R version 3.0.2 (2013-09-25) -- "Frisbee Sailing"
Copyright (C) 2013 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(44.91,44.86,44.76,44.89,44.89,45,45.01,45.11,45.05,44.67,44.48,44.48,44.48,44.58,44.79,44.79,44.41,44.41,44.44,44.43,44.36,44.39,44.39,44.41,44.32,44.43,44.82,44.97,44.91,44.79,44.76,44.8,44.65,44.49,44.56,44.4,44.45,44.46,44.39,44.5,44.44,44.41,44.4,44.42,44.49,44.46,44.49,44.5,44.5,44.5,44.55,44.53,44.49,44.49,44.62,44.59,44.56,44.57,44.04,44.06,44.07,44.1,44.21,44.48,44.51,44.24,44.25,44.27,44.45,44.39,44.23,44.23)
> 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. 1.2.291 ()
> #Author: root
> #To cite this work: Wessa P., (2012), (Partial) Autocorrelation Function (v1.0.11) 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)
> 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/1zr101414091188.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/2a5q41414091188.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/3jlm71414091188.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  0.815161125  0.591247909  0.446684081  0.337379363
 [6]  0.261697746  0.209344159  0.179958593  0.114404982  0.032009569
[11] -0.021447577 -0.010693900  0.015082371  0.009393248 -0.037517838
[16] -0.071742191 -0.089946949 -0.049180354  0.019813229  0.081207949
[21]  0.141269187  0.178766786  0.222689770  0.262244568  0.254875735
[26]  0.245985180  0.214319551  0.137988505  0.056568916 -0.018322427
[31] -0.102080566 -0.166118505 -0.207631797 -0.200737384 -0.175440117
[36] -0.146769986 -0.094494169 -0.084790268 -0.097869173 -0.102994247
[41] -0.076641153 -0.033252637 -0.010355772 -0.047427598 -0.070066091
[46] -0.038484955  0.005905268  0.022716926  0.049064977
> (mypacf <- c(rpacf$acf))
 [1]  0.815161125 -0.218292272  0.117225677 -0.048603048  0.044217473
 [6] -0.001074394  0.043005225 -0.142718622 -0.040598104 -0.003137484
[11]  0.125149992 -0.011186399 -0.049832116 -0.124823842  0.045098658
[16] -0.020457565  0.185008521  0.003009205  0.055460573  0.062882909
[21]  0.073478275  0.109166655  0.041760922 -0.135856082  0.070332394
[26] -0.086328488 -0.051151713 -0.068289541 -0.091555186 -0.188527932
[31]  0.029337251 -0.072341972  0.152716092 -0.038102124  0.085446459
[36]  0.095523321 -0.046517803 -0.017431198  0.049858958 -0.036844620
[41]  0.064973723 -0.098315370 -0.239726729  0.024721142  0.042038946
[46] -0.021667435 -0.050677982  0.006670774
> 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/46w3x1414091188.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/5yvmz1414091188.tab") 
> 
> try(system("convert tmp/1zr101414091188.ps tmp/1zr101414091188.png",intern=TRUE))
character(0)
> try(system("convert tmp/2a5q41414091188.ps tmp/2a5q41414091188.png",intern=TRUE))
character(0)
> try(system("convert tmp/3jlm71414091188.ps tmp/3jlm71414091188.png",intern=TRUE))
character(0)
> 
> 
> proc.time()
   user  system elapsed 
  1.165   0.206   1.387