R version 2.9.0 (2009-04-17)
Copyright (C) 2009 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(100,102.03,103.45,103.33,103.42,104.40,105.89,107.19,108.95,110.95)
> x <- c(100,100.13,100.42,100.88,101.34,101.79,102.44,103.38,104.42,105.29)
> 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 
-1.431420 -0.230058 -0.002230  0.320557  1.280689 

Coefficients:
            Estimate Std. Error t value Pr(>|t|)    
(Intercept) -74.2570    13.5244  -5.491  0.00058 ***
x             1.7569     0.1326  13.253 1.00e-06 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 0.7322 on 8 degrees of freedom
Multiple R-squared: 0.9564,	Adjusted R-squared: 0.951 
F-statistic: 175.7 on 1 and 8 DF,  p-value: 1.002e-06 

> postscript(file="/var/www/html/rcomp/tmp/19ik41258098533.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/2el8t1258098533.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 
-1.769e-14 -4.701e-15 -8.361e-16  1.681e-15  2.917e-14 

Coefficients:
              Estimate Std. Error    t value Pr(>|t|)    
(Intercept) -7.426e+01  2.337e-13 -3.178e+14   <2e-16 ***
x            1.757e+00  2.290e-15  7.671e+14   <2e-16 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 1.265e-14 on 8 degrees of freedom
Multiple R-squared:     1,	Adjusted R-squared:     1 
F-statistic: 5.884e+29 on 1 and 8 DF,  p-value: < 2.2e-16 

> z2 <- as.data.frame(cbind(x,m$fitted.values))
> names(z2) <- list('x','Fitted')
> plot(z2,main='Scatterplot, lowess, and regression line')
> lines(lowess(z2),col='red')
> abline(m2)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/3bsgw1258098533.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m3 <- lm(m$residuals ~ x)
> summary(m3)

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

Residuals:
      Min        1Q    Median        3Q       Max 
-1.431420 -0.230058 -0.002230  0.320557  1.280689 

Coefficients:
              Estimate Std. Error   t value Pr(>|t|)
(Intercept)  6.292e-15  1.352e+01  4.65e-16        1
x           -6.030e-17  1.326e-01 -4.55e-16        1

Residual standard error: 0.7322 on 8 degrees of freedom
Multiple R-squared: 6.043e-32,	Adjusted R-squared: -0.125 
F-statistic: 4.834e-31 on 1 and 8 DF,  p-value: 1 

> z3 <- as.data.frame(cbind(x,m$residuals))
> names(z3) <- list('x','Residuals')
> plot(z3,main='Scatterplot, lowess, and regression line')
> lines(lowess(z3),col='red')
> abline(m3)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/4x8t61258098533.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m4 <- lm(m$fitted.values ~ m$residuals)
> summary(m4)

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

Residuals:
   Min     1Q Median     3Q    Max 
-3.530 -2.590 -0.780  1.996  5.764 

Coefficients:
              Estimate Std. Error   t value Pr(>|t|)    
(Intercept)  1.050e+02  1.085e+00     96.75 1.45e-13 ***
m$residuals -1.415e-14  1.657e+00 -8.54e-15        1    
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 3.431 on 8 degrees of freedom
Multiple R-squared: 1.287e-29,	Adjusted R-squared: -0.125 
F-statistic: 1.029e-28 on 1 and 8 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/52ss01258098533.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 
-0.55098 -0.35243  0.02327  0.10256  1.09413 

Coefficients:
            Estimate Std. Error t value Pr(>|t|)
(Intercept)  0.16078    0.17790   0.904    0.396
Residuals    0.06963    0.25925   0.269    0.796

Residual standard error: 0.5334 on 7 degrees of freedom
  (2 observations deleted due to missingness)
Multiple R-squared: 0.0102,	Adjusted R-squared: -0.1312 
F-statistic: 0.07214 on 1 and 7 DF,  p-value: 0.796 

> abline(m5)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/6thfm1258098533.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> hist(m$residuals,main='Residual Histogram',xlab='Residuals')
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/7hifc1258098533.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> if (par1 > 0)
+ {
+ densityplot(~m$residuals,col='black',main=paste('Density Plot   bw = ',par1),bw=par1)
+ } else {
+ densityplot(~m$residuals,col='black',main='Density Plot')
+ }
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/81un31258098533.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> acf(m$residuals,main='Residual Autocorrelation Function')
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/9slhh1258098533.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/108iju1258098533.tab") 
> 
> system("convert tmp/19ik41258098533.ps tmp/19ik41258098533.png")
> system("convert tmp/2el8t1258098533.ps tmp/2el8t1258098533.png")
> system("convert tmp/3bsgw1258098533.ps tmp/3bsgw1258098533.png")
> system("convert tmp/4x8t61258098533.ps tmp/4x8t61258098533.png")
> system("convert tmp/52ss01258098533.ps tmp/52ss01258098533.png")
> system("convert tmp/6thfm1258098533.ps tmp/6thfm1258098533.png")
> system("convert tmp/7hifc1258098533.ps tmp/7hifc1258098533.png")
> system("convert tmp/81un31258098533.ps tmp/81un31258098533.png")
> system("convert tmp/9slhh1258098533.ps tmp/9slhh1258098533.png")
> 
> 
> proc.time()
   user  system elapsed 
  1.759   1.317   2.759