R version 2.8.0 (2008-10-20)
Copyright (C) 2008 The R Foundation for Statistical Computing
ISBN 3-900051-07-0

R is free software and comes with ABSOLUTELY NO WARRANTY.
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> y <- c(3940.35
+ ,4696.69
+ ,4572.83
+ ,3860.66
+ ,3400.91
+ ,3966.11
+ ,3766.99
+ ,4206.35
+ ,3672.82
+ ,3369.63
+ ,2597.93
+ ,2470.52
+ ,2772.73
+ ,2151.83
+ ,1840.26
+ ,2116.24
+ ,2110.49
+ ,2160.54
+ ,2027.13
+ ,1805.43
+ ,1498.80
+ ,1690.20
+ ,1930.58
+ ,1950.40
+ ,1934.03
+ ,1731.49
+ ,1845.35
+ ,1688.23
+ ,1615.73
+ ,1463.21
+ ,1328.26
+ ,1314.85
+ ,1172.06
+ ,1329.75
+ ,1478.78
+ ,1335.51
+ ,1320.91
+ ,1337.52
+ ,1341.17
+ ,1464.31
+ ,1595.91
+ ,1622.80
+ ,1735.02
+ ,1810.45
+ ,1786.94
+ ,1932.21
+ ,1960.26
+ ,2003.37
+ ,2066.15
+ ,2029.82
+ ,1994.22
+ ,1920.15
+ ,1986.74
+ ,2047.79
+ ,1887.36
+ ,1838.10
+ ,1896.84
+ ,1974.99
+ ,2096.81
+ ,2175.44
+ ,2062.41
+ ,2051.72
+ ,1999.23
+ ,1921.65
+ ,2068.22
+ ,2056.96
+ ,2184.83
+ ,2152.09
+ ,2151.69
+ ,2120.30
+ ,2232.82
+ ,2205.32
+ ,2305.82
+ ,2281.39
+ ,2339.79
+ ,2322.57
+ ,2178.88
+ ,2172.09
+ ,2091.47
+ ,2183.75
+ ,2258.43
+ ,2366.71
+ ,2431.77
+ ,2415.29
+ ,2463.93
+ ,2416.15
+ ,2421.64
+ ,2525.09
+ ,2604.52
+ ,2603.23
+ ,2546.27
+ ,2596.36
+ ,2701.50
+ ,2859.12
+ ,2660.96
+ ,2652.28
+ ,2389.86
+ ,2271.48
+ ,2279.10
+ ,2412.80
+ ,2522.66
+ ,2292.98
+ ,2325.55
+ ,2367.52
+ ,2091.88
+ ,1720.95
+ ,1535.57
+ ,1577.03
+ ,1476.42
+ ,1377.84
+ ,1528.59
+ ,1717.30
+ ,1774.33
+ ,1835.04
+ ,1978.50
+ ,2009.06
+ ,2122.42
+ ,2045.11
+ ,2144.60
+ ,2269.15
+ ,2147.35
+ ,2238.26
+ ,2397.96
+ ,2461.19
+ ,2257.04
+ ,2109.24
+ ,2254.70
+ ,2114.03
+ ,2368.62
+ ,2507.41)
> x <- c(25.94,28.66,33.95,31.01,21.00,26.19,25.41,30.47,12.88,9.78,8.25,7.44,10.81,9.12,11.03,12.74,9.98,11.62,9.40,9.27,7.76,8.78,10.65,10.95,12.36,10.85,11.84,12.14,11.65,8.86,7.63,7.38,7.25,8.03,7.75,7.16,7.18,7.51,7.07,7.11,8.98,9.53,10.54,11.31,10.36,11.44,10.45,10.69,11.28,11.96,13.52,12.89,14.03,16.27,16.17,17.25,19.38,26.20,33.53,32.20,38.45,44.86,41.67,36.06,39.76,36.81,42.65,46.89,53.61,57.59,67.82,71.89,75.51,68.49,62.72,70.39,59.77,57.27,67.96,67.85,76.98,81.08,91.66,84.84,85.73,84.61,92.91,99.80,121.19,122.04,131.76,138.48,153.47,189.95,182.22,198.08,135.36,125.02,143.50,173.95,188.75,167.44,158.95,169.53,113.66,107.59,92.67,85.35,90.13,89.31,105.12,125.83,135.81,142.43,163.39,168.21,185.35,188.50,199.91,210.73,192.06,204.62,235.00,261.09,256.88,251.53,257.25,243.10,283.75,300.98)
> 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 
-949.0 -291.4  -92.0  114.2 2552.9 

Coefficients:
             Estimate Std. Error t value Pr(>|t|)    
(Intercept) 2113.3585    77.4825  27.275   <2e-16 ***
x              1.0612     0.7211   1.472    0.144    
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1 

Residual standard error: 627.7 on 128 degrees of freedom
Multiple R-squared: 0.01664,	Adjusted R-squared: 0.008955 
F-statistic: 2.166 on 1 and 128 DF,  p-value: 0.1436 

> postscript(file="/var/www/html/freestat/rcomp/tmp/181bx1292074560.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/html/freestat/rcomp/tmp/281bx1292074560.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 
-5.483e-13 -1.109e-13 -1.287e-14  1.254e-13  3.877e-13 

Coefficients:
             Estimate Std. Error   t value Pr(>|t|)    
(Intercept) 2.113e+03  1.941e-14 1.089e+17   <2e-16 ***
x           1.061e+00  1.806e-16 5.874e+15   <2e-16 ***
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1 

Residual standard error: 1.573e-13 on 128 degrees of freedom
Multiple R-squared:     1,	Adjusted R-squared:     1 
F-statistic: 3.451e+31 on 1 and 128 DF,  p-value: < 2.2e-16 

> z2 <- as.data.frame(cbind(x,m$fitted.values))
> names(z2) <- list('x','Fitted')
> plot(z2,main='Scatterplot, lowess, and regression line')
> lines(lowess(z2),col='red')
> abline(m2)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/freestat/rcomp/tmp/3jabi1292074560.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m3 <- lm(m$residuals ~ x)
> summary(m3)

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

Residuals:
   Min     1Q Median     3Q    Max 
-949.0 -291.4  -92.0  114.2 2552.9 

Coefficients:
             Estimate Std. Error  t value Pr(>|t|)
(Intercept) 2.357e-14  7.748e+01 3.04e-16        1
x           2.194e-17  7.211e-01 3.04e-17        1

Residual standard error: 627.7 on 128 degrees of freedom
Multiple R-squared: 1.589e-33,	Adjusted R-squared: -0.007812 
F-statistic: 2.034e-31 on 1 and 128 DF,  p-value: 1 

> z3 <- as.data.frame(cbind(x,m$residuals))
> names(z3) <- list('x','Residuals')
> plot(z3,main='Scatterplot, lowess, and regression line')
> lines(lowess(z3),col='red')
> abline(m3)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/freestat/rcomp/tmp/4cjs31292074560.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m4 <- lm(m$fitted.values ~ m$residuals)
> summary(m4)

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

Residuals:
   Min     1Q Median     3Q    Max 
-72.73 -68.19 -35.49  51.65 239.18 

Coefficients:
              Estimate Std. Error   t value Pr(>|t|)    
(Intercept)  2.194e+03  7.161e+00     306.3   <2e-16 ***
m$residuals -5.037e-17  1.150e-02 -4.38e-15        1    
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1 

Residual standard error: 81.65 on 128 degrees of freedom
Multiple R-squared: 4.75e-29,	Adjusted R-squared: -0.007812 
F-statistic: 6.08e-27 on 1 and 128 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/freestat/rcomp/tmp/5mb9o1292074560.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 
-656.00  -83.26   13.96   89.99  912.25 

Coefficients:
             Estimate Std. Error t value Pr(>|t|)    
(Intercept) -13.41744   16.68739  -0.804    0.423    
Residuals     0.91921    0.02669  34.442   <2e-16 ***
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1 

Residual standard error: 189.5 on 127 degrees of freedom
  (2 observations deleted due to missingness)
Multiple R-squared: 0.9033,	Adjusted R-squared: 0.9025 
F-statistic:  1186 on 1 and 127 DF,  p-value: < 2.2e-16 

> abline(m5)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/freestat/rcomp/tmp/6mb9o1292074560.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> hist(m$residuals,main='Residual Histogram',xlab='Residuals')
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/freestat/rcomp/tmp/7fk891292074560.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> if (par1 > 0)
+ {
+ densityplot(~m$residuals,col='black',main=paste('Density Plot   bw = ',par1),bw=par1)
+ } else {
+ densityplot(~m$residuals,col='black',main='Density Plot')
+ }
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/freestat/rcomp/tmp/8fk891292074560.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> acf(m$residuals,main='Residual Autocorrelation Function')
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/freestat/rcomp/tmp/9fk891292074560.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/html/freestat/rcomp/createtable file can be downloaded at http://www.wessa.net/cretab
> load(file="/var/www/html/freestat/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/freestat/rcomp/tmp/10435l1292074560.tab") 
> try(system("convert tmp/181bx1292074560.ps tmp/181bx1292074560.png",intern=TRUE))
character(0)
> try(system("convert tmp/281bx1292074560.ps tmp/281bx1292074560.png",intern=TRUE))
character(0)
> try(system("convert tmp/3jabi1292074560.ps tmp/3jabi1292074560.png",intern=TRUE))
character(0)
> try(system("convert tmp/4cjs31292074560.ps tmp/4cjs31292074560.png",intern=TRUE))
character(0)
> try(system("convert tmp/5mb9o1292074560.ps tmp/5mb9o1292074560.png",intern=TRUE))
character(0)
> try(system("convert tmp/6mb9o1292074560.ps tmp/6mb9o1292074560.png",intern=TRUE))
character(0)
> try(system("convert tmp/7fk891292074560.ps tmp/7fk891292074560.png",intern=TRUE))
character(0)
> try(system("convert tmp/8fk891292074560.ps tmp/8fk891292074560.png",intern=TRUE))
character(0)
> try(system("convert tmp/9fk891292074560.ps tmp/9fk891292074560.png",intern=TRUE))
character(0)
> 
> 
> proc.time()
   user  system elapsed 
  3.011   2.205   3.274