R version 2.7.0 (2008-04-22)
Copyright (C) 2008 The R Foundation for Statistical Computing
ISBN 3-900051-07-0

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> z <- c(0.9922,0.9778,0.9808,0.9811,1.0014,1.0183,1.0622,1.0773,1.0807,1.0848,1.1582,1.1663,1.1372,1.1139,1.1222,1.1692,1.1702,1.2286,1.2613,1.2646,1.2262,1.1985,1.2007,1.2138,1.2266,1.2176,1.2218,1.249,1.2991,1.3408,1.3119,1.3014,1.3201,1.2938,1.2694,1.2165,1.2037,1.2292,1.2256,1.2015,1.1786,1.1856,1.2103,1.1938,1.202,1.2271,1.277,1.265,1.2684,1.2811,1.2727,1.2611,1.2881,1.3213,1.2999,1.3074,1.3242,1.3516,1.3511,1.3419,1.3716,1.3622,1.3896,1.4227,1.4684,1.457,1.4718,1.4748,1.5527,1.575,1.5557,1.5553,1.577)
> y <- c(-1.3,-1.4,-1.3,-1,-0.8,-0.7,-0.6,-0.8,-0.9,-1,-1.2,-1.3,-1.3,-1.4,-1.4,-1.8,-1.9,-2,-2.4,-2.5,-2.5,-2.3,-1.7,-1.1,-0.7,-0.2,0.3,1.1,1.6,2.2,3,3.8,4.6,5.1,5.3,5.5,5.7,5.9,6.1,6.1,6.3,6.5,6.7,6.6,6.5,6.4,6.3,6.3,6.3,6.2,6,5.6,5.3,5.1,4.5,4,3.5,3.5,3.3,3.1,2.9,2.5,2.6,2.8,2.8,2.9,3.1,3.3,3.5,3.4,3.5,3.7,3.8)
> x <- c(11178.4,9516.4,12102.8,12989.0,11610.2,10205.5,11356.2,11307.1,12648.6,11947.2,11714.1,12192.5,11268.8,9097.4,12639.8,13040.1,11687.3,11191.7,11391.9,11793.1,13933.2,12778.1,11810.3,13698.4,11956.6,10723.8,13938.9,13979.8,13807.4,12973.9,12509.8,12934.1,14908.3,13772.1,13012.6,14049.9,11816.5,11593.2,14466.2,13615.9,14733.9,13880.7,13527.5,13584.0,16170.2,13260.6,14741.9,15486.5,13154.5,12621.2,15031.6,15452.4,15428,13105.9,14716.8,14180.0,16202.2,14392.4,15140.6,15960.1,14351.3,13230.2,15202.1,17157.3,16159.1,13405.7,17224.7,17338.4,17370.6,18817.8,16593.2,17979.5,17015.2)
> #'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] 0.5351822
> (rho23 <- cor(y, z))
[1] 0.4331054
> (rho13 <- cor(x, z))
[1] 0.782443
> (rhoxy_z <- (rho12-(rho13*rho23))/(sqrt(1-(rho13*rho13)) * sqrt(1-(rho23*rho23))))
[1] 0.3497357
> (rhoxz_y <- (rho13-(rho12*rho23))/(sqrt(1-(rho12*rho12)) * sqrt(1-(rho23*rho23))))
[1] 0.7232129
> (rhoyz_x <- (rho23-(rho12*rho13))/(sqrt(1-(rho12*rho12)) * sqrt(1-(rho13*rho13))))
[1] 0.02729058
> 
> #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/1m7gj1226436986.tab") 
> 
> 
> 
> proc.time()
   user  system elapsed 
  0.825   0.025   0.844