R version 2.7.2 (2008-08-25)
Copyright (C) 2008 The R Foundation for Statistical Computing
ISBN 3-900051-07-0

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> z <- c(21.1,21.0,20.4,19.5,18.6,18.8,23.7,24.8,25.0,23.6,22.3,21.8,20.8,19.7,18.3,17.4,17.0,18.1,23.9,25.6,25.3,23.6,21.9,21.4,20.6,20.5,20.2,20.6,19.7,19.3,22.8,23.5,23.8,22.6,22.0,21.7,20.7,20.2,19.1,19.5,18.7,18.6,22.2,23.2,23.5,21.3,20.0,18.7,18.9,18.3,18.4,19.9,19.2,18.5,20.9,20.5,19.4,18.1,17.0,17.0,17.3,16.7,15.5,15.3,13.7,14.1,17.3,18.1)
> y <- c(9.0,9.1,8.7,8.2,7.9,7.9,9.1,9.4,9.5,9.1,9.0,9.3,9.9,9.8,9.4,8.3,8.0,8.5,10.4,11.1,10.9,9.9,9.2,9.2,9.5,9.6,9.5,9.1,8.9,9.0,10.1,10.3,10.2,9.6,9.2,9.3,9.4,9.4,9.2,9.0,9.0,9.0,9.8,10.0,9.9,9.3,9.0,9.0,9.1,9.1,9.1,9.2,8.8,8.3,8.4,8.1,7.8,7.9,7.9,8.0,7.9,7.5,7.2,6.9,6.6,6.7,7.3,7.5)
> x <- c(7.8,7.6,7.5,7.6,7.5,7.3,7.6,7.5,7.6,7.9,7.9,8.1,8.2,8.0,7.5,6.8,6.5,6.6,7.6,8.0,8.0,7.7,7.5,7.6,7.7,7.9,7.8,7.5,7.5,7.1,7.5,7.5,7.6,7.7,7.7,7.9,8.1,8.2,8.2,8.1,7.9,7.3,6.9,6.6,6.7,6.9,7.0,7.1,7.2,7.1,6.9,7.0,6.8,6.4,6.7,6.7,6.4,6.3,6.2,6.5,6.8,6.8,6.5,6.3,5.9,5.9,6.4,6.4)
> (rho12 <- cor(x, y))
[1] 0.7066843
> (rho23 <- cor(y, z))
[1] 0.8451425
> (rho13 <- cor(x, z))
[1] 0.6174996
> (rhoxy_z <- (rho12-(rho13*rho23))/(sqrt(1-(rho13*rho13)) * sqrt(1-(rho23*rho23))))
[1] 0.439546
> (rhoxz_y <- (rho13-(rho12*rho23))/(sqrt(1-(rho12*rho12)) * sqrt(1-(rho23*rho23))))
[1] 0.05354445
> (rhoyz_x <- (rho23-(rho12*rho13))/(sqrt(1-(rho12*rho12)) * sqrt(1-(rho13*rho13))))
[1] 0.7344997
> 
> #Note: the /var/www/html/rcomp/createtable file can be downloaded at http://www.wessa.net/cretab
> load(file="/var/www/html/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/rcomp/tmp/1o8f71226427052.tab") 
> 
> 
> 
> proc.time()
   user  system elapsed 
  0.439   0.029   0.462