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(17153,15579,16755,16585,16572,16325,17913,17572,17338,17087,15864,15554,16229,15180,16215,15801,15751,16477,17324,16919,16438,16239,15613,15821,15678,14671,15876,15563,15711,15583,16405,16701,16194,16024,14728,14776,15399,14286,15646,14543,15673,15171,15999,16260,16123,16144,15005,14806,15019,13909,15211,14385,15144,14659,15989,16262,16021,15662,14531,14544,15071,14236,14771,14804,15597,15418,16903,16350,16393,15685,14556,14850,15391,13704,15409,15098,15254,15522,16669,16238,16246,15424,14952,15008)
> 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 
-5385.7 -1820.8  -424.4  1957.9  7004.2 

Coefficients:
              Estimate Std. Error t value Pr(>|t|)    
(Intercept) -1.860e+04  5.024e+03  -3.702 0.000386 ***
x            1.580e+00  3.197e-01   4.942 4.03e-06 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 2507 on 82 degrees of freedom
Multiple R-squared: 0.2295,	Adjusted R-squared: 0.2201 
F-statistic: 24.42 on 1 and 82 DF,  p-value: 4.034e-06 

> postscript(file="/var/www/html/rcomp/tmp/1hgjv1292946388.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/2sp0y1292946388.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 
-1.436e-12 -2.574e-13  1.154e-14  2.524e-13  1.952e-12 

Coefficients:
              Estimate Std. Error    t value Pr(>|t|)    
(Intercept) -1.860e+04  8.872e-13 -2.096e+16   <2e-16 ***
x            1.580e+00  5.645e-17  2.798e+16   <2e-16 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 4.427e-13 on 82 degrees of freedom
Multiple R-squared:     1,	Adjusted R-squared:     1 
F-statistic: 7.83e+32 on 1 and 82 DF,  p-value: < 2.2e-16 

> z2 <- as.data.frame(cbind(x,m$fitted.values))
> names(z2) <- list('x','Fitted')
> plot(z2,main='Scatterplot, lowess, and regression line')
> lines(lowess(z2),col='red')
> abline(m2)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/3kyzj1292946388.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m3 <- lm(m$residuals ~ x)
> summary(m3)

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

Residuals:
    Min      1Q  Median      3Q     Max 
-5385.7 -1820.8  -424.4  1957.9  7004.2 

Coefficients:
              Estimate Std. Error   t value Pr(>|t|)
(Intercept)  2.565e-13  5.024e+03  5.11e-17        1
x           -2.899e-17  3.197e-01 -9.07e-17        1

Residual standard error: 2507 on 82 degrees of freedom
Multiple R-squared: 6.85e-33,	Adjusted R-squared: -0.0122 
F-statistic: 5.617e-31 on 1 and 82 DF,  p-value: 1 

> z3 <- as.data.frame(cbind(x,m$residuals))
> names(z3) <- list('x','Residuals')
> plot(z3,main='Scatterplot, lowess, and regression line')
> lines(lowess(z3),col='red')
> abline(m3)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/4v8g41292946388.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m4 <- lm(m$fitted.values ~ m$residuals)
> summary(m4)

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

Residuals:
     Min       1Q   Median       3Q      Max 
-3140.91 -1002.01   -39.19   880.19  3507.99 

Coefficients:
              Estimate Std. Error   t value Pr(>|t|)    
(Intercept)  6.189e+03  1.493e+02     41.47   <2e-16 ***
m$residuals -2.504e-18  6.027e-02 -4.16e-17        1    
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 1368 on 82 degrees of freedom
Multiple R-squared: 1.887e-31,	Adjusted R-squared: -0.0122 
F-statistic: 1.547e-29 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/5v8g41292946388.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 
-3485.0 -1916.3  -450.6  1579.6  6253.7 

Coefficients:
            Estimate Std. Error t value Pr(>|t|)    
(Intercept)   59.314    248.860   0.238 0.812218    
Residuals      0.368      0.100   3.679 0.000421 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 2267 on 81 degrees of freedom
  (2 observations deleted due to missingness)
Multiple R-squared: 0.1432,	Adjusted R-squared: 0.1326 
F-statistic: 13.53 on 1 and 81 DF,  p-value: 0.0004206 

> abline(m5)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/6ohy71292946388.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> hist(m$residuals,main='Residual Histogram',xlab='Residuals')
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/7ohy71292946388.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> if (par1 > 0)
+ {
+ densityplot(~m$residuals,col='black',main=paste('Density Plot   bw = ',par1),bw=par1)
+ } else {
+ densityplot(~m$residuals,col='black',main='Density Plot')
+ }
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/8y8xa1292946388.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> acf(m$residuals,main='Residual Autocorrelation Function')
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/9y8xa1292946388.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/10c0vj1292946388.tab") 
> 
> try(system("convert tmp/1hgjv1292946388.ps tmp/1hgjv1292946388.png",intern=TRUE))
character(0)
> try(system("convert tmp/2sp0y1292946388.ps tmp/2sp0y1292946388.png",intern=TRUE))
character(0)
> try(system("convert tmp/3kyzj1292946388.ps tmp/3kyzj1292946388.png",intern=TRUE))
character(0)
> try(system("convert tmp/4v8g41292946388.ps tmp/4v8g41292946388.png",intern=TRUE))
character(0)
> try(system("convert tmp/5v8g41292946388.ps tmp/5v8g41292946388.png",intern=TRUE))
character(0)
> try(system("convert tmp/6ohy71292946388.ps tmp/6ohy71292946388.png",intern=TRUE))
character(0)
> try(system("convert tmp/7ohy71292946388.ps tmp/7ohy71292946388.png",intern=TRUE))
character(0)
> try(system("convert tmp/8y8xa1292946388.ps tmp/8y8xa1292946388.png",intern=TRUE))
character(0)
> try(system("convert tmp/9y8xa1292946388.ps tmp/9y8xa1292946388.png",intern=TRUE))
character(0)
> 
> 
> proc.time()
   user  system elapsed 
  1.894   1.415   4.419