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(7.4545,7.4583,7.4595,7.4599,7.4586,7.4609,7.4603,7.4561,7.454,7.4505,7.4599,7.4543,7.4534,7.4506,7.4429,7.441,7.4452,7.4519,7.453,7.4494,7.4541,7.4539,7.4549,7.4564,7.4555,7.4601,7.4609,7.4602,7.4566,7.4565,7.4618,7.4612,7.4641,7.4613,7.4541,7.4596,7.462,7.4584,7.4596,7.4584,7.4448,7.4443,7.4499,7.4466,7.4427,7.4405,7.4338,7.4313,7.4379,7.4381,7.4365,7.4355,7.4342,7.4405,7.4436,7.4493,7.4511,7.4481,7.4419,7.437,7.4301,7.4273,7.4322,7.4332,7.425,7.4246,7.4255,7.4274,7.4317,7.4324,7.4264,7.428,7.4297,7.4271)
> y <- c(133.52,153.2,163.63,168.45,166.26,162.31,161.56,156.59,157.97,158.68,163.55,162.89,164.95,159.82,159.05,166.76,164.55,163.22,160.68,155.24,157.6,156.56,154.82,151.11,149.65,148.99,148.53,146.7,145.11,142.7,143.59,140.96,140.77,139.81,140.58,139.59,138.05,136.06,135.98,134.75,132.22,135.37,138.84,138.83,136.55,135.63,139.14,136.09,135.97,134.51,134.54,134.08,132.86,134.48,129.08,133.13,134.78,134.13,132.43,127.84,128.12,128.94,132.38,134.99,138.05,135.83,130.12,128.16,128.6,126.12,124.2,121.65,121.57,118.38)
> x <- c(1.3322,1.4369,1.4975,1.577,1.5553,1.5557,1.575,1.5527,1.4748,1.4718,1.457,1.4684,1.4227,1.3896,1.3622,1.3716,1.3419,1.3511,1.3516,1.3242,1.3074,1.2999,1.3213,1.2881,1.2611,1.2727,1.2811,1.2684,1.265,1.277,1.2271,1.202,1.1938,1.2103,1.1856,1.1786,1.2015,1.2256,1.2292,1.2037,1.2165,1.2694,1.2938,1.3201,1.3014,1.3119,1.3408,1.2991,1.249,1.2218,1.2176,1.2266,1.2138,1.2007,1.1985,1.2262,1.2646,1.2613,1.2286,1.1702,1.1692,1.1222,1.1139,1.1372,1.1663,1.1582,1.0848,1.0807,1.0773,1.0622,1.0183,1.0014,0.9811,0.9808)
> #'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] 0.8658002
> (rho23 <- cor(y, z))
[1] 0.6165102
> (rho13 <- cor(x, z))
[1] 0.6116256
> (rhoxy_z <- (rho12-(rho13*rho23))/(sqrt(1-(rho13*rho13)) * sqrt(1-(rho23*rho23))))
[1] 0.7845897
> (rhoxz_y <- (rho13-(rho12*rho23))/(sqrt(1-(rho12*rho12)) * sqrt(1-(rho23*rho23))))
[1] 0.1976013
> (rhoyz_x <- (rho23-(rho12*rho13))/(sqrt(1-(rho12*rho12)) * sqrt(1-(rho13*rho13))))
[1] 0.2196729
> 
> #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/1fg7x1226563653.tab") 
> 
> 
> 
> proc.time()
   user  system elapsed 
  0.819   0.032   0.845