R version 3.0.2 (2013-09-25) -- "Frisbee Sailing"
Copyright (C) 2013 The R Foundation for Statistical Computing
Platform: x86_64-pc-linux-gnu (64-bit)

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> x <- c(82303,79596,74472,73562,66618,69029,89899,93774,90305,83799,80320,82497,84420,84646,84186,83269,77793,81145,101691,107357,104253,95963,91432,94324,93855,92183,87600,83641,78195,79604,100846,105293,102518,93132,87479,85476,85460,82868,79941,76909,72613,72496,93244,99126,96748,89318,84724,83111,87497,86961,82319,79196,76898,77971,97335,106855,105401,99108,93456,92506,94602,93027,89722,87391,83030,83390,104501,110393,111017,103434,97817,96893)
> 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. 1.2.291 ()
> #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/16o7v1413467428.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/203up1413467428.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/3bhth1413467428.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  0.339731791 -0.262272552 -0.440188117 -0.290286506
 [6]  0.037779549  0.215708015  0.074727466 -0.206089129 -0.374470977
[11] -0.245423178  0.262422301  0.805358085  0.309106490 -0.207734697
[16] -0.382485284 -0.261188211  0.019289150  0.168861816  0.064042719
[21] -0.167208231 -0.313072191 -0.205617810  0.175069382  0.645568600
[26]  0.279294935 -0.150971611 -0.299591483 -0.214237853 -0.008692544
[31]  0.122427491  0.064156886 -0.109146525 -0.215273254 -0.149137890
[36]  0.110932457  0.478468045  0.231204902 -0.105368353 -0.220936897
[41] -0.168874781 -0.010727903  0.098347507  0.069396672 -0.071864034
[46] -0.137092962 -0.108554893  0.057734145  0.306357639
> (mypacf <- c(rpacf$acf))
 [1]  0.33973179 -0.42697015 -0.23224363 -0.18133930 -0.01050112 -0.03281500
 [7] -0.16140805 -0.26555558 -0.37604756 -0.41484095 -0.08211711  0.57345207
[13] -0.27019486  0.10398370  0.09025933  0.11039361 -0.02636811 -0.05027984
[19] -0.02045241 -0.08371001 -0.04290775 -0.05597098 -0.22129316 -0.03268784
[25] -0.14347790 -0.07872867 -0.06578440 -0.07047516 -0.13613768 -0.07355187
[31] -0.02938964 -0.03495788  0.03774834  0.02058731  0.01248452 -0.06815726
[37]  0.03751023 -0.04930200 -0.05448449 -0.08497386 -0.02007619 -0.04946197
[43] -0.01585203 -0.07361828  0.04850033 -0.04021744  0.04568956 -0.16817912
> 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/4x4r61413467428.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/5ed451413467428.tab") 
> 
> try(system("convert tmp/16o7v1413467428.ps tmp/16o7v1413467428.png",intern=TRUE))
character(0)
> try(system("convert tmp/203up1413467428.ps tmp/203up1413467428.png",intern=TRUE))
character(0)
> try(system("convert tmp/3bhth1413467428.ps tmp/3bhth1413467428.png",intern=TRUE))
character(0)
> 
> 
> proc.time()
   user  system elapsed 
  1.179   0.186   1.380