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(9769,9321,9939,9336,10195,9464,10010,10213,9563,9890,9305,9391,9928,8686,9843,9627,10074,9503,10119,10000,9313,9866,9172,9241,9659,8904,9755,9080,9435,8971,10063,9793,9454,9759,8820,9403,9676,8642,9402,9610,9294,9448,10319,9548,9801,9596,8923,9746,9829,9125,9782,9441,9162,9915,10444,10209,9985,9842,9429,10132,9849,9172,10313,9819,9955,10048,10082,10541,10208,10233,9439,9963,10158,9225,10474,9757,10490,10281,10444,10640,10695,10786,9832,9747,10411,9511,10402,9701,10540,10112,10915,11183,10384,10834,9886,10216)
> x <- c(1579,2146,2462,3695,4831,5134,6250,5760,6249,2917,1741,2359,1511,2059,2635,2867,4403,5720,4502,5749,5627,2846,1762,2429,1169,2154,2249,2687,4359,5382,4459,6398,4596,3024,1887,2070,1351,2218,2461,3028,4784,4975,4607,6249,4809,3157,1910,2228,1594,2467,2222,3607,4685,4962,5770,5480,5000,3228,1993,2288,1580,2111,2192,3601,4665,4876,5813,5589,5331,3075,2002,2306,1507,1992,2487,3490,4647,5594,5611,5788,6204,3013,1931,2549,1504,2090,2702,2939,4500,6208,6415,5657,5964,3163,1997,2422)
> 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 
-1063.20  -368.18    36.70   269.43  1115.12 

Coefficients:
             Estimate Std. Error t value Pr(>|t|)    
(Intercept) 9.375e+03  1.206e+02  77.715  < 2e-16 ***
x           1.225e-01  3.061e-02   4.002 0.000125 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 476.6 on 94 degrees of freedom
Multiple R-squared: 0.1456,	Adjusted R-squared: 0.1365 
F-statistic: 16.01 on 1 and 94 DF,  p-value: 0.0001253 

> postscript(file="/var/www/html/rcomp/tmp/1og4k1290950509.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/2og4k1290950509.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 
-2.524e-12 -1.031e-12 -4.998e-13  9.555e-14  5.086e-11 

Coefficients:
             Estimate Std. Error   t value Pr(>|t|)    
(Intercept) 9.375e+03  1.354e-12 6.926e+15   <2e-16 ***
x           1.225e-01  3.434e-16 3.566e+14   <2e-16 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 5.348e-12 on 94 degrees of freedom
Multiple R-squared:     1,	Adjusted R-squared:     1 
F-statistic: 1.272e+29 on 1 and 94 DF,  p-value: < 2.2e-16 

> z2 <- as.data.frame(cbind(x,m$fitted.values))
> names(z2) <- list('x','Fitted')
> plot(z2,main='Scatterplot, lowess, and regression line')
> lines(lowess(z2),col='red')
> abline(m2)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/3y7l51290950509.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m3 <- lm(m$residuals ~ x)
> summary(m3)

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

Residuals:
     Min       1Q   Median       3Q      Max 
-1063.20  -368.18    36.70   269.43  1115.12 

Coefficients:
              Estimate Std. Error   t value Pr(>|t|)
(Intercept) -8.927e-14  1.206e+02 -7.40e-16        1
x            2.555e-17  3.061e-02  8.35e-16        1

Residual standard error: 476.6 on 94 degrees of freedom
Multiple R-squared: 3.789e-33,	Adjusted R-squared: -0.01064 
F-statistic: 3.562e-31 on 1 and 94 DF,  p-value: 1 

> z3 <- as.data.frame(cbind(x,m$residuals))
> names(z3) <- list('x','Residuals')
> plot(z3,main='Scatterplot, lowess, and regression line')
> lines(lowess(z3),col='red')
> abline(m3)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/49zl81290950509.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m4 <- lm(m$fitted.values ~ m$residuals)
> summary(m4)

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

Residuals:
    Min      1Q  Median      3Q     Max 
-298.59 -170.90  -68.02  168.34  343.95 

Coefficients:
             Estimate Std. Error  t value Pr(>|t|)    
(Intercept) 9.817e+03  2.008e+01      489   <2e-16 ***
m$residuals 3.568e-16  4.257e-02 8.38e-15        1    
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 

Residual standard error: 196.7 on 94 degrees of freedom
Multiple R-squared: 8.741e-28,	Adjusted R-squared: -0.01064 
F-statistic: 8.217e-26 on 1 and 94 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/5k8kb1290950509.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 
-1017.13  -382.77    38.57   266.85  1044.38 

Coefficients:
            Estimate Std. Error t value Pr(>|t|)
(Intercept)  -1.5204    48.8563  -0.031    0.975
Residuals     0.1032     0.1038   0.994    0.323

Residual standard error: 476.2 on 93 degrees of freedom
  (2 observations deleted due to missingness)
Multiple R-squared: 0.01052,	Adjusted R-squared: -0.0001246 
F-statistic: 0.9883 on 1 and 93 DF,  p-value: 0.3227 

> abline(m5)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/6uhjw1290950509.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> hist(m$residuals,main='Residual Histogram',xlab='Residuals')
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/7uhjw1290950509.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> if (par1 > 0)
+ {
+ densityplot(~m$residuals,col='black',main=paste('Density Plot   bw = ',par1),bw=par1)
+ } else {
+ densityplot(~m$residuals,col='black',main='Density Plot')
+ }
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/8nrjh1290950509.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> acf(m$residuals,main='Residual Autocorrelation Function')
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/rcomp/tmp/9nrjh1290950509.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/101ig81290950509.tab") 
> try(system("convert tmp/1og4k1290950509.ps tmp/1og4k1290950509.png",intern=TRUE))
character(0)
> try(system("convert tmp/2og4k1290950509.ps tmp/2og4k1290950509.png",intern=TRUE))
character(0)
> try(system("convert tmp/3y7l51290950509.ps tmp/3y7l51290950509.png",intern=TRUE))
character(0)
> try(system("convert tmp/49zl81290950509.ps tmp/49zl81290950509.png",intern=TRUE))
character(0)
> try(system("convert tmp/5k8kb1290950509.ps tmp/5k8kb1290950509.png",intern=TRUE))
character(0)
> try(system("convert tmp/6uhjw1290950509.ps tmp/6uhjw1290950509.png",intern=TRUE))
character(0)
> try(system("convert tmp/7uhjw1290950509.ps tmp/7uhjw1290950509.png",intern=TRUE))
character(0)
> try(system("convert tmp/8nrjh1290950509.ps tmp/8nrjh1290950509.png",intern=TRUE))
character(0)
> try(system("convert tmp/9nrjh1290950509.ps tmp/9nrjh1290950509.png",intern=TRUE))
character(0)
> 
> 
> proc.time()
   user  system elapsed 
  1.881   1.428   4.691