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)

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> x <- c(5947968.00
+ ,5925816.00
+ ,5903352.00
+ ,5856864.00
+ ,6316752.00
+ ,6292416.00
+ ,5947968.00
+ ,5718960.00
+ ,5741112.00
+ ,5741112.00
+ ,5765760.00
+ ,5810064.00
+ ,5879016.00
+ ,5879016.00
+ ,5834712.00
+ ,5718960.00
+ ,6316752.00
+ ,6407856.00
+ ,6270264.00
+ ,5947968.00
+ ,6085872.00
+ ,5879016.00
+ ,5972304.00
+ ,6016920.00
+ ,6063408.00
+ ,5947968.00
+ ,5972304.00
+ ,5810064.00
+ ,6316752.00
+ ,6476808.00
+ ,6339216.00
+ ,6085872.00
+ ,6361368.00
+ ,6063408.00
+ ,6339216.00
+ ,6316752.00
+ ,6385704.00
+ ,6132360.00
+ ,6407856.00
+ ,6385704.00
+ ,6799104.00
+ ,6705816.00
+ ,6339216.00
+ ,6154512.00
+ ,6407856.00
+ ,6063408.00
+ ,6316752.00
+ ,6361368.00
+ ,6454656.00
+ ,6248112.00
+ ,6361368.00
+ ,6430320.00
+ ,6683664.00
+ ,6476808.00
+ ,6201312.00
+ ,5903352.00
+ ,6179160.00
+ ,5421000.00
+ ,5787912.00
+ ,5994456.00
+ ,6201312.00
+ ,5903352.00
+ ,5903352.00
+ ,5903352.00
+ ,6063408.00
+ ,5834712.00
+ ,5534568.00
+ ,5283408.00
+ ,5465616.00
+ ,4754256.00
+ ,5190120.00
+ ,5443464.00
+ ,5489952.00
+ ,5236608.00
+ ,5258760.00
+ ,5190120.00
+ ,5421000.00
+ ,5258760.00
+ ,4938960.00
+ ,4707768.00
+ ,5098704.00
+ ,4249752.00
+ ,4801056.00
+ ,5052216.00
+ ,5052216.00
+ ,4754256.00
+ ,4478760.00
+ ,4456608.00
+ ,4707768.00
+ ,4478760.00
+ ,4043208.00
+ ,3743064.00
+ ,4065360.00
+ ,3307512.00
+ ,3996408.00
+ ,4363008.00
+ ,4478760.00
+ ,4225416.00
+ ,3905304.00
+ ,4134312.00
+ ,4225416.00
+ ,4156464.00
+ ,3467256.00
+ ,3147456.00
+ ,3376152.00
+ ,2687256.00
+ ,3398616.00
+ ,3651960.00
+ ,3858504.00
+ ,3514056.00
+ ,3191760.00
+ ,3376152.00
+ ,3467256.00
+ ,3285048.00
+ ,2596152.00
+ ,2296008.00
+ ,2571504.00
+ ,1813656.00
+ ,2640456.00
+ ,3147456.00)
> 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. 1.2.291 ()
> #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/1s1bg1438851503.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/2i3fb1438851503.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/3ldxu1438851503.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  0.94790270  0.90526650  0.85572917  0.82620574  0.78568019
 [7]  0.75796764  0.73618879  0.72365381  0.70318234  0.69210227  0.68757109
[13]  0.70013293  0.64795997  0.60883582  0.56351155  0.53636291  0.49797273
[19]  0.47383529  0.45269086  0.44000952  0.41829281  0.40339409  0.39332445
[25]  0.39689828  0.34807438  0.31176278  0.26871560  0.24335965  0.20637754
[31]  0.18441923  0.16033689  0.14527907  0.11903014  0.10227925  0.08818946
[37]  0.08556447  0.04215289  0.01252690 -0.02312118 -0.04234608 -0.07005548
[43] -0.08184472 -0.09661699 -0.10509792 -0.12495868 -0.13603322 -0.14763354
[49] -0.15225762
> (mypacf <- c(rpacf$acf))
 [1]  0.947902704  0.066485325 -0.082604086  0.161755865 -0.095006059
 [6]  0.075233458  0.103347820  0.049089316 -0.040338340  0.088259354
[11]  0.102412095  0.170862837 -0.617564204  0.140117179  0.079109014
[16] -0.101788354  0.062871591  0.038416397 -0.041004810  0.026510362
[21] -0.026506963  0.084726623 -0.085814386 -0.059736140 -0.132116511
[26]  0.009564056  0.006385721 -0.014107807 -0.004642954  0.005718883
[31] -0.091585886  0.033591062 -0.043549144  0.058511435 -0.071713151
[36] -0.075129215  0.014526850  0.007308771 -0.021754896  0.017297289
[41]  0.014217720  0.003879167 -0.029020003 -0.021908450  0.016656330
[46] -0.028062043 -0.067435236 -0.046561609
> 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/4vx6e1438851503.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/5kplq1438851503.tab") 
> 
> try(system("convert tmp/1s1bg1438851503.ps tmp/1s1bg1438851503.png",intern=TRUE))
character(0)
> try(system("convert tmp/2i3fb1438851503.ps tmp/2i3fb1438851503.png",intern=TRUE))
character(0)
> try(system("convert tmp/3ldxu1438851503.ps tmp/3ldxu1438851503.png",intern=TRUE))
character(0)
> 
> 
> proc.time()
   user  system elapsed 
  1.202   0.249   1.465