R version 2.11.1 (2010-05-31)
Copyright (C) 2010 The R Foundation for Statistical Computing
ISBN 3-900051-07-0

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> y <- c(43880,43110,44496,44164,40399,36763,37903,35532,35533,32110,33374,35462,33508,36080,34560,38737,38144,37594,36424,36843,37246,38661,40454,44928,48441,48140,45998,47369,49554,47510,44873,45344,42413,36912,43452,42142,44382,43636,44167,44423,42868,43908,42013,38846,35087,33026,34646,37135,37985,43121,43722,43630,42234,39351,39327,35704,30466,28155,29257,29998,32529,34787,33855,34556,31348,30805,28353,24514,21106,21346,23335,24379,26290,30084,29429,30632,27349,27264,27474,24482,21453,18788,19282,19713,21917,23812,23785,24696,24562,23580,24939,23899,21454,19761,19815,20780,23462,25005,24725,26198,27543,26471,26558,25317,22896,22248,23406,25073,27691,30599,31948,32946,34012,32936,32974,30951,29812,29010,31068,32447,34844,35676,35387,36488,35652,33488,32914,29781,27951)
> x <- c(586111,604378,600991,544686,537034,551531,563250,574761,580112,575093,557560,564478,580523,596594,586570,536214,523597,536535,536322,532638,528222,516141,501866,506174,517945,533590,528379,477580,469357,490243,492622,507561,516922,514258,509846,527070,541657,564591,555362,498662,511038,525919,531673,548854,560576,557274,565742,587625,619916,625809,619567,572942,572775,574205,579799,590072,593408,597141,595404,612117,628232,628884,620735,569028,567456,573100,584428,589379,590865,595454,594167,611324,612613,610763,593530,542722,536662,543599,555332,560854,562325,554788,547344,565464,577992,579714,569323,506971,500857,509127,509933,517009,519164,512238,509239,518585,522975,525192,516847,455626,454724,461251,470439,474605,476049,471067,470984,502831,512927,509673,484015,431328,436087,442867,447988,460070,467037,460170,464196,485025,501492,520564,488180,439148,441977,456608,461935,480961,492865)
> 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: Write here your technical program description (don't use hard returns!)
> par1 <- as.numeric(par1)
> library(lattice)
> z <- as.data.frame(cbind(x,y))
> m <- lm(y~x)
> summary(m)

Call:
lm(formula = y ~ x)

Residuals:
     Min       1Q   Median       3Q      Max 
-14464.3  -6378.5    165.7   5575.2  16669.6 

Coefficients:
             Estimate Std. Error t value Pr(>|t|)    
(Intercept) 3.086e+04  7.554e+03   4.086 7.73e-05 ***
x           4.307e-03  1.405e-02   0.307     0.76    
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 7962 on 127 degrees of freedom
Multiple R-squared: 0.0007394,	Adjusted R-squared: -0.007129 
F-statistic: 0.09397 on 1 and 127 DF,  p-value: 0.7597 

> postscript(file="/var/www/rcomp/tmp/1guul1289562475.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> plot(z,main='Scatterplot, lowess, and regression line')
> lines(lowess(z),col='red')
> abline(m)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/rcomp/tmp/2guul1289562475.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m2 <- lm(m$fitted.values ~ x)
> summary(m2)

Call:
lm(formula = m$fitted.values ~ x)

Residuals:
       Min         1Q     Median         3Q        Max 
-4.718e-12 -1.979e-12 -1.362e-13  1.135e-12  4.826e-11 

Coefficients:
             Estimate Std. Error   t value Pr(>|t|)    
(Intercept) 3.086e+04  4.538e-12 6.800e+15   <2e-16 ***
x           4.307e-03  8.440e-18 5.102e+14   <2e-16 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 4.783e-12 on 127 degrees of freedom
Multiple R-squared:     1,	Adjusted R-squared:     1 
F-statistic: 2.603e+29 on 1 and 127 DF,  p-value: < 2.2e-16 

> z2 <- as.data.frame(cbind(x,m$fitted.values))
> names(z2) <- list('x','Fitted')
> plot(z2,main='Scatterplot, lowess, and regression line')
> lines(lowess(z2),col='red')
> abline(m2)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/rcomp/tmp/3r3uo1289562475.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m3 <- lm(m$residuals ~ x)
> summary(m3)

Call:
lm(formula = m$residuals ~ x)

Residuals:
     Min       1Q   Median       3Q      Max 
-14464.3  -6378.5    165.7   5575.2  16669.6 

Coefficients:
              Estimate Std. Error   t value Pr(>|t|)
(Intercept)  4.991e-13  7.554e+03  6.61e-17        1
x           -1.316e-18  1.405e-02 -9.37e-17        1

Residual standard error: 7962 on 127 degrees of freedom
Multiple R-squared: 6.341e-34,	Adjusted R-squared: -0.007874 
F-statistic: 8.054e-32 on 1 and 127 DF,  p-value: 1 

> z3 <- as.data.frame(cbind(x,m$residuals))
> names(z3) <- list('x','Residuals')
> plot(z3,main='Scatterplot, lowess, and regression line')
> lines(lowess(z3),col='red')
> abline(m3)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/rcomp/tmp/4jct91289562475.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m4 <- lm(m$fitted.values ~ m$residuals)
> summary(m4)

Call:
lm(formula = m$fitted.values ~ m$residuals)

Residuals:
     Min       1Q   Median       3Q      Max 
-448.162 -144.388    3.533  169.537  402.619 

Coefficients:
             Estimate Std. Error  t value Pr(>|t|)    
(Intercept) 3.317e+04  1.907e+01     1739   <2e-16 ***
m$residuals 8.267e-18  2.414e-03 3.42e-15        1    
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 216.6 on 127 degrees of freedom
Multiple R-squared: 8.887e-30,	Adjusted R-squared: -0.007874 
F-statistic: 1.129e-27 on 1 and 127 DF,  p-value: 1 

> z4 <- as.data.frame(cbind(m$residuals,m$fitted.values))
> names(z4) <- list('Residuals','Fitted')
> plot(z4,main='Scatterplot, lowess, and regression line')
> lines(lowess(z4),col='red')
> abline(m4)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/rcomp/tmp/5c4su1289562475.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> myr <- as.ts(m$residuals)
> z5 <- as.data.frame(cbind(lag(myr,1),myr))
> names(z5) <- list('Lagged Residuals','Residuals')
> plot(z5,main='Lag plot')
> m5 <- lm(z5)
> summary(m5)

Call:
lm(formula = z5)

Residuals:
     Min       1Q   Median       3Q      Max 
-5034.85 -1346.61    28.19  1380.42  6841.82 

Coefficients:
              Estimate Std. Error t value Pr(>|t|)    
(Intercept) -119.63406  190.15196  -0.629     0.53    
Residuals      0.95744    0.02401  39.869   <2e-16 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 2151 on 126 degrees of freedom
  (2 observations deleted due to missingness)
Multiple R-squared: 0.9266,	Adjusted R-squared: 0.926 
F-statistic:  1590 on 1 and 126 DF,  p-value: < 2.2e-16 

> abline(m5)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/rcomp/tmp/65d9x1289562475.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> hist(m$residuals,main='Residual Histogram',xlab='Residuals')
> dev.off()
null device 
          1 
> postscript(file="/var/www/rcomp/tmp/75d9x1289562475.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> if (par1 > 0)
+ {
+ densityplot(~m$residuals,col='black',main=paste('Density Plot   bw = ',par1),bw=par1)
+ } else {
+ densityplot(~m$residuals,col='black',main='Density Plot')
+ }
> dev.off()
null device 
          1 
> postscript(file="/var/www/rcomp/tmp/85d9x1289562475.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> acf(m$residuals,main='Residual Autocorrelation Function')
> dev.off()
null device 
          1 
> postscript(file="/var/www/rcomp/tmp/9xm901289562475.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> qqnorm(x)
> qqline(x)
> grid()
> dev.off()
null device 
          1 
> 
> #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,'Simple Linear Regression',5,TRUE)
> a<-table.row.end(a)
> a<-table.row.start(a)
> a<-table.element(a,'Statistics',1,TRUE)
> a<-table.element(a,'Estimate',1,TRUE)
> a<-table.element(a,'S.D.',1,TRUE)
> a<-table.element(a,'T-STAT (H0: coeff=0)',1,TRUE)
> a<-table.element(a,'P-value (two-sided)',1,TRUE)
> a<-table.row.end(a)
> a<-table.row.start(a)
> a<-table.element(a,'constant term',header=TRUE)
> a<-table.element(a,m$coefficients[[1]])
> sd <- sqrt(vcov(m)[1,1])
> a<-table.element(a,sd)
> tstat <- m$coefficients[[1]]/sd
> a<-table.element(a,tstat)
> pval <- 2*(1-pt(abs(tstat),length(x)-2))
> a<-table.element(a,pval)
> a<-table.row.end(a)
> a<-table.row.start(a)
> a<-table.element(a,'slope',header=TRUE)
> a<-table.element(a,m$coefficients[[2]])
> sd <- sqrt(vcov(m)[2,2])
> a<-table.element(a,sd)
> tstat <- m$coefficients[[2]]/sd
> a<-table.element(a,tstat)
> pval <- 2*(1-pt(abs(tstat),length(x)-2))
> a<-table.element(a,pval)
> a<-table.row.end(a)
> a<-table.end(a)
> table.save(a,file="/var/www/rcomp/tmp/10ce691289562475.tab") 
> 
> try(system("convert tmp/1guul1289562475.ps tmp/1guul1289562475.png",intern=TRUE))
character(0)
> try(system("convert tmp/2guul1289562475.ps tmp/2guul1289562475.png",intern=TRUE))
character(0)
> try(system("convert tmp/3r3uo1289562475.ps tmp/3r3uo1289562475.png",intern=TRUE))
character(0)
> try(system("convert tmp/4jct91289562475.ps tmp/4jct91289562475.png",intern=TRUE))
character(0)
> try(system("convert tmp/5c4su1289562475.ps tmp/5c4su1289562475.png",intern=TRUE))
character(0)
> try(system("convert tmp/65d9x1289562475.ps tmp/65d9x1289562475.png",intern=TRUE))
character(0)
> try(system("convert tmp/75d9x1289562475.ps tmp/75d9x1289562475.png",intern=TRUE))
character(0)
> try(system("convert tmp/85d9x1289562475.ps tmp/85d9x1289562475.png",intern=TRUE))
character(0)
> try(system("convert tmp/9xm901289562475.ps tmp/9xm901289562475.png",intern=TRUE))
character(0)
> 
> 
> proc.time()
   user  system elapsed 
   2.79    0.98    3.77