R version 2.12.0 (2010-10-15)
Copyright (C) 2010 The R Foundation for Statistical Computing
ISBN 3-900051-07-0
Platform: i486-pc-linux-gnu (32-bit)

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> y <- c(1235,1080,845,1522,1047,1979,1822,1253,1297,946,1713,1024,1147,1092,1152,1336,2131,1550,1884,2041,845,1483,1055,1545,729,1792,1175,1593,785,744,1356,1262,1250,1020,840,1515,1045,1972,1820,1248,1290,944,1713,1022,1143,1089,1149,1327,2128,1143,1880,2034,844,1879,1050,1541,724,1782,1170,1586,749,740,1352)
> x <- c(13,12,7,9,6,11,12,10,9,9,15,11,8,6,13,10,14,8,11,10,6,9,14,8,6,9,15,8,7,7,5,7,12,11,6,9,5,11,11,9,8,8,14,11,7,5,12,10,13,7,10,9,5,9,13,7,5,8,14,7,7,6,4)
> 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 
-539.26 -362.67  -46.29  325.33  719.17 

Coefficients:
            Estimate Std. Error t value Pr(>|t|)    
(Intercept)   811.86     157.93   5.141 3.05e-06 ***
x              55.89      16.45   3.398  0.00120 ** 
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 369.6 on 61 degrees of freedom
Multiple R-squared: 0.1591,	Adjusted R-squared: 0.1454 
F-statistic: 11.54 on 1 and 61 DF,  p-value: 0.001202 

> postscript(file="/var/www/rcomp/tmp/1jaym1321792211.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/www/rcomp/tmp/254hw1321792211.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 
-2.059e-13 -5.159e-14 -7.880e-16  6.429e-14  1.158e-13 

Coefficients:
             Estimate Std. Error   t value Pr(>|t|)    
(Intercept) 8.119e+02  3.605e-14 2.252e+16   <2e-16 ***
x           5.589e+01  3.755e-15 1.488e+16   <2e-16 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 8.438e-14 on 61 degrees of freedom
Multiple R-squared:     1,	Adjusted R-squared:     1 
F-statistic: 2.216e+32 on 1 and 61 DF,  p-value: < 2.2e-16 

> z2 <- as.data.frame(cbind(x,m$fitted.values))
> names(z2) <- list('x','Fitted')
> plot(z2,main='Scatterplot, lowess, and regression line')
> lines(lowess(z2),col='red')
> abline(m2)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/rcomp/tmp/3yp5u1321792211.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m3 <- lm(m$residuals ~ x)
> summary(m3)

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

Residuals:
    Min      1Q  Median      3Q     Max 
-539.26 -362.67  -46.29  325.33  719.17 

Coefficients:
              Estimate Std. Error t value Pr(>|t|)
(Intercept) -3.918e-15  1.579e+02       0        1
x            2.808e-15  1.645e+01       0        1

Residual standard error: 369.6 on 61 degrees of freedom
Multiple R-squared: 1.571e-33,	Adjusted R-squared: -0.01639 
F-statistic: 9.586e-32 on 1 and 61 DF,  p-value: 1 

> z3 <- as.data.frame(cbind(x,m$residuals))
> names(z3) <- list('x','Residuals')
> plot(z3,main='Scatterplot, lowess, and regression line')
> lines(lowess(z3),col='red')
> abline(m3)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/rcomp/tmp/488yy1321792211.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m4 <- lm(m$fitted.values ~ m$residuals)
> summary(m4)

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

Residuals:
    Min      1Q  Median      3Q     Max 
-289.18 -121.53   -9.76  102.01  325.55 

Coefficients:
             Estimate Std. Error t value Pr(>|t|)    
(Intercept) 1.325e+03  2.026e+01   65.38   <2e-16 ***
m$residuals 4.459e-17  5.570e-02    0.00        1    
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 160.8 on 61 degrees of freedom
Multiple R-squared: 4.523e-30,	Adjusted R-squared: -0.01639 
F-statistic: 2.759e-28 on 1 and 61 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/rcomp/tmp/54ilc1321792211.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 
-535.6 -357.5  -29.5  248.7  803.6 

Coefficients:
            Estimate Std. Error t value Pr(>|t|)
(Intercept)   4.0065    46.3591   0.086    0.931
Residuals    -0.1736     0.1272  -1.365    0.177

Residual standard error: 365 on 60 degrees of freedom
  (2 observations deleted due to missingness)
Multiple R-squared: 0.03012,	Adjusted R-squared: 0.01395 
F-statistic: 1.863 on 1 and 60 DF,  p-value: 0.1774 

> abline(m5)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/rcomp/tmp/6237k1321792211.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> hist(m$residuals,main='Residual Histogram',xlab='Residuals')
> dev.off()
null device 
          1 
> postscript(file="/var/www/rcomp/tmp/7m3au1321792211.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> if (par1 > 0)
+ {
+ densityplot(~m$residuals,col='black',main=paste('Density Plot   bw = ',par1),bw=par1)
+ } else {
+ densityplot(~m$residuals,col='black',main='Density Plot')
+ }
> dev.off()
null device 
          1 
> postscript(file="/var/www/rcomp/tmp/8bthv1321792211.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> acf(m$residuals,main='Residual Autocorrelation Function')
> dev.off()
null device 
          1 
> postscript(file="/var/www/rcomp/tmp/93gh91321792211.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/www/rcomp/createtable file can be downloaded at http://www.wessa.net/cretab
> load(file="/var/www/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/rcomp/tmp/10ly6j1321792211.tab") 
> 
> try(system("convert tmp/1jaym1321792211.ps tmp/1jaym1321792211.png",intern=TRUE))
character(0)
> try(system("convert tmp/254hw1321792211.ps tmp/254hw1321792211.png",intern=TRUE))
character(0)
> try(system("convert tmp/3yp5u1321792211.ps tmp/3yp5u1321792211.png",intern=TRUE))
character(0)
> try(system("convert tmp/488yy1321792211.ps tmp/488yy1321792211.png",intern=TRUE))
character(0)
> try(system("convert tmp/54ilc1321792211.ps tmp/54ilc1321792211.png",intern=TRUE))
character(0)
> try(system("convert tmp/6237k1321792211.ps tmp/6237k1321792211.png",intern=TRUE))
character(0)
> try(system("convert tmp/7m3au1321792211.ps tmp/7m3au1321792211.png",intern=TRUE))
character(0)
> try(system("convert tmp/8bthv1321792211.ps tmp/8bthv1321792211.png",intern=TRUE))
character(0)
> try(system("convert tmp/93gh91321792211.ps tmp/93gh91321792211.png",intern=TRUE))
character(0)
> 
> 
> proc.time()
   user  system elapsed 
  3.970   0.320   4.261