R version 2.8.0 (2008-10-20)
Copyright (C) 2008 The R Foundation for Statistical Computing
ISBN 3-900051-07-0

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> y <- c(50,20,10,50,30,50,70,20,30,10,50)
> x <- c(80,60,10,20,30,10,10,50,80,90,30)
> 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 
-34.015 -12.013   4.295   9.908  25.985 

Coefficients:
            Estimate Std. Error t value Pr(>|t|)   
(Intercept)  46.6313    10.1064   4.614  0.00127 **
x            -0.2616     0.1952  -1.340  0.21297   
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1 

Residual standard error: 18.94 on 9 degrees of freedom
Multiple R-squared: 0.1664,	Adjusted R-squared: 0.07378 
F-statistic: 1.797 on 1 and 9 DF,  p-value: 0.2130 

> postscript(file="/var/www/html/freestat/rcomp/tmp/1ukmo1290715171.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/freestat/rcomp/tmp/2ukmo1290715171.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 
-3.737e-15 -3.076e-15 -2.031e-15  1.866e-15  1.193e-14 

Coefficients:
              Estimate Std. Error    t value Pr(>|t|)    
(Intercept)  4.663e+01  2.561e-15  1.821e+16   <2e-16 ***
x           -2.616e-01  4.945e-17 -5.290e+15   <2e-16 ***
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1 

Residual standard error: 4.799e-15 on 9 degrees of freedom
Multiple R-squared:     1,	Adjusted R-squared:     1 
F-statistic: 2.798e+31 on 1 and 9 DF,  p-value: < 2.2e-16 

> z2 <- as.data.frame(cbind(x,m$fitted.values))
> names(z2) <- list('x','Fitted')
> plot(z2,main='Scatterplot, lowess, and regression line')
> lines(lowess(z2),col='red')
> abline(m2)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/freestat/rcomp/tmp/3nbl91290715171.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m3 <- lm(m$residuals ~ x)
> summary(m3)

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

Residuals:
    Min      1Q  Median      3Q     Max 
-34.015 -12.013   4.295   9.908  25.985 

Coefficients:
              Estimate Std. Error   t value Pr(>|t|)
(Intercept) -8.855e-16  1.011e+01 -8.76e-17        1
x            2.722e-17  1.952e-01  1.39e-16        1

Residual standard error: 18.94 on 9 degrees of freedom
Multiple R-squared: 3.554e-33,	Adjusted R-squared: -0.1111 
F-statistic: 3.199e-32 on 1 and 9 DF,  p-value: 1 

> z3 <- as.data.frame(cbind(x,m$residuals))
> names(z3) <- list('x','Residuals')
> plot(z3,main='Scatterplot, lowess, and regression line')
> lines(lowess(z3),col='red')
> abline(m3)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/freestat/rcomp/tmp/4fl2c1290715171.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m4 <- lm(m$fitted.values ~ m$residuals)
> summary(m4)

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

Residuals:
    Min      1Q  Median      3Q     Max 
-12.366  -7.134   3.329   7.253   8.561 

Coefficients:
             Estimate Std. Error  t value Pr(>|t|)    
(Intercept) 3.545e+01  2.551e+00    13.90 2.19e-07 ***
m$residuals 1.018e-16  1.489e-01 6.84e-16        1    
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1 

Residual standard error: 8.462 on 9 degrees of freedom
Multiple R-squared: 2.35e-31,	Adjusted R-squared: -0.1111 
F-statistic: 2.115e-30 on 1 and 9 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/freestat/rcomp/tmp/58ckx1290715171.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 
-34.1254  -4.0415   0.2943   5.7008  30.2528 

Coefficients:
            Estimate Std. Error t value Pr(>|t|)
(Intercept)  -2.7197     5.4564  -0.498    0.632
Residuals    -0.2587     0.3098  -0.835    0.428

Residual standard error: 17.22 on 8 degrees of freedom
  (2 observations deleted due to missingness)
Multiple R-squared: 0.08021,	Adjusted R-squared: -0.03476 
F-statistic: 0.6976 on 1 and 8 DF,  p-value: 0.4278 

> abline(m5)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/freestat/rcomp/tmp/6j3101290715171.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> hist(m$residuals,main='Residual Histogram',xlab='Residuals')
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/freestat/rcomp/tmp/7j3101290715171.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> if (par1 > 0)
+ {
+ densityplot(~m$residuals,col='black',main=paste('Density Plot   bw = ',par1),bw=par1)
+ } else {
+ densityplot(~m$residuals,col='black',main='Density Plot')
+ }
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/freestat/rcomp/tmp/8j3101290715171.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> acf(m$residuals,main='Residual Autocorrelation Function')
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/freestat/rcomp/tmp/9bu0l1290715171.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/freestat/rcomp/createtable file can be downloaded at http://www.wessa.net/cretab
> load(file="/var/www/html/freestat/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/freestat/rcomp/tmp/108mgu1290715171.tab") 
> 
> try(system("convert tmp/1ukmo1290715171.ps tmp/1ukmo1290715171.png",intern=TRUE))
character(0)
> try(system("convert tmp/2ukmo1290715171.ps tmp/2ukmo1290715171.png",intern=TRUE))
character(0)
> try(system("convert tmp/3nbl91290715171.ps tmp/3nbl91290715171.png",intern=TRUE))
character(0)
> try(system("convert tmp/4fl2c1290715171.ps tmp/4fl2c1290715171.png",intern=TRUE))
character(0)
> try(system("convert tmp/58ckx1290715171.ps tmp/58ckx1290715171.png",intern=TRUE))
character(0)
> try(system("convert tmp/6j3101290715171.ps tmp/6j3101290715171.png",intern=TRUE))
character(0)
> try(system("convert tmp/7j3101290715171.ps tmp/7j3101290715171.png",intern=TRUE))
character(0)
> try(system("convert tmp/8j3101290715171.ps tmp/8j3101290715171.png",intern=TRUE))
character(0)
> try(system("convert tmp/9bu0l1290715171.ps tmp/9bu0l1290715171.png",intern=TRUE))
character(0)
> 
> 
> proc.time()
   user  system elapsed 
  2.761   1.991   3.168