R version 3.0.2 (2013-09-25) -- "Frisbee Sailing"
Copyright (C) 2013 The R Foundation for Statistical Computing
Platform: x86_64-pc-linux-gnu (64-bit)

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> x <- c(65,96,66,55,36,63,49,59,89,33,65,62,63,69,84,46,54,83,34,87,55,47,77,38,73,64,75,81,133,107,43,50,27,34,52,29,48,37,64,48,38,39,52,66,67,58,40,31,101,82,72,46,45,62,64,29,57,71,46,71,56,75,78,76,53,43,52,93,52,67,58,52)
> par8 = ''
> par7 = '0.95'
> par6 = 'White Noise'
> par5 = '12'
> par4 = '0'
> par3 = '0'
> par2 = '1'
> par1 = '48'
> par8 <- ''
> par7 <- '0.95'
> par6 <- 'White Noise'
> par5 <- '12'
> par4 <- '0'
> par3 <- '0'
> 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/1mo811425556437.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/2p6191425556437.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/3c75o1425556437.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  0.177033276  0.060511197 -0.014130510 -0.143295829
 [6]  0.066590233 -0.019418261 -0.116995695 -0.178936405  0.042974887
[11] -0.050819394 -0.033723970 -0.012908927 -0.154740589  0.142568078
[16]  0.004773704 -0.042975849 -0.049151149 -0.096785186  0.047135393
[21]  0.071150233  0.109263816 -0.091567708 -0.038182893 -0.046599205
[26] -0.064123964  0.008211271 -0.090272965  0.036551228  0.006440987
[31] -0.082259033  0.029074446 -0.030336460  0.019201668  0.037925869
[36]  0.067306433 -0.045432492  0.009939200 -0.001157087 -0.061376606
[41]  0.042292379 -0.022178134  0.021127899  0.033758625 -0.088117626
[46] -0.028419855 -0.042554216  0.032449442  0.076818224
> (mypacf <- c(rpacf$acf))
 [1]  1.770333e-01  3.011422e-02 -3.084544e-02 -1.422528e-01  1.233347e-01
 [6] -4.074776e-02 -1.291285e-01 -1.655870e-01  1.619982e-01 -9.533267e-02
[11] -7.008513e-02 -2.301114e-02 -8.122362e-02  1.469785e-01 -9.287363e-02
[16] -6.855754e-02 -4.573475e-02 -3.401748e-02  2.918763e-02  2.184133e-02
[21]  6.988234e-02 -9.719135e-02 -5.928561e-02 -3.362525e-02 -4.598171e-02
[26] -5.368094e-02 -1.892849e-02  4.488281e-02 -2.713176e-02 -1.653170e-01
[31]  6.665105e-02  1.444884e-03 -3.805149e-02 -2.624922e-02  3.723904e-02
[36] -4.541944e-02 -1.389374e-02 -3.724451e-02 -1.272477e-02 -3.237630e-02
[41] -1.262867e-02  3.108707e-06  2.856117e-03 -9.372401e-02 -2.672276e-02
[46] -2.699723e-02  3.383818e-02  2.409015e-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/4usad1425556437.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/5tdla1425556437.tab") 
> 
> try(system("convert tmp/1mo811425556437.ps tmp/1mo811425556437.png",intern=TRUE))
character(0)
> try(system("convert tmp/2p6191425556437.ps tmp/2p6191425556437.png",intern=TRUE))
character(0)
> try(system("convert tmp/3c75o1425556437.ps tmp/3c75o1425556437.png",intern=TRUE))
character(0)
> 
> 
> proc.time()
   user  system elapsed 
  1.162   0.215   1.390