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(103.63,103.64,103.66,103.77,103.88,103.91,103.91,103.92,104.05,104.23,104.30,104.31,104.31,104.34,104.55,104.65,104.73,104.75,104.75,104.76,104.94,105.29,105.38,105.43,105.43,105.42,105.52,105.69,105.72,105.74,105.74,105.74,105.95,106.17,106.34,106.37,106.37,106.36,106.44,106.29,106.23,106.23,106.23,106.23,106.34,106.44,106.44,106.48,106.50,106.57,106.40,106.37,106.25,106.21,106.21,106.24,106.19,106.08,106.13,106.09)
> x <- c(100.30,98.50,95.10,93.10,92.20,89.00,86.40,84.50,82.70,80.80,81.80,81.80,82.90,83.80,86.20,86.10,86.20,88.80,89.60,87.80,88.30,88.60,91.00,91.50,95.40,98.70,99.90,98.60,100.30,100.20,100.40,101.40,103.00,109.10,111.40,114.10,121.80,127.60,129.90,128.00,123.50,124.00,127.40,127.60,128.40,131.40,135.10,134.00,144.50,147.30,150.90,148.70,141.40,138.90,139.80,145.60,147.90,148.50,151.10,157.50)
> 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 
-1.46587 -0.30151  0.04795  0.39805  0.88447 

Coefficients:
             Estimate Std. Error t value Pr(>|t|)    
(Intercept) 1.018e+02  3.609e-01  282.22  < 2e-16 ***
x           3.240e-02  3.184e-03   10.18 1.61e-14 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 0.5846 on 58 degrees of freedom
Multiple R-squared: 0.641,	Adjusted R-squared: 0.6348 
F-statistic: 103.6 on 1 and 58 DF,  p-value: 1.614e-14 

> postscript(file="/var/www/html/freestat/rcomp/tmp/1iv2o1256316677.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/2c3p41256316677.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 
-8.654e-15 -4.005e-15 -8.971e-17  1.911e-15  7.638e-14 

Coefficients:
             Estimate Std. Error   t value Pr(>|t|)    
(Intercept) 1.018e+02  6.698e-15 1.521e+16   <2e-16 ***
x           3.240e-02  5.910e-17 5.483e+14   <2e-16 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 1.085e-14 on 58 degrees of freedom
Multiple R-squared:     1,	Adjusted R-squared:     1 
F-statistic: 3.006e+29 on 1 and 58 DF,  p-value: < 2.2e-16 

> z2 <- as.data.frame(cbind(x,m$fitted.values))
> names(z2) <- list('x','Fitted')
> plot(z2,main='Scatterplot, lowess, and regression line')
> lines(lowess(z2),col='red')
> abline(m2)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/freestat/rcomp/tmp/3vgod1256316677.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m3 <- lm(m$residuals ~ x)
> summary(m3)

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

Residuals:
     Min       1Q   Median       3Q      Max 
-1.46587 -0.30151  0.04795  0.39805  0.88447 

Coefficients:
              Estimate Std. Error   t value Pr(>|t|)
(Intercept) -1.535e-17  3.609e-01 -4.25e-17        1
x            1.571e-19  3.184e-03  4.93e-17        1

Residual standard error: 0.5846 on 58 degrees of freedom
Multiple R-squared: 6.115e-34,	Adjusted R-squared: -0.01724 
F-statistic: 3.547e-32 on 1 and 58 DF,  p-value: 1 

> z3 <- as.data.frame(cbind(x,m$residuals))
> names(z3) <- list('x','Residuals')
> plot(z3,main='Scatterplot, lowess, and regression line')
> lines(lowess(z3),col='red')
> abline(m3)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/freestat/rcomp/tmp/4pzbl1256316677.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m4 <- lm(m$fitted.values ~ m$residuals)
> summary(m4)

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

Residuals:
    Min      1Q  Median      3Q     Max 
-0.9733 -0.7092 -0.3398  0.6298  1.5119 

Coefficients:
              Estimate Std. Error   t value Pr(>|t|)    
(Intercept)  1.054e+02  1.009e-01      1045   <2e-16 ***
m$residuals -6.589e-15  1.755e-01 -3.76e-14        1    
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 0.7812 on 58 degrees of freedom
Multiple R-squared: 2.853e-28,	Adjusted R-squared: -0.01724 
F-statistic: 1.655e-26 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/5t3jc1256316677.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 
-0.31295 -0.06416  0.01268  0.07007  0.34380 

Coefficients:
            Estimate Std. Error t value Pr(>|t|)    
(Intercept)  0.01120    0.01637   0.684    0.497    
Residuals    0.93679    0.02878  32.547   <2e-16 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 0.1257 on 57 degrees of freedom
  (2 observations deleted due to missingness)
Multiple R-squared: 0.9489,	Adjusted R-squared: 0.948 
F-statistic:  1059 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/6698d1256316677.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> hist(m$residuals,main='Residual Histogram',xlab='Residuals')
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/freestat/rcomp/tmp/7m0wt1256316677.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> if (par1 > 0)
+ {
+ densityplot(~m$residuals,col='black',main=paste('Density Plot   bw = ',par1),bw=par1)
+ } else {
+ densityplot(~m$residuals,col='black',main='Density Plot')
+ }
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/freestat/rcomp/tmp/8aos81256316677.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> acf(m$residuals,main='Residual Autocorrelation Function')
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/freestat/rcomp/tmp/9i2i51256316677.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/10g78u1256316677.tab") 
> 
> system("convert tmp/1iv2o1256316677.ps tmp/1iv2o1256316677.png")
> system("convert tmp/2c3p41256316677.ps tmp/2c3p41256316677.png")
> system("convert tmp/3vgod1256316677.ps tmp/3vgod1256316677.png")
> system("convert tmp/4pzbl1256316677.ps tmp/4pzbl1256316677.png")
> system("convert tmp/5t3jc1256316677.ps tmp/5t3jc1256316677.png")
> system("convert tmp/6698d1256316677.ps tmp/6698d1256316677.png")
> system("convert tmp/7m0wt1256316677.ps tmp/7m0wt1256316677.png")
> system("convert tmp/8aos81256316677.ps tmp/8aos81256316677.png")
> system("convert tmp/9i2i51256316677.ps tmp/9i2i51256316677.png")
> 
> 
> proc.time()
   user  system elapsed 
  2.814   2.118   3.229