R version 3.3.3 (2017-03-06) -- "Another Canoe"
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Platform: x86_64-pc-linux-gnu (64-bit)

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> x <- c(8899,8899,9093,9093,9093,9116,9116,9116,10073,10073,10073,9223,9223,9223,9151,9151,9151,6727,6727,6727,7232,7232,7232,6370,6370,6370,6862,6862,6862,7029,7029,7029,7031,7031,7031,7223,7223,7223,8065,8065,8065,7657,7657,7657,7328,7328,7328,7115,7115,7115,7926,7926,7926,8681,8681,8681,8670,8670,8670,8028,8028)
> 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/1i5h11489690075.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/2qpu91489690075.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/3qvji1489690075.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  0.901390920  0.802781840  0.700588354  0.631607149
 [6]  0.562625944  0.493289937  0.373761678  0.254233418  0.121248846
[11]  0.068777601  0.016306357 -0.022616842 -0.083160673 -0.143704504
[16] -0.203404234 -0.237748313 -0.272092392 -0.270646874 -0.283816430
[21] -0.296985987 -0.318125133 -0.299787256 -0.281449378 -0.249351125
[26] -0.237671893 -0.225992662 -0.221442741 -0.215130706 -0.208818671
[31] -0.204994605 -0.222508735 -0.240022866 -0.257386893 -0.244100747
[36] -0.230814600 -0.219861272 -0.187935278 -0.156009284 -0.137566996
[41] -0.097972350 -0.058377705 -0.012155321  0.008295549  0.028746418
[46]  0.051491371  0.062238168  0.072984965  0.086830214
> (mypacf <- c(rpacf$acf))
 [1]  0.901390920 -0.051861550 -0.073867245  0.118455235 -0.044907536
 [6] -0.055356064 -0.294393660 -0.085864552 -0.167542116  0.290462876
[11] -0.071442344  0.002912059 -0.042024994 -0.058025304 -0.020911956
[16] -0.125562320 -0.072694787  0.065164727  0.054551023 -0.069361819
[21] -0.034553133  0.152416141 -0.052685836 -0.014808037 -0.135003798
[26] -0.057278797  0.065778551 -0.133156566 -0.039666096 -0.132962125
[31]  0.018212488 -0.067952858 -0.012659979  0.084325093 -0.034949252
[36]  0.044398917  0.102880338 -0.005109477 -0.116893169  0.059591771
[41] -0.006552418 -0.014364132 -0.093893128 -0.006554738  0.070422576
[46] -0.064509645 -0.040093762 -0.067554208
> 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/4q2ik1489690075.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/5fkab1489690075.tab") 
> 
> try(system("convert tmp/1i5h11489690075.ps tmp/1i5h11489690075.png",intern=TRUE))
character(0)
> try(system("convert tmp/2qpu91489690075.ps tmp/2qpu91489690075.png",intern=TRUE))
character(0)
> try(system("convert tmp/3qvji1489690075.ps tmp/3qvji1489690075.png",intern=TRUE))
character(0)
> 
> 
> proc.time()
   user  system elapsed 
  1.325   0.122   1.470