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

R is free software and comes with ABSOLUTELY NO WARRANTY.
You are welcome to redistribute it under certain conditions.
Type 'license()' or 'licence()' for distribution details.

R is a collaborative project with many contributors.
Type 'contributors()' for more information and
'citation()' on how to cite R or R packages in publications.

Type 'demo()' for some demos, 'help()' for on-line help, or
'help.start()' for an HTML browser interface to help.
Type 'q()' to quit R.

> y <- c(611324,594167,595454,590865,589379,584428,573100,567456,569028,620735,628884,628232,612117,595404,597141,593408,590072,579799,574205,572775,572942,619567,625809,619916,587625,565742,557274,560576,548854,531673,525919,511038,498662,555362,564591,541657,527070,509846,514258,516922,507561,492622,490243,469357,477580,528379,533590,517945,506174,501866,516141,528222,532638,536322,536535,523597,536214,586570,596594,580523)
> x <- c(8.9,8.6,8.3,8.3,8.3,8.4,8.5,8.4,8.6,8.5,8.5,8.5,8.5,8.5,8.5,8.5,8.5,8.5,8.5,8.5,8.6,8.4,8.1,8,8,8,8,7.9,7.8,7.8,7.9,8.1,8,7.6,7.3,7,6.8,7,7.1,7.2,7.1,6.9,6.7,6.7,6.6,6.9,7.3,7.5,7.3,7.1,6.9,7.1,7.5,7.7,7.8,7.8,7.7,7.7,7.8,7.9)
> 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   -2919.13784
2   -3884.44317
3   13594.25150
4    9005.25150
5    7519.25150
6   -2828.98005
7  -19554.21161
8  -19800.98005
9  -29023.44317
10  28080.78839
11  36229.78839
12  35577.78839
13  19462.78839
14   2749.78839
15   4486.78839
16    753.78839
17  -2582.21161
18 -12855.21161
19 -18449.21161
20 -19879.21161
21 -25109.44317
22  32310.01995
23  54743.71462
24  54247.94618
25  21956.94618
26     73.94618
27  -8394.05382
28    305.17773
29  -6019.59071
30 -23200.59071
31 -34351.82227
32 -60027.28538
33 -67006.05382
34  11282.87240
35  36703.56707
36  29961.26175
37  26168.72486
38  -1849.73825
39  -2834.96981
40  -5568.20137
41  -9531.96981
42 -13676.50670
43  -5261.04358
44 -26147.04358
45 -12526.81203
46  22080.49330
47   5702.56707
48 -20736.89604
49 -21713.43293
50 -15226.96981
51   9842.49330
52  11129.03019
53  -6043.89604
54 -13154.35915
55 -18338.59071
56 -31276.59071
57 -13262.35915
58  37093.64085
59  41720.40929
60  20252.17773
> library(lattice)
> postscript(file="/var/www/html/rcomp/tmp/1a7mx1257266522.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/2pbw81257266522.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/3ttaq1257266522.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/4vok61257266522.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> plot(mylm$resid,type='l',main='Run Sequence Plot of e[t]',xlab='time or index',ylab='value')
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/590691257266522.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> hist(mylm$resid,main='Histogram of e[t]')
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/6egkd1257266522.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/7vxv11257266522.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/8o6fe1257266522.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
+ acf(mylm$resid,lag.max=par2,main='Residual Autocorrelation Function')
+ grid()
+ dev.off()
+ }
null device 
          1 
> summary(x)
   Min. 1st Qu.  Median    Mean 3rd Qu.    Max. 
   6.60    7.30    7.90    7.84    8.50    8.90 
> 
> #Note: the /var/www/html/rcomp/createtable file can be downloaded at http://www.wessa.net/cretab
> load(file="/var/www/html/rcomp/createtable")
> 
> a<-table.start()
> a<-table.row.start(a)
> a<-table.element(a,'Model: Y[t] = c + b X[t] + e[t]',2,TRUE)
> a<-table.row.end(a)
> a<-table.row.start(a)
> a<-table.element(a,'c',1,TRUE)
> a<-table.element(a,mylm$coeff[[1]])
> a<-table.row.end(a)
> a<-table.row.start(a)
> a<-table.element(a,'b',1,TRUE)
> a<-table.element(a,mylm$coeff[[2]])
> a<-table.row.end(a)
> a<-table.end(a)
> table.save(a,file="/var/www/html/rcomp/tmp/90ihg1257266522.tab") 
> a<-table.start()
> a<-table.row.start(a)
> a<-table.element(a,'Descriptive Statistics about e[t]',2,TRUE)
> a<-table.row.end(a)
> a<-table.row.start(a)
> a<-table.element(a,'# observations',header=TRUE)
> a<-table.element(a,length(mylm$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/107fyv1257266522.tab") 
> 
> system("convert tmp/1a7mx1257266522.ps tmp/1a7mx1257266522.png")
> system("convert tmp/2pbw81257266522.ps tmp/2pbw81257266522.png")
> system("convert tmp/3ttaq1257266522.ps tmp/3ttaq1257266522.png")
> system("convert tmp/4vok61257266522.ps tmp/4vok61257266522.png")
> system("convert tmp/590691257266522.ps tmp/590691257266522.png")
> system("convert tmp/6egkd1257266522.ps tmp/6egkd1257266522.png")
> system("convert tmp/7vxv11257266522.ps tmp/7vxv11257266522.png")
> system("convert tmp/8o6fe1257266522.ps tmp/8o6fe1257266522.png")
> 
> 
> proc.time()
   user  system elapsed 
  1.573   1.144   1.977