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)

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> x <- c(24158,24359,24628,25021,25315,25481,26043,26207,26466,26276,26236,26211,26265,25996,25794,25752,25491,25092,25759,25624,25138,25042,25014,25244,25493,25269,25170,25332,24966,24851,25518,25403,25028,24895,24905,25317,25718,25822,25967,25907,25940,26247,26900,26980,26677,26701,26808,27469,27586,27567,27508,27444,27380,27500,28217,28355,27627,27565,27496,27453,27705,27462,27152,27016,26836,26722,27391,27139,26644,26455,26294,26437,26954,26620,26307,26003,25798,25603,26242,26051,25658,25489,25425,25183,24774,24977,24980,25081,25240,25419,26309,26600,26690,26889,27109,27646,28330,28332,28202,28163,28077,28351,28950,28972,28812,28979,29112,29139)
> par8 = ''
> par7 = '0.95'
> par6 = 'White Noise'
> par5 = '12'
> par4 = '0'
> par3 = '0'
> par2 = '1'
> par1 = '36'
> par8 <- ''
> par7 <- '0.95'
> par6 <- 'White Noise'
> par5 <- '12'
> par4 <- '0'
> par3 <- '0'
> par2 <- '1'
> par1 <- '36'
> #'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/1q5vo1445529267.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/20ncc1445529267.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/3fz0f1445529267.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  0.92586401  0.83899230  0.76682007  0.70158549  0.63695366
 [7]  0.56188198  0.47838651  0.39411999  0.31759490  0.24714980  0.19087685
[13]  0.13026682  0.05176157 -0.01966143 -0.07232823 -0.11255653 -0.14696604
[19] -0.18599341 -0.21149072 -0.23885002 -0.26008577 -0.26423836 -0.24828744
[25] -0.22573531 -0.23240634 -0.24514756 -0.23733576 -0.21803118 -0.20207470
[31] -0.18886376 -0.16588745 -0.15220330 -0.13696374 -0.11868258 -0.09230872
[37] -0.06850347
> (mypacf <- c(rpacf$acf))
 [1]  0.9258640142 -0.1276958064  0.0645297938 -0.0103494623 -0.0313161940
 [6] -0.1080549886 -0.0932853144 -0.0654614562 -0.0173486980 -0.0287630563
[11]  0.0521974534 -0.0834712505 -0.1551778813 -0.0046059174  0.0296949746
[16] -0.0003655376 -0.0051167194 -0.0575377566  0.0746636077 -0.0966533076
[21] -0.0014902812  0.0544973183  0.0914513432  0.0372526121 -0.1941754860
[26] -0.0457840390  0.0741350142 -0.0100436907 -0.0315848482  0.0050073012
[31]  0.0899980754 -0.0742040553 -0.0024199976 -0.0200747274  0.0342117031
[36] -0.0207692026
> 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/498qa1445529268.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/526zt1445529268.tab") 
> 
> try(system("convert tmp/1q5vo1445529267.ps tmp/1q5vo1445529267.png",intern=TRUE))
character(0)
> try(system("convert tmp/20ncc1445529267.ps tmp/20ncc1445529267.png",intern=TRUE))
character(0)
> try(system("convert tmp/3fz0f1445529267.ps tmp/3fz0f1445529267.png",intern=TRUE))
character(0)
> 
> 
> proc.time()
   user  system elapsed 
  1.306   0.255   1.567