www/html/rcomp/tmp/4x9001290500082.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > densityplot(~mysum$resid,col='black',main='Residual Density Plot', xlab='values of Residuals') > dev.off() null device 1 > postscript(file="/var/www/html/rcomp/tmp/5x9001290500082.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > qqnorm(mysum$resid, main='Residual Normal Q-Q Plot') > grid() > dev.off() null device 1 > (myerror <- as.ts(mysum$resid)) Time Series: Start = 1 End = 53 Frequency = 1 1 2 3 4 5 -1.139659e-02 -8.949284e-03 -1.894928e-02 3.498023e-03 -1.650198e-02 6 7 8 9 10 -6.501977e-03 -6.501977e-03 -2.961380e-02 -1.339015e-02 -3.650198e-02 11 12 13 14 15 3.283350e-02 2.416254e-02 7.274370e-03 1.416254e-02 1.349802e-02 16 17 18 19 20 1.660985e-02 -2.725630e-03 7.274370e-03 -2.061111e-03 1.050716e-03 21 22 23 24 25 -1.396591e-03 -4.508418e-03 1.171524e-02 -1.396591e-03 -1.396591e-03 26 27 28 29 30 8.603409e-03 1.171524e-02 -1.139659e-02 -4.508418e-03 5.491582e-03 31 32 33 34 35 1.549158e-02 1.860341e-02 5.491582e-03 2.379755e-03 2.379755e-03 36 37 38 39 40 2.379755e-03 6.156102e-03 3.044275e-03 3.044275e-03 6.156102e-03 41 42 43 44 45 3.044275e-03 9.932448e-03 6.820622e-03 3.044275e-03 -6.755165e-05 46 47 48 49 50 -3.179378e-03 9.932448e-03 6.820622e-03 -6.755165e-05 -6.955725e-03 51 52 53 -2.384390e-02 -1.384390e-02 -3.695572e-02 > postscript(file="/var/www/html/rcomp/tmp/6x9001290500082.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > dum <- cbind(lag(myerror,k=1),myerror) > dum Time Series: Start = 0 End = 53 Frequency = 1 lag(myerror, k = 1) myerror 0 -1.139659e-02 NA 1 -8.949284e-03 -1.139659e-02 2 -1.894928e-02 -8.949284e-03 3 3.498023e-03 -1.894928e-02 4 -1.650198e-02 3.498023e-03 5 -6.501977e-03 -1.650198e-02 6 -6.501977e-03 -6.501977e-03 7 -2.961380e-02 -6.501977e-03 8 -1.339015e-02 -2.961380e-02 9 -3.650198e-02 -1.339015e-02 10 3.283350e-02 -3.650198e-02 11 2.416254e-02 3.283350e-02 12 7.274370e-03 2.416254e-02 13 1.416254e-02 7.274370e-03 14 1.349802e-02 1.416254e-02 15 1.660985e-02 1.349802e-02 16 -2.725630e-03 1.660985e-02 17 7.274370e-03 -2.725630e-03 18 -2.061111e-03 7.274370e-03 19 1.050716e-03 -2.061111e-03 20 -1.396591e-03 1.050716e-03 21 -4.508418e-03 -1.396591e-03 22 1.171524e-02 -4.508418e-03 23 -1.396591e-03 1.171524e-02 24 -1.396591e-03 -1.396591e-03 25 8.603409e-03 -1.396591e-03 26 1.171524e-02 8.603409e-03 27 -1.139659e-02 1.171524e-02 28 -4.508418e-03 -1.139659e-02 29 5.491582e-03 -4.508418e-03 30 1.549158e-02 5.491582e-03 31 1.860341e-02 1.549158e-02 32 5.491582e-03 1.860341e-02 33 2.379755e-03 5.491582e-03 34 2.379755e-03 2.379755e-03 35 2.379755e-03 2.379755e-03 36 6.156102e-03 2.379755e-03 37 3.044275e-03 6.156102e-03 38 3.044275e-03 3.044275e-03 39 6.156102e-03 3.044275e-03 40 3.044275e-03 6.156102e-03 41 9.932448e-03 3.044275e-03 42 6.820622e-03 9.932448e-03 43 3.044275e-03 6.820622e-03 44 -6.755165e-05 3.044275e-03 45 -3.179378e-03 -6.755165e-05 46 9.932448e-03 -3.179378e-03 47 6.820622e-03 9.932448e-03 48 -6.755165e-05 6.820622e-03 49 -6.955725e-03 -6.755165e-05 50 -2.384390e-02 -6.955725e-03 51 -1.384390e-02 -2.384390e-02 52 -3.695572e-02 -1.384390e-02 53 NA -3.695572e-02 > dum1 <- dum[2:length(myerror),] > dum1 lag(myerror, k = 1) myerror [1,] -8.949284e-03 -1.139659e-02 [2,] -1.894928e-02 -8.949284e-03 [3,] 3.498023e-03 -1.894928e-02 [4,] -1.650198e-02 3.498023e-03 [5,] -6.501977e-03 -1.650198e-02 [6,] -6.501977e-03 -6.501977e-03 [7,] -2.961380e-02 -6.501977e-03 [8,] -1.339015e-02 -2.961380e-02 [9,] -3.650198e-02 -1.339015e-02 [10,] 3.283350e-02 -3.650198e-02 [11,] 2.416254e-02 3.283350e-02 [12,] 7.274370e-03 2.416254e-02 [13,] 1.416254e-02 7.274370e-03 [14,] 1.349802e-02 1.416254e-02 [15,] 1.660985e-02 1.349802e-02 [16,] -2.725630e-03 1.660985e-02 [17,] 7.274370e-03 -2.725630e-03 [18,] -2.061111e-03 7.274370e-03 [19,] 1.050716e-03 -2.061111e-03 [20,] -1.396591e-03 1.050716e-03 [21,] -4.508418e-03 -1.396591e-03 [22,] 1.171524e-02 -4.508418e-03 [23,] -1.396591e-03 1.171524e-02 [24,] -1.396591e-03 -1.396591e-03 [25,] 8.603409e-03 -1.396591e-03 [26,] 1.171524e-02 8.603409e-03 [27,] -1.139659e-02 1.171524e-02 [28,] -4.508418e-03 -1.139659e-02 [29,] 5.491582e-03 -4.508418e-03 [30,] 1.549158e-02 5.491582e-03 [31,] 1.860341e-02 1.549158e-02 [32,] 5.491582e-03 1.860341e-02 [33,] 2.379755e-03 5.491582e-03 [34,] 2.379755e-03 2.379755e-03 [35,] 2.379755e-03 2.379755e-03 [36,] 6.156102e-03 2.379755e-03 [37,] 3.044275e-03 6.156102e-03 [38,] 3.044275e-03 3.044275e-03 [39,] 6.156102e-03 3.044275e-03 [40,] 3.044275e-03 6.156102e-03 [41,] 9.932448e-03 3.044275e-03 [42,] 6.820622e-03 9.932448e-03 [43,] 3.044275e-03 6.820622e-03 [44,] -6.755165e-05 3.044275e-03 [45,] -3.179378e-03 -6.755165e-05 [46,] 9.932448e-03 -3.179378e-03 [47,] 6.820622e-03 9.932448e-03 [48,] -6.755165e-05 6.820622e-03 [49,] -6.955725e-03 -6.755165e-05 [50,] -2.384390e-02 -6.955725e-03 [51,] -1.384390e-02 -2.384390e-02 [52,] -3.695572e-02 -1.384390e-02 > z <- as.data.frame(dum1) > z lag(myerror, k = 1) myerror 1 -8.949284e-03 -1.139659e-02 2 -1.894928e-02 -8.949284e-03 3 3.498023e-03 -1.894928e-02 4 -1.650198e-02 3.498023e-03 5 -6.501977e-03 -1.650198e-02 6 -6.501977e-03 -6.501977e-03 7 -2.961380e-02 -6.501977e-03 8 -1.339015e-02 -2.961380e-02 9 -3.650198e-02 -1.339015e-02 10 3.283350e-02 -3.650198e-02 11 2.416254e-02 3.283350e-02 12 7.274370e-03 2.416254e-02 13 1.416254e-02 7.274370e-03 14 1.349802e-02 1.416254e-02 15 1.660985e-02 1.349802e-02 16 -2.725630e-03 1.660985e-02 17 7.274370e-03 -2.725630e-03 18 -2.061111e-03 7.274370e-03 19 1.050716e-03 -2.061111e-03 20 -1.396591e-03 1.050716e-03 21 -4.508418e-03 -1.396591e-03 22 1.171524e-02 -4.508418e-03 23 -1.396591e-03 1.171524e-02 24 -1.396591e-03 -1.396591e-03 25 8.603409e-03 -1.396591e-03 26 1.171524e-02 8.603409e-03 27 -1.139659e-02 1.171524e-02 28 -4.508418e-03 -1.139659e-02 29 5.491582e-03 -4.508418e-03 30 1.549158e-02 5.491582e-03 31 1.860341e-02 1.549158e-02 32 5.491582e-03 1.860341e-02 33 2.379755e-03 5.491582e-03 34 2.379755e-03 2.379755e-03 35 2.379755e-03 2.379755e-03 36 6.156102e-03 2.379755e-03 37 3.044275e-03 6.156102e-03 38 3.044275e-03 3.044275e-03 39 6.156102e-03 3.044275e-03 40 3.044275e-03 6.156102e-03 41 9.932448e-03 3.044275e-03 42 6.820622e-03 9.932448e-03 43 3.044275e-03 6.820622e-03 44 -6.755165e-05 3.044275e-03 45 -3.179378e-03 -6.755165e-05 46 9.932448e-03 -3.179378e-03 47 6.820622e-03 9.932448e-03 48 -6.755165e-05 6.820622e-03 49 -6.955725e-03 -6.755165e-05 50 -2.384390e-02 -6.955725e-03 51 -1.384390e-02 -2.384390e-02 52 -3.695572e-02 -1.384390e-02 > 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/html/rcomp/tmp/780h31290500082.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > acf(mysum$resid, lag.max=length(mysum$resid)/2, main='Residual Autocorrelation Function') > grid() > dev.off() null device 1 > postscript(file="/var/www/html/rcomp/tmp/8i9gn1290500082.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > pacf(mysum$resid, lag.max=length(mysum$resid)/2, main='Residual Partial Autocorrelation Function') > grid() > dev.off() null device 1 > postscript(file="/var/www/html/rcomp/tmp/9i9gn1290500082.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > opar <- par(mfrow = c(2,2), oma = c(0, 0, 1.1, 0)) > plot(mylm, las = 1, sub='Residual Diagnostics') > par(opar) > dev.off() null device 1 > > #Note: the /var/www/html/rcomp/createtable file can be downloaded at http://www.wessa.net/cretab > load(file="/var/www/html/rcomp/createtable") > > a<-table.start() > a<-table.row.start(a) > a<-table.element(a, 'Multiple Linear Regression - Estimated Regression Equation', 1, TRUE) > a<-table.row.end(a) > myeq <- colnames(x)[1] > myeq <- paste(myeq, '[t] = ', sep='') > for (i in 1:k){ + if (mysum$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/html/rcomp/tmp/104sft1290500082.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/html/rcomp/tmp/11cw261290500082.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/html/rcomp/tmp/123lt81290500082.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/html/rcomp/tmp/137law1290500082.tab") > > try(system("convert tmp/140ix1290500082.ps tmp/140ix1290500082.png",intern=TRUE)) character(0) > try(system("convert tmp/240ix1290500082.ps tmp/240ix1290500082.png",intern=TRUE)) character(0) > try(system("convert tmp/340ix1290500082.ps tmp/340ix1290500082.png",intern=TRUE)) character(0) > try(system("convert tmp/4x9001290500082.ps tmp/4x9001290500082.png",intern=TRUE)) character(0) > try(system("convert tmp/5x9001290500082.ps tmp/5x9001290500082.png",intern=TRUE)) character(0) > try(system("convert tmp/6x9001290500082.ps tmp/6x9001290500082.png",intern=TRUE)) character(0) > try(system("convert tmp/780h31290500082.ps tmp/780h31290500082.png",intern=TRUE)) character(0) > try(system("convert tmp/8i9gn1290500082.ps tmp/8i9gn1290500082.png",intern=TRUE)) character(0) > try(system("convert tmp/9i9gn1290500082.ps tmp/9i9gn1290500082.png",intern=TRUE)) character(0) > > > proc.time() user system elapsed 1.869 1.423 6.100