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(149.77,149.68,149.59,147.61,145.53,144.8,144.63,144.28,144.02,143.96,143.82,143.46,143.26,142.99,142.65,142.56,142.54,142.45,142.44,142.41,142.38,142.11,140.58,136.52,135.73,135.71,135.68,135.63,135.56,135.29,134.44,131.6,130.03,129.74,128.25,123.96,123.72,123.7,123.7,123.7,123.58,123.58,123.09,120.59,120.26,120.26,120.25,120.24,120.22,120.1,120.03,119.73,118.5,118.02,117.96,117.95,117.71,116.72,115.16,114.92,114.86)
> y <- c(13812,13031,12574,11964,11451,11346,11353,10702,10646,10556,10463,10407,10625,10872,10805,10653,10574,10431,10383,10296,10872,10635,10297,10570,10662,10709,10413,10846,10371,9924,9828,9897,9721,10171,10738,10812,10511,10244,10368,10457,10186,10166,10827,10997,10940,10756,10893,10236,9960,10018,10063,10002,9728,10002,10177,9948,9394,9308,9155,9103,9732)
> x <- c(57.42,56.12,59.15,63.77,63.96,57.81,55.3,51.8,53.26,53.38,45.85,44.23,40.22,44.61,49.14,42.94,41.84,37.75,35.54,37.13,33.19,32.67,30.52,30.7,29.59,28.76,29.08,26.95,29.58,28.24,27.28,25.48,24.87,29.87,32.33,30.23,27.46,24.46,27.34,28.37,26.09,25.59,24.67,25.61,25.97,24.31,20.36,19.82,19.32,19.2,21.74,26.29,25.9,25.36,27.64,28.57,25.38,25.71,27.6,25.85,26.54)
> #'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] 0.6865966
> (rho23 <- cor(y, z))
[1] 0.6342428
> (rho13 <- cor(x, z))
[1] 0.824584
> (rhoxy_z <- (rho12-(rho13*rho23))/(sqrt(1-(rho13*rho13)) * sqrt(1-(rho23*rho23))))
[1] 0.3740579
> (rhoxz_y <- (rho13-(rho12*rho23))/(sqrt(1-(rho12*rho12)) * sqrt(1-(rho23*rho23))))
[1] 0.6922546
> (rhoyz_x <- (rho23-(rho12*rho13))/(sqrt(1-(rho12*rho12)) * sqrt(1-(rho13*rho13))))
[1] 0.1655333
> 
> #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/1dmqx1226412063.tab") 
> 
> 
> 
> proc.time()
   user  system elapsed 
  0.427   0.036   0.457