R version 3.2.3 (2015-12-10) -- "Wooden Christmas-Tree"
Copyright (C) 2015 The R Foundation for Statistical Computing
Platform: x86_64-pc-linux-gnu (64-bit)

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> x <- c(7612
+ ,7381
+ ,6978
+ ,6819
+ ,6688
+ ,6454
+ ,6679
+ ,6921
+ ,7807
+ ,7898
+ ,7832
+ ,7384
+ ,7620
+ ,7281
+ ,6929
+ ,6587
+ ,6071
+ ,5928
+ ,5964
+ ,6374
+ ,7160
+ ,7213
+ ,6890
+ ,6525
+ ,6739
+ ,6580
+ ,6391
+ ,6254
+ ,6114
+ ,5978
+ ,6315
+ ,6427
+ ,7132
+ ,7292
+ ,7708
+ ,7525
+ ,7450
+ ,7526
+ ,7263
+ ,7070
+ ,6893
+ ,6781
+ ,7188
+ ,7015
+ ,8273
+ ,8470
+ ,8230
+ ,8137
+ ,8122
+ ,8367
+ ,8141
+ ,7750
+ ,7504
+ ,7330
+ ,7608
+ ,7647
+ ,8942
+ ,8865
+ ,8320
+ ,8207
+ ,8105
+ ,8290
+ ,8162
+ ,8051
+ ,7699
+ ,7440
+ ,7656
+ ,7549
+ ,9086
+ ,8942
+ ,8764
+ ,8500
+ ,8239
+ ,8443
+ ,8349
+ ,8288
+ ,7970
+ ,7496
+ ,7745
+ ,7543
+ ,9036
+ ,9075
+ ,8859
+ ,8605
+ ,8419
+ ,8495
+ ,8284
+ ,7582
+ ,7691
+ ,7046
+ ,7442
+ ,7596
+ ,8597
+ ,8436
+ ,7881
+ ,7477
+ ,7508
+ ,7361
+ ,7299
+ ,6914
+ ,6768
+ ,6746
+ ,7052
+ ,7139
+ ,7714
+ ,7750
+ ,7622
+ ,7424
+ ,7444
+ ,7208
+ ,7128
+ ,7022
+ ,6688
+ ,6199
+ ,6400
+ ,6474
+ ,7182
+ ,7330
+ ,7410
+ ,7442
+ ,7753
+ ,7762
+ ,7814
+ ,7838
+ ,7298
+ ,7155
+ ,7076
+ ,7450
+ ,8216
+ ,8246
+ ,8335
+ ,8171
+ ,8485
+ ,8435
+ ,8369
+ ,8210
+ ,7888
+ ,8061
+ ,8139
+ ,7837
+ ,8943
+ ,8523
+ ,8104
+ ,7969
+ ,7921
+ ,7930
+ ,7706
+ ,7552
+ ,7379
+ ,6946
+ ,7128
+ ,7393
+ ,8092
+ ,8004
+ ,7903
+ ,7710
+ ,7867
+ ,7860
+ ,7723
+ ,7477
+ ,7126
+ ,7161
+ ,7162
+ ,7406
+ ,7944
+ ,8084
+ ,8088
+ ,7972
+ ,8184
+ ,7914
+ ,7845
+ ,7610
+ ,7278
+ ,6883
+ ,7123
+ ,7182
+ ,7912
+ ,7893
+ ,7671
+ ,7403
+ ,7663
+ ,7589
+ ,7450
+ ,7069
+ ,6670
+ ,6285
+ ,6506
+ ,6539
+ ,7291
+ ,7391
+ ,7126
+ ,6752
+ ,6835
+ ,6664
+ ,6562
+ ,6174
+ ,5741
+ ,5398
+ ,5203
+ ,5673
+ ,6379
+ ,6418
+ ,6272
+ ,6059)
> 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. 1.2.327 (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/1kf8q1457710555.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/217ik1457710555.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/36kaq1457710555.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]  1.000000000  0.120448065  0.048472948 -0.266338308 -0.194256695
 [6] -0.065960137 -0.081535868 -0.081075541 -0.141836734 -0.293344704
[11]  0.067075350  0.125716948  0.755093703  0.134222400  0.026705531
[16] -0.219058520 -0.181186934 -0.085877397 -0.047473258 -0.108689440
[21] -0.103381735 -0.260481955  0.023424051  0.100311013  0.640817708
[26]  0.128285706  0.040267904 -0.221525700 -0.148725524 -0.067928892
[31] -0.054371020 -0.102178795 -0.128566866 -0.265581776  0.029903450
[36]  0.116690295  0.626542662  0.136658081  0.009903286 -0.207570419
[41] -0.120693973 -0.087291671 -0.030007837 -0.108531826 -0.106239589
[46] -0.248343606  0.018385994  0.133137186  0.553164193
> (mypacf <- c(rpacf$acf))
 [1]  0.120448065  0.034465224 -0.280524996 -0.143539807  0.001273659
 [6] -0.139632565 -0.169532992 -0.184730191 -0.408602723 -0.050970222
[11] -0.047936670  0.645324809 -0.001975117 -0.018066889  0.009911890
[16]  0.042512361 -0.069175296  0.024932068 -0.058188813 -0.008870571
[21]  0.029976042 -0.127046019 -0.104589196  0.161232840 -0.053705139
[26] -0.015732268 -0.080616237  0.023905341  0.037369333 -0.066836176
[31] -0.051421077 -0.122664850 -0.080917859  0.009059470  0.038149234
[36]  0.150625899  0.039441710 -0.087921445 -0.032275169  0.081610106
[41] -0.125112018  0.027723124  0.023495914  0.015648610  0.026577359
[46] -0.055683747 -0.026351441 -0.008742176
> 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/4dlhm1457710555.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/5ou961457710555.tab") 
> 
> try(system("convert tmp/1kf8q1457710555.ps tmp/1kf8q1457710555.png",intern=TRUE))
character(0)
> try(system("convert tmp/217ik1457710555.ps tmp/217ik1457710555.png",intern=TRUE))
character(0)
> try(system("convert tmp/36kaq1457710555.ps tmp/36kaq1457710555.png",intern=TRUE))
character(0)
> 
> 
> proc.time()
   user  system elapsed 
  1.408   0.265   1.685