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.
You are welcome to redistribute it under certain conditions.
Type 'license()' or 'licence()' for distribution details.

  Natural language support but running in an English locale

R is a collaborative project with many contributors.
Type 'contributors()' for more information and
'citation()' on how to cite R or R packages in publications.

Type 'demo()' for some demos, 'help()' for on-line help, or
'help.start()' for an HTML browser interface to help.
Type 'q()' to quit R.

> y <- c(56.3
+ ,62.3
+ ,63.3
+ ,59
+ ,62.5
+ ,62.5
+ ,59
+ ,56.5
+ ,62
+ ,53.8
+ ,61.5
+ ,61.5
+ ,64.5
+ ,58.3
+ ,51.3
+ ,58.8
+ ,65.3
+ ,59.5
+ ,61.3
+ ,63.3
+ ,61.8
+ ,53.5
+ ,58
+ ,61.3
+ ,63.3
+ ,61.5
+ ,60.8
+ ,59
+ ,65.5
+ ,56.3
+ ,64.3
+ ,58
+ ,64.3
+ ,57.5
+ ,57.8
+ ,61.5
+ ,62.3
+ ,61.8
+ ,65.3
+ ,58.3
+ ,62.8
+ ,59.3
+ ,61.5
+ ,62
+ ,61.3
+ ,62.3
+ ,52.8
+ ,59.8
+ ,59.5
+ ,61.3
+ ,63.5
+ ,64.8
+ ,60
+ ,59
+ ,55.8
+ ,57.8
+ ,61.3
+ ,62.3
+ ,64.3
+ ,55.5
+ ,64.5
+ ,60
+ ,56.3
+ ,58.3
+ ,60
+ ,54.5
+ ,55.8
+ ,62.8
+ ,60.5
+ ,63.3
+ ,66.8
+ ,60
+ ,60.5
+ ,64.3
+ ,58.3
+ ,66.5
+ ,65.3
+ ,60.5
+ ,59.5
+ ,59
+ ,61.3
+ ,61.5
+ ,64.8
+ ,56.8
+ ,66.5
+ ,61.5
+ ,63
+ ,57
+ ,65.5
+ ,62
+ ,56
+ ,61.3
+ ,55.5
+ ,61
+ ,54.5
+ ,66
+ ,56.5
+ ,56
+ ,51.5
+ ,62
+ ,63
+ ,61
+ ,64
+ ,61
+ ,59.8
+ ,61.3
+ ,63.3
+ ,63.5
+ ,61.5
+ ,60.3
+ ,61.3
+ ,64.8
+ ,60.5
+ ,57.3
+ ,59.5
+ ,60.8
+ ,60.5
+ ,67
+ ,64.8
+ ,50.5
+ ,57.5
+ ,60.5
+ ,61.8
+ ,61.3
+ ,66.3
+ ,53.3
+ ,59
+ ,57.8
+ ,60
+ ,68.3
+ ,67.5
+ ,63.8
+ ,65
+ ,59.5
+ ,66
+ ,61.8
+ ,57.3
+ ,66
+ ,56.5
+ ,58.3
+ ,61
+ ,62.8
+ ,59.3
+ ,67.3
+ ,66.3
+ ,64.5
+ ,60.5
+ ,66
+ ,57.5
+ ,64
+ ,68
+ ,63.5
+ ,69
+ ,63.8
+ ,66
+ ,63.5
+ ,59.5
+ ,66.3
+ ,57
+ ,60
+ ,57
+ ,67.3
+ ,62
+ ,65
+ ,59.5
+ ,67.8
+ ,58
+ ,60
+ ,58.5
+ ,58.3
+ ,61.5
+ ,65
+ ,66.5
+ ,68.5
+ ,57
+ ,61.5
+ ,66.5
+ ,52.5
+ ,55
+ ,71
+ ,66.5
+ ,58.8
+ ,66.3
+ ,65.8
+ ,71
+ ,59.5
+ ,69.8
+ ,62.5
+ ,56.5
+ ,57.5
+ ,65.3
+ ,67.3
+ ,67
+ ,66
+ ,61.8
+ ,60
+ ,63
+ ,60.5
+ ,65.5
+ ,62
+ ,59
+ ,61.8
+ ,63.3
+ ,66
+ ,61.8
+ ,63
+ ,57.5
+ ,63
+ ,56
+ ,60.5
+ ,56.8
+ ,64
+ ,60
+ ,69.5
+ ,63.3
+ ,56.3
+ ,72
+ ,65.3
+ ,60.8
+ ,55
+ ,55
+ ,66.5
+ ,56.8
+ ,64.8
+ ,64.5
+ ,58
+ ,62.8
+ ,63.8
+ ,57.8
+ ,57.3
+ ,63.5
+ ,55
+ ,66.5
+ ,65
+ ,61.5
+ ,62
+ ,59.3)
> x <- c(85
+ ,105
+ ,108
+ ,92
+ ,112.5
+ ,112
+ ,104
+ ,69
+ ,94.5
+ ,68.5
+ ,104
+ ,103.5
+ ,123.5
+ ,93
+ ,50.5
+ ,89
+ ,107
+ ,78.5
+ ,115
+ ,114
+ ,85
+ ,81
+ ,83.5
+ ,112
+ ,101
+ ,103.5
+ ,93.5
+ ,112
+ ,140
+ ,83.5
+ ,90
+ ,84
+ ,110.5
+ ,96
+ ,95
+ ,121
+ ,99.5
+ ,142.5
+ ,118
+ ,104.5
+ ,102.5
+ ,89.5
+ ,95
+ ,98.5
+ ,94
+ ,108
+ ,63.5
+ ,84.5
+ ,93.5
+ ,112
+ ,148.5
+ ,112
+ ,109
+ ,91.5
+ ,75
+ ,84
+ ,107
+ ,92.5
+ ,109.5
+ ,84
+ ,102.5
+ ,106
+ ,77
+ ,111.5
+ ,114
+ ,75
+ ,73.5
+ ,93.5
+ ,105
+ ,113.5
+ ,140
+ ,77
+ ,84.5
+ ,113.5
+ ,77.5
+ ,117.5
+ ,98
+ ,112
+ ,101
+ ,95
+ ,81
+ ,91
+ ,142
+ ,98.5
+ ,112
+ ,116.5
+ ,98.5
+ ,83.5
+ ,133
+ ,91.5
+ ,72.5
+ ,106.5
+ ,67
+ ,122.5
+ ,74
+ ,144.5
+ ,84
+ ,72.5
+ ,64
+ ,116
+ ,84
+ ,93.5
+ ,111.5
+ ,92
+ ,115
+ ,85
+ ,108
+ ,108
+ ,85
+ ,86
+ ,110.5
+ ,98
+ ,105
+ ,76.5
+ ,84
+ ,128
+ ,87
+ ,128
+ ,111
+ ,79
+ ,90
+ ,84
+ ,112
+ ,93
+ ,117
+ ,84
+ ,99.5
+ ,95
+ ,84
+ ,134
+ ,171.5
+ ,98.5
+ ,118.5
+ ,94.5
+ ,105
+ ,104
+ ,83
+ ,105.5
+ ,84
+ ,86
+ ,81
+ ,94
+ ,78.5
+ ,119.5
+ ,133
+ ,119
+ ,95
+ ,112
+ ,75
+ ,92
+ ,112
+ ,98.5
+ ,112.5
+ ,112.5
+ ,108
+ ,108
+ ,88
+ ,106
+ ,92
+ ,117.5
+ ,84
+ ,112
+ ,100
+ ,112
+ ,84
+ ,127.5
+ ,80.5
+ ,93.5
+ ,86.5
+ ,92.5
+ ,108.5
+ ,121
+ ,112
+ ,114
+ ,84
+ ,81
+ ,111.5
+ ,81
+ ,70
+ ,140
+ ,117
+ ,84
+ ,112
+ ,150.5
+ ,147
+ ,105
+ ,119.5
+ ,84
+ ,91
+ ,101
+ ,117.5
+ ,121
+ ,133
+ ,112
+ ,91.5
+ ,105
+ ,111
+ ,112
+ ,114
+ ,91
+ ,98
+ ,118
+ ,115.5
+ ,112
+ ,112
+ ,91
+ ,85
+ ,112
+ ,87.5
+ ,118
+ ,83.5
+ ,116
+ ,89
+ ,171.5
+ ,112
+ ,72
+ ,150
+ ,134.5
+ ,97
+ ,71.5
+ ,73.5
+ ,112
+ ,75
+ ,128
+ ,98
+ ,84
+ ,99
+ ,112
+ ,79.5
+ ,80.5
+ ,102.5
+ ,76
+ ,112
+ ,114
+ ,140
+ ,107.5
+ ,87)
> 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 
-7.35645 -1.75806 -0.06047  1.79840  5.87542 

Coefficients:
             Estimate Std. Error t value Pr(>|t|)    
(Intercept) 45.433101   0.863186   52.63   <2e-16 ***
x            0.157258   0.008368   18.79   <2e-16 ***
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1 

Residual standard error: 2.499 on 235 degrees of freedom
Multiple R-squared: 0.6004,	Adjusted R-squared: 0.5987 
F-statistic: 353.1 on 1 and 235 DF,  p-value: < 2.2e-16 

> postscript(file="/var/www/html/freestat/rcomp/tmp/1pp6s1289124421.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/freestat/rcomp/tmp/2pp6s1289124421.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 
-7.785e-15 -2.137e-15  8.912e-17  2.256e-15  8.463e-15 

Coefficients:
             Estimate Std. Error   t value Pr(>|t|)    
(Intercept) 4.543e+01  9.448e-16 4.809e+16   <2e-16 ***
x           1.573e-01  9.160e-18 1.717e+16   <2e-16 ***
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1 

Residual standard error: 2.736e-15 on 235 degrees of freedom
Multiple R-squared:     1,	Adjusted R-squared:     1 
F-statistic: 2.948e+32 on 1 and 235 DF,  p-value: < 2.2e-16 

> z2 <- as.data.frame(cbind(x,m$fitted.values))
> names(z2) <- list('x','Fitted')
> plot(z2,main='Scatterplot, lowess, and regression line')
> lines(lowess(z2),col='red')
> abline(m2)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/freestat/rcomp/tmp/30y5u1289124421.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m3 <- lm(m$residuals ~ x)
> summary(m3)

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

Residuals:
     Min       1Q   Median       3Q      Max 
-7.35645 -1.75806 -0.06047  1.79840  5.87542 

Coefficients:
              Estimate Std. Error   t value Pr(>|t|)
(Intercept)  3.410e-17  8.632e-01  3.95e-17        1
x           -3.659e-19  8.368e-03 -4.37e-17        1

Residual standard error: 2.499 on 235 degrees of freedom
Multiple R-squared: 6.1e-35,	Adjusted R-squared: -0.004255 
F-statistic: 1.433e-32 on 1 and 235 DF,  p-value: 1 

> z3 <- as.data.frame(cbind(x,m$residuals))
> names(z3) <- list('x','Residuals')
> plot(z3,main='Scatterplot, lowess, and regression line')
> lines(lowess(z3),col='red')
> abline(m3)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/freestat/rcomp/tmp/4t84g1289124421.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> m4 <- lm(m$fitted.values ~ m$residuals)
> summary(m4)

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

Residuals:
     Min       1Q   Median       3Q      Max 
-7.98995 -2.56456 -0.04844  1.68140 11.03822 

Coefficients:
             Estimate Std. Error t value Pr(>|t|)    
(Intercept) 6.136e+01  1.990e-01   308.4   <2e-16 ***
m$residuals 7.034e-17  7.997e-02 8.8e-16        1    
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1 

Residual standard error: 3.064 on 235 degrees of freedom
Multiple R-squared: 5.31e-30,	Adjusted R-squared: -0.004255 
F-statistic: 1.248e-27 on 1 and 235 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/5lzl01289124421.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 
-7.35740 -1.76242 -0.07267  1.80201  5.87782 

Coefficients:
             Estimate Std. Error t value Pr(>|t|)
(Intercept)  0.010589   0.162683   0.065    0.948
Residuals   -0.005042   0.065232  -0.077    0.938

Residual standard error: 2.499 on 234 degrees of freedom
  (2 observations deleted due to missingness)
Multiple R-squared: 2.553e-05,	Adjusted R-squared: -0.004248 
F-statistic: 0.005974 on 1 and 234 DF,  p-value: 0.9385 

> abline(m5)
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/freestat/rcomp/tmp/6lzl01289124421.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> hist(m$residuals,main='Residual Histogram',xlab='Residuals')
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/freestat/rcomp/tmp/7wq3l1289124421.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> if (par1 > 0)
+ {
+ densityplot(~m$residuals,col='black',main=paste('Density Plot   bw = ',par1),bw=par1)
+ } else {
+ densityplot(~m$residuals,col='black',main='Density Plot')
+ }
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/freestat/rcomp/tmp/8wq3l1289124421.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> acf(m$residuals,main='Residual Autocorrelation Function')
> dev.off()
null device 
          1 
> postscript(file="/var/www/html/freestat/rcomp/tmp/97hk61289124421.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/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/103r0f1289124421.tab") 
> 
> try(system("convert tmp/1pp6s1289124421.ps tmp/1pp6s1289124421.png",intern=TRUE))
character(0)
> try(system("convert tmp/2pp6s1289124421.ps tmp/2pp6s1289124421.png",intern=TRUE))
character(0)
> try(system("convert tmp/30y5u1289124421.ps tmp/30y5u1289124421.png",intern=TRUE))
character(0)
> try(system("convert tmp/4t84g1289124421.ps tmp/4t84g1289124421.png",intern=TRUE))
character(0)
> try(system("convert tmp/5lzl01289124421.ps tmp/5lzl01289124421.png",intern=TRUE))
character(0)
> try(system("convert tmp/6lzl01289124421.ps tmp/6lzl01289124421.png",intern=TRUE))
character(0)
> try(system("convert tmp/7wq3l1289124421.ps tmp/7wq3l1289124421.png",intern=TRUE))
character(0)
> try(system("convert tmp/8wq3l1289124421.ps tmp/8wq3l1289124421.png",intern=TRUE))
character(0)
> try(system("convert tmp/97hk61289124421.ps tmp/97hk61289124421.png",intern=TRUE))
character(0)
> 
> 
> proc.time()
   user  system elapsed 
  3.098   2.284   3.469