R version 3.0.2 (2013-09-25) -- "Frisbee Sailing"
Copyright (C) 2013 The R Foundation for Statistical Computing
Platform: i686-pc-linux-gnu (32-bit)

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> x <- c(9,13,12,5,13,11,8,8,8,8,0,3,0,-1,-1,-4,1,-1,0,-1,6,0,-3,-3,4,1,0,-4,-2,3,2,5,6,6,3,4,7,5,6,1,3,6,0,3,4,7,6,6,6,6,2,2,2,3,-1,-4,4,5,3,-1,-4,0,-1,-1,3,2,-4,-3,-1,3,-2,-10)
> 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. 1.2.291 ()
> #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/1b51y1387802478.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/2vspe1387802478.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/3730e1387802478.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  0.602625886  0.401338019  0.394542200  0.436668305
 [6]  0.323240626  0.116851328  0.120358008  0.093395596 -0.024037503
[11] -0.125688051 -0.019076672  0.009678105 -0.125131743 -0.253066615
[16] -0.156418968 -0.046220646 -0.189679013 -0.275367662 -0.275946112
[21] -0.198369048 -0.286010588 -0.345793534 -0.263154894 -0.148951151
[26] -0.144009694 -0.180377869 -0.035964091  0.024017022  0.040616046
[31] -0.061831600  0.026287093  0.126601393  0.049342062 -0.010241609
[36] -0.025426891  0.104718823  0.119364956  0.080505848  0.127095705
[41]  0.191161948  0.180998388  0.127074117  0.213299700  0.265050771
[46]  0.221010522  0.087794871  0.082991799  0.138867854
> (mypacf <- c(rpacf$acf))
 [1]  0.602625886  0.059952166  0.206533752  0.191740795 -0.066711033
 [6] -0.215024968  0.055562012 -0.091951049 -0.134442101 -0.054713752
[11]  0.197887538 -0.005233780 -0.123947195 -0.158093996  0.056914829
[16]  0.047808852 -0.165922995 -0.049477800 -0.116751840 -0.014534005
[21] -0.103166480 -0.043770515 -0.010210193  0.128936109  0.090137511
[26] -0.001039459  0.052727948 -0.086085413  0.045857586 -0.161222596
[31]  0.003892916  0.033572923 -0.038580524 -0.015549420 -0.086161398
[36]  0.081785065  0.138662042  0.055050500  0.062314902 -0.027461195
[41] -0.009666697 -0.057931704  0.069363219 -0.001579410  0.027271697
[46]  0.025231094 -0.044189320  0.026353253
> 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/4y4dw1387802478.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/5ioe71387802478.tab") 
> 
> try(system("convert tmp/1b51y1387802478.ps tmp/1b51y1387802478.png",intern=TRUE))
character(0)
> try(system("convert tmp/2vspe1387802478.ps tmp/2vspe1387802478.png",intern=TRUE))
character(0)
> try(system("convert tmp/3730e1387802478.ps tmp/3730e1387802478.png",intern=TRUE))
character(0)
> 
> 
> proc.time()
   user  system elapsed 
  2.753   0.546   3.267