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Data X:
2.2 1.4 3.4 2 2.4 2.4 2.2 2.2 2.4 2.6 2.8 3.2 2.2 2 2.2 3 1.8 2.2 3.4 3.4 2.2 3.6 2.8 2 2.2 3 3 2.6 3.2 2.6 1.8 3.6 3.6 2.4 3.4 1.8 1.8 2.4 3.6 2.4 3.6 2.8 3 3.2 2 2.2 2.8 1.8 2.4 3.4 1 2.4 2.4 1.2 4.8 2.4 2.4 2.8 1.4 2.6 2.4 2.6 2.8 1.6 2.2 1.8 2.2 2.6 2 2.2 2.4 1.8 3 3.6 3 2.4 2.6 2.8 2 2.6 2.6 2.2 2.6 3.2 1.6 3.2 2.2 1.8 3.2 2.4 2.8 1.6 1.8 3 2.2 4.2 2.8 3.6 2.4 2.6 3 2.4 3.8 3 2.2 2.2 2 2.6 3 2.4 2.4 3.2 1.8 3.6 1.6 2.6 3.4 1.8 3 1.6 1.4 2.4 2.8 1.2 1.6 3.4 2 2.2 2.8 2.2 2.6 2.4 2.2 1.8 2.4 4 2.4 2.6 2.4 2.4 1.8 3 4.8 1.4 3.4 2.2 3.4 2.2 2.4 2.8 2.2 3.2 4.2 2.8 4 2.6 2.2 3 3.8
Data Y:
3.43 3.57 4.29 2.71 3.14 3.14 3.57 3.29 2.43 3.00 2.71 2.71 2.14 2.29 3.29 3.86 3.14 2.00 3.14 3.29 3.29 3.00 2.71 2.57 2.86 3.29 3.57 2.71 3.43 3.14 3.57 3.71 4.14 4.57 3.57 4.14 4.00 2.43 4.00 4.14 3.71 3.57 2.00 3.57 3.71 2.86 2.57 4.57 3.57 3.57 3.29 3.00 2.86 2.14 4.29 3.43 3.71 3.43 3.14 2.00 3.43 3.43 3.43 3.43 2.71 4.43 3.14 3.86 2.71 3.57 2.86 3.00 3.86 3.29 3.57 2.86 3.00 3.14 3.29 3.57 3.57 2.43 2.71 3.57 2.71 2.86 3.71 3.29 3.86 2.43 2.43 2.71 2.43 3.14 3.00 4.57 3.00 3.00 2.57 2.57 3.29 2.71 2.86 3.00 2.86 2.43 2.57 2.71 3.14 2.14 2.00 2.57 3.43 5.00 4.14 3.00 3.57 2.86 3.14 1.86 3.71 2.43 3.57 2.86 2.71 3.00 3.14 3.43 3.00 3.71 3.43 2.29 3.29 2.57 2.29 3.71 2.71 3.00 3.00 3.14 3.29 4.14 3.00 3.00 3.29 3.86 3.57 3.00 1.43 2.86 3.71 3.43 4.14 2.71 3.43 2.71 3.43 3.14 2.43
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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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