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(560576,548854,531673,525919,511038,498662,555362,564591,541657,527070,509846,514258,516922,507561,492622,490243,469357,477580,528379,533590,517945,506174,501866,516141,528222,532638,536322,536535,523597,536214,586570,596594,580523,564478,557560,575093,580112,574761,563250,551531,537034,544686,600991,604378,586111,563668,548604,551174,555654,547970,540324,530577,520579,518654,572273,581302,563280,547612,538712,540735,561649,558685,545732,536352,527676,530455,581744,598714,583775,571477,563278,564872,577537,572399,565430,560619,551227,553397,610893,621668,613148,598778,590623,595902)
> 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/17s311413623221.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/24hnf1413623221.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/376zl1413623221.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  0.24244982 -0.37113154 -0.36664349 -0.23107862  0.12597288
 [7]  0.37590397  0.13836267 -0.17837194 -0.33979221 -0.35451475  0.21299731
[13]  0.78696600  0.18547176 -0.33314689 -0.35324857 -0.21972623  0.09126417
[19]  0.29872074  0.12246848 -0.16072537 -0.33213059 -0.31699762  0.14494394
[25]  0.64038634  0.17963758 -0.27506870 -0.29555048 -0.17000186  0.07543947
[31]  0.22178264  0.11441328 -0.13040666 -0.24544272 -0.22845364  0.11927665
[37]  0.53744645  0.17509946 -0.20536731 -0.21806765 -0.14450591  0.04037479
[43]  0.18398442  0.11487344 -0.07729452 -0.15347227 -0.16735773  0.06392446
[49]  0.38809133
> (mypacf <- c(rpacf$acf))
 [1]  2.424498e-01 -4.567629e-01 -1.675785e-01 -3.267858e-01  5.324574e-02
 [6]  1.058398e-01 -2.717485e-02 -5.293770e-02 -2.088164e-01 -3.581926e-01
[11]  1.882072e-01  5.954797e-01 -1.717570e-01  4.725938e-02 -2.033271e-02
[16]  5.444970e-02 -1.453161e-01 -1.457173e-01 -5.984538e-02 -1.392990e-01
[21] -1.186812e-01 -7.322298e-02 -2.237916e-01  2.827681e-02 -7.524453e-02
[26] -6.580834e-04  1.108125e-02  6.078355e-02  2.842920e-02 -1.105492e-01
[31]  7.558351e-03 -7.732687e-02  7.699982e-02 -1.491843e-02 -1.982450e-02
[36]  1.978086e-02 -1.197359e-05  6.000543e-02  1.002244e-02 -9.286586e-02
[41] -1.949893e-02 -4.732729e-03 -4.225257e-03 -7.422428e-03  5.368088e-02
[46]  4.520410e-02 -4.124580e-02 -8.694490e-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/4ck6d1413623221.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/5kis51413623221.tab") 
> 
> try(system("convert tmp/17s311413623221.ps tmp/17s311413623221.png",intern=TRUE))
character(0)
> try(system("convert tmp/24hnf1413623221.ps tmp/24hnf1413623221.png",intern=TRUE))
character(0)
> try(system("convert tmp/376zl1413623221.ps tmp/376zl1413623221.png",intern=TRUE))
character(0)
> 
> 
> proc.time()
   user  system elapsed 
  1.182   0.162   1.354