R version 3.0.2 (2013-09-25) -- "Frisbee Sailing"
Copyright (C) 2013 The R Foundation for Statistical Computing
Platform: x86_64-pc-linux-gnu (64-bit)

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> x <- c(105,101,95,93,84,87,116,120,117,109,105,107,109,109,108,107,99,103,131,137,135,124,118,121,121,118,113,107,100,102,130,136,133,120,112,109,110,106,102,98,92,92,120,127,124,114,108,106,111,110,104,100,96,98,122,134,133,125,118,116,118,116,111,108,102,102,129,136,137,126,119,117)
> 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/13t9q1413635128.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/2pl8m1413635128.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/33klw1413635128.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  0.326654952 -0.242779526 -0.432249843 -0.287888575
 [6]  0.021375302  0.206502129  0.059994371 -0.205331851 -0.361144935
[11] -0.223530964  0.252396644  0.806267087  0.301987500 -0.197292704
[16] -0.381655768 -0.259828050  0.008018653  0.166625191  0.053514901
[21] -0.168905999 -0.305443608 -0.189009325  0.169590170  0.651432945
[26]  0.272582631 -0.143625472 -0.305197423 -0.208560346 -0.019829825
[31]  0.123096128  0.054790970 -0.112691745 -0.206925015 -0.131753808
[36]  0.109226987  0.480017844  0.220371239 -0.099582769 -0.222418853
[41] -0.159047160 -0.020880638  0.091254308  0.060852886 -0.071332551
[46] -0.126464521 -0.091748476  0.054255037  0.302430013
> (mypacf <- c(rpacf$acf))
 [1]  0.326654952 -0.391228407 -0.256581519 -0.166536673 -0.030627657
 [6] -0.017168942 -0.186037230 -0.263406837 -0.378791474 -0.406264422
[11] -0.135908612  0.585504455 -0.250949655  0.068966428  0.099468271
[16]  0.108171629 -0.005648724 -0.044788202 -0.014149973 -0.073182956
[21] -0.059933753 -0.053383779 -0.213878612 -0.048401500 -0.163723610
[26] -0.078794865 -0.079820859 -0.055436883 -0.169833972 -0.074701753
[31] -0.047026573 -0.033449561  0.051639464  0.032944649  0.026053934
[36] -0.067261032  0.038338736 -0.015290512 -0.035529104 -0.081567053
[41] -0.020510484 -0.063766708 -0.004374837 -0.067367702  0.034394256
[46] -0.034797515  0.033856685 -0.148018147
> 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/4zakg1413635128.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/5jy4b1413635128.tab") 
> 
> try(system("convert tmp/13t9q1413635128.ps tmp/13t9q1413635128.png",intern=TRUE))
character(0)
> try(system("convert tmp/2pl8m1413635128.ps tmp/2pl8m1413635128.png",intern=TRUE))
character(0)
> try(system("convert tmp/33klw1413635128.ps tmp/33klw1413635128.png",intern=TRUE))
character(0)
> 
> 
> proc.time()
   user  system elapsed 
  1.175   0.202   1.378