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(14.44,22.09,18.49,15.21,16,18.49,23.04,19.36,18.49,22.09,22.09,24.01,25,17.64,18.49,23.04,23.04,23.04,17.64,21.16,23.04,20.25,19.36,18.49,15.21,13.69,16,16.81,13.69,14.44,14.44,14.44,10.89,10.89,10.89,10.24,11.56,17.64,24.01,26.01,30.25,31.36,40.96,37.21,50.41,60.84,62.41,54.76,56.25,46.24,27.04,22.09,16.81,15.21,6.76,7.29,3.24,1,0.09,1.69)
> 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    0.68513540
2    5.74914828
3    0.14709374
4   -3.89479924
5   -4.02588336
6   -2.07185005
7    1.61267846
8   -2.89803514
9   -4.56399086
10  -0.80758035
11   5.74914828
12   9.37089464
13  10.36089464
14   0.88761485
15  -0.23663338
16   3.37837934
17   2.12779041
18   1.78299213
19  -4.61803514
20  -1.57977952
21  -0.16901105
22  -2.80399086
23   2.00074207
24   2.35700047
25  -1.13085172
26  -5.60179669
27  -5.25700787
28  -5.61000692
29  -8.56803514
30  -8.76901105
31  -9.66993560
32 -10.10162861
33 -14.61025125
34 -14.87163059
35 -10.19530389
36  -9.78588336
37  -9.52530389
38  -4.94058838
39   0.04674270
40   1.90006440
41   6.14006440
42   6.67725435
43  15.45974875
44  11.44836941
45  23.54098299
46  34.32759895
47  39.98999308
48  32.99622207
49  33.99196486
50  22.72511950
51   2.93006440
52  -1.72518868
53  -6.70488050
54  -8.30488050
55 -16.90572975
56 -16.52518868
57 -21.72080878
58 -23.39912125
59 -19.75444717
60 -17.03663338
> library(lattice)
> postscript(file="/var/www/rcomp/tmp/1ke751256670664.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/2e9pi1256670664.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/3v2un1256670664.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/49wfn1256670664.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> plot(mylm$resid,type='l',main='Run Sequence Plot of e[t]',xlab='time or index',ylab='value')
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/rcomp/tmp/594fd1256670664.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> hist(mylm$resid,main='Histogram of e[t]')
> dev.off()
null device 
          1 
> postscript(file="/var/www/rcomp/tmp/601ok1256670664.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/78fws1256670664.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/8gqkn1256670664.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$coeff[[2]])
> a<-table.row.end(a)
> a<-table.end(a)
> table.save(a,file="/var/www/rcomp/tmp/9f9q21256670664.tab") 
> a<-table.start()
> a<-table.row.start(a)
> a<-table.element(a,'Descriptive Statistics about e[t]',2,TRUE)
> a<-table.row.end(a)
> a<-table.row.start(a)
> a<-table.element(a,'# observations',header=TRUE)
> a<-table.element(a,length(mylm$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/107wnm1256670664.tab") 
> 
> system("convert tmp/1ke751256670664.ps tmp/1ke751256670664.png")
> system("convert tmp/2e9pi1256670664.ps tmp/2e9pi1256670664.png")
> system("convert tmp/3v2un1256670664.ps tmp/3v2un1256670664.png")
> system("convert tmp/49wfn1256670664.ps tmp/49wfn1256670664.png")
> system("convert tmp/594fd1256670664.ps tmp/594fd1256670664.png")
> system("convert tmp/601ok1256670664.ps tmp/601ok1256670664.png")
> system("convert tmp/78fws1256670664.ps tmp/78fws1256670664.png")
> system("convert tmp/8gqkn1256670664.ps tmp/8gqkn1256670664.png")
> 
> 
> proc.time()
   user  system elapsed 
  1.820   1.620   3.231