R version 2.13.0 (2011-04-13)
Copyright (C) 2011 The R Foundation for Statistical Computing
ISBN 3-900051-07-0
Platform: i486-pc-linux-gnu (32-bit)

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> y <- c(235.1,280.7,264.6,240.7,201.4,240.8,241.1,223.8,206.1,174.7,203.3,220.5,299.5,347.4,338.3,327.7,351.6,396.6,438.8,395.6,363.5,378.8,357.0,369.0,464.8,479.1,431.3,366.5,326.3,355.1,331.6,261.3,249.0,205.5,235.6,240.9,264.9,253.8,232.3,193.8,177.0,213.2,207.2,180.6,188.6,175.4,199.0,179.6,225.8,234.0,200.2,183.6,178.2,203.2,208.5,191.8,172.8,148.0,159.4,154.5,213.2,196.4,182.8,176.4,153.6,173.2,171.0,151.2,161.9)
> x <- c(5.50,5.40,5.90,5.80,5.10,4.10,4.40,3.60,3.50,3.10,2.90,2.20,1.40,1.20,1.30,1.30,1.30,1.80,1.80,1.80,1.70,2.10,2.00,1.70,1.90,2.30,2.40,2.50,2.80,2.60,2.20,2.80,2.80,2.80,2.30,2.20,3.00,2.90,2.70,2.70,2.30,2.40,2.80,2.30,2.00,1.90,2.30,2.70,1.80,2.00,2.10,2.00,2.40,1.70,1.00,1.20,1.40,1.70,1.80,1.40,1.70,1.60,1.40,1.50,0.90,1.50,1.70,1.60,1.20)
> 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 
-104.41  -68.38  -26.46   74.72  227.56 

Coefficients:
            Estimate Std. Error t value Pr(>|t|)    
(Intercept)  254.858     24.274  10.499 8.59e-16 ***
x             -1.441      9.230  -0.156    0.876    
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 86.08 on 67 degrees of freedom
Multiple R-squared: 0.0003637,	Adjusted R-squared: -0.01456 
F-statistic: 0.02438 on 1 and 67 DF,  p-value: 0.8764 

> postscript(file="/var/wessaorg/rcomp/tmp/1g2df1324225390.ps",horizontal=F,onefile=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/wessaorg/rcomp/tmp/2gwme1324225390.ps",horizontal=F,onefile=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 
-3.214e-14 -9.433e-15 -1.206e-15  7.826e-15  1.329e-13 

Coefficients:
              Estimate Std. Error    t value Pr(>|t|)    
(Intercept)  2.549e+02  5.673e-15  4.492e+16   <2e-16 ***
x           -1.441e+00  2.157e-15 -6.680e+14   <2e-16 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 2.012e-14 on 67 degrees of freedom
Multiple R-squared:     1,	Adjusted R-squared:     1 
F-statistic: 4.463e+29 on 1 and 67 DF,  p-value: < 2.2e-16 

> z2 <- as.data.frame(cbind(x,m$fitted.values))
> names(z2) <- list('x','Fitted')
> plot(z2,main='Scatterplot, lowess, and regression line')
> lines(lowess(z2),col='red')
> abline(m2)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/wessaorg/rcomp/tmp/3cvf61324225390.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m3 <- lm(m$residuals ~ x)
> summary(m3)

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

Residuals:
    Min      1Q  Median      3Q     Max 
-104.41  -68.38  -26.46   74.72  227.56 

Coefficients:
             Estimate Std. Error t value Pr(>|t|)
(Intercept) 6.061e-16  2.427e+01       0        1
x           3.192e-16  9.230e+00       0        1

Residual standard error: 86.08 on 67 degrees of freedom
Multiple R-squared: 4.254e-35,	Adjusted R-squared: -0.01493 
F-statistic: 2.85e-33 on 1 and 67 DF,  p-value: 1 

> z3 <- as.data.frame(cbind(x,m$residuals))
> names(z3) <- list('x','Residuals')
> plot(z3,main='Scatterplot, lowess, and regression line')
> lines(lowess(z3),col='red')
> abline(m3)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/wessaorg/rcomp/tmp/4um2n1324225390.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m4 <- lm(m$fitted.values ~ m$residuals)
> summary(m4)

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

Residuals:
    Min      1Q  Median      3Q     Max 
-5.0748 -0.6077  0.4010  0.9774  2.1302 

Coefficients:
             Estimate Std. Error t value Pr(>|t|)    
(Intercept) 2.514e+02  1.977e-01    1272   <2e-16 ***
m$residuals 3.277e-18  2.330e-03       0        1    
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 1.642 on 67 degrees of freedom
Multiple R-squared: 1.61e-28,	Adjusted R-squared: -0.01493 
F-statistic: 1.079e-26 on 1 and 67 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/wessaorg/rcomp/tmp/5ckji1324225390.ps",horizontal=F,onefile=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 
-63.361 -21.130  -8.636  21.352 104.453 

Coefficients:
            Estimate Std. Error t value Pr(>|t|)    
(Intercept) -1.08381    3.87430   -0.28    0.781    
Residuals    0.93755    0.04573   20.50   <2e-16 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 31.94 on 66 degrees of freedom
  (2 observations deleted due to missingness)
Multiple R-squared: 0.8643,	Adjusted R-squared: 0.8622 
F-statistic: 420.4 on 1 and 66 DF,  p-value: < 2.2e-16 

> abline(m5)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/wessaorg/rcomp/tmp/6n30o1324225390.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> hist(m$residuals,main='Residual Histogram',xlab='Residuals')
> dev.off()
null device 
          1 
> postscript(file="/var/wessaorg/rcomp/tmp/7yd001324225390.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> if (par1 > 0)
+ {
+ densityplot(~m$residuals,col='black',main=paste('Density Plot   bw = ',par1),bw=par1)
+ } else {
+ densityplot(~m$residuals,col='black',main='Density Plot')
+ }
> dev.off()
null device 
          1 
> postscript(file="/var/wessaorg/rcomp/tmp/82fpj1324225390.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> acf(m$residuals,main='Residual Autocorrelation Function')
> dev.off()
null device 
          1 
> postscript(file="/var/wessaorg/rcomp/tmp/9h2zy1324225390.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> qqnorm(x)
> qqline(x)
> grid()
> dev.off()
null device 
          1 
> 
> #Note: the /var/wessaorg/rcomp/createtable file can be downloaded at http://www.wessa.net/cretab
> load(file="/var/wessaorg/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/wessaorg/rcomp/tmp/10zlcb1324225390.tab") 
> 
> try(system("convert tmp/1g2df1324225390.ps tmp/1g2df1324225390.png",intern=TRUE))
character(0)
> try(system("convert tmp/2gwme1324225390.ps tmp/2gwme1324225390.png",intern=TRUE))
character(0)
> try(system("convert tmp/3cvf61324225390.ps tmp/3cvf61324225390.png",intern=TRUE))
character(0)
> try(system("convert tmp/4um2n1324225390.ps tmp/4um2n1324225390.png",intern=TRUE))
character(0)
> try(system("convert tmp/5ckji1324225390.ps tmp/5ckji1324225390.png",intern=TRUE))
character(0)
> try(system("convert tmp/6n30o1324225390.ps tmp/6n30o1324225390.png",intern=TRUE))
character(0)
> try(system("convert tmp/7yd001324225390.ps tmp/7yd001324225390.png",intern=TRUE))
character(0)
> try(system("convert tmp/82fpj1324225390.ps tmp/82fpj1324225390.png",intern=TRUE))
character(0)
> try(system("convert tmp/9h2zy1324225390.ps tmp/9h2zy1324225390.png",intern=TRUE))
character(0)
> 
> 
> proc.time()
   user  system elapsed 
  2.436   0.538   2.985