R version 3.3.1 (2016-06-21) -- "Bug in Your Hair"
Copyright (C) 2016 The R Foundation for Statistical Computing
Platform: x86_64-pc-linux-gnu (64-bit)

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> x <- c(86.37,86.84,86.73,90.99,92.61,93.83,94.2,94.01,93.47,93.27,94.3,94.53,94.59,94.69,94.67,96.55,97.14,97.32,97.97,98.49,99.11,99.09,98.76,99.2,99.61,99.54,99.68,100.75,100.38,100.79,100.39,100.39,100.12,100,99.17,99.17,99.59,99.96,99.68,101.03,100.99,101.38,101.84,101.52,101.37,101.22,101.45,101.99,104.05,104.61,105.06,105.4,104.71,104.8,104.83,104.81,104.49,104.59,104.5,104.61)
> 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/166fx1476988112.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/2mo9w1476988112.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/3ls1x1476988112.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  0.909525163  0.814265205  0.709313954  0.643872981
 [6]  0.593146107  0.554427790  0.517687306  0.476840640  0.425702996
[11]  0.369235115  0.321786119  0.275565200  0.228483375  0.182364149
[16]  0.135112505  0.103402978  0.075515895  0.046562065  0.026506905
[21]  0.013674632  0.004737240 -0.003012642 -0.018168501 -0.029689158
[26] -0.041649319 -0.053408889 -0.070131759 -0.076192300 -0.087069962
[31] -0.093336816 -0.105683479 -0.115136991 -0.131589838 -0.148895282
[36] -0.176421044 -0.206177397 -0.235754500 -0.260045042 -0.292235399
[41] -0.312061625 -0.327496833 -0.335824248 -0.336792315 -0.343526936
[46] -0.354538213 -0.366831849 -0.379274354 -0.388083200
> (mypacf <- c(rpacf$acf))
 [1]  0.909525163 -0.075078253 -0.108258448  0.173555552  0.036360975
 [6]  0.004278226  0.017321010 -0.027990638 -0.067227886 -0.043599864
[11]  0.025316213 -0.047303614 -0.065564880 -0.016196799 -0.044312694
[16]  0.047435422 -0.006849411 -0.054896835  0.050417238  0.034423770
[21] -0.003705356  0.010346435 -0.041741384  0.011321892 -0.009796708
[26] -0.022958536 -0.048732195  0.031816289 -0.046285375 -0.012022916
[31] -0.024766466 -0.009246536 -0.066459703 -0.023101364 -0.068158714
[36] -0.064305289 -0.031357364 -0.024769691 -0.107057982  0.033770656
[41] -0.006510023 -0.032025632  0.046584870 -0.052416111 -0.056946030
[46] -0.002547475 -0.031631897 -0.034417061
> 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/4v8k51476988112.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/5qhta1476988112.tab") 
> 
> try(system("convert tmp/166fx1476988112.ps tmp/166fx1476988112.png",intern=TRUE))
character(0)
> try(system("convert tmp/2mo9w1476988112.ps tmp/2mo9w1476988112.png",intern=TRUE))
character(0)
> try(system("convert tmp/3ls1x1476988112.ps tmp/3ls1x1476988112.png",intern=TRUE))
character(0)
> 
> 
> proc.time()
   user  system elapsed 
  1.232   0.088   1.333