R version 3.3.1 (2016-06-21) -- "Bug in Your Hair"
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Platform: x86_64-pc-linux-gnu (64-bit)

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> x <- c(89.8,101.7,92.7,116.2,134.2,153.3,129.7,137.6,158.8,197.1,171.1,184.4,216.6,219.3,184.2,205.3,216.8,219.4,172.1,165.3,178.9,163,116.2,121.8,124.1,125.7,81.8,94.8,121.5,136.3,109.6,120.7,154.1,154.4,153.3,157.3,192.1,223,220.6,221.7,239.2,251.2,238.3,240.6,250.3,256.7,239.2,189.9,155.9,138.4,124.7,119.4,116,124.9,123.4,124.4,135.5,143.6,130.6,116.6,118.2,116.1,106,94.9,97.1,96.8,93.7,91,105.7,112.9,112.1,112.9,127,136.5,130.9,136.3)
> 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. 1.2.327 (Mon, 30 Nov 2015 06:58:35 +0000)
> #Author: root
> #To cite this work: Wessa P., (2015), (Partial) Autocorrelation Function (v1.0.12) 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)
> x <- na.omit(x)
> 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/1ehf71476977671.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/20z3k1476977671.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/30ow01476977671.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]  1.000000000  0.170669966 -0.218387780  0.054721945  0.620085021
 [6]  0.002033522 -0.365250565 -0.105203813  0.443500925 -0.119626220
[11] -0.477151574 -0.186622440  0.317278155 -0.137040708 -0.373709644
[16] -0.203707153  0.255842333 -0.057873938 -0.338198278 -0.164301140
[21]  0.212011452 -0.023405790 -0.201544891 -0.085936352  0.233776898
[26]  0.122459701 -0.086018671 -0.021973561  0.274456419  0.188646905
[31] -0.073599760 -0.039494401  0.165786659  0.135614336 -0.058772112
[36] -0.089472496  0.114524412  0.084318048 -0.122496505 -0.121065937
[41]  0.075955056  0.104039706 -0.089031116 -0.110631486  0.033332543
[46]  0.035447343 -0.114499307 -0.093211306  0.056839175
> (mypacf <- c(rpacf$acf))
 [1]  0.170669966 -0.254942029  0.159740310  0.582999923 -0.323242138
 [6] -0.187394928 -0.072838099  0.154956491 -0.225163996 -0.161445574
[11] -0.031982169 -0.033614629 -0.062194129  0.128285026 -0.223524661
[16] -0.088352652  0.079155222 -0.153301460 -0.053459645 -0.132123566
[21] -0.042162269  0.054655528 -0.007484516  0.003734649  0.066365286
[26] -0.049066599  0.049127060  0.040209379  0.036046653 -0.164771015
[31] -0.006914399 -0.005194841 -0.071189175  0.138346519  0.007080887
[36] -0.027950224 -0.026222717 -0.011086247  0.002767389  0.035585914
[41]  0.080041752 -0.023254484  0.010856261  0.025787516 -0.154483174
[46]  0.060526877  0.105999091 -0.030306271
> 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/48u841476977671.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/5zadn1476977671.tab") 
> 
> try(system("convert tmp/1ehf71476977671.ps tmp/1ehf71476977671.png",intern=TRUE))
character(0)
> try(system("convert tmp/20z3k1476977671.ps tmp/20z3k1476977671.png",intern=TRUE))
character(0)
> try(system("convert tmp/30ow01476977671.ps tmp/30ow01476977671.png",intern=TRUE))
character(0)
> 
> 
> proc.time()
   user  system elapsed 
  1.429   0.099   1.562