R version 3.3.3 (2017-03-06) -- "Another Canoe"
Copyright (C) 2017 The R Foundation for Statistical Computing
Platform: x86_64-pc-linux-gnu (64-bit)

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> x <- c(88,90,82,75,79,70,71,75,89,92,94,90,102,98,100,98,100,91,93,92,106,109,108,108,118,119,124,118,119,113,114,115,125,125,118,122,132,133,136,128,126,114,108,107,117,119,113,114,124,125,124,118,111,99,94,93,107,107,103,97,103,107,104,101,92,85,83,77,90,87,87,78)
> 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. 1.2.327 (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/1xjg21489776416.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/2wos61489776416.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/3hco01489776416.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  0.90015191  0.80149573  0.69206197  0.62991139  0.53715359
 [7]  0.46699855  0.39691568  0.36119732  0.32569984  0.33790109  0.36500682
[13]  0.37246443  0.27823915  0.17118485  0.06973368  0.01176466 -0.07751361
[19] -0.15562937 -0.22878280 -0.26547219 -0.29834963 -0.28875749 -0.26194919
[25] -0.24037879 -0.28751554 -0.35218337 -0.40028021 -0.42036581 -0.46817179
[31] -0.50238111 -0.53110322 -0.52364560 -0.51427216 -0.46142094 -0.39806768
[37] -0.32844864 -0.30874595 -0.30617412 -0.29158684 -0.26142805 -0.25948170
[43] -0.25718324 -0.26026702 -0.23506180 -0.20775049 -0.14467718 -0.08216592
[49] -0.01592800
> (mypacf <- c(rpacf$acf))
 [1]  0.900151906 -0.046265116 -0.111657818  0.187259111 -0.208586360
 [6]  0.049679782  0.018657531  0.052094392  0.030210595  0.208889031
[11]  0.125250871 -0.164207293 -0.502703323 -0.180822022 -0.027743368
[16]  0.128896271 -0.029236992 -0.005365995  0.012567733 -0.046928911
[21] -0.113702150 -0.075661270 -0.004167006  0.054621416 -0.060271478
[26] -0.114952581 -0.025100623 -0.047828730 -0.085480031  0.101004152
[31]  0.025421624  0.014682982 -0.038757792  0.010184181 -0.063945782
[36] -0.002711666  0.059386581 -0.034506898  0.048319644 -0.002368221
[41] -0.088299654 -0.000453377 -0.097752480  0.006911471  0.065209049
[46]  0.072433535 -0.067361436 -0.105991912
> 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/4p8su1489776416.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/5s23f1489776416.tab") 
> 
> try(system("convert tmp/1xjg21489776416.ps tmp/1xjg21489776416.png",intern=TRUE))
character(0)
> try(system("convert tmp/2wos61489776416.ps tmp/2wos61489776416.png",intern=TRUE))
character(0)
> try(system("convert tmp/3hco01489776416.ps tmp/3hco01489776416.png",intern=TRUE))
character(0)
> 
> 
> proc.time()
   user  system elapsed 
  1.355   0.092   1.471