R version 2.8.1 (2008-12-22)
Copyright (C) 2008 The R Foundation for Statistical Computing
ISBN 3-900051-07-0

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> y <- c(3.8,4.7,4.3,3.9,4,4.3,4.8,4.4,4.3,4.7,4.7,4.9,5,4.2,4.3,4.8,4.8,4.8,4.2,4.6,4.8,4.5,4.4,4.3,3.9,3.7,4,4.1,3.7,3.8,3.8,3.8,3.3,3.3,3.3,3.2,3.4,4.2,4.9,5.1,5.5,5.6,6.4,6.1,7.1,7.8,7.9,7.4,7.5,6.8,5.2,4.7,4.1,3.9,2.6,2.7,1.8,1,0.3,1.3)
> x <- c(25921,22201,19321,18225,16900,16129,14884,13689,12544,12769,22201,24649,24649,21609,18769,17424,15625,15129,13689,12996,12321,12544,20736,22500,22201,17956,15129,13456,13689,12321,11025,10404,9025,8649,15376,16900,15376,13225,11236,11025,11025,10201,9025,8649,7056,7569,13456,14400,13689,11881,11025,11449,11881,11881,11664,11449,9801,10609,17161,18769)
> 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   0.02419317
2   0.71492851
3   0.15291717
4  -0.30873715
5  -0.28327361
6  -0.02664540
7   0.40331845
8  -0.06390501
9  -0.22831577
10  0.18434136
11  0.71492851
12  1.05263816
13  1.15263816
14  0.18162618
15  0.12186500
16  0.54620345
17  0.44500261
18  0.41710066
19 -0.26390501
20  0.09711101
21  0.25913960
22 -0.02831577
23  0.33251649
24  0.33174844
25 -0.08507149
26 -0.52386946
27 -0.38289934
28 -0.37701218
29 -0.76390501
30 -0.74086040
31 -0.81376550
32 -0.84869920
33 -1.42627338
34 -1.44742486
35 -1.06900462
36 -1.08327361
37 -0.96900462
38 -0.29000684
39  0.29810408
40  0.48623450
41  0.88623450
42  0.93988125
43  1.67372662
44  1.35257514
45  2.26296261
46  2.99182088
47  3.42298782
48  2.97609154
49  3.03609499
50  2.23438787
51  0.58623450
52  0.11008617
53 -0.46561213
54 -0.66561213
55 -1.97781924
56 -1.88991383
57 -2.88262032
58 -3.63716714
59 -3.96859134
60 -2.87813500
> library(lattice)
> postscript(file="/var/www/rcomp/tmp/1vhy81256670530.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/rcomp/tmp/2oiao1256670530.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/rcomp/tmp/3cz7h1256670530.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/rcomp/tmp/4gze11256670530.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> plot(mylm$resid,type='l',main='Run Sequence Plot of e[t]',xlab='time or index',ylab='value')
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/rcomp/tmp/5v1bl1256670530.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> hist(mylm$resid,main='Histogram of e[t]')
> dev.off()
null device 
          1 
> postscript(file="/var/www/rcomp/tmp/6epft1256670530.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/rcomp/tmp/78mj71256670530.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/rcomp/tmp/821hw1256670530.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
+ acf(mylm$resid,lag.max=par2,main='Residual Autocorrelation Function')
+ grid()
+ dev.off()
+ }
null device 
          1 
> summary(x)
   Min. 1st Qu.  Median    Mean 3rd Qu.    Max. 
   7056   11400   13570   14620   17230   25920 
> 
> #Note: the /var/www/rcomp/createtable file can be downloaded at http://www.wessa.net/cretab
> load(file="/var/www/rcomp/createtable")
> 
> a<-table.start()
> a<-table.row.start(a)
> a<-table.element(a,'Model: Y[t] = c + b X[t] + e[t]',2,TRUE)
> a<-table.row.end(a)
> a<-table.row.start(a)
> a<-table.element(a,'c',1,TRUE)
> a<-table.element(a,mylm$coeff[[1]])
> a<-table.row.end(a)
> a<-table.row.start(a)
> a<-table.element(a,'b',1,TRUE)
> a<-table.element(a,mylm$coeff[[2]])
> a<-table.row.end(a)
> a<-table.end(a)
> table.save(a,file="/var/www/rcomp/tmp/9f6ox1256670530.tab") 
> a<-table.start()
> a<-table.row.start(a)
> a<-table.element(a,'Descriptive Statistics about e[t]',2,TRUE)
> a<-table.row.end(a)
> a<-table.row.start(a)
> a<-table.element(a,'# observations',header=TRUE)
> a<-table.element(a,length(mylm$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/rcomp/tmp/109is81256670531.tab") 
> 
> system("convert tmp/1vhy81256670530.ps tmp/1vhy81256670530.png")
> system("convert tmp/2oiao1256670530.ps tmp/2oiao1256670530.png")
> system("convert tmp/3cz7h1256670530.ps tmp/3cz7h1256670530.png")
> system("convert tmp/4gze11256670530.ps tmp/4gze11256670530.png")
> system("convert tmp/5v1bl1256670530.ps tmp/5v1bl1256670530.png")
> system("convert tmp/6epft1256670530.ps tmp/6epft1256670530.png")
> system("convert tmp/78mj71256670530.ps tmp/78mj71256670530.png")
> system("convert tmp/821hw1256670530.ps tmp/821hw1256670530.png")
> 
> 
> proc.time()
   user  system elapsed 
  1.690   1.510   3.229