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(2293,2309,2299,2349,2374,2440,2485,2685,2803,2947,3066,3212,3116,3190,3193,3393,3316,3221,3246,3182,3150,3249,3192,3265,3142,3282,3326,3291,3343,3376,3307,3391,3389,3327,3258,3278,3269,3192,3413,3193,3122,3276,3122,3026,3015,3079,3035,3011,3045,3098,3018,3037,3057,3048,3014,2860,3014,3003,3015,2931)
> x <- c(2591,2664,2723,2811,2809,2914,2952,3182,3152,3491,3683,3735,3808,3801,3815,3933,3827,3903,3870,3853,3849,3917,4050,4130,4111,4074,3993,4276,4322,4506,4402,4340,4279,4192,4200,3905,3878,3804,3912,3796,3875,3822,3739,3772,3740,3733,3714,3652,3591,3641,3487,3357,3312,3311,3240,3322,3431,3301,3318,3284)
> par1 = '0'
> 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 
-197.014  -89.665    2.675   72.975  210.952 

Coefficients:
             Estimate Std. Error t value Pr(>|t|)    
(Intercept) 861.80870  124.30533   6.933  3.8e-09 ***
x             0.59915    0.03363  17.814  < 2e-16 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 117.6 on 58 degrees of freedom
Multiple R-squared: 0.8455,	Adjusted R-squared: 0.8428 
F-statistic: 317.3 on 1 and 58 DF,  p-value: < 2.2e-16 

> postscript(file="/var/wessaorg/rcomp/tmp/1v8ki1321202760.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/22b8c1321202760.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 
-8.821e-13 -1.376e-13  8.610e-15  1.598e-13  2.818e-13 

Coefficients:
             Estimate Std. Error   t value Pr(>|t|)    
(Intercept) 8.618e+02  2.029e-13 4.248e+15   <2e-16 ***
x           5.991e-01  5.489e-17 1.092e+16   <2e-16 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 1.919e-13 on 58 degrees of freedom
Multiple R-squared:     1,	Adjusted R-squared:     1 
F-statistic: 1.192e+32 on 1 and 58 DF,  p-value: < 2.2e-16 

> z2 <- as.data.frame(cbind(x,m$fitted.values))
> names(z2) <- list('x','Fitted')
> plot(z2,main='Scatterplot, lowess, and regression line')
> lines(lowess(z2),col='red')
> abline(m2)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/wessaorg/rcomp/tmp/3f02u1321202760.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m3 <- lm(m$residuals ~ x)
> summary(m3)

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

Residuals:
     Min       1Q   Median       3Q      Max 
-197.014  -89.665    2.675   72.975  210.952 

Coefficients:
              Estimate Std. Error t value Pr(>|t|)
(Intercept) -6.843e-15  1.243e+02       0        1
x            1.993e-18  3.363e-02       0        1

Residual standard error: 117.6 on 58 degrees of freedom
Multiple R-squared: 5.225e-33,	Adjusted R-squared: -0.01724 
F-statistic: 3.031e-31 on 1 and 58 DF,  p-value: 1 

> z3 <- as.data.frame(cbind(x,m$residuals))
> names(z3) <- list('x','Residuals')
> plot(z3,main='Scatterplot, lowess, and regression line')
> lines(lowess(z3),col='red')
> abline(m3)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/wessaorg/rcomp/tmp/4567n1321202760.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m4 <- lm(m$fitted.values ~ m$residuals)
> summary(m4)

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

Residuals:
    Min      1Q  Median      3Q     Max 
-645.43 -208.05   69.35  146.79  501.94 

Coefficients:
             Estimate Std. Error t value Pr(>|t|)    
(Intercept) 3.060e+03  3.551e+01   86.17   <2e-16 ***
m$residuals 3.346e-16  3.071e-01    0.00        1    
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 275 on 58 degrees of freedom
Multiple R-squared: 6.551e-30,	Adjusted R-squared: -0.01724 
F-statistic: 3.8e-28 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/wessaorg/rcomp/tmp/5va011321202760.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 
-185.327  -67.386   -6.378   56.438  169.026 

Coefficients:
            Estimate Std. Error t value Pr(>|t|)    
(Intercept)  3.23723   11.08846   0.292    0.771    
Residuals    0.68703    0.09573   7.177 1.61e-09 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 85.16 on 57 degrees of freedom
  (2 observations deleted due to missingness)
Multiple R-squared: 0.4747,	Adjusted R-squared: 0.4655 
F-statistic: 51.51 on 1 and 57 DF,  p-value: 1.615e-09 

> abline(m5)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/wessaorg/rcomp/tmp/6kpnn1321202760.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> hist(m$residuals,main='Residual Histogram',xlab='Residuals')
> dev.off()
null device 
          1 
> postscript(file="/var/wessaorg/rcomp/tmp/7dkid1321202760.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> if (par1 > 0)
+ {
+ densityplot(~m$residuals,col='black',main=paste('Density Plot   bw = ',par1),bw=par1)
+ } else {
+ densityplot(~m$residuals,col='black',main='Density Plot')
+ }
> dev.off()
null device 
          1 
> postscript(file="/var/wessaorg/rcomp/tmp/8bj161321202760.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> acf(m$residuals,main='Residual Autocorrelation Function')
> dev.off()
null device 
          1 
> postscript(file="/var/wessaorg/rcomp/tmp/9smpu1321202760.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/10xx6c1321202760.tab") 
> 
> try(system("convert tmp/1v8ki1321202760.ps tmp/1v8ki1321202760.png",intern=TRUE))
character(0)
> try(system("convert tmp/22b8c1321202760.ps tmp/22b8c1321202760.png",intern=TRUE))
character(0)
> try(system("convert tmp/3f02u1321202760.ps tmp/3f02u1321202760.png",intern=TRUE))
character(0)
> try(system("convert tmp/4567n1321202760.ps tmp/4567n1321202760.png",intern=TRUE))
character(0)
> try(system("convert tmp/5va011321202760.ps tmp/5va011321202760.png",intern=TRUE))
character(0)
> try(system("convert tmp/6kpnn1321202760.ps tmp/6kpnn1321202760.png",intern=TRUE))
character(0)
> try(system("convert tmp/7dkid1321202760.ps tmp/7dkid1321202760.png",intern=TRUE))
character(0)
> try(system("convert tmp/8bj161321202760.ps tmp/8bj161321202760.png",intern=TRUE))
character(0)
> try(system("convert tmp/9smpu1321202760.ps tmp/9smpu1321202760.png",intern=TRUE))
character(0)
> 
> 
> proc.time()
   user  system elapsed 
  2.545   0.445   3.047