R version 3.2.4 (2016-03-10) -- "Very Secure Dishes"
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Platform: x86_64-pc-linux-gnu (64-bit)

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> x <- c(726,784,884,696,893,674,703,799,793,799,1022,758,1021,944,915,864,1022,891,1087,822,890,1092,967,833,1104,1063,1103,1039,1185,1047,1155,878,879,1133,920,943,938,900,781,1040,792,653,866,679,799,760,699,762,671,679,862,624,516,650,583,444,562,540,524,674)
> 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/1z3hi1458076369.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/22xhk1458076369.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/3pds21458076369.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  0.628856614  0.652338535  0.691973620  0.552611057
 [6]  0.472761341  0.512453557  0.309027713  0.363593641  0.315053311
[11]  0.200211888  0.231651728  0.205059302  0.020122158  0.121137528
[16]  0.005486246 -0.076966775 -0.061510820 -0.132031707 -0.268962165
[21] -0.217459788 -0.254164000 -0.350420654 -0.303999318 -0.350071829
[26] -0.408613438 -0.325200494 -0.402350675 -0.424785079 -0.330358535
[31] -0.383041005 -0.348338745 -0.223565465 -0.272549057 -0.234503744
[36] -0.144314500 -0.179340687 -0.149144975 -0.100904982 -0.158799992
[41] -0.075769812 -0.087389519 -0.090887708 -0.038674621 -0.035617045
[46] -0.034601992  0.026322026  0.029034315  0.055324161
> (mypacf <- c(rpacf$acf))
 [1]  0.628856614  0.424915087  0.381210973 -0.029600662 -0.194413466
 [6]  0.043508789 -0.250979335  0.117154650  0.041011880 -0.049764535
[11]  0.058227166 -0.021671131 -0.256590623  0.018521834 -0.099758652
[16] -0.024495406 -0.024809076 -0.051438824 -0.181998185 -0.135818107
[21]  0.173907922 -0.070826763  0.020792640 -0.025028134 -0.131996635
[26]  0.024313285 -0.044795911 -0.052513818  0.104387551  0.043380516
[31]  0.133055443  0.101101872 -0.001459823 -0.039701911 -0.136657275
[36]  0.052671362 -0.087068374 -0.086627720 -0.022290116  0.039034251
[41] -0.070418652  0.017911613 -0.065875082 -0.093976652  0.055391416
[46] -0.014119817 -0.020839081  0.050385994
> 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/4348a1458076369.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/5vk6s1458076369.tab") 
> 
> try(system("convert tmp/1z3hi1458076369.ps tmp/1z3hi1458076369.png",intern=TRUE))
character(0)
> try(system("convert tmp/22xhk1458076369.ps tmp/22xhk1458076369.png",intern=TRUE))
character(0)
> try(system("convert tmp/3pds21458076369.ps tmp/3pds21458076369.png",intern=TRUE))
character(0)
> 
> 
> proc.time()
   user  system elapsed 
  1.219   0.218   1.452