R version 3.3.1 (2016-06-21) -- "Bug in Your Hair"
Copyright (C) 2016 The R Foundation for Statistical Computing
Platform: x86_64-pc-linux-gnu (64-bit)

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> x <- c(36439.00
+ ,36368.00
+ ,36290.00
+ ,36147.00
+ ,37615.00
+ ,37543.00
+ ,36439.00
+ ,35705.00
+ ,35777.00
+ ,35777.00
+ ,35848.00
+ ,35998.00
+ ,35998.00
+ ,35335.00
+ ,35043.00
+ ,35335.00
+ ,36368.00
+ ,36218.00
+ ,34822.00
+ ,33640.00
+ ,33419.00
+ ,32977.00
+ ,33276.00
+ ,33640.00
+ ,33497.00
+ ,33198.00
+ ,32614.00
+ ,33198.00
+ ,33718.00
+ ,33568.00
+ ,31873.00
+ ,31139.00
+ ,30405.00
+ ,29814.00
+ ,29743.00
+ ,30184.00
+ ,29593.00
+ ,29372.00
+ ,29151.00
+ ,30405.00
+ ,30548.00
+ ,29814.00
+ ,27826.00
+ ,26943.00
+ ,25547.00
+ ,24955.00
+ ,25247.00
+ ,25689.00
+ ,25689.00
+ ,25326.00
+ ,25247.00
+ ,26430.00
+ ,27385.00
+ ,26943.00
+ ,25468.00
+ ,24735.00
+ ,23189.00
+ ,22234.00
+ ,22968.00
+ ,23702.00
+ ,23702.00
+ ,22747.00
+ ,22676.00
+ ,23922.00
+ ,24735.00
+ ,24442.00
+ ,22968.00
+ ,22013.00
+ ,19947.00
+ ,19142.00
+ ,19434.00
+ ,20688.00
+ ,20759.00
+ ,18921.00
+ ,19584.00
+ ,21201.00
+ ,21935.00
+ ,21493.00
+ ,19506.00
+ ,18109.00
+ ,16492.00
+ ,15238.00
+ ,15751.00
+ ,16855.00
+ ,16563.00
+ ,14946.00
+ ,15459.00
+ ,17076.00
+ ,17960.00
+ ,17447.00
+ ,15459.00
+ ,14576.00
+ ,13251.00
+ ,11854.00
+ ,12075.00
+ ,13179.00
+ ,13322.00
+ ,11997.00
+ ,12218.00
+ ,14063.00
+ ,14504.00
+ ,13764.00
+ ,11042.00
+ ,9646.00
+ ,7801.00
+ ,5963.00
+ ,6554.00
+ ,7359.00
+ ,7217.00
+ ,5813.00
+ ,6625.00
+ ,8613.00
+ ,9496.00
+ ,9055.00
+ ,7288.00
+ ,5892.00
+ ,4417.00
+ ,2721.00
+ ,3021.00
+ ,3534.00)
> 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/10z301469793100.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/2gvj71469793100.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/3fye31469793100.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]  1.0000000000  0.9709045438  0.9360793061  0.9019584898  0.8732689108
 [6]  0.8459973707  0.8213666564  0.8018726427  0.7839957863  0.7650761868
[11]  0.7455143074  0.7257918087  0.7036067784  0.6726683341  0.6367769843
[16]  0.6011319847  0.5700297254  0.5413583774  0.5153569311  0.4962826414
[21]  0.4797168396  0.4632088058  0.4465535951  0.4302342194  0.4114922836
[26]  0.3852183933  0.3537041420  0.3232973617  0.2961371800  0.2712678642
[31]  0.2482868529  0.2310612319  0.2153684973  0.1996887041  0.1843413192
[36]  0.1690780731  0.1522965782  0.1304682396  0.1037621962  0.0768882837
[41]  0.0518558824  0.0300648262  0.0118451488 -0.0005044854 -0.0115055706
[46] -0.0215304303 -0.0314455563 -0.0420883368 -0.0532590383
> (mypacf <- c(rpacf$acf))
 [1]  0.9709045438 -0.1146813118  0.0041007584  0.0746545778 -0.0085045185
 [6]  0.0310567354  0.0773768189  0.0034040886 -0.0233268336 -0.0010939569
[11] -0.0063647944 -0.0512961979 -0.1528973447 -0.0788231376 -0.0172622193
[16]  0.0282242405 -0.0069321690  0.0090183563  0.0860706807  0.0055785393
[21]  0.0006466806  0.0227970862  0.0100192528 -0.0378288370 -0.1028815521
[26] -0.0696989227 -0.0004158595 -0.0079650772 -0.0177543942 -0.0134524886
[31]  0.0433670834 -0.0235650167 -0.0040029430  0.0292659102 -0.0015337959
[36] -0.0186854405 -0.0441015713 -0.0580064143 -0.0197131618 -0.0245499606
[41]  0.0001967775  0.0127682122  0.0348804403 -0.0282571388  0.0173799309
[46]  0.0185932252 -0.0166000835  0.0065618072
> 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/41ibs1469793100.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/5j2rp1469793100.tab") 
> 
> try(system("convert tmp/10z301469793100.ps tmp/10z301469793100.png",intern=TRUE))
character(0)
> try(system("convert tmp/2gvj71469793100.ps tmp/2gvj71469793100.png",intern=TRUE))
character(0)
> try(system("convert tmp/3fye31469793100.ps tmp/3fye31469793100.png",intern=TRUE))
character(0)
> 
> 
> proc.time()
   user  system elapsed 
  1.262   0.082   1.371