R version 3.3.2 (2016-10-31) -- "Sincere Pumpkin Patch"
Copyright (C) 2016 The R Foundation for Statistical Computing
Platform: x86_64-pc-linux-gnu (64-bit)

R is free software and comes with ABSOLUTELY NO WARRANTY.
You are welcome to redistribute it under certain conditions.
Type 'license()' or 'licence()' for distribution details.

R is a collaborative project with many contributors.
Type 'contributors()' for more information and
'citation()' on how to cite R or R packages in publications.

Type 'demo()' for some demos, 'help()' for on-line help, or
'help.start()' for an HTML browser interface to help.
Type 'q()' to quit R.

> x <- c(74.16,73.21,77.14,80.9,82.76,83.33,81.94,82.38,82.81,83.17,84.07,87.33,90.75,92.82,97.78,99.32,98.33,98.66,98.13,97.8,99.36,100.37,103.22,101.68,104.39,103.99,106.71,106.06,103.5,100.17,101.1,105.93,108.09,107.27,104.9,102.7,102.06,103.05,102.08,100.13,97.56,97.38,99.66,99.58,102.7,98.92,97.85,99.01,97.71,97.95,97.24,96.69,96.41,96.99,98.36,97.8,96.79,94.73,92.67,87.15,79.54,82.35,86.38,84.75,87.54,86.73,84.74,80.75,79.28,78.52,78.54,77.33)
> 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/138401489660158.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/2hf3m1489660158.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/3wmyr1489660158.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  0.91893539  0.81867722  0.72860247  0.65735438  0.60209792
 [7]  0.55845914  0.51156299  0.45940627  0.39550712  0.32962321  0.24035298
[13]  0.13724874  0.05169080 -0.01133045 -0.04705064 -0.06892942 -0.08502513
[19] -0.10305144 -0.13185899 -0.16555491 -0.20449322 -0.23971853 -0.27025257
[25] -0.30579604 -0.32734950 -0.34688939 -0.34763669 -0.33763976 -0.34175381
[31] -0.35611438 -0.38080694 -0.39486524 -0.39802440 -0.39656928 -0.39377966
[37] -0.39404769 -0.38489908 -0.36191743 -0.33327478 -0.31008626 -0.30523789
[43] -0.31239366 -0.31637274 -0.30549317 -0.27588536 -0.24498083 -0.21164077
[49] -0.16821604
> (mypacf <- c(rpacf$acf))
 [1]  0.918935388 -0.165630000  0.025705050  0.055132371  0.039307133
 [6]  0.031752114 -0.048223334 -0.038520058 -0.091916589 -0.037240211
[11] -0.213569779 -0.148582485  0.020221973  0.005066386  0.076189333
[16]  0.018882416  0.042944464  0.019614271 -0.038177982 -0.028001911
[21] -0.076916899 -0.019468286 -0.086200619 -0.166724524 -0.018513245
[26] -0.106417990  0.095653311  0.043473195 -0.067734823 -0.001754308
[31] -0.068787273  0.061534941 -0.043684756 -0.032218719 -0.076143345
[36] -0.108295538  0.015710847 -0.034164131  0.047622071 -0.017318720
[41] -0.083075416 -0.061242828 -0.071862298  0.048992201  0.022424828
[46] -0.028581587  0.013752494  0.039480163
> 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/4knxa1489660158.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/5yark1489660158.tab") 
> 
> try(system("convert tmp/138401489660158.ps tmp/138401489660158.png",intern=TRUE))
character(0)
> try(system("convert tmp/2hf3m1489660158.ps tmp/2hf3m1489660158.png",intern=TRUE))
character(0)
> try(system("convert tmp/3wmyr1489660158.ps tmp/3wmyr1489660158.png",intern=TRUE))
character(0)
> 
> 
> proc.time()
   user  system elapsed 
  1.385   0.115   1.545