R version 3.1.0 (2014-04-10) -- "Spring Dance"
Copyright (C) 2014 The R Foundation for Statistical Computing
Platform: i686-pc-linux-gnu (32-bit)

R is free software and comes with ABSOLUTELY NO WARRANTY.
You are welcome to redistribute it under certain conditions.
Type 'license()' or 'licence()' for distribution details.

R is a collaborative project with many contributors.
Type 'contributors()' for more information and
'citation()' on how to cite R or R packages in publications.

Type 'demo()' for some demos, 'help()' for on-line help, or
'help.start()' for an HTML browser interface to help.
Type 'q()' to quit R.

> x <- c(2.58,2.59,2.6,2.6,2.61,2.62,2.64,2.65,2.66,2.67,2.68,2.69,2.69,2.71,2.72,2.73,2.73,2.74,2.74,2.74,2.74,2.74,2.75,2.75,2.75,2.75,2.77,2.78,2.79,2.8,2.82,2.83,2.84,2.87,2.89,2.9,2.9,2.91,2.92,2.92,2.92,2.92,2.94,2.95,2.95,2.97,2.99,3,3,3.01,3.03,3.03,3.04,3.04,3.05,3.05,3.09,3.09,3.09,3.1,3.1,3.11,3.12,3.12,3.12,3.13,3.15,3.16,3.16,3.18,3.19,3.19,3.2,3.21,3.26,3.27,3.28,3.29,3.29,3.3,3.3,3.31,3.31,3.31)
> 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/1yazm1400776934.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/2zgrg1400776934.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/3it5d1400776934.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  0.96463253  0.92856224  0.89183970  0.85445467  0.81616455
 [7]  0.77805142  0.74060589  0.70343848  0.66675146  0.63057010  0.59881817
[13]  0.56769832  0.53624466  0.50523107  0.47502654  0.44651088  0.41665521
[19]  0.38748218  0.35880460  0.32979321  0.29923952  0.26754809  0.23656459
[25]  0.20514615  0.17226128  0.13911845  0.10684550  0.07429954  0.04507565
[31]  0.01552819 -0.01214318 -0.03983471 -0.06694473 -0.09216841 -0.11448450
[37] -0.13573869 -0.15802950 -0.17938482 -0.19854559 -0.21693282 -0.23630609
[43] -0.25588676 -0.27255982 -0.28927834 -0.30690705 -0.32341307 -0.33789129
[49] -0.35115590
> (mypacf <- c(rpacf$acf))
 [1]  0.964632530 -0.028116911 -0.028000858 -0.028785819 -0.032966486
 [6] -0.018150199 -0.011545315 -0.017479932 -0.014992805 -0.015124781
[11]  0.041304816 -0.012310226 -0.026367575 -0.015638122 -0.010806616
[16]  0.003626535 -0.039110849 -0.011474571 -0.014125497 -0.026115416
[21] -0.040252082 -0.038911207 -0.014773158 -0.029902561 -0.045223862
[26] -0.028158694 -0.018059275 -0.032138050  0.020359343 -0.034575379
[31] -0.005375921 -0.032967643 -0.020591114 -0.003339288  0.009258801
[36] -0.014473776 -0.042207915 -0.016433024  0.006225642 -0.017387840
[41] -0.039012352 -0.031992844  0.012446086 -0.023326390 -0.038558450
[46] -0.010115707 -0.004173380 -0.009546108
> 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/4k63d1400776934.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/5uo6q1400776934.tab") 
> 
> try(system("convert tmp/1yazm1400776934.ps tmp/1yazm1400776934.png",intern=TRUE))
character(0)
> try(system("convert tmp/2zgrg1400776934.ps tmp/2zgrg1400776934.png",intern=TRUE))
character(0)
> try(system("convert tmp/3it5d1400776934.ps tmp/3it5d1400776934.png",intern=TRUE))
character(0)
> 
> 
> proc.time()
   user  system elapsed 
  1.525   0.318   1.863