R version 3.2.2 (2015-08-14) -- "Fire Safety"
Copyright (C) 2015 The R Foundation for Statistical Computing
Platform: x86_64-pc-linux-gnu (64-bit)

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> x <- c(143.7,149.3,121.7,81,68.1,92.3,107.7,114.4,98.6,106.7,73.9,85.9,118.4,144.2,118.4,82.6,68,99.8,93.4,107.9,101.1,100.4,76.7,89.1,105.3,124.8,111.9,89,88.6,84.5,91.1,118.1,103.6,92.6,70.2,70.2,114.3,125.3,98.9,65.4,66,71.2,84.6,102.6,91.8,97.4,64.1,62.3,96.2,104.9,90.3,65.2,57.8,70.5,93.2,74.2,91.1,85,58.9,68.3,98.1,110.5,77.6,55.1,49.8,58.5,86.5,88.8,94,65,52.2,70.9)
> 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/10r3o1445596978.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/22kt81445596978.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/3q0ty1445596978.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  0.15842915 -0.39549426 -0.52771734 -0.13414710  0.22068600
 [7]  0.36858491  0.23980032 -0.06890058 -0.52018223 -0.36975773  0.23888247
[13]  0.62372979  0.10354743 -0.21321876 -0.40877670 -0.13500125  0.17918189
[19]  0.30101053  0.20526792 -0.09323420 -0.42967492 -0.28157800  0.25223020
[25]  0.43080627  0.14608331 -0.20513169 -0.36754587 -0.09779881  0.12257575
[31]  0.25811774  0.21993328 -0.09706451 -0.33977883 -0.22727032  0.19810573
[37]  0.33264291  0.11540844 -0.19607719 -0.20897202 -0.03695983  0.05033695
[43]  0.12958271  0.15409065 -0.04103185 -0.20990595 -0.18452816  0.16094755
[49]  0.22220267
> (mypacf <- c(rpacf$acf))
 [1]  0.158429152 -0.431422681 -0.465913759 -0.282625276 -0.263524444
 [6] -0.084731978  0.135666043  0.211023785 -0.235917246 -0.283066981
[11] -0.042819732  0.217796853 -0.207005673  0.130257509 -0.039459800
[16] -0.012575238  0.137395177  0.007046256 -0.066576038  0.015350549
[21] -0.010787809 -0.212515783  0.066773220  0.006919790  0.010958709
[26]  0.003283980  0.030994367 -0.023530360 -0.082633301 -0.023039849
[31] -0.077800697 -0.053156197  0.067742090 -0.028031665  0.031068212
[36]  0.087744301 -0.073223851 -0.073849256  0.134413925  0.074365959
[41] -0.040802803 -0.051118325 -0.017331017 -0.036113601  0.054960788
[46] -0.058538296 -0.012072553 -0.003636031
> 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/4htxi1445596978.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/513wb1445596978.tab") 
> 
> try(system("convert tmp/10r3o1445596978.ps tmp/10r3o1445596978.png",intern=TRUE))
character(0)
> try(system("convert tmp/22kt81445596978.ps tmp/22kt81445596978.png",intern=TRUE))
character(0)
> try(system("convert tmp/3q0ty1445596978.ps tmp/3q0ty1445596978.png",intern=TRUE))
character(0)
> 
> 
> proc.time()
   user  system elapsed 
  1.102   0.235   1.344