R version 2.9.0 (2009-04-17)
Copyright (C) 2009 The R Foundation for Statistical Computing
ISBN 3-900051-07-0

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> y <- c(3970.10,4138.52,4199.75,4290.89,4443.91,4502.64,4356.98,4591.27,4696.96,4621.40,4562.84,4202.52,4296.49,4435.23,4105.18,4116.68,3844.49,3720.98,3674.40,3857.62,3801.06,3504.37,3032.60,3047.03,2962.34,2197.82,2014.45,1862.83,1905.41,1810.99,1670.07,1864.44,2052.02,2029.60,2070.83,2293.41,2443.27,2513.17,2466.92,2502.66,2539.91,2482.60,2626.15,2656.32,2446.66,2467.38,2462.32,2504.58,2579.39,2649.24)
> x <- c(3.75,3.81,3.82,3.89,4.05,4.10,4.07,4.26,4.40,4.61,4.63,4.48,4.46,4.45,4.32,4.52,4.21,3.97,4.12,4.50,4.73,5.26,5.20,4.94,4.95,4.52,3.85,3.41,2.95,2.68,2.53,2.44,2.16,2.20,2.10,2.29,2.03,2.05,1.94,1.87,1.89,1.94,1.79,1.71,1.66,1.74,1.83,1.64,1.69,1.78)
> 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 
-1630.6  -448.1   182.7   475.2   935.4 

Coefficients:
            Estimate Std. Error t value Pr(>|t|)    
(Intercept)  1309.38     294.26   4.450 5.10e-05 ***
x             557.31      83.23   6.696 2.15e-08 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 709.3 on 48 degrees of freedom
Multiple R-squared: 0.483,	Adjusted R-squared: 0.4722 
F-statistic: 44.84 on 1 and 48 DF,  p-value: 2.15e-08 

> postscript(file="/var/www/html/rcomp/tmp/13xs81290691377.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/23xs81290691377.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 
-3.099e-12 -4.575e-14  6.872e-14  1.875e-13  5.213e-13 

Coefficients:
             Estimate Std. Error   t value Pr(>|t|)    
(Intercept) 1.309e+03  2.021e-13 6.478e+15   <2e-16 ***
x           5.573e+02  5.717e-14 9.749e+15   <2e-16 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 4.872e-13 on 48 degrees of freedom
Multiple R-squared:     1,	Adjusted R-squared:     1 
F-statistic: 9.504e+31 on 1 and 48 DF,  p-value: < 2.2e-16 

> z2 <- as.data.frame(cbind(x,m$fitted.values))
> names(z2) <- list('x','Fitted')
> plot(z2,main='Scatterplot, lowess, and regression line')
> lines(lowess(z2),col='red')
> abline(m2)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/3vort1290691377.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m3 <- lm(m$residuals ~ x)
> summary(m3)

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

Residuals:
    Min      1Q  Median      3Q     Max 
-1630.6  -448.1   182.7   475.2   935.4 

Coefficients:
              Estimate Std. Error   t value Pr(>|t|)
(Intercept)  2.826e-14  2.943e+02  9.61e-17        1
x           -1.334e-14  8.323e+01 -1.60e-16        1

Residual standard error: 709.3 on 48 degrees of freedom
Multiple R-squared: 2.676e-33,	Adjusted R-squared: -0.02083 
F-statistic: 1.285e-31 on 1 and 48 DF,  p-value: 1 

> z3 <- as.data.frame(cbind(x,m$residuals))
> names(z3) <- list('x','Residuals')
> plot(z3,main='Scatterplot, lowess, and regression line')
> lines(lowess(z3),col='red')
> abline(m3)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/46g8e1290691377.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m4 <- lm(m$fitted.values ~ m$residuals)
> summary(m4)

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

Residuals:
   Min     1Q Median     3Q    Max 
-938.4 -718.3  273.8  620.7 1079.1 

Coefficients:
              Estimate Std. Error   t value Pr(>|t|)    
(Intercept)  3.162e+03  9.695e+01     32.61   <2e-16 ***
m$residuals -9.833e-17  1.395e-01 -7.05e-16        1    
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 685.5 on 48 degrees of freedom
Multiple R-squared: 9.168e-33,	Adjusted R-squared: -0.02083 
F-statistic: 4.401e-31 on 1 and 48 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/5zpqh1290691377.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 
-593.17  -82.72   38.04  104.70  315.35 

Coefficients:
            Estimate Std. Error t value Pr(>|t|)    
(Intercept) -4.84223   27.39044  -0.177     0.86    
Residuals    0.95885    0.03912  24.512   <2e-16 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 191.7 on 47 degrees of freedom
  (2 observations deleted due to missingness)
Multiple R-squared: 0.9275,	Adjusted R-squared: 0.9259 
F-statistic: 600.9 on 1 and 47 DF,  p-value: < 2.2e-16 

> abline(m5)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/6sy721290691377.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> hist(m$residuals,main='Residual Histogram',xlab='Residuals')
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/7sy721290691377.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> if (par1 > 0)
+ {
+ densityplot(~m$residuals,col='black',main=paste('Density Plot   bw = ',par1),bw=par1)
+ } else {
+ densityplot(~m$residuals,col='black',main='Density Plot')
+ }
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/82pon1290691377.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> acf(m$residuals,main='Residual Autocorrelation Function')
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/92pon1290691377.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/10ghme1290691377.tab") 
> 
> try(system("convert tmp/13xs81290691377.ps tmp/13xs81290691377.png",intern=TRUE))
character(0)
> try(system("convert tmp/23xs81290691377.ps tmp/23xs81290691377.png",intern=TRUE))
character(0)
> try(system("convert tmp/3vort1290691377.ps tmp/3vort1290691377.png",intern=TRUE))
character(0)
> try(system("convert tmp/46g8e1290691377.ps tmp/46g8e1290691377.png",intern=TRUE))
character(0)
> try(system("convert tmp/5zpqh1290691377.ps tmp/5zpqh1290691377.png",intern=TRUE))
character(0)
> try(system("convert tmp/6sy721290691377.ps tmp/6sy721290691377.png",intern=TRUE))
character(0)
> try(system("convert tmp/7sy721290691377.ps tmp/7sy721290691377.png",intern=TRUE))
character(0)
> try(system("convert tmp/82pon1290691377.ps tmp/82pon1290691377.png",intern=TRUE))
character(0)
> try(system("convert tmp/92pon1290691377.ps tmp/92pon1290691377.png",intern=TRUE))
character(0)
> 
> 
> proc.time()
   user  system elapsed 
  1.848   1.385   7.676