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Data X:
115.9 112.9 126.3 116.8 112.0 129.7 113.6 115.7 119.5 125.8 129.6 128.0 112.8 101.6 123.9 118.8 109.1 130.6 112.4 111.0 116.2 119.8 117.2 127.3 107.7 97.5 120.1 110.6 111.3 119.8 105.5 108.7 128.7 119.5 121.1 128.4 108.8 107.5 125.6 102.9 107.5 120.4 104.3 100.6 121.9 112.7 124.9 123.9 102.2 104.9 109.8 98.9 107.3 112.6 104.0 110.6 100.8 103.8 117.0 108.4
Data Y:
1.5 1.1 1.4 1.3 1.3 1.8 1.8 1.8 1.7 1.6 1.5 1.2 1.2 1.6 1.6 1.9 2.2 2.0 1.7 2.4 2.6 2.9 2.6 2.5 3.2 3.1 3.1 2.9 2.5 2.8 3.1 2.6 2.3 2.3 2.6 2.9 2.0 2.2 2.4 2.3 2.6 1.9 1.1 1.3 1.6 1.7 1.9 1.6 1.8 1.8 1.5 1.6 1.0 1.5 1.8 1.7 1.2 1.4 1.1 1.3
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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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Big Analytics Cloud Computing Center
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