R version 3.3.2 (2016-10-31) -- "Sincere Pumpkin Patch"
Copyright (C) 2016 The R Foundation for Statistical Computing
Platform: x86_64-pc-linux-gnu (64-bit)

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> x <- c(93.09,93.02,93.23,92.7,92.68,93.11,93.02,93.29,93.2,92.86,93.04,92.8,93.11,93.42,94.01,94.47,94.07,94.33,94.43,95.37,95.83,95.46,96,95.35,96.85,97.84,98.38,98.9,99.51,99.95,99.93,101.4,101.7,101.65,102.33,101.56,101.91,102.29,102.44,102.84,103.2,103.23,103.16,103.31,103.04,102.57,102.88,101.91,102.59,103.27,103.59,104.35,104.6,105.08,104.93,105.15,104.67,104.55,109.82,109.25)
> par8 = ''
> par7 = '0.95'
> par6 = 'White Noise'
> par5 = '12'
> par4 = '0'
> par3 = '1'
> par2 = '1'
> par1 = '48'
> par8 <- ''
> par7 <- '0.95'
> par6 <- 'White Noise'
> par5 <- '12'
> par4 <- '0'
> par3 <- '1'
> 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/101xv1489660200.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/2f6w51489660200.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/3d7ny1489660200.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 -0.169591168 -0.025950139  0.051513836 -0.129818138
 [6]  0.098418790 -0.010086126  0.121942006 -0.071800307  0.087020164
[11]  0.059836407 -0.227996685  0.172500254 -0.154309890 -0.042990378
[16] -0.012318218 -0.172352258 -0.007135530 -0.031664357  0.014453478
[21] -0.045125666 -0.015736628 -0.009317214 -0.211834116  0.146062549
[26] -0.106232862  0.032198440  0.163242988 -0.136874043  0.057123878
[31] -0.008425674  0.035537597  0.016894509  0.089354511  0.174168694
[36] -0.133943367  0.092534393 -0.096543184  0.066565549  0.099785292
[41] -0.037343316  0.030759653 -0.096382608  0.047600854  0.063955078
[46] -0.001815779  0.019269361 -0.063746902  0.003593443
> (mypacf <- c(rpacf$acf))
 [1] -0.169591168 -0.056331462  0.038538892 -0.119422868  0.062009418
 [6]  0.005739076  0.143953413 -0.052397107  0.105750494  0.071921077
[11] -0.177508138  0.083656503 -0.128789860 -0.079536874 -0.111039813
[16] -0.180720546 -0.127599743 -0.038617397 -0.059276849 -0.003492417
[21] -0.002058708 -0.013348810 -0.129140507  0.061822815 -0.070555520
[26]  0.029442943  0.096532793 -0.069752986 -0.010086161 -0.018833009
[31] -0.008468864 -0.011106207  0.069466860  0.137668866 -0.001867414
[36] -0.036881910 -0.091269678  0.064607120 -0.034961009  0.013922643
[41] -0.043180066 -0.089279593 -0.001544375  0.102984420  0.059217373
[46]  0.015537470  0.070722812 -0.018289942
> 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/482fu1489660200.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/59evn1489660200.tab") 
> 
> try(system("convert tmp/101xv1489660200.ps tmp/101xv1489660200.png",intern=TRUE))
character(0)
> try(system("convert tmp/2f6w51489660200.ps tmp/2f6w51489660200.png",intern=TRUE))
character(0)
> try(system("convert tmp/3d7ny1489660200.ps tmp/3d7ny1489660200.png",intern=TRUE))
character(0)
> 
> 
> proc.time()
   user  system elapsed 
  1.492   0.115   1.830