R version 3.0.2 (2013-09-25) -- "Frisbee Sailing"
Copyright (C) 2013 The R Foundation for Statistical Computing
Platform: i686-pc-linux-gnu (32-bit)

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> x <- c(6.715,7.703,9.856,8.326,9.269,7.035,10.342,11.682,10.304,11.385,9.777,8.882,7.897,6.930,9.545,9.110,7.459,7.320,10.017,12.307,11.072,10.749,9.589,9.080,7.384,8.062,8.511,8.684,8.306,7.643,10.577,13.747,11.783,11.611,9.946,8.693,7.303,7.609,9.423,8.584,7.586,6.843,11.811,13.414,12.103,11.501,8.213,7.982,7.687,7.180,7.862,8.043,8.340,6.692,10.065,12.684,11.587,9.843,8.110,7.940,6.475,6.121,9.669,7.778,7.826,7.403,10.741,14.023,11.519,10.236,8.075,8.157)
> par8 = ''
> par7 = '0.95'
> par6 = 'White Noise'
> par5 = '12'
> par4 = '0'
> par3 = '2'
> par2 = '1'
> par1 = '48'
> par8 <- ''
> par7 <- '0.95'
> par6 <- 'White Noise'
> par5 <- '12'
> par4 <- '0'
> par3 <- '2'
> par2 <- '1'
> par1 <- '48'
> #'GNU S' R Code compiled by R2WASP v. 1.2.291 ()
> #Author: root
> #To cite this work: Wessa P., (2012), (Partial) Autocorrelation Function (v1.0.11) in Free Statistics Software (v$_version), Office for Research Development and Education, URL http://www.wessa.net/rwasp_autocorrelation.wasp/
> #Source of accompanying publication: 
> #
> if (par1 == 'Default') {
+ par1 = 10*log10(length(x))
+ } else {
+ par1 <- as.numeric(par1)
+ }
> par2 <- as.numeric(par2)
> par3 <- as.numeric(par3)
> par4 <- as.numeric(par4)
> par5 <- as.numeric(par5)
> if (par6 == 'White Noise') par6 <- 'white' else par6 <- 'ma'
> par7 <- as.numeric(par7)
> if (par8 != '') par8 <- as.numeric(par8)
> ox <- x
> if (par8 == '') {
+ if (par2 == 0) {
+ x <- log(x)
+ } else {
+ x <- (x ^ par2 - 1) / par2
+ }
+ } else {
+ x <- log(x,base=par8)
+ }
> if (par3 > 0) x <- diff(x,lag=1,difference=par3)
> if (par4 > 0) x <- diff(x,lag=par5,difference=par4)
> postscript(file="/var/wessaorg/rcomp/tmp/1e7jv1384333852.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> op <- par(mfrow=c(2,1))
> plot(ox,type='l',main='Original Time Series',xlab='time',ylab='value')
> if (par8=='') {
+ mytitle <- paste('Working Time Series (lambda=',par2,', d=',par3,', D=',par4,')',sep='')
+ mysub <- paste('(lambda=',par2,', d=',par3,', D=',par4,', CI=', par7, ', CI type=',par6,')',sep='')
+ } else {
+ mytitle <- paste('Working Time Series (base=',par8,', d=',par3,', D=',par4,')',sep='')
+ mysub <- paste('(base=',par8,', d=',par3,', D=',par4,', CI=', par7, ', CI type=',par6,')',sep='')
+ }
> plot(x,type='l', main=mytitle,xlab='time',ylab='value')
> par(op)
> dev.off()
null device 
          1 
> postscript(file="/var/wessaorg/rcomp/tmp/2ly7e1384333853.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> racf <- acf(x, par1, main='Autocorrelation', xlab='time lag', ylab='ACF', ci.type=par6, ci=par7, sub=mysub)
> dev.off()
null device 
          1 
> postscript(file="/var/wessaorg/rcomp/tmp/3cymz1384333853.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> rpacf <- pacf(x,par1,main='Partial Autocorrelation',xlab='lags',ylab='PACF',sub=mysub)
> dev.off()
null device 
          1 
> (myacf <- c(racf$acf))
 [1]  1.000000000 -0.379594768 -0.102695433 -0.083519087 -0.056544624
 [6]  0.322245828 -0.355568640  0.214999185  0.027113231 -0.151792531
[11] -0.053994042 -0.130106418  0.509920944 -0.099945708 -0.136906439
[16] -0.090789168 -0.052559508  0.292130509 -0.293525137  0.176764074
[21] -0.028656081 -0.039104909 -0.080786606 -0.141414650  0.462376931
[26] -0.053652861 -0.186106870 -0.066437714 -0.022122298  0.248601082
[31] -0.234386799  0.148119645 -0.093321831  0.038127006 -0.055463806
[36] -0.118130813  0.353304783 -0.111569969 -0.044825098 -0.110861438
[41]  0.006424705  0.183668863 -0.156708773  0.069828832 -0.033952913
[46]  0.020760830 -0.030267381 -0.101344541  0.260724180
> (mypacf <- c(rpacf$acf))
 [1] -3.795948e-01 -2.883343e-01 -3.098972e-01 -3.773148e-01  5.730453e-02
 [6] -3.712604e-01 -6.914015e-02  5.053918e-02 -1.523580e-01 -3.832284e-01
[11] -5.509277e-01 -2.295733e-01 -1.094341e-01  5.164658e-02  6.363711e-02
[16] -3.530903e-02  1.316254e-01 -6.045175e-02  1.553318e-02 -6.830270e-02
[21]  1.374888e-01  5.031620e-02 -1.034642e-01 -1.053010e-02  1.049187e-01
[26] -5.555193e-02 -4.594868e-02 -3.987302e-02 -2.628777e-02 -9.670488e-02
[31]  1.462418e-01 -1.654668e-01  2.337093e-03  5.478309e-02  1.029210e-01
[36]  5.019028e-02  2.126534e-02 -7.690781e-02 -4.727927e-02  4.563709e-02
[41] -3.987662e-02 -2.907546e-02 -8.136011e-05 -3.012308e-02  1.311470e-02
[46] -1.074080e-02  6.457801e-02  3.205691e-02
> lengthx <- length(x)
> sqrtn <- sqrt(lengthx)
> 
> #Note: the /var/wessaorg/rcomp/createtable file can be downloaded at http://www.wessa.net/cretab
> load(file="/var/wessaorg/rcomp/createtable")
> 
> a<-table.start()
> a<-table.row.start(a)
> a<-table.element(a,'Autocorrelation Function',4,TRUE)
> a<-table.row.end(a)
> a<-table.row.start(a)
> a<-table.element(a,'Time lag k',header=TRUE)
> a<-table.element(a,hyperlink('http://www.xycoon.com/basics.htm','ACF(k)','click here for more information about the Autocorrelation Function'),header=TRUE)
> a<-table.element(a,'T-STAT',header=TRUE)
> a<-table.element(a,'P-value',header=TRUE)
> a<-table.row.end(a)
> for (i in 2:(par1+1)) {
+ a<-table.row.start(a)
+ a<-table.element(a,i-1,header=TRUE)
+ a<-table.element(a,round(myacf[i],6))
+ mytstat <- myacf[i]*sqrtn
+ a<-table.element(a,round(mytstat,4))
+ a<-table.element(a,round(1-pt(abs(mytstat),lengthx),6))
+ a<-table.row.end(a)
+ }
> a<-table.end(a)
> table.save(a,file="/var/wessaorg/rcomp/tmp/4628n1384333853.tab") 
> a<-table.start()
> a<-table.row.start(a)
> a<-table.element(a,'Partial Autocorrelation Function',4,TRUE)
> a<-table.row.end(a)
> a<-table.row.start(a)
> a<-table.element(a,'Time lag k',header=TRUE)
> a<-table.element(a,hyperlink('http://www.xycoon.com/basics.htm','PACF(k)','click here for more information about the Partial Autocorrelation Function'),header=TRUE)
> a<-table.element(a,'T-STAT',header=TRUE)
> a<-table.element(a,'P-value',header=TRUE)
> a<-table.row.end(a)
> for (i in 1:par1) {
+ a<-table.row.start(a)
+ a<-table.element(a,i,header=TRUE)
+ a<-table.element(a,round(mypacf[i],6))
+ mytstat <- mypacf[i]*sqrtn
+ a<-table.element(a,round(mytstat,4))
+ a<-table.element(a,round(1-pt(abs(mytstat),lengthx),6))
+ a<-table.row.end(a)
+ }
> a<-table.end(a)
> table.save(a,file="/var/wessaorg/rcomp/tmp/5tkd31384333853.tab") 
> 
> try(system("convert tmp/1e7jv1384333852.ps tmp/1e7jv1384333852.png",intern=TRUE))
character(0)
> try(system("convert tmp/2ly7e1384333853.ps tmp/2ly7e1384333853.png",intern=TRUE))
character(0)
> try(system("convert tmp/3cymz1384333853.ps tmp/3cymz1384333853.png",intern=TRUE))
character(0)
> 
> 
> proc.time()
   user  system elapsed 
  1.924   0.389   2.291