R version 3.2.2 (2015-08-14) -- "Fire Safety"
Copyright (C) 2015 The R Foundation for Statistical Computing
Platform: x86_64-pc-linux-gnu (64-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(173019,173690,172439,171914,171968,169500,173898,172308,171568,164939,161275,160770,162466,160185,154836,154103,150495,142707,149962,149967,144572,143819,141070,144119,145330,143279,139063,139202,133632,134476,141859,140693,138047,138346,140167,146796,152228,155410,159032,160312,157687,160141,167421,167628,164403,163405,163229,171154,173323,172381,168983,165380,161641,161933,172018,168455,164332,161193,157645,161694,163411,161834,159511,156359,154223,151497,160607,159672,155601,154668,153960,157307,165218,165616,162212,159787,157454,156485,165887,166836,163541,163973,164805,167521,174347,173374,172198,171055,168385,167281,177670,177280,174846,174476,174595,178392,185345,183293,181081,177795,173552,170734,179293,178659,175894,174815,173506,175376)
> 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/1bnoo1445439478.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/24o3v1445439478.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/3zxam1445439478.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  0.93902039  0.86603588  0.81758812  0.78398167  0.76674829
 [7]  0.73230946  0.64894400  0.54701832  0.45927695  0.39558250  0.36369626
[13]  0.32121305  0.21198239  0.10543880  0.03406132 -0.01552037 -0.03814652
[19] -0.06647780 -0.12769265 -0.19791015 -0.24245145 -0.25512263 -0.23307421
[25] -0.21861354 -0.25224767 -0.28313295 -0.28023495 -0.25183709 -0.19705425
[31] -0.14965593 -0.12924526 -0.12082994 -0.09507462 -0.04955822  0.01161194
[37]  0.06055834  0.06350173  0.06033477  0.07590410  0.10252129  0.14119331
[43]  0.16412926  0.16153383  0.13893743  0.12938708  0.13234604  0.14528824
[49]  0.14721645
> (mypacf <- c(rpacf$acf))
 [1]  0.939020394 -0.132978108  0.181582382  0.056753040  0.145474332
 [6] -0.158672385 -0.367167253 -0.209469921 -0.083086760  0.011490538
[11]  0.197693229 -0.012692297 -0.452556778  0.095023244  0.166219888
[16]  0.011719679  0.029865902  0.001804630  0.020865555 -0.037313951
[21]  0.057996855  0.006803497  0.063351065  0.027131426 -0.082385395
[26] -0.017657841  0.079812950  0.096900388  0.050079337 -0.002398888
[31]  0.117278271  0.014452658 -0.014590791 -0.121124919 -0.134146317
[36]  0.013976559 -0.059946002 -0.030306794 -0.043485198 -0.017125881
[41]  0.043924112 -0.004919830  0.106316315 -0.064485081  0.072463290
[46] -0.050015560 -0.007413364 -0.017543901
> 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/4h1261445439478.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/580ro1445439478.tab") 
> 
> try(system("convert tmp/1bnoo1445439478.ps tmp/1bnoo1445439478.png",intern=TRUE))
character(0)
> try(system("convert tmp/24o3v1445439478.ps tmp/24o3v1445439478.png",intern=TRUE))
character(0)
> try(system("convert tmp/3zxam1445439478.ps tmp/3zxam1445439478.png",intern=TRUE))
character(0)
> 
> 
> proc.time()
   user  system elapsed 
  1.082   0.222   1.313