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)

R is free software and comes with ABSOLUTELY NO WARRANTY.
You are welcome to redistribute it under certain conditions.
Type 'license()' or 'licence()' for distribution details.

R is a collaborative project with many contributors.
Type 'contributors()' for more information and
'citation()' on how to cite R or R packages in publications.

Type 'demo()' for some demos, 'help()' for on-line help, or
'help.start()' for an HTML browser interface to help.
Type 'q()' to quit R.

> x <- c(40927.00
+ ,40856.00
+ ,40778.00
+ ,40635.00
+ ,42103.00
+ ,42032.00
+ ,40927.00
+ ,40194.00
+ ,40265.00
+ ,40265.00
+ ,40336.00
+ ,40486.00
+ ,40856.00
+ ,40414.00
+ ,40856.00
+ ,40486.00
+ ,41661.00
+ ,42181.00
+ ,39973.00
+ ,39381.00
+ ,39894.00
+ ,39823.00
+ ,39381.00
+ ,39453.00
+ ,40336.00
+ ,40194.00
+ ,40336.00
+ ,40336.00
+ ,41298.00
+ ,41440.00
+ ,38790.00
+ ,38790.00
+ ,39823.00
+ ,39310.00
+ ,38427.00
+ ,38790.00
+ ,39674.00
+ ,39232.00
+ ,39161.00
+ ,38206.00
+ ,39602.00
+ ,39894.00
+ ,37023.00
+ ,36952.00
+ ,38427.00
+ ,37615.00
+ ,36218.00
+ ,36810.00
+ ,37465.00
+ ,37615.00
+ ,37173.00
+ ,36290.00
+ ,38128.00
+ ,38128.00
+ ,34893.00
+ ,34673.00
+ ,35556.00
+ ,33939.00
+ ,32314.00
+ ,32835.00
+ ,33939.00
+ ,33055.00
+ ,32464.00
+ ,31210.00
+ ,32906.00
+ ,32977.00
+ ,29743.00
+ ,29664.00
+ ,30256.00
+ ,28418.00
+ ,26430.00
+ ,27235.00
+ ,28339.00
+ ,27164.00
+ ,27093.00
+ ,25910.00
+ ,27826.00
+ ,28197.00
+ ,24585.00
+ ,23780.00
+ ,24293.00
+ ,22305.00
+ ,20246.00
+ ,20909.00
+ ,22156.00
+ ,20688.00
+ ,20909.00
+ ,20026.00
+ ,21864.00
+ ,22084.00
+ ,17668.00
+ ,17375.00
+ ,18180.00
+ ,16050.00
+ ,14134.00
+ ,14797.00
+ ,16414.00
+ ,14504.00
+ ,14355.00
+ ,12880.00
+ ,14504.00
+ ,15017.00
+ ,10451.00
+ ,10451.00
+ ,11113.00
+ ,9347.00
+ ,7359.00
+ ,8392.00
+ ,10230.00
+ ,8242.00
+ ,9055.00
+ ,7950.00
+ ,9717.00
+ ,10308.00
+ ,5592.00
+ ,5229.00
+ ,5963.00
+ ,4196.00
+ ,2800.00
+ ,3384.00)
> 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/1n10g1470929425.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/2juww1470929425.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/3twcs1470929425.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 -0.12102845 -0.53393972  0.22139723  0.32942673 -0.05983677
 [7] -0.40755412 -0.04489044  0.32694355  0.18200352 -0.49354614 -0.08109548
[13]  0.86536533 -0.11781146 -0.50875423  0.21818722  0.31889281 -0.09246857
[19] -0.35771191 -0.02555222  0.29480336  0.13832251 -0.42660759 -0.05716860
[25]  0.73428234 -0.10701446 -0.45788805  0.21045714  0.27203897 -0.11866326
[31] -0.30999026 -0.01090295  0.24312784  0.09130537 -0.36312599 -0.04431494
[37]  0.60109569 -0.10323354 -0.39293093  0.19321508  0.23462006 -0.13118691
[43] -0.26398550  0.01265605  0.18514320  0.05591092 -0.30808224 -0.04656224
[49]  0.47758889
> (mypacf <- c(rpacf$acf))
 [1] -0.121028455 -0.556742714  0.078560814  0.120759055  0.243786690
 [6] -0.298236040 -0.254354567 -0.144817247  0.454970133 -0.238981291
[11]  0.055095599  0.675216191  0.124648684  0.124944708 -0.020258544
[16] -0.031312539 -0.098494291  0.129019909  0.030782815 -0.018788617
[21] -0.085813452  0.076271393 -0.040475883  0.013242396 -0.010782243
[26]  0.081905087 -0.013509475 -0.069608355 -0.088975485 -0.070466212
[31] -0.036641040 -0.047781584 -0.062484169 -0.074462302 -0.078739550
[36] -0.119171582 -0.068921792 -0.006510176 -0.010536017  0.047162552
[41]  0.005272080 -0.021913593  0.006991089 -0.026517359  0.021165429
[46] -0.032705842 -0.062019562 -0.115852032
> 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/4bsjk1470929425.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/5ecwc1470929425.tab") 
> 
> try(system("convert tmp/1n10g1470929425.ps tmp/1n10g1470929425.png",intern=TRUE))
character(0)
> try(system("convert tmp/2juww1470929425.ps tmp/2juww1470929425.png",intern=TRUE))
character(0)
> try(system("convert tmp/3twcs1470929425.ps tmp/3twcs1470929425.png",intern=TRUE))
character(0)
> 
> 
> proc.time()
   user  system elapsed 
  1.338   0.132   1.500