R version 3.2.2 (2015-08-14) -- "Fire Safety"
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Platform: x86_64-pc-linux-gnu (64-bit)

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> x <- c(989,1215,2911,2372,2013,2050,1580,1407,903,709,490,206,1101,1189,2877,2489,2145,1837,1613,1296,849,642,475,224,920,1263,2999,2988,2163,2391,1556,1089,976,626,392,203,1052,1034,2353,3075,2309,2009,1464,1099,1035,792,406,187,862,822,2128,2264,1987,1728,1311,1152,945,704,526,361,1035,869,2698,2367,1926,1843,1404,1314,1007,865,587,339,1143,1807,2380,2337,2117,1789,1569,1305,952,810,473,278,993,1038,2257,2284,1747,1515,1233,882,1029,707,391,239,592,692,2127,1854,1468,1535,1203,880,821,604,315,139,528,654,1895,1598,1519,1242,1027,762,735,485,281,131,651,611,1898,1385,1047,1008,843,833,711,444,315,204,473,566,1611,1301,1154,1158,862,801,559,404,223,158,548,647,1757,1326,1308,1175,992,808,758,553,310,146)
> par8 = ''
> par7 = '0.95'
> par6 = 'White Noise'
> par5 = '12'
> par4 = '0'
> par3 = '1'
> par2 = '1'
> par1 = '48'
> par8 <- ''
> par7 <- '0.95'
> par6 <- 'White Noise'
> par5 <- '12'
> par4 <- '0'
> par3 <- '1'
> 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/1mwpm1448817503.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=13.888888888889,height=8.3333333333333) 
> 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/2m8vg1448817503.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=13.888888888889,height=8.3333333333333) 
> 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/3f1yz1448817503.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=13.888888888889,height=8.3333333333333) 
> 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  0.05500449  0.13655399 -0.08319559 -0.29452904 -0.18032200
 [7] -0.22075307 -0.18397715 -0.27704285 -0.12596378  0.15457219  0.10966537
[13]  0.80502947  0.11300134  0.14280853 -0.09717544 -0.26689637 -0.15960909
[19] -0.19967681 -0.17625982 -0.24883188 -0.11029852  0.12922101  0.10147793
[25]  0.71935941  0.12088129  0.11866239 -0.08274910 -0.23047429 -0.16223317
[31] -0.15037834 -0.17482467 -0.24273786 -0.08310630  0.13205503  0.07691291
[37]  0.63997372  0.10332193  0.11540200 -0.09869813 -0.18758620 -0.12741936
[43] -0.15054187 -0.13936513 -0.21125110 -0.09483731  0.09988703  0.10711209
[49]  0.56889286
> (mypacf <- c(rpacf$acf))
 [1]  0.055004491  0.133933713 -0.099140615 -0.312483019 -0.146590710
 [6] -0.149279779 -0.218605843 -0.446432071 -0.451459884 -0.236989714
[11] -0.477935036  0.501101888  0.090702600  0.044758506 -0.150840663
[16] -0.080566804 -0.046662938  0.027773352  0.020436785  0.008113479
[21]  0.101195741 -0.011141670 -0.167741328  0.062972397  0.007991874
[26] -0.045778330 -0.040625914  0.041937937 -0.032426009  0.068648090
[31] -0.031424214 -0.090958258  0.036537473  0.120615728 -0.039522682
[36]  0.021072149 -0.062859030  0.005945197 -0.082258858  0.006264497
[41]  0.059734319  0.006891557  0.057067334  0.032229434 -0.042356552
[46] -0.138443453  0.061606373  0.115248885
> 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/4qto71448817503.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/5x7ht1448817503.tab") 
> 
> try(system("convert tmp/1mwpm1448817503.ps tmp/1mwpm1448817503.png",intern=TRUE))
character(0)
> try(system("convert tmp/2m8vg1448817503.ps tmp/2m8vg1448817503.png",intern=TRUE))
character(0)
> try(system("convert tmp/3f1yz1448817503.ps tmp/3f1yz1448817503.png",intern=TRUE))
character(0)
> 
> 
> proc.time()
   user  system elapsed 
  1.362   0.249   1.617