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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> y <- c(3922,3759,4138,4634,3996,4308,4143,4429,5219,4929,5755,5592,4163,4962,5208,4755,4491,5732,5731,5040,6102,4904,5369,5578,4619,4731,5011,5299,4146,4625,4736,4219,5116,4205,4121,5103,4300,4578,3809,5526,4247,3830,4394,4826,4409,4569,4106,4794,3914,3793,4405,4022,4100,4788,3163,3585,3903,4178,3863,4187)
> x <- c(8.274357007,8.231908244,8.327967858,8.441175705,8.29304914,8.368229038,8.329175442,8.395929104,8.560061092,8.502891407,8.657824321,8.629092284,8.333991247,8.509564164,8.557951184,8.466951975,8.409830673,8.653819789,8.653645315,8.525161361,8.716371865,8.497806478,8.58839695,8.626585568,8.43793351,8.461891876,8.519390775,8.575273402,8.329899293,8.43923165,8.462948177,8.347353412,8.540128163,8.344029572,8.323851131,8.537583881,8.366370302,8.429017501,8.245121966,8.617219505,8.35396813,8.250620082,8.387995253,8.481773246,8.391403185,8.427049642,8.320204598,8.475120415,8.272315148,8.240912542,8.390495538,8.29953457,8.318742253,8.473868067,8.059276223,8.184513753,8.269500767,8.337587942,8.259199363,8.339739766)
> par2 = '36'
> par1 = '0'
> #'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$_version), Office for Research Development and Education, URL http://www.wessa.net/rwasp_YOURPAGE.wasp/
> #Source of accompanying publication: Office for Research, Development, and Education
> #Technical description: 
> par1 <- as.numeric(par1)
> par2 <- as.numeric(par2)
> x <- as.ts(x)
> y <- as.ts(y)
> mylm <- lm(y~x)
> cbind(mylm$resid)
          [,1]
1   11.5248032
2   43.2173006
3  -18.3629383
4  -41.5940512
5   -0.2072134
6  -33.0220221
7  -18.9015578
8  -39.0691878
9   -1.8653680
10 -29.6549298
11  85.7407129
12  54.5210439
13 -20.9893888
14 -27.2597256
15  -3.1882130
16 -38.8176701
17 -40.8291420
18  81.1076164
19  80.9078466
20 -20.7967274
21 164.2106840
22 -31.3327537
23  18.1713877
24  52.0181704
25 -41.7236287
26 -39.6093775
27 -23.3297654
28   8.3629257
29 -19.2215217
30 -41.6775859
31 -39.4541331
32 -26.2753507
33 -13.4424041
34 -25.0304610
35 -16.4814491
36 -14.7729800
37 -32.4968749
38 -41.8300918
39  32.6121768
40  42.9758932
41 -28.6139490
42  28.3949064
43 -37.6803473
44 -35.7958646
45 -38.3109274
46 -41.8044487
47 -14.7565185
48 -37.2824599
49  12.8898495
50  35.9188235
51 -38.1479778
52  -3.9528284
53 -14.0494302
54 -37.5385291
55 238.9991316
56  86.5935246
57  14.7980905
58 -22.4857360
59  22.0457823
60 -23.3551399
> library(lattice)
> postscript(file="/var/www/html/rcomp/tmp/17qgj1256648781.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> plot(y,type='l',main='Run Sequence Plot of Y[t]',xlab='time or index',ylab='value')
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/2ej2x1256648781.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> plot(x,type='l',main='Run Sequence Plot of X[t]',xlab='time or index',ylab='value')
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/3vx041256648781.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> plot(x,y,main='Scatter Plot',xlab='X[t]',ylab='Y[t]')
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/4hhdn1256648781.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> plot(mylm$resid,type='l',main='Run Sequence Plot of e[t]',xlab='time or index',ylab='value')
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/5gh9y1256648781.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> hist(mylm$resid,main='Histogram of e[t]')
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/6sf2i1256648781.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> if (par1 > 0)
+ {
+ densityplot(~mylm$resid,col='black',main=paste('Density Plot of e[t]   bw = ',par1),bw=par1)
+ } else {
+ densityplot(~mylm$resid,col='black',main='Density Plot of e[t]')
+ }
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/7tzbl1256648781.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> qqnorm(mylm$resid,main='QQ plot of e[t]')
> qqline(mylm$resid)
> grid()
> dev.off()
null device 
          1 
> if (par2 > 0)
+ {
+ postscript(file="/var/www/html/rcomp/tmp/8euo31256648781.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
+ acf(mylm$resid,lag.max=par2,main='Residual Autocorrelation Function')
+ grid()
+ dev.off()
+ }
null device 
          1 
> summary(x)
   Min. 1st Qu.  Median    Mean 3rd Qu.    Max. 
  8.059   8.327   8.403   8.418   8.512   8.716 
> 
> #Note: the /var/www/html/rcomp/createtable file can be downloaded at http://www.wessa.net/cretab
> load(file="/var/www/html/rcomp/createtable")
> 
> a<-table.start()
> a<-table.row.start(a)
> a<-table.element(a,'Model: Y[t] = c + b X[t] + e[t]',2,TRUE)
> a<-table.row.end(a)
> a<-table.row.start(a)
> a<-table.element(a,'c',1,TRUE)
> a<-table.element(a,mylm$coeff[[1]])
> a<-table.row.end(a)
> a<-table.row.start(a)
> a<-table.element(a,'b',1,TRUE)
> a<-table.element(a,mylm$coeff[[2]])
> a<-table.row.end(a)
> a<-table.end(a)
> table.save(a,file="/var/www/html/rcomp/tmp/98isz1256648781.tab") 
> a<-table.start()
> a<-table.row.start(a)
> a<-table.element(a,'Descriptive Statistics about e[t]',2,TRUE)
> a<-table.row.end(a)
> a<-table.row.start(a)
> a<-table.element(a,'# observations',header=TRUE)
> a<-table.element(a,length(mylm$resid))
> a<-table.row.end(a)
> a<-table.row.start(a)
> a<-table.element(a,'minimum',header=TRUE)
> a<-table.element(a,min(mylm$resid))
> a<-table.row.end(a)
> a<-table.row.start(a)
> a<-table.element(a,'Q1',header=TRUE)
> a<-table.element(a,quantile(mylm$resid,0.25))
> a<-table.row.end(a)
> a<-table.row.start(a)
> a<-table.element(a,'median',header=TRUE)
> a<-table.element(a,median(mylm$resid))
> a<-table.row.end(a)
> a<-table.row.start(a)
> a<-table.element(a,'mean',header=TRUE)
> a<-table.element(a,mean(mylm$resid))
> a<-table.row.end(a)
> a<-table.row.start(a)
> a<-table.element(a,'Q3',header=TRUE)
> a<-table.element(a,quantile(mylm$resid,0.75))
> a<-table.row.end(a)
> a<-table.row.start(a)
> a<-table.element(a,'maximum',header=TRUE)
> a<-table.element(a,max(mylm$resid))
> a<-table.row.end(a)
> a<-table.end(a)
> table.save(a,file="/var/www/html/rcomp/tmp/10mk021256648781.tab") 
> 
> system("convert tmp/17qgj1256648781.ps tmp/17qgj1256648781.png")
> system("convert tmp/2ej2x1256648781.ps tmp/2ej2x1256648781.png")
> system("convert tmp/3vx041256648781.ps tmp/3vx041256648781.png")
> system("convert tmp/4hhdn1256648781.ps tmp/4hhdn1256648781.png")
> system("convert tmp/5gh9y1256648781.ps tmp/5gh9y1256648781.png")
> system("convert tmp/6sf2i1256648781.ps tmp/6sf2i1256648781.png")
> system("convert tmp/7tzbl1256648781.ps tmp/7tzbl1256648781.png")
> system("convert tmp/8euo31256648781.ps tmp/8euo31256648781.png")
> 
> 
> proc.time()
   user  system elapsed 
  1.605   1.181   1.926