R version 2.12.0 (2010-10-15)
Copyright (C) 2010 The R Foundation for Statistical Computing
ISBN 3-900051-07-0
Platform: i486-pc-linux-gnu (32-bit)

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> y <- c(63.152,60.106,72.616,73.159,68.848,77.056,62.246,60.777,64.513,58.353,56.511,44.554,71.414,65.719,80.997,69.826,65.386,75.589,65.520,59.003,63.961,59.716,57.520,42.886,69.805,64.656,80.353,71.321,76.577,81.580,71.127,63.478,48.152,69.236,57.038,43.621,69.551,72.009,72.140,81.519,73.310,80.406,70.697,59.328,68.281,70.041,51.244,46.538,61.443,62.256,73.117,74.155,65.191,77.889,68.688,59.983,65.470,65.089,54.795,47.123)
> x <- c(62.027,56.493,65.566,62.653,53.470,59.600,42.542,42.018,44.038,44.988,43.309,26.843,69.770,64.886,79.354,63.025,54.003,55.926,45.629,40.361,43.039,44.570,43.269,25.563,68.707,60.223,74.283,61.232,61.531,65.305,51.699,44.599,35.221,55.066,45.335,28.702,69.517,69.240,71.525,77.740,62.107,65.450,51.493,43.067,49.172,54.483,38.158,27.898,58.648,56.000,62.381,59.849,48.345,55.376,45.400,38.389,44.098,48.290,41.267,31.238)
> 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 
-8.4217 -4.3041  0.1506  3.7917 10.6246 

Coefficients:
            Estimate Std. Error t value Pr(>|t|)    
(Intercept) 31.38505    2.68554   11.69   <2e-16 ***
x            0.64792    0.04962   13.06   <2e-16 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 4.952 on 58 degrees of freedom
Multiple R-squared: 0.7462,	Adjusted R-squared: 0.7418 
F-statistic: 170.5 on 1 and 58 DF,  p-value: < 2.2e-16 

> postscript(file="/var/www/rcomp/tmp/1u9l81292675946.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/rcomp/tmp/2u9l81292675946.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 
-7.932e-15 -4.110e-15 -1.351e-15  9.380e-16  7.167e-14 

Coefficients:
             Estimate Std. Error   t value Pr(>|t|)    
(Intercept) 3.139e+01  5.474e-15 5.733e+15   <2e-16 ***
x           6.479e-01  1.011e-16 6.406e+15   <2e-16 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 1.009e-14 on 58 degrees of freedom
Multiple R-squared:     1,	Adjusted R-squared:     1 
F-statistic: 4.104e+31 on 1 and 58 DF,  p-value: < 2.2e-16 

> z2 <- as.data.frame(cbind(x,m$fitted.values))
> names(z2) <- list('x','Fitted')
> plot(z2,main='Scatterplot, lowess, and regression line')
> lines(lowess(z2),col='red')
> abline(m2)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/rcomp/tmp/35ikt1292675946.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m3 <- lm(m$residuals ~ x)
> summary(m3)

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

Residuals:
    Min      1Q  Median      3Q     Max 
-8.4217 -4.3041  0.1506  3.7917 10.6246 

Coefficients:
              Estimate Std. Error t value Pr(>|t|)
(Intercept) -1.235e-16  2.686e+00       0        1
x            8.152e-18  4.962e-02       0        1

Residual standard error: 4.952 on 58 degrees of freedom
Multiple R-squared: 3.519e-33,	Adjusted R-squared: -0.01724 
F-statistic: 2.041e-31 on 1 and 58 DF,  p-value: 1 

> z3 <- as.data.frame(cbind(x,m$residuals))
> names(z3) <- list('x','Residuals')
> plot(z3,main='Scatterplot, lowess, and regression line')
> lines(lowess(z3),col='red')
> abline(m3)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/rcomp/tmp/4g91w1292675946.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m4 <- lm(m$fitted.values ~ m$residuals)
> summary(m4)

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

Residuals:
     Min       1Q   Median       3Q      Max 
-17.4960  -6.0045   0.7582   6.2260  17.3564 

Coefficients:
              Estimate Std. Error t value Pr(>|t|)    
(Intercept)  6.544e+01  1.096e+00   59.71   <2e-16 ***
m$residuals -4.604e-16  2.251e-01    0.00        1    
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 8.49 on 58 degrees of freedom
Multiple R-squared: 1.932e-31,	Adjusted R-squared: -0.01724 
F-statistic: 1.121e-29 on 1 and 58 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/58jiz1292675946.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 
-8.0967 -2.7745 -0.3445  3.0838  9.0164 

Coefficients:
            Estimate Std. Error t value Pr(>|t|)    
(Intercept)  0.09626    0.49688   0.194    0.847    
Residuals    0.60912    0.10193   5.976 1.58e-07 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 3.816 on 57 degrees of freedom
  (2 observations deleted due to missingness)
Multiple R-squared: 0.3852,	Adjusted R-squared: 0.3744 
F-statistic: 35.71 on 1 and 57 DF,  p-value: 1.576e-07 

> abline(m5)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/rcomp/tmp/68jiz1292675946.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> hist(m$residuals,main='Residual Histogram',xlab='Residuals')
> dev.off()
null device 
          1 
> postscript(file="/var/www/rcomp/tmp/71ah21292675946.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> if (par1 > 0)
+ {
+ densityplot(~m$residuals,col='black',main=paste('Density Plot   bw = ',par1),bw=par1)
+ } else {
+ densityplot(~m$residuals,col='black',main='Density Plot')
+ }
> dev.off()
null device 
          1 
> postscript(file="/var/www/rcomp/tmp/81ah21292675946.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> acf(m$residuals,main='Residual Autocorrelation Function')
> dev.off()
null device 
          1 
> postscript(file="/var/www/rcomp/tmp/91ah21292675946.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/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/10qbew1292675946.tab") 
> 
> try(system("convert tmp/1u9l81292675946.ps tmp/1u9l81292675946.png",intern=TRUE))
character(0)
> try(system("convert tmp/2u9l81292675946.ps tmp/2u9l81292675946.png",intern=TRUE))
character(0)
> try(system("convert tmp/35ikt1292675946.ps tmp/35ikt1292675946.png",intern=TRUE))
character(0)
> try(system("convert tmp/4g91w1292675946.ps tmp/4g91w1292675946.png",intern=TRUE))
character(0)
> try(system("convert tmp/58jiz1292675946.ps tmp/58jiz1292675946.png",intern=TRUE))
character(0)
> try(system("convert tmp/68jiz1292675946.ps tmp/68jiz1292675946.png",intern=TRUE))
character(0)
> try(system("convert tmp/71ah21292675946.ps tmp/71ah21292675946.png",intern=TRUE))
character(0)
> try(system("convert tmp/81ah21292675946.ps tmp/81ah21292675946.png",intern=TRUE))
character(0)
> try(system("convert tmp/91ah21292675946.ps tmp/91ah21292675946.png",intern=TRUE))
character(0)
> 
> 
> proc.time()
   user  system elapsed 
  2.310   1.540   3.819