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(123.2,136.9,146.8,149.6,146.5,157,147.9,133.6,128.7,100.8,91.8,89.3,96.7,91.6,93.3,93.3,101,100.4,86.9,83.9,80.3,87.7,92.7,95.5,92,87.4,86.8,83.7,85,81.7,90.9,101.5,113.8,120.1,122.1,132.5,140,149.4,144.3,154.4,151.4,145.5,136.8,146.6,145.1,133.6,131.4,127.5,130.1,131.1,132.3,128.6,125.1,128.7,156.1,163.2,159.8,157.4,156.2,152.5,149.4,145.9,144.8,135.9,137.6,136,117.7,111.5,107.8,107.3,102.6,101)
> 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/142db1413649316.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/2u60u1413649316.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/3qukv1413649316.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]  1.00000000  0.94351615  0.85457529  0.75434006  0.64883475  0.53483497
 [7]  0.42628135  0.33546730  0.25208203  0.18778618  0.13306866  0.08133547
[13]  0.01840959 -0.01842169 -0.03255115 -0.03910012 -0.04832947 -0.05654909
[19] -0.06583592 -0.09978859 -0.14130003 -0.18880788 -0.23949031 -0.29148949
[25] -0.33833080 -0.37590036 -0.40356508 -0.41322065 -0.40999250 -0.39506182
[31] -0.37645781 -0.33947574 -0.30043375 -0.26978892 -0.24726815 -0.22259736
[37] -0.19773297 -0.16941346 -0.14311303 -0.13243716 -0.12434009 -0.11533450
[43] -0.11106839 -0.11928989 -0.12656793 -0.12119466 -0.09437980 -0.05884628
[49] -0.01342657
> (mypacf <- c(rpacf$acf))
 [1]  0.943516152 -0.324725185 -0.075454934 -0.076119745 -0.132759907
 [6]  0.021424528  0.076118486 -0.081743618  0.106638705 -0.068743001
[11] -0.090048671 -0.169726840  0.273711533  0.049413658 -0.023963448
[16] -0.089389704 -0.052391947 -0.103533488 -0.214693340 -0.000252740
[21]  0.001584043 -0.023893007 -0.008119615 -0.160812044 -0.032072717
[26]  0.065450977  0.086578235 -0.020450081  0.030492662 -0.008601262
[31]  0.028137114 -0.164635584 -0.107718934 -0.016692400  0.127404358
[36] -0.026952036  0.115297253 -0.122693851 -0.144318579  0.022953934
[41]  0.032090507 -0.106356694  0.052641474  0.060552170  0.000562023
[46]  0.041535320 -0.057700688  0.039565879
> 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/4l85d1413649316.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/59ixc1413649316.tab") 
> 
> try(system("convert tmp/142db1413649316.ps tmp/142db1413649316.png",intern=TRUE))
character(0)
> try(system("convert tmp/2u60u1413649316.ps tmp/2u60u1413649316.png",intern=TRUE))
character(0)
> try(system("convert tmp/3qukv1413649316.ps tmp/3qukv1413649316.png",intern=TRUE))
character(0)
> 
> 
> proc.time()
   user  system elapsed 
  1.292   0.182   1.484