R version 2.7.0 (2008-04-22)
Copyright (C) 2008 The R Foundation for Statistical Computing
ISBN 3-900051-07-0

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> y <- c(95.5,98.7,115.9,110.4,109.5,92.3,102.1,112.8,110.2,98.9,119,104.3,98.8,109.4,170.3,118,116.9,111.7,116.8,116.1,114.8,110.8,122.8,104.7,86,127.2,126.1,114.6,127.8,105.2,113.1,161,126.9,117.7,144.9,119.4,107.1,142.8,126.2,126.9,179.2,105.3,114.8,125.4,113.2,134.4,150,100.9,101.8,137.7,138.7,135.4,153.8,119.5,123.3,166.4,137.5,142.2,167,112.3,120.6,154.9,153.4,156.2,175.8,131.7,130.1,161.1,128.2,140.3,174.9,111.8,136.6)
> x <- c(92.3,95.5,92.5,89.6,84.3,76.3,80.7,96.3,81,82.9,90.3,74.8,70.1,86.7,86.4,89.9,88.1,78.8,81.1,85.4,82.6,80.3,81.2,68,67.4,91.3,94.9,82.8,88.6,73.1,76.7,93.2,84.9,83.8,93.5,91.9,69.6,87,90.2,82.7,91.4,74.6,76.1,87.1,78.4,81.3,99.3,71,73.2,95.6,84,90.8,93.6,80.9,84.4,97.3,83.5,88.8,100.7,69.4,74.6,96.6,96.6,93.1,91.8,85.7,79.1,91.3,84.2,85.8,94.6,77.1,76.5)
> 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 
-44.943  -9.203  -1.083  11.896  42.411 

Coefficients:
            Estimate Std. Error t value Pr(>|t|)    
(Intercept) -16.0076    20.7430  -0.772    0.443    
x             1.6717     0.2433   6.871 2.02e-09 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 17.06 on 71 degrees of freedom
Multiple R-squared: 0.3994,	Adjusted R-squared: 0.3909 
F-statistic: 47.22 on 1 and 71 DF,  p-value: 2.020e-09 

> postscript(file="/var/www/html/rcomp/tmp/1oip31226600320.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/23sr01226600320.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 
-1.009e-13 -3.885e-15  8.755e-16  5.524e-15  1.538e-14 

Coefficients:
              Estimate Std. Error    t value Pr(>|t|)    
(Intercept) -1.601e+01  1.680e-14 -9.528e+14   <2e-16 ***
x            1.672e+00  1.971e-16  8.484e+15   <2e-16 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 1.382e-14 on 71 degrees of freedom
Multiple R-squared:     1,	Adjusted R-squared:     1 
F-statistic: 7.197e+31 on 1 and 71 DF,  p-value: < 2.2e-16 

> z2 <- as.data.frame(cbind(x,m$fitted.values))
> names(z2) <- list('x','Fitted')
> plot(z2,main='Scatterplot, lowess, and regression line')
> lines(lowess(z2),col='red')
> abline(m2)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/3hj4h1226600320.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m3 <- lm(m$residuals ~ x)
> summary(m3)

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

Residuals:
    Min      1Q  Median      3Q     Max 
-44.943  -9.203  -1.083  11.896  42.411 

Coefficients:
              Estimate Std. Error   t value Pr(>|t|)
(Intercept)  6.584e-15  2.074e+01  3.17e-16        1
x           -8.620e-17  2.433e-01 -3.54e-16        1

Residual standard error: 17.06 on 71 degrees of freedom
Multiple R-squared: 4.375e-33,	Adjusted R-squared: -0.01408 
F-statistic: 3.107e-31 on 1 and 71 DF,  p-value: 1 

> z3 <- as.data.frame(cbind(x,m$residuals))
> names(z3) <- list('x','Residuals')
> plot(z3,main='Scatterplot, lowess, and regression line')
> lines(lowess(z3),col='red')
> abline(m3)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/4qz6a1226600320.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m4 <- lm(m$fitted.values ~ m$residuals)
> summary(m4)

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

Residuals:
      Min        1Q    Median        3Q       Max 
-29.19579  -9.63651   0.05954  10.92581  26.47292 

Coefficients:
             Estimate Std. Error  t value Pr(>|t|)    
(Intercept) 1.259e+02  1.628e+00    77.31   <2e-16 ***
m$residuals 1.977e-16  9.678e-02 2.04e-15        1    
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 13.91 on 71 degrees of freedom
Multiple R-squared: 4.116e-31,	Adjusted R-squared: -0.01408 
F-statistic: 2.922e-29 on 1 and 71 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/5wv8p1226600320.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 
-33.489  -7.647  -1.939   6.613  48.827 

Coefficients:
            Estimate Std. Error t value Pr(>|t|)    
(Intercept)   0.7295     1.7652   0.413 0.680691    
Residuals     0.3936     0.1058   3.720 0.000398 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 14.98 on 70 degrees of freedom
  (2 observations deleted due to missingness)
Multiple R-squared: 0.1651,	Adjusted R-squared: 0.1531 
F-statistic: 13.84 on 1 and 70 DF,  p-value: 0.0003983 

> abline(m5)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/6ofq61226600320.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> hist(m$residuals,main='Residual Histogram',xlab='Residuals')
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/7sn5p1226600320.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> if (par1 > 0)
+ {
+ densityplot(~m$residuals,col='black',main=paste('Density Plot   bw = ',par1),bw=par1)
+ } else {
+ densityplot(~m$residuals,col='black',main='Density Plot')
+ }
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/8g88g1226600320.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> acf(m$residuals,main='Residual Autocorrelation Function')
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/9ssvz1226600320.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/10ugyo1226600320.tab") 
> 
> system("convert tmp/1oip31226600320.ps tmp/1oip31226600320.png")
> system("convert tmp/23sr01226600320.ps tmp/23sr01226600320.png")
> system("convert tmp/3hj4h1226600320.ps tmp/3hj4h1226600320.png")
> system("convert tmp/4qz6a1226600320.ps tmp/4qz6a1226600320.png")
> system("convert tmp/5wv8p1226600320.ps tmp/5wv8p1226600320.png")
> system("convert tmp/6ofq61226600320.ps tmp/6ofq61226600320.png")
> system("convert tmp/7sn5p1226600320.ps tmp/7sn5p1226600320.png")
> system("convert tmp/8g88g1226600320.ps tmp/8g88g1226600320.png")
> system("convert tmp/9ssvz1226600320.ps tmp/9ssvz1226600320.png")
> 
> 
> proc.time()
   user  system elapsed 
  3.880   2.451   4.217