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(4.8,4,3.5,4.1,4.1,3.8,3.5,4.1,4.5,4.1,3.8,4.6,5.2,4.4,4.3,4.7,5.1,4.6,4.7,4.9,5.1,4.6,4.6,4.8,5.1,4.8,4.4,4.8,4.7,4,3.5,4,3.7,3.1,2.9,3.3,3.5,3,2.7,3.2,3.8,3.3,3.1,3.5,3.9,3.4,3.2,3.6,3.9,3.2,3,3.4,3.6,3,3,3.6,3.6,3.3,3.3,3.6,3.8,3.3,3.1,3.4,3.5,3.1,3,3.3,3.7,3.1,2.9,3.1,3.2)
> par8 = ''
> par7 = '0.95'
> par6 = 'White Noise'
> par5 = '4'
> par4 = '0'
> par3 = '0'
> par2 = '1'
> par1 = '48'
> par8 <- ''
> par7 <- '0.95'
> par6 <- 'White Noise'
> par5 <- '4'
> par4 <- '0'
> par3 <- '0'
> 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/1wcdk1413460600.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/25nh91413460600.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/3zb571413460600.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  0.793135436  0.612244898  0.721088435  0.810760668
 [6]  0.615027829  0.426406926  0.506493506  0.576685220  0.389610390
[11]  0.209956710  0.299319728  0.370748299  0.207792208  0.056895485
[16]  0.145021645  0.214594929  0.063388992 -0.064007421  0.015460730
[21]  0.078231293 -0.064007421 -0.173160173 -0.086889301 -0.002164502
[26] -0.117810761 -0.209338281 -0.110080396 -0.024118738 -0.129870130
[31] -0.217996289 -0.130797774 -0.062461348 -0.152752010 -0.247680891
[36] -0.189548547 -0.130797774 -0.221397650 -0.312615955 -0.251391466
[41] -0.197897341 -0.282622140 -0.340445269 -0.277056277 -0.229746444
[46] -0.290352505 -0.317872604 -0.250154607 -0.196351268
> (mypacf <- c(rpacf$acf))
 [1]  0.793135436 -0.045341821  0.673845605  0.129828680 -0.398651543
 [6] -0.251381119  0.086274374  0.057113836 -0.109032778 -0.107631851
[11]  0.145553670 -0.004139984  0.024588651 -0.067082588  0.009609340
[16] -0.065672526 -0.035529209 -0.007779235 -0.058554088 -0.023725234
[21] -0.052082568  0.031013889  0.023116496  0.159903180 -0.036016656
[26]  0.001149379 -0.030837069  0.012266550 -0.097240766 -0.045313919
[31] -0.109157143 -0.030027157  0.063910530 -0.054446964 -0.109099315
[36] -0.016841968 -0.027937579  0.019771984  0.030091529 -0.075793900
[41] -0.056705349  0.096441665 -0.023881935 -0.064804673  0.029883442
[46]  0.095274097 -0.003043360  0.053267556
> 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/48acz1413460600.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/5uwj61413460600.tab") 
> 
> try(system("convert tmp/1wcdk1413460600.ps tmp/1wcdk1413460600.png",intern=TRUE))
character(0)
> try(system("convert tmp/25nh91413460600.ps tmp/25nh91413460600.png",intern=TRUE))
character(0)
> try(system("convert tmp/3zb571413460600.ps tmp/3zb571413460600.png",intern=TRUE))
character(0)
> 
> 
> proc.time()
   user  system elapsed 
  1.215   0.219   1.439