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(91.16,91.17,91.17,91.38,92.68,92.72,92.79,92.81,92.81,92.81,92.81,92.81,92.81,92.82,92.82,92.88,93.38,93.89,94.1,94.18,94.3,94.31,94.36,94.38,94.38,94.5,94.57,94.89,96.71,97.57,97.88,97.97,98.4,98.51,98.46,98.46,98.48,98.6,98.6,98.71,99.13,99.2,99.3,100.18,101.37,101.77,102.28,102.38,102.35,103.23,105.37,106.62,107,107.24,107.31,107.35,107.42,107.58,107.64,107.64,107.68,108.51,110.37,111.31,111.57,111.66,111.69,111.9,111.95,112.04,112.13,112.14)
> 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/1tpxi1476876587.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/2jnwb1476876587.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/35ubr1476876587.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  0.963763214  0.923477671  0.881602398  0.839294352
 [6]  0.799221500  0.758642053  0.716685040  0.673523989  0.630211129
[11]  0.589297150  0.553585127  0.518419565  0.480351607  0.440186727
[16]  0.398922204  0.357005945  0.315066645  0.273047178  0.229921737
[21]  0.186393711  0.143432529  0.103290696  0.068768752  0.035825835
[26]  0.001227248 -0.033746519 -0.067417044 -0.099417686 -0.123079374
[31] -0.141947156 -0.160204010 -0.178433764 -0.194840920 -0.212191425
[36] -0.231584757 -0.251695771 -0.272317364 -0.292973031 -0.314059964
[41] -0.335041644 -0.354085336 -0.373027860 -0.391011604 -0.403911319
[46] -0.407599101 -0.409972796 -0.412112743 -0.414409699
> (mypacf <- c(rpacf$acf))
 [1]  0.963763214 -0.075348881 -0.040342243 -0.026182667  0.009574374
 [6] -0.032613766 -0.042950410 -0.039526338 -0.024415497  0.007971048
[11]  0.043843544 -0.024872603 -0.068145056 -0.050146384 -0.034891764
[16] -0.037583808 -0.035557757 -0.036036267 -0.047108433 -0.033149895
[21] -0.020675726  0.001692982  0.033245413 -0.023304624 -0.061776574
[26] -0.037428256 -0.012020972 -0.015318772  0.075056357  0.025060580
[31] -0.024365576 -0.021433940  0.013751265 -0.044732375 -0.075253104
[36] -0.051225599 -0.037939370 -0.028298562 -0.028283471 -0.030168910
[41] -0.019930705 -0.046888239 -0.027255802  0.029805739  0.088742631
[46] -0.029281497 -0.040333242 -0.032136517
> 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/48mnt1476876587.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/5m16w1476876587.tab") 
> 
> try(system("convert tmp/1tpxi1476876587.ps tmp/1tpxi1476876587.png",intern=TRUE))
character(0)
> try(system("convert tmp/2jnwb1476876587.ps tmp/2jnwb1476876587.png",intern=TRUE))
character(0)
> try(system("convert tmp/35ubr1476876587.ps tmp/35ubr1476876587.png",intern=TRUE))
character(0)
> 
> 
> proc.time()
   user  system elapsed 
  1.112   0.102   1.226