R version 2.9.0 (2009-04-17)
Copyright (C) 2009 The R Foundation for Statistical Computing
ISBN 3-900051-07-0

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> z <- c(111632,106707,108827,108413,106249,104861,102382,100320,100228,117089,121523,114948,112831,107605,108928,101993,102850,99925,101536,99450,98305,110159,109483,106810,96279,91982,90276,90999,86622,83117,80367,77550,77443,92844,92175,84822,81632,78872,81485,80651,78192,76844,76335,71415,73899,86822,86371,83469,82662,82880,89406,95378,97657,100247,99180,97493,101628,114585,115669,111311)
> y <- c(282965,276610,277838,277051,277026,274960,270073,267063,264916,287182,291109,292223,288109,281400,282579,280113,280331,276759,275139,274275,271234,289725,290649,292223,278429,269749,265784,268957,264099,255121,253276,245980,235295,258479,260916,254586,250566,243345,247028,248464,244962,237003,237008,225477,226762,247857,248256,246892,245021,246186,255688,264242,268270,272969,273886,267353,271916,292633,295804,293222)
> x <- c(581000,597000,587000,536000,524000,537000,536000,533000,528000,516000,502000,506000,518000,534000,528000,478000,469000,490000,493000,508000,517000,514000,510000,527000,542000,565000,555000,499000,511000,526000,532000,549000,561000,557000,566000,588000,620000,626000,620000,573000,573000,574000,580000,590000,593000,597000,595000,612000,628000,629000,621000,569000,567000,573000,584000,589000,591000,595000,594000,611000)
> #'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] -0.4988508
> (rho23 <- cor(y, z))
[1] 0.9561088
> (rho13 <- cor(x, z))
[1] -0.432567
> (rhoxy_z <- (rho12-(rho13*rho23))/(sqrt(1-(rho13*rho13)) * sqrt(1-(rho23*rho23))))
[1] -0.3227711
> (rhoxz_y <- (rho13-(rho12*rho23))/(sqrt(1-(rho12*rho12)) * sqrt(1-(rho23*rho23))))
[1] 0.1747929
> (rhoyz_x <- (rho23-(rho12*rho13))/(sqrt(1-(rho12*rho12)) * sqrt(1-(rho13*rho13))))
[1] 0.947422
> 
> #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/1arku1257811434.tab") 
> 
> 
> proc.time()
   user  system elapsed 
  0.198   0.029   0.235