R version 3.1.0 (2014-04-10) -- "Spring Dance"
Copyright (C) 2014 The R Foundation for Statistical Computing
Platform: i686-pc-linux-gnu (32-bit)

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> x <- c(329.6
+ ,327.2
+ ,326.3
+ ,315.4
+ ,308.6
+ ,302.6
+ ,295.6
+ ,291.5
+ ,288.1
+ ,281.1
+ ,282.4
+ ,284.9
+ ,274.2
+ ,265.7
+ ,259.7
+ ,253.7
+ ,249.5
+ ,244.6
+ ,243
+ ,239.2
+ ,235.7
+ ,231.1
+ ,226.7
+ ,221.7
+ ,219.4
+ ,214.2
+ ,211.7
+ ,207.7
+ ,204.7
+ ,201.2
+ ,199.9
+ ,197.8
+ ,195.2
+ ,194.3
+ ,192.8
+ ,188.5
+ ,183.2
+ ,181.4
+ ,180.5
+ ,180.2
+ ,179.2
+ ,177.1
+ ,174.2
+ ,172.1
+ ,171.1
+ ,169.8
+ ,169.5
+ ,165.5
+ ,167.2
+ ,167.6
+ ,171.8
+ ,175.9
+ ,180
+ ,184.9
+ ,184.6
+ ,187.6
+ ,191.5
+ ,195.5
+ ,201.6
+ ,203.5
+ ,209.1
+ ,217.1
+ ,227.6
+ ,237.2
+ ,245.6
+ ,253.2
+ ,260.5
+ ,266.1
+ ,273
+ ,280.8
+ ,284.4
+ ,288.5
+ ,284.8
+ ,288.9
+ ,299.6
+ ,307.8
+ ,311.4
+ ,322
+ ,317.8
+ ,319.1
+ ,322.3
+ ,323.1
+ ,322.8
+ ,325
+ ,323.2
+ ,318.8
+ ,328.2
+ ,329.2
+ ,326.5
+ ,330.1
+ ,323.8
+ ,321.8
+ ,319.6
+ ,315.5
+ ,310.7
+ ,306.5
+ ,295.1
+ ,288
+ ,293.9
+ ,289.3
+ ,287.4
+ ,282.6
+ ,276.9
+ ,272.7
+ ,267.9
+ ,262.8
+ ,256.6
+ ,250.7
+ ,243.2
+ ,235.1
+ ,229.6
+ ,222.9
+ ,217.6
+ ,214.1
+ ,210.8
+ ,208
+ ,202.6
+ ,199
+ ,195.5
+ ,192.1
+ ,189.4
+ ,182.4
+ ,179.2
+ ,176.5
+ ,174
+ ,171.7
+ ,169.8
+ ,168.3
+ ,166.4
+ ,165.9
+ ,166.4
+ ,170.6
+ ,177.6
+ ,183.4
+ ,191.9
+ ,201.7
+ ,210.6
+ ,221.6
+ ,232.2
+ ,240.4
+ ,248.4
+ ,258.5
+ ,265
+ ,271.7
+ ,273.9
+ ,277.8
+ ,273.4
+ ,270.9
+ ,268.3
+ ,264.7
+ ,264.1
+ ,264.5
+ ,262.2
+ ,258.6
+ ,259.4
+ ,262.7
+ ,264.9
+ ,260.5
+ ,256.4
+ ,254.7
+ ,254.8
+ ,255.3
+ ,256.8
+ ,258.7
+ ,259.8
+ ,261.7
+ ,264.7
+ ,269.1
+ ,279
+ ,283.4
+ ,285.5
+ ,288.2
+ ,292.1
+ ,295.6
+ ,302.4
+ ,308.5
+ ,314.1
+ ,319.8
+ ,329.7
+ ,339.7)
> par3 = 'additive'
> par2 = 'Double'
> par1 = '12'
> par3 <- 'additive'
> par2 <- 'Double'
> par1 <- '12'
> #'GNU S' R Code compiled by R2WASP v. 1.2.327 ()
> #Author: root
> #To cite this work: Wessa P., (2013), Exponential Smoothing (v1.0.5) in Free Statistics Software (v$_version), Office for Research Development and Education, URL http://www.wessa.net/rwasp_exponentialsmoothing.wasp/
> #Source of accompanying publication: 
> #
> par1 <- as.numeric(par1)
> if (par2 == 'Single') K <- 1
> if (par2 == 'Double') K <- 2
> if (par2 == 'Triple') K <- par1
> nx <- length(x)
> nxmK <- nx - K
> x <- ts(x, frequency = par1)
> if (par2 == 'Single') fit <- HoltWinters(x, gamma=F, beta=F)
> if (par2 == 'Double') fit <- HoltWinters(x, gamma=F)
> if (par2 == 'Triple') fit <- HoltWinters(x, seasonal=par3)
> fit
Holt-Winters exponential smoothing with trend and without seasonal component.

Call:
HoltWinters(x = x, gamma = F)

Smoothing parameters:
 alpha: 1
 beta : 0.444346
 gamma: FALSE

Coefficients:
        [,1]
a 339.700000
b   8.619921
> myresid <- x - fit$fitted[,'xhat']
> postscript(file="/var/wessaorg/rcomp/tmp/1pfpz1400269190.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> op <- par(mfrow=c(2,1))
> plot(fit,ylab='Observed (black) / Fitted (red)',main='Interpolation Fit of Exponential Smoothing')
> plot(myresid,ylab='Residuals',main='Interpolation Prediction Errors')
> par(op)
> dev.off()
null device 
          1 
> postscript(file="/var/wessaorg/rcomp/tmp/2wfcn1400269190.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> p <- predict(fit, par1, prediction.interval=TRUE)
> np <- length(p[,1])
> plot(fit,p,ylab='Observed (black) / Fitted (red)',main='Extrapolation Fit of Exponential Smoothing')
> dev.off()
null device 
          1 
> postscript(file="/var/wessaorg/rcomp/tmp/3t7h01400269190.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> op <- par(mfrow = c(2,2))
> acf(as.numeric(myresid),lag.max = nx/2,main='Residual ACF')
> spectrum(myresid,main='Residals Periodogram')
> cpgram(myresid,main='Residal Cumulative Periodogram')
> qqnorm(myresid,main='Residual Normal QQ Plot')
> qqline(myresid)
> par(op)
> dev.off()
null device 
          1 
> 
> #Note: the /var/wessaorg/rcomp/createtable file can be downloaded at http://www.wessa.net/cretab
> load(file="/var/wessaorg/rcomp/createtable")
> 
> a<-table.start()
> a<-table.row.start(a)
> a<-table.element(a,'Estimated Parameters of Exponential Smoothing',2,TRUE)
> a<-table.row.end(a)
> a<-table.row.start(a)
> a<-table.element(a,'Parameter',header=TRUE)
> a<-table.element(a,'Value',header=TRUE)
> a<-table.row.end(a)
> a<-table.row.start(a)
> a<-table.element(a,'alpha',header=TRUE)
> a<-table.element(a,fit$alpha)
> a<-table.row.end(a)
> a<-table.row.start(a)
> a<-table.element(a,'beta',header=TRUE)
> a<-table.element(a,fit$beta)
> a<-table.row.end(a)
> a<-table.row.start(a)
> a<-table.element(a,'gamma',header=TRUE)
> a<-table.element(a,fit$gamma)
> a<-table.row.end(a)
> a<-table.end(a)
> table.save(a,file="/var/wessaorg/rcomp/tmp/4wbif1400269190.tab") 
> a<-table.start()
> a<-table.row.start(a)
> a<-table.element(a,'Interpolation Forecasts of Exponential Smoothing',4,TRUE)
> a<-table.row.end(a)
> a<-table.row.start(a)
> a<-table.element(a,'t',header=TRUE)
> a<-table.element(a,'Observed',header=TRUE)
> a<-table.element(a,'Fitted',header=TRUE)
> a<-table.element(a,'Residuals',header=TRUE)
> a<-table.row.end(a)
> for (i in 1:nxmK) {
+ a<-table.row.start(a)
+ a<-table.element(a,i+K,header=TRUE)
+ a<-table.element(a,x[i+K])
+ a<-table.element(a,fit$fitted[i,'xhat'])
+ a<-table.element(a,myresid[i])
+ a<-table.row.end(a)
+ }
> a<-table.end(a)
> table.save(a,file="/var/wessaorg/rcomp/tmp/5v0jy1400269190.tab") 
> a<-table.start()
> a<-table.row.start(a)
> a<-table.element(a,'Extrapolation Forecasts of Exponential Smoothing',4,TRUE)
> a<-table.row.end(a)
> a<-table.row.start(a)
> a<-table.element(a,'t',header=TRUE)
> a<-table.element(a,'Forecast',header=TRUE)
> a<-table.element(a,'95% Lower Bound',header=TRUE)
> a<-table.element(a,'95% Upper Bound',header=TRUE)
> a<-table.row.end(a)
> for (i in 1:np) {
+ a<-table.row.start(a)
+ a<-table.element(a,nx+i,header=TRUE)
+ a<-table.element(a,p[i,'fit'])
+ a<-table.element(a,p[i,'lwr'])
+ a<-table.element(a,p[i,'upr'])
+ a<-table.row.end(a)
+ }
> a<-table.end(a)
> table.save(a,file="/var/wessaorg/rcomp/tmp/6tgyo1400269190.tab") 
> 
> try(system("convert tmp/1pfpz1400269190.ps tmp/1pfpz1400269190.png",intern=TRUE))
character(0)
> try(system("convert tmp/2wfcn1400269190.ps tmp/2wfcn1400269190.png",intern=TRUE))
character(0)
> try(system("convert tmp/3t7h01400269190.ps tmp/3t7h01400269190.png",intern=TRUE))
character(0)
> 
> 
> proc.time()
   user  system elapsed 
  2.222   0.325   2.561