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 = '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. 1.2.327 (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/11go61476809423.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/2mx0k1476809423.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/3f1y31476809423.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 -0.198429688 -0.357138497 -0.001123153  0.088859104
 [6] -0.032871099 -0.054742872  0.234852569 -0.025620715 -0.037854878
[11] -0.314763410  0.024321448  0.427229768 -0.045848982 -0.134769556
[16] -0.090438783  0.006039333  0.051618371 -0.038076386  0.096069791
[21]  0.028199555 -0.008717792 -0.335155591  0.076423426  0.273183938
[26] -0.032412090  0.009670388 -0.145428996 -0.004404456  0.039661814
[31] -0.029089327 -0.043082274  0.157478480  0.018010523 -0.262091684
[36] -0.020845469  0.248989982  0.007224749 -0.103145504 -0.024547717
[41]  0.050141829 -0.017874963 -0.045401351  0.046330060  0.090742004
[46] -0.039682899 -0.142680824  0.056279074  0.065068429
> (mypacf <- c(rpacf$acf))
 [1] -0.198429688 -0.412765196 -0.229806419 -0.169015512 -0.184049562
 [6] -0.196978512  0.135636999  0.059187248  0.219969196 -0.271632020
[11] -0.215128982  0.184246777  0.109796441  0.152695695 -0.026118087
[16] -0.150095542  0.149883325 -0.010031516 -0.018316986 -0.093589417
[21] -0.050001314 -0.189240371 -0.051067189 -0.115932712 -0.079541269
[26]  0.088746389 -0.027686529 -0.004174158  0.086173487 -0.084749921
[31] -0.173747859 -0.071293258 -0.090575238  0.043954238 -0.132602222
[36]  0.045590772  0.005887989 -0.090436402  0.023770783 -0.036740080
[41] -0.078609443  0.063083153 -0.007848365  0.012944506 -0.038896172
[46] -0.027497953  0.094162676  0.009183090
> 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/4xel81476809423.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/5r2oi1476809423.tab") 
> 
> try(system("convert tmp/11go61476809423.ps tmp/11go61476809423.png",intern=TRUE))
character(0)
> try(system("convert tmp/2mx0k1476809423.ps tmp/2mx0k1476809423.png",intern=TRUE))
character(0)
> try(system("convert tmp/3f1y31476809423.ps tmp/3f1y31476809423.png",intern=TRUE))
character(0)
> 
> 
> proc.time()
   user  system elapsed 
  1.235   0.119   1.369