R version 3.3.1 (2016-06-21) -- "Bug in Your Hair"
Copyright (C) 2016 The R Foundation for Statistical Computing
Platform: x86_64-pc-linux-gnu (64-bit)

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> x <- c(272567,266674,301601,322421,313776,300156,315745,299214,295184,340003,332748,316337,293572,308713,354188,334540,313285,337881,356955,323661,296034,377623,342590,300905,309470,271492,307759,326106,335576,310485,335173,298344,288269,319410,327692,315401,277720,260573,318025,300264,317640,303273,315089,275840,292823,339759,328032,344675,260952,275466,331940,347644,338063,384283,398482,347062,350731,368799,387710,362988)
> 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. 1.2.327 (Mon, 30 Nov 2015 06:58:35 +0000)
> #Author: root
> #To cite this work: Wessa P., (2015), (Partial) Autocorrelation Function (v1.0.12) 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)
> x <- na.omit(x)
> 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/12ahz1476809225.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/2cojn1476809225.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/3edq91476809225.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  0.488251890  0.138851987  0.169514281  0.230652458
 [6]  0.201972172  0.152614217  0.176425642 -0.003531253 -0.171197458
[11] -0.255033758 -0.002530660  0.225303025 -0.035398816 -0.228927793
[16] -0.266304967 -0.198361949 -0.140478806 -0.140889688 -0.080185407
[21] -0.149081941 -0.255243182 -0.299375796 -0.009419445  0.161040575
[26]  0.049661438 -0.073296720 -0.171251731 -0.093071554 -0.010636244
[31] -0.015367858  0.045314535  0.096268868 -0.005949585 -0.087464695
[36]  0.113913981  0.295750964  0.214567556  0.078073769  0.057196094
[41]  0.104239789  0.095462618  0.064295826  0.097719989  0.070762396
[46] -0.047317088 -0.106346267 -0.006879691  0.063242864
> (mypacf <- c(rpacf$acf))
 [1]  0.488251890 -0.130694069  0.209284753  0.090022777  0.063218262
 [6]  0.038228202  0.094215382 -0.231244182 -0.141953961 -0.241951861
[11]  0.261056845  0.220209164 -0.210776047 -0.096220386 -0.202804257
[16] -0.046961578  0.044704029 -0.152224842  0.028446491 -0.011790024
[21]  0.004884161 -0.012923641  0.120206086 -0.041715591  0.060302890
[26] -0.117883703 -0.154493910 -0.027545643 -0.003677330 -0.109166861
[31]  0.098726481  0.133608743  0.096276707  0.028781220 -0.033726311
[36]  0.047607325 -0.075410391 -0.059508392  0.106362739 -0.041373577
[41]  0.079009694  0.006986656 -0.049580692 -0.063400517  0.008313009
[46] -0.045525894  0.008990913 -0.123739877
> 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/48tbp1476809225.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/5a6191476809225.tab") 
> 
> try(system("convert tmp/12ahz1476809225.ps tmp/12ahz1476809225.png",intern=TRUE))
character(0)
> try(system("convert tmp/2cojn1476809225.ps tmp/2cojn1476809225.png",intern=TRUE))
character(0)
> try(system("convert tmp/3edq91476809225.ps tmp/3edq91476809225.png",intern=TRUE))
character(0)
> 
> 
> proc.time()
   user  system elapsed 
  1.332   0.092   1.448