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(338881
+ ,339105
+ ,342435
+ ,354980
+ ,339890
+ ,339890
+ ,340471
+ ,343833
+ ,346109
+ ,345455
+ ,350419
+ ,344660
+ ,341499
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+ ,359079
+ ,344090
+ ,342681
+ ,348552
+ ,349867
+ ,353247
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+ ,393301
+ ,366190
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+ ,372656
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+ ,373113
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+ ,368835
+ ,366859
+ ,356044
+ ,346106
+ ,333829
+ ,317388
+ ,285871
+ ,339729
+ ,308216
+ ,309137
+ ,311245
+ ,319568
+ ,329201
+ ,339880
+ ,342305
+ ,346975
+ ,355294
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+ ,392946
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+ ,358071
+ ,365429
+ ,378731
+ ,384120
+ ,391390
+ ,403547
+ ,404124
+ ,406439
+ ,412232
+ ,419221
+ ,450521
+ ,430027
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+ ,450200
+ ,459279
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+ ,478567
+ ,475726
+ ,480634
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+ ,491912
+ ,517281
+ ,502379
+ ,504942
+ ,516387
+ ,523270
+ ,528995
+ ,540850
+ ,550679
+ ,544432
+ ,550296
+ ,554659
+ ,558856
+ ,582661
+ ,564317
+ ,568569
+ ,574693
+ ,586558
+ ,588751
+ ,598250
+ ,607706
+ ,603869
+ ,607696
+ ,613285
+ ,617160
+ ,647083
+ ,621246
+ ,623252
+ ,632722
+ ,641716
+ ,644953
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+ ,660093
+ ,657090
+ ,657281
+ ,661949
+ ,665608
+ ,697124
+ ,671310
+ ,674708
+ ,681915
+ ,690556
+ ,692885
+ ,699740
+ ,707885
+ ,704785
+ ,705363
+ ,749101
+ ,752891
+ ,784662
+ ,761914
+ ,763768
+ ,768877
+ ,781031
+ ,783454
+ ,785988
+ ,795068
+ ,790001
+ ,789721
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+ ,798690
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+ ,806249
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+ ,819928
+ ,821105
+ ,828422
+ ,835360
+ ,844092
+ ,837469
+ ,836969
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+ ,845413
+ ,844366
+ ,848357
+ ,858754
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+ ,882077
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+ ,913625
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+ ,898843
+ ,908135
+ ,918920
+ ,923125
+ ,921770
+ ,917843
+ ,916761
+ ,915087
+ ,938173
+ ,907953
+ ,905374
+ ,921867
+ ,927104
+ ,930989
+ ,936820
+ ,944281
+ ,945322
+ ,944555)
> par3 = 'additive'
> par2 = 'Single'
> par1 = '12'
> par3 <- 'additive'
> par2 <- 'Single'
> 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 without trend and without seasonal component.

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

Smoothing parameters:
 alpha: 0.7900579
 beta : FALSE
 gamma: FALSE

Coefficients:
      [,1]
a 944587.5
> myresid <- x - fit$fitted[,'xhat']
> postscript(file="/var/wessaorg/rcomp/tmp/1ost41385121860.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> op <- par(mfrow=c(2,1))
> plot(fit,ylab='Observed (black) / Fitted (red)',main='Interpolation Fit of Exponential Smoothing')
> plot(myresid,ylab='Residuals',main='Interpolation Prediction Errors')
> par(op)
> dev.off()
null device 
          1 
> postscript(file="/var/wessaorg/rcomp/tmp/22tmb1385121860.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> p <- predict(fit, par1, prediction.interval=TRUE)
> np <- length(p[,1])
> plot(fit,p,ylab='Observed (black) / Fitted (red)',main='Extrapolation Fit of Exponential Smoothing')
> dev.off()
null device 
          1 
> postscript(file="/var/wessaorg/rcomp/tmp/3n4l01385121860.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> op <- par(mfrow = c(2,2))
> acf(as.numeric(myresid),lag.max = nx/2,main='Residual ACF')
> spectrum(myresid,main='Residals Periodogram')
> cpgram(myresid,main='Residal Cumulative Periodogram')
> qqnorm(myresid,main='Residual Normal QQ Plot')
> qqline(myresid)
> par(op)
> dev.off()
null device 
          1 
> 
> #Note: the /var/wessaorg/rcomp/createtable file can be downloaded at http://www.wessa.net/cretab
> load(file="/var/wessaorg/rcomp/createtable")
> 
> a<-table.start()
> a<-table.row.start(a)
> a<-table.element(a,'Estimated Parameters of Exponential Smoothing',2,TRUE)
> a<-table.row.end(a)
> a<-table.row.start(a)
> a<-table.element(a,'Parameter',header=TRUE)
> a<-table.element(a,'Value',header=TRUE)
> a<-table.row.end(a)
> a<-table.row.start(a)
> a<-table.element(a,'alpha',header=TRUE)
> a<-table.element(a,fit$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/4ouo11385121860.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/5tdt11385121860.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/6iyfc1385121860.tab") 
> 
> try(system("convert tmp/1ost41385121860.ps tmp/1ost41385121860.png",intern=TRUE))
character(0)
> try(system("convert tmp/22tmb1385121860.ps tmp/22tmb1385121860.png",intern=TRUE))
character(0)
> try(system("convert tmp/3n4l01385121860.ps tmp/3n4l01385121860.png",intern=TRUE))
character(0)
> 
> 
> proc.time()
   user  system elapsed 
  2.377   0.412   2.772