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(53,86,66,67,76,78,53,80,74,76,79,54,67,54,87,58,75,88,64,57,66,68,54,56,86,80,76,69,78,67,80,54,71,84,74,71,63,71,76,69,74,75,54,52,69,68,65,75,74,75,72,67,63,62,63,76,74,67,73,70,53,77,77,52,54,80,66,73,63,69,67,54,81,69,84,80,70,69,77,54,79,30,71,73,72,77,75,69,54,70,73,54,77,82,80,80,69,78,81,76,76,73,85,66,79,68,76,71,54,46,82,74,88,38,76,86,54,70,69,90,54,76,89,76,73,79,90,74,81,72,71,66,77,65,74,82,54,63,54,64,69,54,84,86,77,89,76,60,75,73,85,79,71,72,69,78,54,69,81,84,84,69)
> x <- c(12,11,14,12,21,12,22,11,10,13,10,8,15,14,10,14,14,11,10,13,7,14,12,14,11,9,11,15,14,13,9,15,10,11,13,8,20,12,10,10,9,14,8,14,11,13,9,11,15,11,10,14,18,14,11,12,13,9,10,15,20,12,12,14,13,11,17,12,13,14,13,15,13,10,11,19,13,17,13,9,11,10,9,12,12,13,13,12,15,22,13,15,13,15,10,11,16,11,11,10,10,16,12,11,16,19,11,16,15,24,14,15,11,15,12,10,14,13,9,15,15,14,11,8,11,11,8,10,11,13,11,20,10,15,12,14,23,14,16,11,12,10,14,12,12,11,12,13,11,19,12,17,9,12,19,18,15,14,11,9,18,16)
> 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 
-43.419  -4.527   1.401   6.365  21.221 

Coefficients:
            Estimate Std. Error t value Pr(>|t|)    
(Intercept)  82.6996     3.4248  24.147  < 2e-16 ***
x            -0.9280     0.2575  -3.604 0.000418 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 10.35 on 160 degrees of freedom
Multiple R-squared: 0.07508,	Adjusted R-squared: 0.0693 
F-statistic: 12.99 on 1 and 160 DF,  p-value: 0.0004183 

> postscript(file="/var/www/html/rcomp/tmp/1p1d31289920034.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/html/rcomp/tmp/2p1d31289920034.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 
-9.173e-13  1.821e-15  5.731e-15  9.752e-15  1.308e-14 

Coefficients:
              Estimate Std. Error    t value Pr(>|t|)    
(Intercept)  8.270e+01  2.413e-14  3.427e+15   <2e-16 ***
x           -9.280e-01  1.814e-15 -5.115e+14   <2e-16 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 7.289e-14 on 160 degrees of freedom
Multiple R-squared:     1,	Adjusted R-squared:     1 
F-statistic: 2.616e+29 on 1 and 160 DF,  p-value: < 2.2e-16 

> z2 <- as.data.frame(cbind(x,m$fitted.values))
> names(z2) <- list('x','Fitted')
> plot(z2,main='Scatterplot, lowess, and regression line')
> lines(lowess(z2),col='red')
> abline(m2)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/30bdo1289920034.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m3 <- lm(m$residuals ~ x)
> summary(m3)

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

Residuals:
    Min      1Q  Median      3Q     Max 
-43.419  -4.527   1.401   6.365  21.221 

Coefficients:
              Estimate Std. Error   t value Pr(>|t|)
(Intercept)  4.531e-15  3.425e+00  1.32e-15        1
x           -2.211e-16  2.575e-01 -8.59e-16        1

Residual standard error: 10.35 on 160 degrees of freedom
Multiple R-squared: 4.572e-32,	Adjusted R-squared: -0.00625 
F-statistic: 7.315e-30 on 1 and 160 DF,  p-value: 1 

> z3 <- as.data.frame(cbind(x,m$residuals))
> names(z3) <- list('x','Residuals')
> plot(z3,main='Scatterplot, lowess, and regression line')
> lines(lowess(z3),col='red')
> abline(m3)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/4akc91289920034.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m4 <- lm(m$fitted.values ~ m$residuals)
> summary(m4)

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

Residuals:
     Min       1Q   Median       3Q      Max 
-10.2826  -1.0025   0.8535   1.7816   5.4936 

Coefficients:
             Estimate Std. Error  t value Pr(>|t|)    
(Intercept) 7.071e+01  2.316e-01    305.4   <2e-16 ***
m$residuals 1.032e-15  2.252e-02 4.58e-14        1    
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 2.947 on 160 degrees of freedom
Multiple R-squared: 1.063e-27,	Adjusted R-squared: -0.00625 
F-statistic: 1.7e-25 on 1 and 160 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/5mbbc1289920034.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 
-43.324  -4.799   1.525   6.264  20.932 

Coefficients:
            Estimate Std. Error t value Pr(>|t|)
(Intercept)  0.11507    0.80911   0.142    0.887
Residuals   -0.03239    0.07846  -0.413    0.680

Residual standard error: 10.27 on 159 degrees of freedom
  (2 observations deleted due to missingness)
Multiple R-squared: 0.00107,	Adjusted R-squared: -0.005212 
F-statistic: 0.1704 on 1 and 159 DF,  p-value: 0.6803 

> abline(m5)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/6mbbc1289920034.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> hist(m$residuals,main='Residual Histogram',xlab='Residuals')
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/7ekaf1289920034.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> if (par1 > 0)
+ {
+ densityplot(~m$residuals,col='black',main=paste('Density Plot   bw = ',par1),bw=par1)
+ } else {
+ densityplot(~m$residuals,col='black',main='Density Plot')
+ }
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/8ekaf1289920034.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> acf(m$residuals,main='Residual Autocorrelation Function')
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/9ekaf1289920034.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/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/10l37q1289920034.tab") 
> 
> try(system("convert tmp/1p1d31289920034.ps tmp/1p1d31289920034.png",intern=TRUE))
character(0)
> try(system("convert tmp/2p1d31289920034.ps tmp/2p1d31289920034.png",intern=TRUE))
character(0)
> try(system("convert tmp/30bdo1289920034.ps tmp/30bdo1289920034.png",intern=TRUE))
character(0)
> try(system("convert tmp/4akc91289920034.ps tmp/4akc91289920034.png",intern=TRUE))
character(0)
> try(system("convert tmp/5mbbc1289920034.ps tmp/5mbbc1289920034.png",intern=TRUE))
character(0)
> try(system("convert tmp/6mbbc1289920034.ps tmp/6mbbc1289920034.png",intern=TRUE))
character(0)
> try(system("convert tmp/7ekaf1289920034.ps tmp/7ekaf1289920034.png",intern=TRUE))
character(0)
> try(system("convert tmp/8ekaf1289920034.ps tmp/8ekaf1289920034.png",intern=TRUE))
character(0)
> try(system("convert tmp/9ekaf1289920034.ps tmp/9ekaf1289920034.png",intern=TRUE))
character(0)
> 
> 
> proc.time()
   user  system elapsed 
  1.876   1.412   2.568