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Data X:
97.8 107.4 117.5 105.6 97.4 99.5 98.0 104.3 100.6 101.1 103.9 96.9 95.5 108.4 117.0 103.8 100.8 110.6 104.0 112.6 107.3 98.9 109.8 104.9 102.2 123.9 124.9 112.7 121.9 100.6 104.3 120.4 107.5 102.9 125.6 107.5 108.8 128.4 121.1 119.5 128.7 108.7 105.5 119.8 111.3 110.6 120.1 97.5 107.7 127.3 117.2 119.8 116.2 111.0 112.4 130.6 109.1 118.8 123.9 101.6 112.8 128.0 129.6 125.8 119.5 115.7 113.6 129.7 112.0 116.8 127.0 112.1 114.2 121.1 131.6 125.0 120.4 117.7 117.5 120.6 127.5 112.3 124.5 115.2 105.4
Data Y:
78.4 114.6 113.3 117.0 99.6 99.4 101.9 115.2 108.5 113.8 121.0 92.2 90.2 101.5 126.6 93.9 89.8 93.4 101.5 110.4 105.9 108.4 113.9 86.1 69.4 101.2 100.5 98.0 106.6 90.1 96.9 125.9 112.0 100.0 123.9 79.8 83.4 113.6 112.9 104.0 109.9 99.0 106.3 128.9 111.1 102.9 130.0 87.0 87.5 117.6 103.4 110.8 112.6 102.5 112.4 135.6 105.1 127.7 137.0 91.0 90.5 122.4 123.3 124.3 120.0 118.1 119.0 142.7 123.6 129.6 151.6 110.4 99.2 130.5 136.2 129.7 128.0 121.6 135.8 143.8 147.5 136.2 156.6 123.3 100.4
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R Code
n <- length(x) c <- array(NA,dim=c(401)) l <- array(NA,dim=c(401)) mx <- 0 mxli <- -999 for (i in 1:401) { l[i] <- (i-201)/100 if (l[i] != 0) { x1 <- (x^l[i] - 1) / l[i] } else { x1 <- log(x) } c[i] <- cor(x1,y) if (mx < abs(c[i])) { mx <- abs(c[i]) mxli <- l[i] } } c mx mxli if (mxli != 0) { x1 <- (x^mxli - 1) / mxli } else { x1 <- log(x) } r<-lm(y~x) se <- sqrt(var(r$residuals)) r1 <- lm(y~x1) se1 <- sqrt(var(r1$residuals)) bitmap(file='test1.png') plot(l,c,main='Box-Cox Linearity Plot',xlab='Lambda',ylab='correlation') grid() dev.off() bitmap(file='test2.png') plot(x,y,main='Linear Fit of Original Data',xlab='x',ylab='y') abline(r) grid() mtext(paste('Residual Standard Deviation = ',se)) dev.off() bitmap(file='test3.png') plot(x1,y,main='Linear Fit of Transformed Data',xlab='x',ylab='y') abline(r1) grid() mtext(paste('Residual Standard Deviation = ',se1)) dev.off() load(file='createtable') a<-table.start() a<-table.row.start(a) a<-table.element(a,'Box-Cox Linearity Plot',2,TRUE) a<-table.row.end(a) a<-table.row.start(a) a<-table.element(a,'# observations x',header=TRUE) a<-table.element(a,n) a<-table.row.end(a) a<-table.row.start(a) a<-table.element(a,'maximum correlation',header=TRUE) a<-table.element(a,mx) a<-table.row.end(a) a<-table.row.start(a) a<-table.element(a,'optimal lambda(x)',header=TRUE) a<-table.element(a,mxli) a<-table.row.end(a) a<-table.row.start(a) a<-table.element(a,'Residual SD (orginial)',header=TRUE) a<-table.element(a,se) a<-table.row.end(a) a<-table.row.start(a) a<-table.element(a,'Residual SD (transformed)',header=TRUE) a<-table.element(a,se1) a<-table.row.end(a) a<-table.end(a) table.save(a,file='mytable.tab')
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