R version 3.0.1 (2013-05-16) -- "Good Sport"
Copyright (C) 2013 The R Foundation for Statistical Computing
Platform: i686-pc-linux-gnu (32-bit)

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> x <- c(3207324
+ ,3178086
+ ,3148485
+ ,3087246
+ ,3693267
+ ,3661164
+ ,3207324
+ ,2905563
+ ,2934699
+ ,2934699
+ ,2967168
+ ,3025542
+ ,3207324
+ ,3148485
+ ,3239325
+ ,3388641
+ ,4238049
+ ,4238049
+ ,4056732
+ ,3874950
+ ,4024266
+ ,4205949
+ ,4238049
+ ,4328892
+ ,4601499
+ ,4419732
+ ,4419732
+ ,4692342
+ ,5448042
+ ,5509281
+ ,5357202
+ ,4993734
+ ,5266260
+ ,5266260
+ ,5295495
+ ,5448042
+ ,5568120
+ ,5629359
+ ,5629359
+ ,5811042
+ ,6508356
+ ,6689670
+ ,6718809
+ ,6264966
+ ,6508356
+ ,6417513
+ ,6235746
+ ,6628434
+ ,6718809
+ ,6566727
+ ,6598830
+ ,6809748
+ ,7597920
+ ,7990056
+ ,7990056
+ ,7808739
+ ,8080980
+ ,7808739
+ ,7656276
+ ,8233527
+ ,8323902
+ ,8110134
+ ,8654901
+ ,8868684
+ ,9504309
+ ,9926133
+ ,9867774
+ ,9835290
+ ,10078677
+ ,10049076
+ ,9686076
+ ,10230759
+ ,10412541
+ ,10230759
+ ,10986462
+ ,11349927
+ ,12196086
+ ,12529950
+ ,12439476
+ ,12257691
+ ,12409872
+ ,12591555
+ ,11985168
+ ,12468612
+ ,12773337
+ ,12650394
+ ,13438098
+ ,13710240
+ ,14861511
+ ,15072414
+ ,14800254
+ ,14952351
+ ,15043194
+ ,15134034
+ ,14556783
+ ,15101568
+ ,15403311
+ ,15101568
+ ,15980562
+ ,16252821
+ ,17433111
+ ,17614893
+ ,17673267
+ ,17977893
+ ,17977893
+ ,18097971
+ ,17553189
+ ,17825814
+ ,18007131
+ ,17673267
+ ,18642738
+ ,18824436
+ ,20034063
+ ,20247849
+ ,20549592
+ ,20822217
+ ,20851353
+ ,20883456
+ ,20338689
+ ,20883456)
> 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/1m56k1375884865.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/2wqz31375884865.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/3ogrx1375884865.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  0.974719146  0.950395300  0.923515856  0.895875013
 [6]  0.869071776  0.842311110  0.816445964  0.789799889  0.766716876
[11]  0.743585825  0.722906881  0.700637258  0.675178608  0.649833468
[16]  0.622246406  0.594464577  0.567805107  0.541510988  0.515622056
[21]  0.489258104  0.466547302  0.444629428  0.425049446  0.404081112
[26]  0.381287678  0.359168955  0.334732427  0.310250513  0.286982439
[31]  0.263936877  0.240165607  0.215911445  0.195336126  0.175408210
[36]  0.157581016  0.139018241  0.119110644  0.100155634  0.079028171
[41]  0.057995912  0.038273221  0.018141766 -0.001973202 -0.022262237
[46] -0.039939854 -0.056615655 -0.071657378 -0.087162983
> (mypacf <- c(rpacf$acf))
 [1]  9.747191e-01  6.367593e-03 -6.331091e-02 -3.119686e-02  4.157255e-03
 [6] -1.118542e-02  2.064227e-03 -3.006256e-02  5.481489e-02 -1.043115e-02
[11]  3.025761e-02 -4.571009e-02 -8.095372e-02 -1.400524e-02 -4.948814e-02
[16] -2.327953e-02  1.297062e-02 -8.739579e-03 -6.113956e-03 -3.034952e-02
[21]  4.835678e-02  2.178090e-03  1.736198e-02 -4.315361e-02 -5.301477e-02
[26] -7.695547e-05 -4.698796e-02 -2.506078e-02  1.652207e-02 -1.139588e-02
[31] -2.633709e-02 -3.544034e-02  4.594656e-02 -2.611565e-03  4.284455e-03
[36] -3.219882e-02 -4.507930e-02  5.670848e-03 -4.436007e-02 -2.829398e-02
[41]  1.854803e-02 -2.286824e-02 -8.316291e-03 -2.997992e-02  2.162210e-02
[46]  3.954983e-03 -9.773128e-03 -3.005110e-02
> 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/4y6y51375884865.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/5vj0j1375884866.tab") 
> 
> try(system("convert tmp/1m56k1375884865.ps tmp/1m56k1375884865.png",intern=TRUE))
character(0)
> try(system("convert tmp/2wqz31375884865.ps tmp/2wqz31375884865.png",intern=TRUE))
character(0)
> try(system("convert tmp/3ogrx1375884865.ps tmp/3ogrx1375884865.png",intern=TRUE))
character(0)
> 
> 
> proc.time()
   user  system elapsed 
  2.363   0.582   2.921