R version 3.3.0 (2016-05-03) -- "Supposedly Educational"
Copyright (C) 2016 The R Foundation for Statistical Computing
Platform: x86_64-pc-linux-gnu (64-bit)

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> x <- c(7.3,7.1,6.8,6.4,6.1,6.5,7.7,7.9,7.5,6.9,6.6,6.9,7.7,8,8,7.7,7.3,7.4,8.1,8.3,8.1,7.9,7.9,8.3,8.6,8.7,8.5,8.3,8,8,8.8,8.7,8.5,8.1,7.8,7.7,7.5,7.2,6.9,6.6,6.5,6.6,7.7,8,7.7,7.3,7,7,7.3,7.3,7.1,7.1,7,7,7.5,7.8,7.9,8.1,8.3,8.4,8.6,8.5,8.4,8.3,8,8,8.7,8.7,8.6,8.5,8.5,8.6,8.8,8.7,8.6,8.4,8.1,8.1,8.7,8.7,8.6,8.6,8.5,8.6)
> 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/1jquc1464637576.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/2x9cb1464637576.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/34xcg1464637576.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  0.37597080 -0.28122076 -0.49793190 -0.33528191  0.13006982
 [7]  0.45757939  0.21446025 -0.16502830 -0.36237780 -0.29456810  0.12830230
[13]  0.55038553  0.17060497 -0.24250300 -0.29798566 -0.17554439  0.13335262
[19]  0.32004913  0.08641401 -0.20949575 -0.34911583 -0.28713365  0.08637409
[25]  0.42754472  0.11803738 -0.19180006 -0.25505276 -0.11736342  0.11704525
[31]  0.28882377  0.08946828 -0.16501392 -0.27634697 -0.18235779  0.13780071
[37]  0.46988089  0.19326929 -0.13336516 -0.22517152 -0.15103913  0.03189932
[43]  0.19146415  0.11833383 -0.04884961 -0.11220388 -0.10268222  0.03589586
[49]  0.22255428
> (mypacf <- c(rpacf$acf))
 [1]  0.375970797 -0.492140911 -0.238421561 -0.204521730  0.140959056
 [6]  0.165363691 -0.148381773 -0.037330785 -0.107308979 -0.120286498
[11]  0.135905917  0.318164125 -0.392422011  0.066303080  0.160077993
[16] -0.043379433 -0.043407736 -0.034141014 -0.025675579 -0.140962345
[21] -0.171700986 -0.127475387 -0.034084972 -0.061171782 -0.206186584
[26]  0.027643555 -0.142334276  0.076729303 -0.160496619  0.052514890
[31] -0.102688325 -0.118308858 -0.069992888  0.002502655 -0.041726954
[36]  0.177377693  0.026845850  0.045827853  0.104326935 -0.041340528
[41] -0.106799216 -0.152627946 -0.015165413 -0.089733512  0.026842759
[46] -0.062124133 -0.067276580 -0.123508033
> 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/4pd441464637576.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/56ks21464637576.tab") 
> 
> try(system("convert tmp/1jquc1464637576.ps tmp/1jquc1464637576.png",intern=TRUE))
character(0)
> try(system("convert tmp/2x9cb1464637576.ps tmp/2x9cb1464637576.png",intern=TRUE))
character(0)
> try(system("convert tmp/34xcg1464637576.ps tmp/34xcg1464637576.png",intern=TRUE))
character(0)
> 
> 
> proc.time()
   user  system elapsed 
  1.165   0.166   1.338