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Data X:
6.75 8.5 8 7.9 8 10 7.75 6.75 8 9 7.5 7.75 10.5 10 7.5 7 7.5 8.5 7.5 8 8.5 7 8 7 7.15 8.4 8 7.75 8 10 7 7 8 7.75 8 7.15 9.75 8.75 9 9 9 7.5 9 7.75 7.5 8 8 9.5 9 7.5 7.75 7.75 7.75 9 7.5 8 8 8 8 8.5 7.5 7 8 8 7 7.5 9 7 8 8 8 7.5 10 9 7.5 7 8.5 7 7.5 7.5 10 8 7.5 9.5 8.5 8 8.5 8 8 8 9 8 7.5 9.5 7.75 7 7 8 8 9 9.5 7.5 7.5 7.5 7.5 9.5 10 7 7 7.5 7 7 7 9.5 7.5 7 7.5 7.25 7.5 7.5 9.5 7.5 7 7 7.25 8.15 7.15 9.5 7.5 6.7 7.15 7.5 7 10.25 9 8.4 9.25 6.3 6.4 6.75 7 8.5 7.5 7 7.5 7.25 7.75 7.5 8.5 8.5 7 7 7 7 7.6 9.5 8.5 5.25 8.25 7.75 9.5 9.5 8.75 7 7 7.5 7.5 9.5 7 9 8.25 7 8 7.5 7.5 7.1 9.25 10.25 7 7.45 7 7.5 8 9 8.5 6.5 8 8 7.5 7.5 9.5 8 7 7.5 8 7.15 7.75 8 8 6 7.5 7.5 7.5 7 9.5 8 7 7 7.5 8.5 7.75 7.75 9.5 10.45 8.75 7.25 10.1 9.25 9.25 8.5 8.5 7 7 7
Data Y:
-4 -3 5 5 5 -1 -3 5 4 5 5 5 4 1 3 5 4 5 5 4 5 6 5 6 7.5 6 3 6 3 3 2 2.5 2 -4 4 3 3 3 3 4.5 5 5 5 -5.5 3 4.5 3 3 1 3 3 3.5 3.5 4 3 4 3.7 5 0 1 5 4 4 4 4 4 3.75 5 5 5 4 4 4 1 1 5 3 5 5 8 5 6 3 3 -2 3 2 2 -1 2 3 3 3.5 1 2 4 4 5 4 3.5 3 3 4.5 3.75 2 2 -3 0 3 4 5 4 4 4 4 3 3 4.5 2 4 3 -1.2 -1 2.5 2.7 -1.75 -1.75 0.5 1.75 -0.5 2.5 1.5 0 -1.25 -2.5 -2 1.5 -1 4 3 3 -1 1 1.5 3 2.75 1.75 1 -3 -4.75 -1 0 1 -2 -5.6 -3 -6 -3.5 1.8 -1 2 2.25 1.25 0 -4 -4.5 -8.5 -2 2 2 0.5 0 1.5 3 2.25 3 1 -0.5 2.5 3.75 1 2.7 3 2.5 3.25 5 4 3.5 3.5 3 6 4 5 4 3 1 3 6 4 4 2 3.5 4 3.5 3 3 3 3 3 2 3 3 3 3.2 3 3.75 3 3 3 2 5 5.5 6 3.75
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R Code
bitmap(file='test1.png') histx <- hist(x, plot=FALSE) histy <- hist(y, plot=FALSE) maxcounts <- max(c(histx$counts, histx$counts)) xrange <- c(min(x),max(x)) yrange <- c(min(y),max(y)) nf <- layout(matrix(c(2,0,1,3),2,2,byrow=TRUE), c(3,1), c(1,3), TRUE) par(mar=c(4,4,1,1)) plot(x, y, xlim=xrange, ylim=yrange, xlab=xlab, ylab=ylab) par(mar=c(0,4,1,1)) barplot(histx$counts, axes=FALSE, ylim=c(0, maxcounts), space=0) par(mar=c(4,0,1,1)) barplot(histy$counts, axes=FALSE, xlim=c(0, maxcounts), space=0, horiz=TRUE) dev.off() lx = length(x) makebiased = (lx-1)/lx varx = var(x)*makebiased vary = var(y)*makebiased corxy <- cor.test(x,y,method='pearson') cxy <- as.matrix(corxy$estimate)[1,1] load(file='createtable') a<-table.start() a<-table.row.start(a) a<-table.element(a,'Pearson Product Moment Correlation - Ungrouped Data',3,TRUE) a<-table.row.end(a) a<-table.row.start(a) a<-table.element(a,'Statistic',1,TRUE) a<-table.element(a,'Variable X',1,TRUE) a<-table.element(a,'Variable Y',1,TRUE) a<-table.row.end(a) a<-table.row.start(a) a<-table.element(a,hyperlink('http://www.xycoon.com/arithmetic_mean.htm','Mean',''),header=TRUE) a<-table.element(a,mean(x)) a<-table.element(a,mean(y)) a<-table.row.end(a) a<-table.row.start(a) a<-table.element(a,hyperlink('http://www.xycoon.com/biased.htm','Biased Variance',''),header=TRUE) a<-table.element(a,varx) a<-table.element(a,vary) a<-table.row.end(a) a<-table.row.start(a) a<-table.element(a,hyperlink('http://www.xycoon.com/biased1.htm','Biased Standard Deviation',''),header=TRUE) a<-table.element(a,sqrt(varx)) a<-table.element(a,sqrt(vary)) a<-table.row.end(a) a<-table.row.start(a) a<-table.element(a,hyperlink('http://www.xycoon.com/covariance.htm','Covariance',''),header=TRUE) a<-table.element(a,cov(x,y),2) a<-table.row.end(a) a<-table.row.start(a) a<-table.element(a,hyperlink('http://www.xycoon.com/pearson_correlation.htm','Correlation',''),header=TRUE) a<-table.element(a,cxy,2) a<-table.row.end(a) a<-table.row.start(a) a<-table.element(a,hyperlink('http://www.xycoon.com/coeff_of_determination.htm','Determination',''),header=TRUE) a<-table.element(a,cxy*cxy,2) a<-table.row.end(a) a<-table.row.start(a) a<-table.element(a,hyperlink('http://www.xycoon.com/ttest_statistic.htm','T-Test',''),header=TRUE) a<-table.element(a,as.matrix(corxy$statistic)[1,1],2) a<-table.row.end(a) a<-table.row.start(a) a<-table.element(a,'p-value (2 sided)',header=TRUE) a<-table.element(a,(p2 <- as.matrix(corxy$p.value)[1,1]),2) a<-table.row.end(a) a<-table.row.start(a) a<-table.element(a,'p-value (1 sided)',header=TRUE) a<-table.element(a,p2/2,2) a<-table.row.end(a) a<-table.row.start(a) a<-table.element(a,'Degrees of Freedom',header=TRUE) a<-table.element(a,lx-2,2) a<-table.row.end(a) a<-table.row.start(a) a<-table.element(a,'Number of Observations',header=TRUE) a<-table.element(a,lx,2) a<-table.row.end(a) a<-table.end(a) table.save(a,file='mytable.tab')
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