R version 3.3.2 (2016-10-31) -- "Sincere Pumpkin Patch"
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Platform: x86_64-pc-linux-gnu (64-bit)

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> x <- c(88.05,93.25,92.96,93.08,90.67,92.17,94.28,95.01,93.27,95.59,97.4,97.05,97.38,96.23,96.65,96.46,97.87,98.59,99.54,97.39,97.09,97.83,97.58,96.81,97.52,98.19,96.18,97.41,99.23,96.93,98.82,102.47,95.95,101.17,100.55,99.5,99.89,100.43,100.63,99.36,100,99.55,100.12,101.31,96.59,98.79,100.93,102.4,106.99,105.27,107.27,109.21,108.57,110.17,108.1,107.58,106.91,103,106.12,109.69)
> 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/1wadr1489661975.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/2lgxj1489661975.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/33ljf1489661975.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 -0.309191399 -0.093370961  0.177523767 -0.224404559
 [6]  0.095205045 -0.008881077 -0.107613783  0.015029413 -0.039445218
[11]  0.054437146 -0.110466530  0.141025595  0.072522980 -0.181607657
[16]  0.173869226 -0.146485521  0.109031240  0.015180545 -0.074936731
[21]  0.039502610 -0.015276916  0.028778864 -0.055389460 -0.037792405
[26]  0.111470239 -0.103952908 -0.089198247  0.096907301 -0.087024181
[31]  0.064996491 -0.029538427  0.061992711 -0.042930456 -0.031612586
[36] -0.019219404  0.045813337  0.011378316 -0.022746172 -0.038745658
[41] -0.024996518  0.055493571  0.054201309 -0.095280524  0.011991457
[46]  0.018543933 -0.003556937  0.031790694 -0.059885872
> (mypacf <- c(rpacf$acf))
 [1] -0.309191399 -0.208945312  0.090202989 -0.174691416  0.005110151
 [6] -0.051292086 -0.081595892 -0.113045124 -0.089976626  0.009070772
[11] -0.154150455  0.081606753  0.099559156 -0.087341911  0.048326604
[16] -0.116572557  0.134008700 -0.043972636  0.059407933 -0.032385995
[21]  0.042680253  0.036031015 -0.059912024 -0.031225296  0.022000341
[26] -0.002941302 -0.190979992 -0.001499001 -0.074550874 -0.040181272
[31] -0.068973936  0.058845043 -0.046543658 -0.130658731 -0.118049904
[36]  0.035401372 -0.021005235 -0.061293420 -0.031027835 -0.076954032
[41]  0.004528919  0.054032670 -0.100242125 -0.011544185 -0.067543988
[46]  0.073532421 -0.039686205 -0.012720083
> 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/4y1ac1489661975.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/5k09v1489661975.tab") 
> 
> try(system("convert tmp/1wadr1489661975.ps tmp/1wadr1489661975.png",intern=TRUE))
character(0)
> try(system("convert tmp/2lgxj1489661975.ps tmp/2lgxj1489661975.png",intern=TRUE))
character(0)
> try(system("convert tmp/33ljf1489661975.ps tmp/33ljf1489661975.png",intern=TRUE))
character(0)
> 
> 
> proc.time()
   user  system elapsed 
  1.215   0.089   1.322