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(79.1,71.7,100,82.1,74.8,92.3,83.3,83.7,148,71.4,71.2,84.6,80.9,80.6,105.5,79.2,78.4,92.6,88.3,98.2,157.4,73.9,80.9,93,84.9,96.2,106.5,81.7,82.9,96,92.6,116.5,155,95.1,86.2,105,89.7,97.1,120.8,92.2,98.8,104.1,106.5,113.4,192.4,103.6,97.6,99.9,106.4,104.8,114.1,93,90.2,108.8,108.7,125.2,180.4,91.6,87.1,98.3)
> y <- c(108.01,101.21,119.93,94.76,95.26,117.96,115.86,111.44,108.16,108.77,109.45,124.83,115.31,109.49,124.24,92.85,98.42,120.88,111.72,116.1,109.37,111.65,114.29,133.68,114.27,126.49,131,104,108.88,128.48,132.44,128.04,116.35,120.93,118.59,133.1,121.05,127.62,135.44,114.88,114.34,128.85,138.9,129.44,114.96,127.98,127.03,128.75,137.91,128.37,135.9,122.19,113.08,136.2,138,115.24,110.95,99.23,102.39,112.67)
> x <- c(102.9,97.4,111.4,87.4,96.8,114.1,110.3,103.9,101.6,94.6,95.9,104.7,102.8,98.1,113.9,80.9,95.7,113.2,105.9,108.8,102.3,99,100.7,115.5,100.7,109.9,114.6,85.4,100.5,114.8,116.5,112.9,102,106,105.3,118.8,106.1,109.3,117.2,92.5,104.2,112.5,122.4,113.3,100,110.7,112.8,109.8,117.3,109.1,115.9,96,99.8,116.8,115.7,99.4,94.3,91,93.2,103.1)
> #'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] 0.8901026
> (rho23 <- cor(y, z))
[1] 0.2384439
> (rho13 <- cor(x, z))
[1] 0.1758605
> (rhoxy_z <- (rho12-(rho13*rho23))/(sqrt(1-(rho13*rho13)) * sqrt(1-(rho23*rho23))))
[1] 0.8871874
> (rhoxz_y <- (rho13-(rho12*rho23))/(sqrt(1-(rho12*rho12)) * sqrt(1-(rho23*rho23))))
[1] -0.08219134
> (rhoyz_x <- (rho23-(rho12*rho13))/(sqrt(1-(rho12*rho12)) * sqrt(1-(rho13*rho13))))
[1] 0.1825671
> 
> #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/17d631257955336.tab") 
> 
> 
> 
> proc.time()
   user  system elapsed 
  0.285   0.020   0.307