R version 3.0.3 (2014-03-06) -- "Warm Puppy"
Copyright (C) 2014 The R Foundation for Statistical Computing
Platform: i686-pc-linux-gnu (32-bit)

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> x <- c(449,446,447,451,465,460,433,431,437,442,449,450,435,431,434,439,455,452,426,428,433,438,442,446,442,436,444,454,469,471,443,437,444,451,457,460,454,439,441,446,459,456,433,424,430,428,424,419,409,397,397,401,413,413,390,385,397,398,406,412,409,404,412,418,434,431,406,416,424,427,438,444,442,443,453,471,476,476,461,462,460,463,467,468)
> 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/1otag1395070343.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/2mqvn1395070343.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/3x5l01395070343.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  0.21941105 -0.39278909 -0.32230695 -0.17859483  0.20826728
 [7]  0.48218542  0.21335358 -0.16979955 -0.35620992 -0.37884992  0.18367008
[13]  0.73885067  0.12875609 -0.38650934 -0.30128391 -0.17377739  0.14662417
[19]  0.33406651  0.16364928 -0.19465917 -0.37216085 -0.34033479  0.13611969
[25]  0.55853155  0.10745409 -0.34475894 -0.28559728 -0.16493931  0.11444272
[31]  0.26053587  0.14750347 -0.13679695 -0.26090952 -0.21927804  0.14324342
[37]  0.44889729  0.07874527 -0.25758305 -0.16592959 -0.08039793  0.11262993
[43]  0.22043184  0.10467849 -0.11553067 -0.18805785 -0.14251417  0.09078886
[49]  0.35728260
> (mypacf <- c(rpacf$acf))
 [1]  2.194110e-01 -4.632308e-01 -1.264896e-01 -3.157115e-01  1.825758e-01
 [6]  2.570681e-01  2.027444e-01  1.181889e-01 -8.052418e-02 -3.678127e-01
[11]  9.860100e-02  4.727017e-01 -2.246107e-01 -4.791079e-02  2.100148e-03
[16]  1.192100e-02 -7.393286e-02 -2.420724e-01  3.931330e-02 -1.610502e-01
[21] -1.222515e-02 -1.253285e-01 -6.329837e-02  1.726595e-02  5.710678e-02
[26] -1.757262e-02 -4.880064e-02 -5.373355e-02  2.738955e-02 -1.133253e-01
[31] -5.808128e-02  1.773964e-03  2.138360e-01  7.768616e-02  9.626598e-02
[36] -1.141053e-02 -2.159058e-02 -1.427189e-05  3.799726e-02 -9.351993e-02
[41] -4.169751e-02  2.977730e-03  2.712847e-03 -1.078070e-01 -2.689623e-02
[46] -4.998872e-02 -1.055878e-01 -8.480347e-05
> 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/40m0c1395070344.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/5nuaz1395070344.tab") 
> 
> try(system("convert tmp/1otag1395070343.ps tmp/1otag1395070343.png",intern=TRUE))
character(0)
> try(system("convert tmp/2mqvn1395070343.ps tmp/2mqvn1395070343.png",intern=TRUE))
character(0)
> try(system("convert tmp/3x5l01395070343.ps tmp/3x5l01395070343.png",intern=TRUE))
character(0)
> 
> 
> proc.time()
   user  system elapsed 
  2.859   0.635   3.489