R version 3.2.2 (2015-08-14) -- "Fire Safety"
Copyright (C) 2015 The R Foundation for Statistical Computing
Platform: x86_64-pc-linux-gnu (64-bit)

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> x <- c(91.16,91.17,91.17,91.38,92.68,92.72,92.79,92.81,92.81,92.81,92.81,92.81,92.81,92.82,92.82,92.88,93.38,93.89,94.1,94.18,94.3,94.31,94.36,94.38,94.38,94.5,94.57,94.89,96.71,97.57,97.88,97.97,98.4,98.51,98.46,98.46,98.48,98.6,98.6,98.71,99.13,99.2,99.3,100.18,101.37,101.77,102.28,102.38,102.35,103.23,105.37,106.62,107,107.24,107.31,107.35,107.42,107.58,107.64,107.64)
> 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/1yd7x1445609549.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/2xdca1445609549.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/3wc4y1445609549.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  0.95181194  0.89730349  0.84007442  0.78231071  0.72788158
 [7]  0.67158432  0.61294879  0.55288845  0.49327613  0.43982906  0.39761270
[13]  0.35848255  0.31651334  0.27322062  0.23123905  0.18973985  0.15528009
[19]  0.12669974  0.09799894  0.06903776  0.04187709  0.01269080 -0.01993412
[25] -0.05448232 -0.09174740 -0.13037878 -0.17022603 -0.20919301 -0.23937733
[31] -0.26633768 -0.29067846 -0.30988588 -0.31709358 -0.32318286 -0.33024177
[37] -0.33730588 -0.34491546 -0.35222189 -0.35946668 -0.36703238 -0.37333637
[43] -0.37943324 -0.38436064 -0.38284922 -0.37359423 -0.36315435 -0.35249560
[49] -0.34265793
> (mypacf <- c(rpacf$acf))
 [1]  0.951811942 -0.091888510 -0.053697894 -0.033592996  0.004605638
 [6] -0.055781388 -0.058110590 -0.048143022 -0.029522323  0.025620582
[11]  0.075656475 -0.014425544 -0.069848549 -0.042255745 -0.012416352
[16] -0.036541971  0.029596614  0.019858828 -0.035945033 -0.024635252
[21]  0.006552807 -0.054791299 -0.085239075 -0.060084236 -0.061053143
[26] -0.048632275 -0.039591006 -0.021540621  0.046723509 -0.017504333
[31] -0.015209894  0.004416977  0.082627539 -0.039169542 -0.056779034
[36] -0.039670809 -0.031730131 -0.027582141 -0.029113295 -0.041313281
[41] -0.025928683 -0.022074072 -0.001080457  0.034240936  0.050265873
[46] -0.013685002 -0.017493729 -0.020905798
> 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/4osyd1445609549.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/5sj171445609549.tab") 
> 
> try(system("convert tmp/1yd7x1445609549.ps tmp/1yd7x1445609549.png",intern=TRUE))
character(0)
> try(system("convert tmp/2xdca1445609549.ps tmp/2xdca1445609549.png",intern=TRUE))
character(0)
> try(system("convert tmp/3wc4y1445609549.ps tmp/3wc4y1445609549.png",intern=TRUE))
character(0)
> 
> 
> proc.time()
   user  system elapsed 
  1.199   0.216   1.420