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(3111,3995,5245,5588,10681,10516,7496,9935,10249,6271,3616,3724,2886,3318,4166,6401,9209,9820,7470,8207,9564,5309,3385,3706,2733,3045,3449,5542,10072,9418,7516,7840,10081,4956,3641,3970,2931,3170,3889,4850,8037,12370,6712,7297,10613,5184,3506,3810,2692,3073,3713,4555,7807,10869,9682,7704,9826,5456,3677,3431,2765,3483,3445,6081,8767,9407,6551,12480,9530,5960,3252,3717,2642,2989,3607,5366,8898,9435,7328,8594,11349,5797,3621,3851)
> x <- c(5140,4749,3635,4305,5805,4260,3869,7325,9280,6222,3272,7598,1345,1900,1480,1472,3823,4454,3357,5393,8329,4152,4042,7747,1451,911,406,1387,2150,1577,2642,4273,8064,3243,1112,2280,505,744,1369,531,1041,2076,577,5080,6584,3761,294,5020,1141,3805,2127,2531,3682,3263,2798,5936,10568,5296,1870,4390,3707,5201,3748,5282,5349,6249,5517,8640,15767,8850,5582,6496,3255,6189,6452,5099,6833,7046,7739,10142,16054,7721,6182,6490)
> 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 
-3835.2 -2004.5  -675.5  1907.9  7197.0 

Coefficients:
             Estimate Std. Error t value Pr(>|t|)    
(Intercept) 4.340e+03  5.087e+02   8.531 6.17e-13 ***
x           4.014e-01  9.207e-02   4.360 3.75e-05 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 2573 on 82 degrees of freedom
Multiple R-squared: 0.1882,	Adjusted R-squared: 0.1783 
F-statistic: 19.01 on 1 and 82 DF,  p-value: 3.747e-05 

> postscript(file="/var/www/html/rcomp/tmp/1li3p1292687976.ps",horizontal=F,onefile=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/html/rcomp/tmp/2li3p1292687976.ps",horizontal=F,onefile=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 
-1.067e-12 -5.044e-13 -2.371e-13  3.636e-14  1.646e-11 

Coefficients:
             Estimate Std. Error   t value Pr(>|t|)    
(Intercept) 4.340e+03  3.809e-13 1.139e+16   <2e-16 ***
x           4.014e-01  6.894e-17 5.823e+15   <2e-16 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 1.927e-12 on 82 degrees of freedom
Multiple R-squared:     1,	Adjusted R-squared:     1 
F-statistic: 3.39e+31 on 1 and 82 DF,  p-value: < 2.2e-16 

> z2 <- as.data.frame(cbind(x,m$fitted.values))
> names(z2) <- list('x','Fitted')
> plot(z2,main='Scatterplot, lowess, and regression line')
> lines(lowess(z2),col='red')
> abline(m2)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/3ju9h1292687976.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m3 <- lm(m$residuals ~ x)
> summary(m3)

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

Residuals:
    Min      1Q  Median      3Q     Max 
-3835.2 -2004.5  -675.5  1907.9  7197.0 

Coefficients:
              Estimate Std. Error   t value Pr(>|t|)
(Intercept) -1.477e-13  5.087e+02 -2.90e-16        1
x           -3.255e-17  9.207e-02 -3.53e-16        1

Residual standard error: 2573 on 82 degrees of freedom
Multiple R-squared: 3.39e-33,	Adjusted R-squared: -0.0122 
F-statistic: 2.78e-31 on 1 and 82 DF,  p-value: 1 

> z3 <- as.data.frame(cbind(x,m$residuals))
> names(z3) <- list('x','Residuals')
> plot(z3,main='Scatterplot, lowess, and regression line')
> lines(lowess(z3),col='red')
> abline(m3)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/4611d1292687976.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m4 <- lm(m$fitted.values ~ m$residuals)
> summary(m4)

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

Residuals:
    Min      1Q  Median      3Q     Max 
-1731.6  -988.9  -136.9   650.9  4595.2 

Coefficients:
              Estimate Std. Error   t value Pr(>|t|)    
(Intercept)  6.189e+03  1.352e+02     45.79   <2e-16 ***
m$residuals -9.698e-17  5.317e-02 -1.82e-15        1    
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 1239 on 82 degrees of freedom
Multiple R-squared: 2.478e-30,	Adjusted R-squared: -0.0122 
F-statistic: 2.032e-28 on 1 and 82 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/html/rcomp/tmp/5za0g1292687976.ps",horizontal=F,onefile=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 
-4330.8 -1412.5  -185.9  1005.9  4952.3 

Coefficients:
             Estimate Std. Error t value Pr(>|t|)    
(Intercept)  14.31152  206.01966   0.069    0.945    
Residuals     0.68009    0.08128   8.368 1.41e-12 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 1877 on 81 degrees of freedom
  (2 observations deleted due to missingness)
Multiple R-squared: 0.4636,	Adjusted R-squared: 0.457 
F-statistic: 70.02 on 1 and 81 DF,  p-value: 1.415e-12 

> abline(m5)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/6a1i11292687976.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> hist(m$residuals,main='Residual Histogram',xlab='Residuals')
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/7a1i11292687976.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> if (par1 > 0)
+ {
+ densityplot(~m$residuals,col='black',main=paste('Density Plot   bw = ',par1),bw=par1)
+ } else {
+ densityplot(~m$residuals,col='black',main='Density Plot')
+ }
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/8a1i11292687976.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> acf(m$residuals,main='Residual Autocorrelation Function')
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/9lah41292687976.ps",horizontal=F,onefile=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/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,'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/html/rcomp/tmp/10h2fv1292687976.tab") 
> 
> try(system("convert tmp/1li3p1292687976.ps tmp/1li3p1292687976.png",intern=TRUE))
character(0)
> try(system("convert tmp/2li3p1292687976.ps tmp/2li3p1292687976.png",intern=TRUE))
character(0)
> try(system("convert tmp/3ju9h1292687976.ps tmp/3ju9h1292687976.png",intern=TRUE))
character(0)
> try(system("convert tmp/4611d1292687976.ps tmp/4611d1292687976.png",intern=TRUE))
character(0)
> try(system("convert tmp/5za0g1292687976.ps tmp/5za0g1292687976.png",intern=TRUE))
character(0)
> try(system("convert tmp/6a1i11292687976.ps tmp/6a1i11292687976.png",intern=TRUE))
character(0)
> try(system("convert tmp/7a1i11292687976.ps tmp/7a1i11292687976.png",intern=TRUE))
character(0)
> try(system("convert tmp/8a1i11292687976.ps tmp/8a1i11292687976.png",intern=TRUE))
character(0)
> try(system("convert tmp/9lah41292687976.ps tmp/9lah41292687976.png",intern=TRUE))
character(0)
> 
> 
> proc.time()
   user  system elapsed 
  1.894   1.449   4.853