R version 2.9.0 (2009-04-17)
Copyright (C) 2009 The R Foundation for Statistical Computing
ISBN 3-900051-07-0

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> x <- c(43.9,51,51.9,54.3,50.3,57.2,48.8,41.1,58,63,53.8,54.7,55.5,56.1,69.6,69.4,57.2,68,53.3,47.9,60.8,61.7,57.8,51.4,50.5,48.1,58.7,54,56.1,60.4,51.2,50.7,56.4,53.3,52.6,47.7,49.5,48.5,55.3,49.8,57.4,64.6,53,41.5,55.9,58.4,53.5,50.6,58.5,49.1,61.1,52.3,58.4,65.5,61.7,45.1,52.1,59.3,57.9,45,64.9,63.8,69.4,71.1,62.9,73.5,62.7,51.9,73.3,66.7,62.5,70.3)
> par1 = '12'
> #'GNU S' R Code compiled by R2WASP v. 1.0.44 ()
> #Author: Prof. Dr. P. Wessa
> #To cite this work: AUTHOR(S), (YEAR), YOUR SOFTWARE TITLE (vNUMBER) in Free Statistics Software (v$_version), Office for Research Development and Education, URL http://www.wessa.net/rwasp_YOURPAGE.wasp/
> #Source of accompanying publication: Office for Research, Development, and Education
> #Technical description: Write here your technical program description (don't use hard returns!)
> par1 <- as.numeric(par1)
> nx <- length(x)
> x <- ts(x,frequency=par1)
> m <- StructTS(x,type='BSM')
> m$coef
    level     slope      seas   epsilon 
 4.423182  0.000000  3.212728 11.572685 
> m$fitted
         level     slope         sea
Jan 1 43.90000 0.0000000   0.0000000
Feb 1 47.04794 0.2424668   1.3612775
Mar 1 49.53420 0.4129880   0.7649556
Apr 1 51.74514 0.5162125   1.0698219
May 1 51.44395 0.4805743  -0.4119278
Jun 1 53.71367 0.5438903   1.8235378
Jul 1 52.11435 0.4780581  -1.2872624
Aug 1 47.76053 0.3428116  -2.0499453
Sep 1 51.28736 0.4265338   3.6599122
Oct 1 56.21455 0.5396885   2.4583029
Nov 1 55.87338 0.5183014  -1.2249666
Dec 1 55.45247 0.4961558   0.1533058
Jan 2 57.21379 0.4035443  -3.0993448
Feb 2 57.07713 0.3929923  -0.5250750
Mar 2 62.07357 0.5523145   3.9823787
Apr 2 65.21302 0.6340582   2.0775816
May 2 63.31562 0.5689441  -3.9439896
Jun 2 64.05693 0.5725798   3.7911041
Jul 2 60.46092 0.4968716  -3.4363936
Aug 2 56.89532 0.4299890  -5.3421301
Sep 2 57.23000 0.4285124   3.6559793
Oct 2 58.07880 0.4347331   3.2413205
Nov 2 58.66548 0.4367902  -1.0031200
Dec 2 56.52059 0.4157033  -2.7644259
Jan 3 55.66029 0.4416155  -3.9306484
Feb 3 54.01740 0.4233378  -4.0989311
Mar 3 54.59182 0.4265585   3.9848983
Apr 3 53.56273 0.3937061   1.6388370
May 3 55.87234 0.4319783  -1.3993809
Jun 3 55.90375 0.4251807   4.8435405
Jul 3 55.12562 0.4075346  -2.8698706
Aug 3 55.59168 0.4083041  -4.9433494
Sep 3 54.94601 0.3955130   2.3877776
Oct 3 53.32548 0.3730808   1.7648147
Nov 3 52.96281 0.3663320   0.2923848
Dec 3 51.91759 0.3603006  -2.9517530
Jan 4 52.05011 0.3616593  -2.3409821
Feb 4 52.36823 0.3613911  -3.8300391
Mar 4 52.06222 0.3515207   3.7986615
Apr 4 51.11984 0.3292668  -0.2354679
May 4 53.80169 0.3677566   1.5967110
Jun 4 56.20077 0.3972616   6.6447616
Jul 4 56.56446 0.3968331  -3.5351556
Aug 4 53.11733 0.3531283  -8.2418980
Sep 4 52.69789 0.3452298   3.8830524
Oct 4 53.96971 0.3535169   3.6114796
Nov 4 53.78343 0.3497831   0.1948959
Dec 4 53.80993 0.3486639  -2.9220179
Jan 5 56.32949 0.3476536   0.2198589
Feb 5 55.50768 0.3412456  -5.3817941
Mar 5 56.19791 0.3451606   4.6041167
Apr 5 55.64083 0.3328379  -2.5753767
May 5 56.44103 0.3392390   1.5594243
Jun 5 57.36108 0.3465822   7.6371264
Jul 5 59.75076 0.3697226   0.1688610
Aug 5 57.93933 0.3477454 -10.9275217
Sep 5 54.73017 0.3161438   0.4992940
Oct 5 54.77865 0.3141255   4.7574706
Nov 5 55.94423 0.3190240   1.2028621
Dec 5 53.75038 0.3102963  -6.5212285
Jan 6 57.20241 0.3164175   4.9037508
Feb 6 61.90440 0.3394828  -1.9491241
Mar 6 63.57576 0.3516158   4.6768101
Apr 6 67.67761 0.3937046   0.2121715
May 6 66.33132 0.3734327  -1.9364718
Jun 6 66.42341 0.3703133   7.3200798
Jul 6 64.77182 0.3498679  -0.3098721
Aug 6 63.52437 0.3354556 -10.2251338
Sep 6 66.67086 0.3576131   4.1578763
Oct 6 65.63391 0.3483886   2.2951331
Nov 6 64.07929 0.3386037   0.1011853
Dec 6 69.20235 0.3560670  -3.1351956
> m$resid
          Jan         Feb         Mar         Apr         May         Jun
1  0.00000000  1.26074627  0.83880416  0.75006564 -0.36143922  0.81224567
2  0.74245876 -0.23457308  1.90134065  1.12295732 -1.14258145  0.07938745
3 -0.64727612 -0.95745141  0.06618585 -0.64686972  0.87166503 -0.18518030
4 -0.11058934 -0.02026172 -0.30086737 -0.58425976  1.07693451  0.94127609
5  1.03626506 -0.54643106  0.15976702 -0.41205170  0.21510733  0.26973211
6  1.48885659  2.05277377  0.61521203  1.72659235 -0.80457923 -0.13094742
          Jul         Aug         Sep         Oct         Nov         Dec
1 -0.98507083 -2.23456080  1.47734413  2.09221944 -0.40997547 -0.43750157
2 -1.93847418 -1.89781596 -0.04462563  0.19703745  0.07130874 -1.21607329
3 -0.56122120  0.02741883 -0.49500030 -0.94810110 -0.34639627 -0.66756496
4 -0.01568164 -1.80360054 -0.36340397  0.43645034 -0.25455578 -0.15298077
5  0.95529927 -1.02427063 -1.67450448 -0.12618307  0.40183095 -1.18842427
6 -0.94634425 -0.75054193  1.32396538 -0.65769449 -0.89831422  2.26093229
> mylevel <- as.numeric(m$fitted[,'level'])
> myslope <- as.numeric(m$fitted[,'slope'])
> myseas <- as.numeric(m$fitted[,'sea'])
> myresid <- as.numeric(m$resid)
> myfit <- mylevel+myseas
> mylagmax <- nx/2
> postscript(file="/var/www/html/rcomp/tmp/1hoow1261386508.ps",horizontal=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(mylevel,na.action=na.pass,lag.max = mylagmax,main='Level')
> acf(myseas,na.action=na.pass,lag.max = mylagmax,main='Seasonal')
> acf(myresid,na.action=na.pass,lag.max = mylagmax,main='Standardized Residals')
> par(op)
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/2844e1261386508.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> op <- par(mfrow = c(2,2))
> spectrum(as.numeric(x),main='Observed')
> spectrum(mylevel,main='Level')
> spectrum(myseas,main='Seasonal')
> spectrum(myresid,main='Standardized Residals')
> par(op)
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/3s0xt1261386508.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> op <- par(mfrow = c(2,2))
> cpgram(as.numeric(x),main='Observed')
> cpgram(mylevel,main='Level')
> cpgram(myseas,main='Seasonal')
> cpgram(myresid,main='Standardized Residals')
> par(op)
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/4mt4c1261386508.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> plot(as.numeric(m$resid),main='Standardized Residuals',ylab='Residuals',xlab='time',type='b')
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/5vy3q1261386508.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> op <- par(mfrow = c(2,2))
> hist(m$resid,main='Residual Histogram')
> plot(density(m$resid),main='Residual Kernel Density')
> qqnorm(m$resid,main='Residual Normal QQ Plot')
> qqline(m$resid)
> plot(m$resid^2, myfit^2,main='Sq.Resid vs. Sq.Fit',xlab='Squared residuals',ylab='Squared Fit')
> par(op)
> dev.off()
null device 
          1 
> 
> #Note: the /var/www/html/rcomp/createtable file can be downloaded at http://www.wessa.net/cretab
> load(file="/var/www/html/rcomp/createtable")
> 
> a<-table.start()
> a<-table.row.start(a)
> a<-table.element(a,'Structural Time Series Model',6,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,'Level',header=TRUE)
> a<-table.element(a,'Slope',header=TRUE)
> a<-table.element(a,'Seasonal',header=TRUE)
> a<-table.element(a,'Stand. Residuals',header=TRUE)
> a<-table.row.end(a)
> for (i in 1:nx) {
+ a<-table.row.start(a)
+ a<-table.element(a,i,header=TRUE)
+ a<-table.element(a,x[i])
+ a<-table.element(a,mylevel[i])
+ a<-table.element(a,myslope[i])
+ a<-table.element(a,myseas[i])
+ a<-table.element(a,myresid[i])
+ a<-table.row.end(a)
+ }
> a<-table.end(a)
> table.save(a,file="/var/www/html/rcomp/tmp/6gc171261386508.tab") 
> try(system("convert tmp/1hoow1261386508.ps tmp/1hoow1261386508.png",intern=TRUE))
character(0)
> try(system("convert tmp/2844e1261386508.ps tmp/2844e1261386508.png",intern=TRUE))
character(0)
> try(system("convert tmp/3s0xt1261386508.ps tmp/3s0xt1261386508.png",intern=TRUE))
character(0)
> try(system("convert tmp/4mt4c1261386508.ps tmp/4mt4c1261386508.png",intern=TRUE))
character(0)
> try(system("convert tmp/5vy3q1261386508.ps tmp/5vy3q1261386508.png",intern=TRUE))
character(0)
> 
> 
> proc.time()
   user  system elapsed 
  1.611   0.794   1.923