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(2755.61,2770.81,2755.03,2715.66,2703.37,2679.26,2665.97,2692.41,2707.09,2712.67,2689.37,2692.02,2701.50,2680.17,2683.23,2675.65,2666.24,2652.11,2646.32,2565.48,2522.96,2557.71,2567.18,2627.42,2610.20,2630.60,2655.77,2656.77,2658.67,2669.31,2684.35,2662.17,2689.84,2707.42,2698.21,2711.69,2712.26,2722.23,2721.23,2694.84,2719.18,2695.00,2711.46,2675.30,2692.45,2725.31,2727.67,2748.22,2750.77,2766.56,2768.34,2768.25,2749.77,2701.27,2693.74,2702.27,2694.68,2732.67,2719.31)
> x <- c(56.89,57.95,57.75,57.50,57.52,56.70,56.20,56.00,56.05,56.70,56.44,56.45,56.32,56.56,57.15,57.40,59.74,59.65,59.13,57.57,56.26,56.71,56.69,56.98,56.18,56.50,57.65,57.82,57.61,57.87,57.41,57.45,57.38,57.84,58.54,58.47,59.29,59.25,59.11,59.03,59.86,59.34,59.97,58.50,59.09,59.61,58.99,59.54,59.79,59.26,58.46,58.44,58.08,56.80,56.79,57.12,57.26,57.05,57.24)
> 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 
-140.991  -21.757    7.909   28.670   81.063 

Coefficients:
            Estimate Std. Error t value Pr(>|t|)    
(Intercept) 1717.727    312.107   5.504  9.2e-07 ***
x             16.819      5.398   3.116  0.00287 ** 
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 48.28 on 57 degrees of freedom
Multiple R-squared: 0.1455,	Adjusted R-squared: 0.1306 
F-statistic: 9.709 on 1 and 57 DF,  p-value: 0.00287 

> postscript(file="/var/wessaorg/rcomp/tmp/1wy5j1321310924.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/2or8z1321310924.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 
-2.232e-13 -1.105e-13 -2.446e-14  7.814e-14  7.728e-13 

Coefficients:
             Estimate Std. Error  t value Pr(>|t|)    
(Intercept) 1.718e+03  1.023e-12 1.68e+15   <2e-16 ***
x           1.682e+01  1.769e-14 9.51e+14   <2e-16 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 1.582e-13 on 57 degrees of freedom
Multiple R-squared:     1,	Adjusted R-squared:     1 
F-statistic: 9.044e+29 on 1 and 57 DF,  p-value: < 2.2e-16 

> z2 <- as.data.frame(cbind(x,m$fitted.values))
> names(z2) <- list('x','Fitted')
> plot(z2,main='Scatterplot, lowess, and regression line')
> lines(lowess(z2),col='red')
> abline(m2)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/wessaorg/rcomp/tmp/3ci241321310924.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m3 <- lm(m$residuals ~ x)
> summary(m3)

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

Residuals:
     Min       1Q   Median       3Q      Max 
-140.991  -21.757    7.909   28.670   81.063 

Coefficients:
              Estimate Std. Error t value Pr(>|t|)
(Intercept) -1.317e-14  3.121e+02       0        1
x            1.699e-16  5.398e+00       0        1

Residual standard error: 48.28 on 57 degrees of freedom
Multiple R-squared: 5.164e-33,	Adjusted R-squared: -0.01754 
F-statistic: 2.943e-31 on 1 and 57 DF,  p-value: 1 

> z3 <- as.data.frame(cbind(x,m$residuals))
> names(z3) <- list('x','Residuals')
> plot(z3,main='Scatterplot, lowess, and regression line')
> lines(lowess(z3),col='red')
> abline(m3)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/wessaorg/rcomp/tmp/4h73g1321310924.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m4 <- lm(m$fitted.values ~ m$residuals)
> summary(m4)

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

Residuals:
    Min      1Q  Median      3Q     Max 
-30.473 -17.102  -4.068  20.151  36.297 

Coefficients:
             Estimate Std. Error t value Pr(>|t|)    
(Intercept) 2.690e+03  2.594e+00    1037   <2e-16 ***
m$residuals 7.770e-16  5.467e-02       0        1    
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 19.92 on 57 degrees of freedom
Multiple R-squared: 3.656e-28,	Adjusted R-squared: -0.01754 
F-statistic: 2.084e-26 on 1 and 57 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/5a4x91321310924.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 
-60.905 -10.336   1.379  11.341  44.954 

Coefficients:
            Estimate Std. Error t value Pr(>|t|)    
(Intercept) -0.79959    2.58078   -0.31    0.758    
Residuals    0.89223    0.05424   16.45   <2e-16 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 19.65 on 56 degrees of freedom
  (2 observations deleted due to missingness)
Multiple R-squared: 0.8286,	Adjusted R-squared: 0.8255 
F-statistic: 270.6 on 1 and 56 DF,  p-value: < 2.2e-16 

> abline(m5)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/wessaorg/rcomp/tmp/6la9h1321310924.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> hist(m$residuals,main='Residual Histogram',xlab='Residuals')
> dev.off()
null device 
          1 
> postscript(file="/var/wessaorg/rcomp/tmp/71c941321310924.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> if (par1 > 0)
+ {
+ densityplot(~m$residuals,col='black',main=paste('Density Plot   bw = ',par1),bw=par1)
+ } else {
+ densityplot(~m$residuals,col='black',main='Density Plot')
+ }
> dev.off()
null device 
          1 
> postscript(file="/var/wessaorg/rcomp/tmp/85fg21321310924.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> acf(m$residuals,main='Residual Autocorrelation Function')
> dev.off()
null device 
          1 
> postscript(file="/var/wessaorg/rcomp/tmp/9eml21321310924.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/10dt1q1321310925.tab") 
> 
> try(system("convert tmp/1wy5j1321310924.ps tmp/1wy5j1321310924.png",intern=TRUE))
character(0)
> try(system("convert tmp/2or8z1321310924.ps tmp/2or8z1321310924.png",intern=TRUE))
character(0)
> try(system("convert tmp/3ci241321310924.ps tmp/3ci241321310924.png",intern=TRUE))
character(0)
> try(system("convert tmp/4h73g1321310924.ps tmp/4h73g1321310924.png",intern=TRUE))
character(0)
> try(system("convert tmp/5a4x91321310924.ps tmp/5a4x91321310924.png",intern=TRUE))
character(0)
> try(system("convert tmp/6la9h1321310924.ps tmp/6la9h1321310924.png",intern=TRUE))
character(0)
> try(system("convert tmp/71c941321310924.ps tmp/71c941321310924.png",intern=TRUE))
character(0)
> try(system("convert tmp/85fg21321310924.ps tmp/85fg21321310924.png",intern=TRUE))
character(0)
> try(system("convert tmp/9eml21321310924.ps tmp/9eml21321310924.png",intern=TRUE))
character(0)
> 
> 
> proc.time()
   user  system elapsed 
  2.549   0.445   3.023