R version 2.7.2 (2008-08-25)
Copyright (C) 2008 The R Foundation for Statistical Computing
ISBN 3-900051-07-0

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(39.6,36.1,34.4,33.4,34.8,33.7,36.3)
> x <- c(4.8,-4.2,1.6,5.2,9.2,4.6,10.6)
> 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:
      1       2       3       4       5       6       7 
 4.1301  0.5769 -1.0888 -2.0675 -0.6439 -1.7711  0.8644 

Coefficients:
             Estimate Std. Error t value Pr(>|t|)    
(Intercept) 35.498293   1.246596   28.48    1e-06 ***
x           -0.005914   0.194199   -0.03    0.977    
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 2.33 on 5 degrees of freedom
Multiple R-squared: 0.0001854,	Adjusted R-squared: -0.1998 
F-statistic: 0.0009273 on 1 and 5 DF,  p-value: 0.9769 

> postscript(file="/var/www/html/rcomp/tmp/12l821225746189.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/2npcr1225746189.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:
         1          2          3          4          5          6          7 
 2.412e-14 -4.031e-15 -3.238e-15 -4.208e-15 -2.927e-15 -4.049e-15 -5.670e-15 

Coefficients:
              Estimate Std. Error    t value Pr(>|t|)    
(Intercept)  3.550e+01  6.254e-15  5.676e+15   <2e-16 ***
x           -5.914e-03  9.743e-16 -6.069e+12   <2e-16 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 1.169e-14 on 5 degrees of freedom
Multiple R-squared:     1,	Adjusted R-squared:     1 
F-statistic: 3.684e+25 on 1 and 5 DF,  p-value: < 2.2e-16 

> z2 <- as.data.frame(cbind(x,m$fitted.values))
> names(z2) <- list('x','Fitted')
> plot(z2,main='Scatterplot, lowess, and regression line')
> lines(lowess(z2),col='red')
> abline(m2)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/3n8kf1225746189.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m3 <- lm(m$residuals ~ x)
> summary(m3)

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

Residuals:
      1       2       3       4       5       6       7 
 4.1301  0.5769 -1.0888 -2.0675 -0.6439 -1.7711  0.8644 

Coefficients:
              Estimate Std. Error   t value Pr(>|t|)
(Intercept) -2.937e-16  1.247e+00 -2.36e-16        1
x           -9.253e-18  1.942e-01 -4.76e-17        1

Residual standard error: 2.33 on 5 degrees of freedom
Multiple R-squared: 7.134e-33,	Adjusted R-squared:  -0.2 
F-statistic: 3.567e-32 on 1 and 5 DF,  p-value: 1 

> z3 <- as.data.frame(cbind(x,m$residuals))
> names(z3) <- list('x','Residuals')
> plot(z3,main='Scatterplot, lowess, and regression line')
> lines(lowess(z3),col='red')
> abline(m3)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/4ujjq1225746189.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m4 <- lm(m$fitted.values ~ m$residuals)
> summary(m4)

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

Residuals:
         1          2          3          4          5          6          7 
-0.0015206  0.0517021  0.0174030 -0.0038861 -0.0275407 -0.0003379 -0.0358197 

Coefficients:
             Estimate Std. Error  t value Pr(>|t|)    
(Intercept) 3.547e+01  1.199e-02     2957   <2e-16 ***
m$residuals 4.187e-15  6.090e-03 6.87e-13        1    
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 0.03173 on 5 degrees of freedom
Multiple R-squared: 1.304e-25,	Adjusted R-squared:  -0.2 
F-statistic: 6.518e-25 on 1 and 5 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/5b86t1225746189.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:
      2       3       4       5       6       7 
 0.5575 -0.5199 -1.2227  0.3630 -1.0000  1.8222 

Coefficients:
            Estimate Std. Error t value Pr(>|t|)
(Intercept)  -0.6645     0.5228  -1.271    0.273
Residuals     0.1656     0.2492   0.664    0.543

Residual standard error: 1.278 on 4 degrees of freedom
  (2 observations deleted due to missingness)
Multiple R-squared: 0.0994,	Adjusted R-squared: -0.1257 
F-statistic: 0.4415 on 1 and 4 DF,  p-value: 0.5427 

> abline(m5)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/69lox1225746189.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> hist(m$residuals,main='Residual Histogram',xlab='Residuals')
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/7zuht1225746189.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> if (par1 > 0)
+ {
+ densityplot(~m$residuals,col='black',main=paste('Density Plot   bw = ',par1),bw=par1)
+ } else {
+ densityplot(~m$residuals,col='black',main='Density Plot')
+ }
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/8p3ji1225746189.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> acf(m$residuals,main='Residual Autocorrelation Function')
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/9llmm1225746189.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/10917h1225746189.tab") 
> 
> system("convert tmp/12l821225746189.ps tmp/12l821225746189.png")
> system("convert tmp/2npcr1225746189.ps tmp/2npcr1225746189.png")
> system("convert tmp/3n8kf1225746189.ps tmp/3n8kf1225746189.png")
> system("convert tmp/4ujjq1225746189.ps tmp/4ujjq1225746189.png")
> system("convert tmp/5b86t1225746189.ps tmp/5b86t1225746189.png")
> system("convert tmp/69lox1225746189.ps tmp/69lox1225746189.png")
> system("convert tmp/7zuht1225746189.ps tmp/7zuht1225746189.png")
> system("convert tmp/8p3ji1225746189.ps tmp/8p3ji1225746189.png")
> system("convert tmp/9llmm1225746189.ps tmp/9llmm1225746189.png")
> 
> 
> proc.time()
   user  system elapsed 
  1.964   1.305   2.319