R version 3.0.2 (2013-09-25) -- "Frisbee Sailing"
Copyright (C) 2013 The R Foundation for Statistical Computing
Platform: i686-pc-linux-gnu (32-bit)

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> x <- c(1876.88,1876.68,1865.52,1858.99,1856.87,1858.22,1858.22,1859.32,1859.52,1852.48,1850.07,1850.07,1850.07,1841.55,1845,1844.01,1842.67,1842.67,1842.67,1842.9,1840.37,1841.59,1844.33,1844.33,1844.33,1845.39,1861.84,1862.85,1869.46,1870.8,1870.8,1871.52,1875.52,1880.38,1885.05,1886.42,1886.42,1891.65,1903.11,1905.29,1904.26,1905.37,1905.37,1905.12,1908.62,1915.08,1916.36,1916.68,1916.24,1922.05,1922.63,1922.47,1920.64,1920.66,1920.66,1921.19,1921.44,1921.73,1921.81,1921.81,1921.81,1921.48,1917.07,1912.64,1901.15,1898.12,1900.02,1900.02,1900.82,1901.9,1902.19,1901.84)
> par2 = '12'
> par1 = 'multiplicative'
> par2 <- '12'
> par1 <- 'multiplicative'
> #'GNU S' R Code compiled by R2WASP v. 1.2.327 ()
> #Author: root
> #To cite this work: Wessa P., (2013), Classical Decomposition (v1.0.4) in Free Statistics Software (v$_version), Office for Research Development and Education, URL http://www.wessa.net/rwasp_decompose.wasp/
> #Source of accompanying publication: Office for Research, Development, and Education
> #
> par2 <- as.numeric(par2)
> x <- ts(x,freq=par2)
> m <- decompose(x,type=par1)
> m$figure
 [1] 0.9994324 0.9993856 1.0019785 1.0013260 0.9999360 0.9994181 0.9996633
 [8] 0.9995218 0.9996658 0.9997965 1.0000361 0.9998401
> postscript(file="/var/wessaorg/rcomp/tmp/1osbr1386841259.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> plot(m)
> dev.off()
null device 
          1 
> mylagmax <- length(x)/2
> postscript(file="/var/wessaorg/rcomp/tmp/2go791386841259.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> op <- par(mfrow = c(2,2))
> acf(as.numeric(x),lag.max = mylagmax,main='Observed')
> acf(as.numeric(m$trend),na.action=na.pass,lag.max = mylagmax,main='Trend')
> acf(as.numeric(m$seasonal),na.action=na.pass,lag.max = mylagmax,main='Seasonal')
> acf(as.numeric(m$random),na.action=na.pass,lag.max = mylagmax,main='Random')
> par(op)
> dev.off()
null device 
          1 
> postscript(file="/var/wessaorg/rcomp/tmp/3to5w1386841259.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> op <- par(mfrow = c(2,2))
> spectrum(as.numeric(x),main='Observed')
> spectrum(as.numeric(m$trend[!is.na(m$trend)]),main='Trend')
> spectrum(as.numeric(m$seasonal[!is.na(m$seasonal)]),main='Seasonal')
> spectrum(as.numeric(m$random[!is.na(m$random)]),main='Random')
> par(op)
> dev.off()
null device 
          1 
> postscript(file="/var/wessaorg/rcomp/tmp/40bmu1386841259.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> op <- par(mfrow = c(2,2))
> cpgram(as.numeric(x),main='Observed')
> cpgram(as.numeric(m$trend[!is.na(m$trend)]),main='Trend')
> cpgram(as.numeric(m$seasonal[!is.na(m$seasonal)]),main='Seasonal')
> cpgram(as.numeric(m$random[!is.na(m$random)]),main='Random')
> par(op)
> dev.off()
null device 
          1 
> 
> #Note: the /var/wessaorg/rcomp/createtable file can be downloaded at http://www.wessa.net/cretab
> load(file="/var/wessaorg/rcomp/createtable")
> 
> a<-table.start()
> a<-table.row.start(a)
> a<-table.element(a,'Classical Decomposition by Moving Averages',6,TRUE)
> a<-table.row.end(a)
> a<-table.row.start(a)
> a<-table.element(a,'t',header=TRUE)
> a<-table.element(a,'Observations',header=TRUE)
> a<-table.element(a,'Fit',header=TRUE)
> a<-table.element(a,'Trend',header=TRUE)
> a<-table.element(a,'Seasonal',header=TRUE)
> a<-table.element(a,'Random',header=TRUE)
> a<-table.row.end(a)
> for (i in 1:length(m$trend)) {
+ a<-table.row.start(a)
+ a<-table.element(a,i,header=TRUE)
+ a<-table.element(a,x[i])
+ if (par1 == 'additive') a<-table.element(a,signif(m$trend[i]+m$seasonal[i],6)) else a<-table.element(a,signif(m$trend[i]*m$seasonal[i],6))
+ a<-table.element(a,signif(m$trend[i],6))
+ a<-table.element(a,signif(m$seasonal[i],6))
+ a<-table.element(a,signif(m$random[i],6))
+ a<-table.row.end(a)
+ }
> a<-table.end(a)
> table.save(a,file="/var/wessaorg/rcomp/tmp/5vg0b1386841259.tab") 
> 
> try(system("convert tmp/1osbr1386841259.ps tmp/1osbr1386841259.png",intern=TRUE))
character(0)
> try(system("convert tmp/2go791386841259.ps tmp/2go791386841259.png",intern=TRUE))
character(0)
> try(system("convert tmp/3to5w1386841259.ps tmp/3to5w1386841259.png",intern=TRUE))
character(0)
> try(system("convert tmp/40bmu1386841259.ps tmp/40bmu1386841259.png",intern=TRUE))
character(0)
> 
> 
> proc.time()
   user  system elapsed 
  4.087   0.793   4.828