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(480,548,634,489,399,658,497,495,445,525,565,427,477,511,538,444,559,433,459,492,526,523,636,519,671,599,579,593,684,599,721,516,556,700,579,552,734,760,714,698,800,712,782,610,596,748,581,641,598,609,526,716,552,464,631,465,539,537,488,520,477,480,645,455,379,477,424,316,381,376,389,472)
> 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/1v6ep1476867143.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/2sro61476867143.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/3acfe1476867143.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  0.53349345  0.52631247  0.62785674  0.50086823  0.38361473
 [7]  0.38221426  0.27097632  0.30967300  0.28522566  0.14524336  0.22751335
[13]  0.19419977  0.01047576  0.12044990  0.03000349 -0.11264185 -0.04497040
[19] -0.14239783 -0.23998501 -0.20500235 -0.22274104 -0.35105915 -0.26930681
[25] -0.34501683 -0.39307875 -0.37223952 -0.40803074 -0.41019429 -0.38558342
[31] -0.43354414 -0.34784579 -0.24233346 -0.30882027 -0.27486017 -0.11887557
[37] -0.20377534 -0.17492576 -0.12398349 -0.17284460 -0.09268546 -0.12043526
[43] -0.08932995 -0.06434657 -0.02260015 -0.04441155  0.06093452  0.02494091
[49]  0.04307620
> (mypacf <- c(rpacf$acf))
 [1]  0.533493448  0.337856250  0.412943734  0.086229747 -0.132989620
 [6] -0.105186549 -0.173126408  0.135257354  0.147950134 -0.080272387
[11]  0.048621540 -0.062275091 -0.258401257  0.052870448 -0.072454848
[16] -0.119602000  0.015651838 -0.123306916 -0.108195631 -0.079670432
[21]  0.090859883 -0.111294779 -0.027370168 -0.063890819 -0.141326669
[26] -0.123138155  0.044934561  0.050853946 -0.013074248 -0.013002108
[31]  0.058815098  0.164966895  0.072868298 -0.020996931  0.026601968
[36] -0.103403089 -0.033345075 -0.041512035 -0.075521460  0.083591589
[41] -0.092365750  0.032879957 -0.129130466 -0.087379932 -0.024529372
[46]  0.015683316 -0.054052533  0.002446734
> 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/4q8dg1476867143.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/5wutw1476867143.tab") 
> 
> try(system("convert tmp/1v6ep1476867143.ps tmp/1v6ep1476867143.png",intern=TRUE))
character(0)
> try(system("convert tmp/2sro61476867143.ps tmp/2sro61476867143.png",intern=TRUE))
character(0)
> try(system("convert tmp/3acfe1476867143.ps tmp/3acfe1476867143.png",intern=TRUE))
character(0)
> 
> 
> proc.time()
   user  system elapsed 
  1.132   0.092   1.241