R version 3.0.2 (2013-09-25) -- "Frisbee Sailing"
Copyright (C) 2013 The R Foundation for Statistical Computing
Platform: i686-pc-linux-gnu (32-bit)

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> x <- c(6715,7703,9856,8326,9269,7035,10342,11682,10304,11385,9777,8882,7897,6930,9545,9110,7459,7320,10017,12307,11072,10749,9589,9080,7384,8062,8511,8684,8306,7643,10577,13747,11783,11611,9946,8693,7303,7609,9423,8584,7586,6843,11811,13414,12103,11501,8213,7982,7687,7180,7862,8043,8340,6692,10065,12684,11587,9843,8110,7940,6475,6121,9669,7778,7826,7403,10741,14023,11519,10236,8075,8157)
> 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/fisher/rcomp/tmp/1boh91387802301.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/fisher/rcomp/tmp/2lpib1387802301.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/fisher/rcomp/tmp/3qk7n1387802301.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]  1.00000000  0.55114638  0.07671402 -0.19624985 -0.28612818 -0.27171618
 [7] -0.42123530 -0.33588103 -0.27494667 -0.17547497  0.14051080  0.50828606
[13]  0.74706195  0.43942344  0.00778712 -0.23121809 -0.27203809 -0.24941654
[19] -0.36460804 -0.29633007 -0.22240336 -0.09927426  0.12455650  0.41263193
[25]  0.61788994  0.32954204 -0.04911095 -0.21825513 -0.21220833 -0.16668429
[31] -0.26693287 -0.23345196 -0.17259991 -0.03974233  0.12781713  0.30848983
[37]  0.42548919  0.19983973 -0.04257445 -0.15513269 -0.12437220 -0.08422673
[43] -0.18023846 -0.15429552 -0.09815504 -0.01035074  0.09147076  0.18154022
[49]  0.25220937
> (mypacf <- c(rpacf$acf))
 [1]  0.551146379 -0.326107484 -0.116660400 -0.109798444 -0.108798738
 [6] -0.447983517  0.040369248 -0.420783924 -0.222106437  0.105425186
[11]  0.368880285  0.277702930 -0.098505221 -0.083342745 -0.154212701
[16]  0.016873106 -0.024846354 -0.062841277  0.139532887 -0.059920552
[21] -0.056790296 -0.237388017  0.038126721 -0.004551250 -0.109422894
[26] -0.043425555  0.061110950 -0.018864309 -0.012733243  0.004213337
[31] -0.026290307 -0.091847302  0.125203458 -0.173258691 -0.056212442
[36] -0.137542788 -0.035344992  0.016806653  0.084511377 -0.050646880
[41] -0.036089251  0.006568436 -0.038631100 -0.040142264  0.023338804
[46] -0.040438902 -0.029109874 -0.120224458
> lengthx <- length(x)
> sqrtn <- sqrt(lengthx)
> 
> #Note: the /var/fisher/rcomp/createtable file can be downloaded at http://www.wessa.net/cretab
> load(file="/var/fisher/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/fisher/rcomp/tmp/4oksi1387802301.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/fisher/rcomp/tmp/5uphv1387802301.tab") 
> 
> try(system("convert tmp/1boh91387802301.ps tmp/1boh91387802301.png",intern=TRUE))
character(0)
> try(system("convert tmp/2lpib1387802301.ps tmp/2lpib1387802301.png",intern=TRUE))
character(0)
> try(system("convert tmp/3qk7n1387802301.ps tmp/3qk7n1387802301.png",intern=TRUE))
character(0)
> 
> 
> proc.time()
   user  system elapsed 
  3.113   0.943   4.027