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Data X:
110.40 96.40 101.90 106.20 81.00 94.70 101.00 109.40 102.30 90.70 96.20 96.10 106.00 103.10 102.00 104.70 86.00 92.10 106.90 112.60 101.70 92.00 97.40 97.00 105.40 102.70 98.10 104.50 87.40 89.90 109.80 111.70 98.60 96.90 95.10 97.00 112.70 102.90 97.40 111.40 87.40 96.80 114.10 110.30 103.90 101.60 94.60 95.90 104.70 102.80 98.10 113.90 80.90 95.70 113.20 105.90 108.80 102.30 99.00 100.70 115.50
Data Y:
109.20 88.60 94.30 98.30 86.40 80.60 104.10 108.20 93.40 71.90 94.10 94.90 96.40 91.10 84.40 86.40 88.00 75.10 109.70 103.00 82.10 68.00 96.40 94.30 90.00 88.00 76.10 82.50 81.40 66.50 97.20 94.10 80.70 70.50 87.80 89.50 99.60 84.20 75.10 92.00 80.80 73.10 99.80 90.00 83.10 72.40 78.80 87.30 91.00 80.10 73.60 86.40 74.50 71.20 92.40 81.50 85.30 69.90 84.20 90.70 100.30
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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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