R version 2.8.0 (2008-10-20)
Copyright (C) 2008 The R Foundation for Statistical Computing
ISBN 3-900051-07-0

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> z <- c(84,84.5,87.3,86.3,85,86.5,85.4,81.2,81.5,82.2,86.4,86.9,88.6,91.6,89.7,85.9,89.8,91.4,93.1,95.1,94.9,101.2,105.6,112.2,119.7,128.2,129.6,129.9,121.7,125.7,130.4,128.5,130,136.7,138.1,139.5,140.4,144.6,151.4,147.9,141.5,143.8,143.6,150.5,150.1,154.9,162.1,176.7,186.6,194.8,196.3,228.8,267.2,237.2,254.7,258.2,257.9,269.6,266.9,269.6)
> y <- c(89.3,90.3,91.1,90.1,86.7,85.1,83.4,82,80.4,81.9,93.8,94.8,92.3,87.5,83.2,82,80.3,81.8,85.1,84.2,84.4,84.5,93.3,93.2,100.3,111.4,114.9,109.5,109.9,105.8,110.8,108.8,116.1,109.8,113.8,113.8,117.4,119.5,122.6,120.7,119,126.1,133.9,138.1,140.4,148.2,148.2,155.9,171.1,171.9,188.8,214.9,228.5,220,225.4,220.7,219.7,232.1,223.5,218.9)
> x <- c(101.3,106.3,94,102.8,102,105.1,92.4,81.4,105.8,120.3,100.7,88.8,94.3,99.9,103.4,103.3,98.8,104.2,91.2,74.7,108.5,114.5,96.9,89.6,97.1,100.3,122.6,115.4,109,129.1,102.8,96.2,127.7,128.9,126.5,119.8,113.2,114.1,134.1,130,121.8,132.1,105.3,103,117.1,126.3,138.1,119.5,138,135.5,178.6,162.2,176.9,204.9,132.2,142.5,164.3,174.9,175.4,143)
> #'GNU S' R Code compiled by R2WASP v. 1.0.44 ()
> #Author: Prof. Dr. P. Wessa
> #To cite this work: AUTHOR(S), (YEAR), YOUR SOFTWARE TITLE (vNUMBER) in Free Statistics Software (v$_version), Office for Research Development and Education, URL http://www.wessa.net/rwasp_YOURPAGE.wasp/
> #Source of accompanying publication: Office for Research, Development, and Education
> #Technical description: Write here your technical program description (don't use hard returns!)
> (rho12 <- cor(x, y))
[1] 0.857481
> (rho23 <- cor(y, z))
[1] 0.9864194
> (rho13 <- cor(x, z))
[1] 0.8470202
> (rhoxy_z <- (rho12-(rho13*rho23))/(sqrt(1-(rho13*rho13)) * sqrt(1-(rho23*rho23))))
[1] 0.2515720
> (rhoxz_y <- (rho13-(rho12*rho23))/(sqrt(1-(rho12*rho12)) * sqrt(1-(rho23*rho23))))
[1] 0.0140129
> (rhoyz_x <- (rho23-(rho12*rho13))/(sqrt(1-(rho12*rho12)) * sqrt(1-(rho13*rho13))))
[1] 0.9510758
> 
> #Note: the /var/www/html/freestat/rcomp/createtable file can be downloaded at http://www.wessa.net/cretab
> load(file="/var/www/html/freestat/rcomp/createtable")
> 
> a<-table.start()
> a<-table.row.start(a)
> a<-table.element(a,'Pearson Product Moment Partial Correlation - Ungrouped Data',2,TRUE)
> a<-table.row.end(a)
> a<-table.row.start(a)
> a<-table.element(a,'Statistic',1,TRUE)
> a<-table.element(a,'Value',1,TRUE)
> a<-table.row.end(a)
> a<-table.row.start(a)
> a<-table.element(a,'Correlation r(xy)',header=TRUE)
> a<-table.element(a,rho12)
> a<-table.row.end(a)
> a<-table.row.start(a)
> a<-table.element(a,hyperlink('http://www.xycoon.com/partial_correlation1.htm','Partial Correlation r(xy.z)',''),header=TRUE)
> a<-table.element(a,rhoxy_z)
> a<-table.row.end(a)
> a<-table.row.start(a)
> a<-table.element(a,'Correlation r(xz)',header=TRUE)
> a<-table.element(a,rho13)
> a<-table.row.end(a)
> a<-table.row.start(a)
> a<-table.element(a,hyperlink('http://www.xycoon.com/partial_correlation1.htm','Partial Correlation r(xz.y)',''),header=TRUE)
> a<-table.element(a,rhoxz_y)
> a<-table.row.end(a)
> a<-table.row.start(a)
> a<-table.element(a,'Correlation r(yz)',header=TRUE)
> a<-table.element(a,rho23)
> a<-table.row.end(a)
> a<-table.row.start(a)
> a<-table.element(a,hyperlink('http://www.xycoon.com/partial_correlation1.htm','Partial Correlation r(yz.x)',''),header=TRUE)
> a<-table.element(a,rhoyz_x)
> a<-table.row.end(a)
> a<-table.end(a)
> table.save(a,file="/var/www/html/freestat/rcomp/tmp/1d1ic1256819852.tab") 
> 
> 
> 
> proc.time()
   user  system elapsed 
  0.269   0.017   0.281