R version 3.2.4 (2016-03-10) -- "Very Secure Dishes"
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Platform: x86_64-pc-linux-gnu (64-bit)

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> x <- c(89.8,89.2,89.9,88.9,84,86.3,89.3,90.6,88.3,91.6,95.4,96.8,92.5,93.6,93.8,92.7,88.3,90.4,91.2,91.5,88.9,88.6,89.1,89.4,86.7,89.8,90.9,91.4,90.2,92.2,94,95.8,95.1,96.2,96.8,97.1,96.5,97.2,97.8,99.9,101.2,103.3,104.5,100.8,95,93.4,93.1,94.9,96.9,100.9,100.2,101.8,105.4,106.4,105.6,107.5,109.5,108.6,109.2,110.3,110.3,107.9,107.7,108.1,108,105.9,105.9,104.7)
> 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. 1.2.327 (Mon, 30 Nov 2015 06:58:35 +0000)
> #Author: root
> #To cite this work: Wessa P., (2015), (Partial) Autocorrelation Function (v1.0.12) 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)
> x <- na.omit(x)
> 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/150mb1458078157.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/2kdmp1458078157.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/3aov11458078157.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  0.94464044  0.87221038  0.81447108  0.75555036  0.66080198
 [7]  0.59224958  0.54896763  0.50728085  0.43800432  0.38973231  0.35956311
[13]  0.33272870  0.28710350  0.26055933  0.24474255  0.23591728  0.21135822
[19]  0.19349422  0.18064052  0.17964213  0.16090730  0.14393339  0.12248448
[25]  0.09205767  0.03127304 -0.02718378 -0.07618517 -0.11648496 -0.16138861
[31] -0.20043739 -0.23919574 -0.27484275 -0.31569617 -0.34809327 -0.37114286
[37] -0.38160083 -0.38547356 -0.37556847 -0.35839822 -0.33350954 -0.31010726
[43] -0.28906792 -0.27453657 -0.26268470 -0.26193454 -0.26724790 -0.28115715
[49] -0.29186467
> (mypacf <- c(rpacf$acf))
 [1]  0.944640437 -0.187035281  0.126326861 -0.094156640 -0.351404560
 [6]  0.348734656 -0.015657948 -0.010563212 -0.179777905  0.086381611
[11]  0.044152002  0.057760828 -0.077075636  0.020007121 -0.011155893
[16]  0.129442607 -0.072409188 -0.076589550  0.028880043  0.110915099
[21] -0.088316028 -0.015109842 -0.155216823 -0.178950689 -0.083374397
[26]  0.016399564  0.036322032 -0.035409941  0.056109115 -0.185172260
[31] -0.081685454 -0.005646999 -0.002342232 -0.009010582  0.044188081
[36] -0.014629376  0.064538573  0.058303196  0.023349899 -0.009656316
[41]  0.025931754 -0.028491849 -0.068230386 -0.070689540 -0.075671991
[46]  0.001515165 -0.036870452  0.129726799
> 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/4cibm1458078157.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/5ckg41458078157.tab") 
> 
> try(system("convert tmp/150mb1458078157.ps tmp/150mb1458078157.png",intern=TRUE))
character(0)
> try(system("convert tmp/2kdmp1458078157.ps tmp/2kdmp1458078157.png",intern=TRUE))
character(0)
> try(system("convert tmp/3aov11458078157.ps tmp/3aov11458078157.png",intern=TRUE))
character(0)
> 
> 
> proc.time()
   user  system elapsed 
  1.178   0.235   1.419