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(101,100.88,100.55,100.83,101.51,102.16,102.39,102.54,102.85,103.47,103.57,103.69,103.5,103.47,103.45,103.48,103.93,103.89,104.4,104.79,104.77,105.13,105.26,104.96,104.75,105.01,105.15,105.2,105.77,105.78,106.26,106.13,106.12,106.57,106.44,106.54,107.1,108.1,108.4,108.84,109.62,110.42,110.67,111.66,112.28,112.87,112.18,112.36,112.16,111.49,111.25,111.36,111.74,111.1,111.33,111.25,111.04,110.97,111.31,111.02)
> x <- c(100.64,100.63,100.43,100.8,101.33,101.88,101.85,102.04,102.22,102.63,102.65,102.54,102.37,102.68,102.76,102.82,103.31,103.23,103.6,103.95,103.93,104.25,104.38,104.36,104.32,104.58,104.68,104.92,105.46,105.23,105.58,105.34,105.28,105.7,105.67,105.71,106.19,106.93,107.44,107.85,108.71,109.32,109.49,110.2,110.62,111.22,110.88,111.15,111.29,111.09,111.24,111.45,111.75,111.07,111.17,110.96,110.5,110.48,110.66,110.46)
> 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 
-0.85889 -0.23875  0.02999  0.22769  0.90479 

Coefficients:
            Estimate Std. Error t value Pr(>|t|)    
(Intercept) -1.06827    1.51008  -0.707    0.482    
x            1.01648    0.01422  71.460   <2e-16 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 0.3984 on 58 degrees of freedom
Multiple R-squared: 0.9888,	Adjusted R-squared: 0.9886 
F-statistic:  5106 on 1 and 58 DF,  p-value: < 2.2e-16 

> postscript(file="/var/www/html/freestat/rcomp/tmp/1faj31256749143.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/2ly6n1256749143.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 
-8.172e-15 -4.722e-15 -1.629e-15  1.821e-15  7.338e-14 

Coefficients:
              Estimate Std. Error    t value Pr(>|t|)    
(Intercept) -1.068e+00  4.053e-14 -2.636e+13   <2e-16 ***
x            1.016e+00  3.818e-16  2.662e+15   <2e-16 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 1.069e-14 on 58 degrees of freedom
Multiple R-squared:     1,	Adjusted R-squared:     1 
F-statistic: 7.089e+30 on 1 and 58 DF,  p-value: < 2.2e-16 

> z2 <- as.data.frame(cbind(x,m$fitted.values))
> names(z2) <- list('x','Fitted')
> plot(z2,main='Scatterplot, lowess, and regression line')
> lines(lowess(z2),col='red')
> abline(m2)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/freestat/rcomp/tmp/3prkv1256749143.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m3 <- lm(m$residuals ~ x)
> summary(m3)

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

Residuals:
     Min       1Q   Median       3Q      Max 
-0.85889 -0.23875  0.02999  0.22769  0.90479 

Coefficients:
              Estimate Std. Error   t value Pr(>|t|)
(Intercept) -2.423e-16  1.510e+00 -1.60e-16        1
x            2.309e-18  1.422e-02  1.62e-16        1

Residual standard error: 0.3984 on 58 degrees of freedom
Multiple R-squared: 8.056e-34,	Adjusted R-squared: -0.01724 
F-statistic: 4.673e-32 on 1 and 58 DF,  p-value: 1 

> z3 <- as.data.frame(cbind(x,m$residuals))
> names(z3) <- list('x','Residuals')
> plot(z3,main='Scatterplot, lowess, and regression line')
> lines(lowess(z3),col='red')
> abline(m3)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/freestat/rcomp/tmp/4ll471256749143.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m4 <- lm(m$fitted.values ~ m$residuals)
> summary(m4)

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

Residuals:
    Min      1Q  Median      3Q     Max 
-5.7613 -3.3471 -0.8008  4.4392  5.7453 

Coefficients:
              Estimate Std. Error   t value Pr(>|t|)    
(Intercept)  1.068e+02  4.826e-01     221.2   <2e-16 ***
m$residuals -3.162e-15  1.232e+00 -2.57e-15        1    
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 3.739 on 58 degrees of freedom
Multiple R-squared: 1.221e-29,	Adjusted R-squared: -0.01724 
F-statistic: 7.08e-28 on 1 and 58 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/5ijy41256749143.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 
-0.45794 -0.08443  0.03130  0.10477  0.30887 

Coefficients:
             Estimate Std. Error t value Pr(>|t|)    
(Intercept) 0.0009519  0.0219533   0.043    0.966    
Residuals   0.9063480  0.0556845  16.276   <2e-16 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 0.1686 on 57 degrees of freedom
  (2 observations deleted due to missingness)
Multiple R-squared: 0.8229,	Adjusted R-squared: 0.8198 
F-statistic: 264.9 on 1 and 57 DF,  p-value: < 2.2e-16 

> abline(m5)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/freestat/rcomp/tmp/6q0681256749143.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> hist(m$residuals,main='Residual Histogram',xlab='Residuals')
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/freestat/rcomp/tmp/7mu461256749143.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> if (par1 > 0)
+ {
+ densityplot(~m$residuals,col='black',main=paste('Density Plot   bw = ',par1),bw=par1)
+ } else {
+ densityplot(~m$residuals,col='black',main='Density Plot')
+ }
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/freestat/rcomp/tmp/8oyqb1256749143.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> acf(m$residuals,main='Residual Autocorrelation Function')
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/freestat/rcomp/tmp/9f88n1256749143.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/106igt1256749143.tab") 
> 
> system("convert tmp/1faj31256749143.ps tmp/1faj31256749143.png")
> system("convert tmp/2ly6n1256749143.ps tmp/2ly6n1256749143.png")
> system("convert tmp/3prkv1256749143.ps tmp/3prkv1256749143.png")
> system("convert tmp/4ll471256749143.ps tmp/4ll471256749143.png")
> system("convert tmp/5ijy41256749143.ps tmp/5ijy41256749143.png")
> system("convert tmp/6q0681256749143.ps tmp/6q0681256749143.png")
> system("convert tmp/7mu461256749143.ps tmp/7mu461256749143.png")
> system("convert tmp/8oyqb1256749143.ps tmp/8oyqb1256749143.png")
> system("convert tmp/9f88n1256749143.ps tmp/9f88n1256749143.png")
> 
> 
> proc.time()
   user  system elapsed 
  2.850   2.153   3.393