R version 3.2.3 (2015-12-10) -- "Wooden Christmas-Tree"
Copyright (C) 2015 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(45564.6,47295.5,46465.5,50679.5,47452.8,49415.4,48165.3,51814,49030.7,50820.8,49729.5,53501.6,50524.9,52095,51290.3,55064,52505.2,54318.3,53039.6,57607.6,54236.4,56586.4,55614,60085.9,56963.5,59152.8,57804.6,62541.5,59449.3,61704.7,60399,65724.7,62679.4,65526.5,64274.8,68769.1,63542.8,66198,64544.9,71041.8,66087.2,69005.8,66897,73702,68485.3,71457,69774.6,76479.7,71204.7,73783.9,71651,78541.6,72714.4,75258,73168.1,79701.6,73944.5,76401.2,73948.1,80583.3)
> 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/1eye51457982314.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/25y2t1457982314.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/36e531457982314.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]  1.0000000 -0.8170760  0.6694858 -0.8116124  0.9133598 -0.7504414
 [7]  0.6167225 -0.7460047  0.8368811 -0.6845057  0.5617872 -0.6788812
[13]  0.7584380 -0.6198154  0.5155939 -0.6155257  0.6844490 -0.5564999
[19]  0.4592341 -0.5446694  0.5995791 -0.4846425  0.4034344 -0.4770585
[25]  0.5177267 -0.4329371  0.3547830 -0.4134298  0.4675408 -0.3803951
[31]  0.3115603 -0.3647302  0.4109318 -0.3338933  0.2698738 -0.3214114
[37]  0.3509289 -0.2794702  0.2289134 -0.2650046  0.2846767 -0.2219553
[43]  0.1767415 -0.2051438  0.2200930 -0.1695279  0.1386515 -0.1605115
[49]  0.1620135
> (mypacf <- c(rpacf$acf))
 [1] -0.817076018  0.005633738 -0.791483180  0.302919706  0.190509845
 [6] -0.340098498 -0.080891228  0.127530981 -0.082842993 -0.176985311
[11]  0.031545374 -0.031706586 -0.150628075  0.005487975  0.057420533
[16] -0.096158975  0.008838812 -0.002474321  0.009355408 -0.081989589
[21]  0.006752040  0.064977296 -0.027122854 -0.066879061 -0.134127766
[26] -0.128214937 -0.109019405  0.031479137  0.071744528 -0.019185752
[31]  0.022086604  0.046375575  0.014347909  0.010771968 -0.006102758
[36] -0.134850628 -0.005334830  0.048045210  0.066820027 -0.025488060
[41]  0.094967694  0.017742310 -0.004879296  0.050056939  0.002468708
[46]  0.087490374  0.055638104 -0.067883995
> 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/4p5091457982314.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/57gpi1457982314.tab") 
> 
> try(system("convert tmp/1eye51457982314.ps tmp/1eye51457982314.png",intern=TRUE))
character(0)
> try(system("convert tmp/25y2t1457982314.ps tmp/25y2t1457982314.png",intern=TRUE))
character(0)
> try(system("convert tmp/36e531457982314.ps tmp/36e531457982314.png",intern=TRUE))
character(0)
> 
> 
> proc.time()
   user  system elapsed 
  1.082   0.238   1.333