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 = '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/1wsy51395070135.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/2rmq81395070135.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/37iwe1395070135.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  0.87844405  0.71153764  0.63154779  0.62167436  0.64403612
 [7]  0.62417498  0.49716363  0.32482476  0.19078494  0.14591638  0.18806853
[13]  0.19142536  0.03962110 -0.13370036 -0.21629610 -0.23346364 -0.21177016
[19] -0.21218809 -0.29623570 -0.41843545 -0.48752845 -0.47353545 -0.38126866
[25] -0.32325463 -0.38584301 -0.46455580 -0.46526138 -0.40685059 -0.30767033
[31] -0.23721986 -0.23221896 -0.25681298 -0.24440049 -0.17481513 -0.05985637
[37]  0.01404464 -0.01420418 -0.05860656 -0.05169906 -0.01241224  0.04501161
[43]  0.07206688  0.04035636 -0.01363263 -0.03441345 -0.01039956  0.04684699
[49]  0.07382290
> (mypacf <- c(rpacf$acf))
 [1]  0.878444053 -0.263323802  0.344594640  0.108205285  0.198673547
 [6] -0.121142673 -0.344565642 -0.212696867 -0.208314501  0.075723610
[11]  0.290588545 -0.019780500 -0.436477098  0.049834716  0.044483710
[16] -0.109736222 -0.037843983 -0.027084472 -0.007610789 -0.044404800
[21]  0.056882815 -0.074978518  0.103754313 -0.001158384 -0.070519084
[26] -0.026645454 -0.013942417  0.013711436  0.034054307 -0.091702772
[31]  0.167087717  0.062293698 -0.002695119 -0.099459022 -0.096173073
[36] -0.055877623 -0.079460927 -0.012924730 -0.091016699 -0.057452989
[41] -0.006173027 -0.022554031 -0.014887042 -0.037437036  0.055728635
[46] -0.032631867 -0.007929440  0.010701541
> 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/451co1395070135.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/570e01395070135.tab") 
> 
> try(system("convert tmp/1wsy51395070135.ps tmp/1wsy51395070135.png",intern=TRUE))
character(0)
> try(system("convert tmp/2rmq81395070135.ps tmp/2rmq81395070135.png",intern=TRUE))
character(0)
> try(system("convert tmp/37iwe1395070135.ps tmp/37iwe1395070135.png",intern=TRUE))
character(0)
> 
> 
> proc.time()
   user  system elapsed 
  2.339   0.429   2.778