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)

R is free software and comes with ABSOLUTELY NO WARRANTY.
You are welcome to redistribute it under certain conditions.
Type 'license()' or 'licence()' for distribution details.

R is a collaborative project with many contributors.
Type 'contributors()' for more information and
'citation()' on how to cite R or R packages in publications.

Type 'demo()' for some demos, 'help()' for on-line help, or
'help.start()' for an HTML browser interface to help.
Type 'q()' to quit R.

> y <- c(41,38,37,42,40,43,40,45,45,44,42,32,32,41,38,38,24,46,42,46,43,38,39,40,37,41,46,26,37,39,44,38,38,38,33,43,41,49,45,31,30,38,39,40,36,49,41,18,42,41,43,46,41,39,42,35,36,48,41,47,41,31,36,46,44,43,40,40,46,39,44,38,39,41,39,40,44,42,46,44,37,39,40,42,37,33,35,42,36,44,45,47,40,49,48,29,45,29,41,34,38,37,48,39,34,35,41,43,41,39,36,32,46,42,42,45,39,45,48,28,35,38,42,36,37,38,43,35,36,33,39,32,45,35,38,36,42,41,47,35,43,40,46,44,35,29)
> x <- c(15,15,14,10,18,14,11,17,21,7,18,13,13,18,12,9,11,11,16,12,14,13,17,13,13,12,12,12,9,17,18,12,12,9,13,11,13,6,11,18,18,15,11,14,12,8,11,10,17,16,13,15,16,7,16,13,15,12,12,24,15,8,18,17,15,11,12,14,11,10,11,12,6,15,14,16,16,11,15,12,13,14,12,17,11,13,9,12,10,9,11,9,16,14,24,9,11,14,12,8,5,10,15,10,18,12,13,11,12,7,17,9,10,12,10,7,13,9,9,12,11,14,8,11,11,12,20,8,11,15,12,12,12,11,9,8,12,13,17,16,11,9,11,11,13,15)
> 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 
-21.2446  -2.6898   0.4038   3.6070  10.3490 

Coefficients:
            Estimate Std. Error t value Pr(>|t|)    
(Intercept)  37.7606     1.7090  22.095   <2e-16 ***
x             0.1484     0.1307   1.136    0.258    
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 5.278 on 144 degrees of freedom
Multiple R-squared: 0.008877,	Adjusted R-squared: 0.001994 
F-statistic:  1.29 on 1 and 144 DF,  p-value: 0.258 

> postscript(file="/var/www/rcomp/tmp/1rj7f1292679504.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/27dv61292679504.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 
-1.688e-16 -7.130e-17 -3.570e-17 -1.230e-17  5.648e-15 

Coefficients:
             Estimate Std. Error   t value Pr(>|t|)    
(Intercept) 3.776e+01  1.538e-16 2.455e+17   <2e-16 ***
x           1.484e-01  1.176e-17 1.262e+16   <2e-16 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 4.75e-16 on 144 degrees of freedom
Multiple R-squared:     1,	Adjusted R-squared:     1 
F-statistic: 1.593e+32 on 1 and 144 DF,  p-value: < 2.2e-16 

> z2 <- as.data.frame(cbind(x,m$fitted.values))
> names(z2) <- list('x','Fitted')
> plot(z2,main='Scatterplot, lowess, and regression line')
> lines(lowess(z2),col='red')
> abline(m2)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/rcomp/tmp/3ck5l1292679504.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m3 <- lm(m$residuals ~ x)
> summary(m3)

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

Residuals:
     Min       1Q   Median       3Q      Max 
-21.2446  -2.6898   0.4038   3.6070  10.3490 

Coefficients:
              Estimate Std. Error t value Pr(>|t|)
(Intercept)  2.197e-16  1.709e+00       0        1
x           -2.570e-17  1.307e-01       0        1

Residual standard error: 5.278 on 144 degrees of freedom
Multiple R-squared: 5.476e-34,	Adjusted R-squared: -0.006944 
F-statistic: 7.886e-32 on 1 and 144 DF,  p-value: 1 

> z3 <- as.data.frame(cbind(x,m$residuals))
> names(z3) <- list('x','Residuals')
> plot(z3,main='Scatterplot, lowess, and regression line')
> lines(lowess(z3),col='red')
> abline(m3)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/rcomp/tmp/4ck5l1292679504.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m4 <- lm(m$fitted.values ~ m$residuals)
> summary(m4)

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

Residuals:
     Min       1Q   Median       3Q      Max 
-1.13440 -0.24396 -0.09555  0.34967  1.68534 

Coefficients:
              Estimate Std. Error t value Pr(>|t|)    
(Intercept)  3.964e+01  4.134e-02   958.8   <2e-16 ***
m$residuals -2.602e-19  7.887e-03     0.0        1    
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 0.4995 on 144 degrees of freedom
Multiple R-squared: 2.248e-29,	Adjusted R-squared: -0.006944 
F-statistic: 3.237e-27 on 1 and 144 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/5nbm61292679504.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 
-21.2745  -2.7816   0.3806   3.6078  10.3263 

Coefficients:
             Estimate Std. Error t value Pr(>|t|)
(Intercept) -0.008812   0.439731  -0.020    0.984
Residuals    0.024070   0.084886   0.284    0.777

Residual standard error: 5.295 on 143 degrees of freedom
  (2 observations deleted due to missingness)
Multiple R-squared: 0.0005619,	Adjusted R-squared: -0.006427 
F-statistic: 0.0804 on 1 and 143 DF,  p-value: 0.7772 

> abline(m5)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/rcomp/tmp/6y24r1292679504.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> hist(m$residuals,main='Residual Histogram',xlab='Residuals')
> dev.off()
null device 
          1 
> postscript(file="/var/www/rcomp/tmp/7y24r1292679504.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> if (par1 > 0)
+ {
+ densityplot(~m$residuals,col='black',main=paste('Density Plot   bw = ',par1),bw=par1)
+ } else {
+ densityplot(~m$residuals,col='black',main='Density Plot')
+ }
> dev.off()
null device 
          1 
> postscript(file="/var/www/rcomp/tmp/89c3c1292679504.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> acf(m$residuals,main='Residual Autocorrelation Function')
> dev.off()
null device 
          1 
> postscript(file="/var/www/rcomp/tmp/99c3c1292679504.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/10n31l1292679504.tab") 
> 
> try(system("convert tmp/1rj7f1292679504.ps tmp/1rj7f1292679504.png",intern=TRUE))
character(0)
> try(system("convert tmp/27dv61292679504.ps tmp/27dv61292679504.png",intern=TRUE))
character(0)
> try(system("convert tmp/3ck5l1292679504.ps tmp/3ck5l1292679504.png",intern=TRUE))
character(0)
> try(system("convert tmp/4ck5l1292679504.ps tmp/4ck5l1292679504.png",intern=TRUE))
character(0)
> try(system("convert tmp/5nbm61292679504.ps tmp/5nbm61292679504.png",intern=TRUE))
character(0)
> try(system("convert tmp/6y24r1292679504.ps tmp/6y24r1292679504.png",intern=TRUE))
character(0)
> try(system("convert tmp/7y24r1292679504.ps tmp/7y24r1292679504.png",intern=TRUE))
character(0)
> try(system("convert tmp/89c3c1292679504.ps tmp/89c3c1292679504.png",intern=TRUE))
character(0)
> try(system("convert tmp/99c3c1292679504.ps tmp/99c3c1292679504.png",intern=TRUE))
character(0)
> 
> 
> proc.time()
   user  system elapsed 
  2.530   1.600   4.689