R version 3.0.3 (2014-03-06) -- "Warm Puppy"
Copyright (C) 2014 The R Foundation for Statistical Computing
Platform: i686-pc-linux-gnu (32-bit)

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> x <- c(3200944,3153170,3741498,3918719,4403449,4400407,4847473,4716136,4297440,4272253,3271834,3168388,2911748,2720999,3199918,3672623,3892013,3850845,4532467,4484739,4014972,3983758,3158459,3100569,2935404,2855719,3465611,3006985,4095110,4104793,4730788,4642726,4246919,4308032,3508154,3236641,3257275,3045631,3657692,4125747,4472507,4513455,5150896,5057815,4681742,4603682,3580181,3534002,3422762,3295209,3868093,4189245,4544332,4612845,5221595,5137505,4760439,4643697,3692267,3587603)
> 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/1y1sm1394716585.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/2vcrm1394716585.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/3mwrp1394716585.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  0.77330770  0.50893268  0.13467187 -0.26647374 -0.48730113
 [7] -0.62275219 -0.50303725 -0.29611709  0.06019541  0.39824084  0.58287263
[13]  0.71182403  0.55219121  0.33412527  0.03004361 -0.28026299 -0.45064562
[19] -0.56732103 -0.46211147 -0.30300900 -0.02910966  0.22008786  0.34753567
[25]  0.44896729  0.31748439  0.16167230 -0.05630733 -0.29818076 -0.41056880
[31] -0.46882238 -0.37924276 -0.24717414 -0.05692158  0.12613787  0.23187618
[37]  0.29715705  0.21422162  0.09577375 -0.04033364 -0.17977788 -0.25089724
[43] -0.28589766 -0.23962178 -0.15536594 -0.02546972  0.08568466  0.13444705
[49]  0.16867487
> (mypacf <- c(rpacf$acf))
 [1]  0.773307703 -0.221575097 -0.457143945 -0.441670803  0.112729718
 [6] -0.050675272  0.285694446 -0.015556215  0.397955110  0.078771195
[11] -0.062688366  0.113017302 -0.183833933  0.061684877 -0.004480674
[16]  0.068838804 -0.018784333 -0.136327995 -0.059335390 -0.105867818
[21]  0.066112140 -0.160008012 -0.035147655  0.022420070 -0.127595134
[26] -0.050381596  0.005896618 -0.068591310 -0.003509127  0.095329830
[31] -0.106206639 -0.009264518 -0.135303365  0.032578376  0.144524391
[36] -0.079548853  0.022981337 -0.070948848  0.171129686  0.025690642
[41] -0.040378577 -0.036480884 -0.065595837  0.064454632  0.001976359
[46] -0.037983368 -0.162277800  0.002177720
> 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/4r9k51394716585.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/5lu101394716585.tab") 
> 
> try(system("convert tmp/1y1sm1394716585.ps tmp/1y1sm1394716585.png",intern=TRUE))
character(0)
> try(system("convert tmp/2vcrm1394716585.ps tmp/2vcrm1394716585.png",intern=TRUE))
character(0)
> try(system("convert tmp/3mwrp1394716585.ps tmp/3mwrp1394716585.png",intern=TRUE))
character(0)
> 
> 
> proc.time()
   user  system elapsed 
  2.586   0.538   3.130