R version 3.2.2 (2015-08-14) -- "Fire Safety"
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Platform: x86_64-pc-linux-gnu (64-bit)

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> x <- c(82.75,83.4,84.12,83.88,83.61,83.58,83.58,83.27,83.59,83.64,83.72,83.88,83.61,85.36,87.2,88.28,88.64,88.67,88.34,89.21,89.55,89.65,88.43,91.15,94.11,96.78,97.94,97.57,96.48,96.18,95,93.84,95.54,94.06,93.92,92.55,93.88,92.19,91.42,91.39,89.12,90.27,91.76,95.68,97.54,98.47,100.11,99.9,101.11,98.86,102.71,102.02,100.61,100.62,99.51,98.63,97.44,96.5,94.3,92.92,96.07,95,93.27,91.94,91.62,91.01,90.62,97.72,99.09,99.72,100.22,99.15,101.16,101.8,103.31,101.19,99.09,95.91,94.56,95.76,100.36,102.67,103.58,100.89,103.46,104.86,104.88,104.46,103.83,101,99.36,96.71,95.23,95.62,95.8,94.79,95.39,94.9,94.84,94.68,94.17,94.1,93.84,94.2,97.76,98.26,99.63,98.75)
> 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. 1.2.291 ()
> #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/1wbb21445545286.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/20lev1445545286.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/3v5xm1445545286.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  0.228739273  0.119524117 -0.094751819 -0.104765852
 [6] -0.045115360 -0.046087217  0.120429175 -0.169258563 -0.204089369
[11] -0.153494836 -0.156756266  0.081895978  0.000650055  0.056589646
[16] -0.192415336 -0.152088433  0.064741930  0.032148887  0.081475347
[21]  0.025284990  0.007641776 -0.026927224 -0.046047460  0.216742420
[26]  0.060369836  0.055967697 -0.090075962 -0.032061681 -0.022272336
[31]  0.019674534  0.051662362 -0.064294444 -0.113127711 -0.001665055
[36]  0.026623321  0.114956910  0.173142556  0.032820355 -0.066888170
[41] -0.066825719 -0.027422020  0.027170779  0.045310902  0.057356286
[46] -0.108568441 -0.049138687 -0.108042470 -0.002378204
> (mypacf <- c(rpacf$acf))
 [1]  0.228739273  0.070912733 -0.144629976 -0.067943301  0.020131229
 [6] -0.036166188  0.130178641 -0.246985245 -0.179235157 -0.001524167
[11] -0.115531719  0.107196582 -0.065756659 -0.063022258 -0.189304416
[16] -0.090337380  0.137033837 -0.039761310 -0.132698523 -0.013085221
[21] -0.032686881  0.034371087 -0.046604291  0.102750774 -0.047968278
[26] -0.065553672 -0.062967480  0.083169266 -0.007398132 -0.004914222
[31] -0.111050694 -0.027627067 -0.027062683  0.102842558  0.056266673
[36]  0.015966612  0.136002183 -0.125249049  0.030277816  0.109882786
[41] -0.078163152 -0.004086262  0.038356401  0.054034524 -0.020219537
[46]  0.033732852 -0.067645841 -0.029013996
> 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/4tpq71445545286.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/5eiix1445545286.tab") 
> 
> try(system("convert tmp/1wbb21445545286.ps tmp/1wbb21445545286.png",intern=TRUE))
character(0)
> try(system("convert tmp/20lev1445545286.ps tmp/20lev1445545286.png",intern=TRUE))
character(0)
> try(system("convert tmp/3v5xm1445545286.ps tmp/3v5xm1445545286.png",intern=TRUE))
character(0)
> 
> 
> proc.time()
   user  system elapsed 
  1.175   0.208   1.396