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Type 'q()' to quit R. > y <- c(12,11,14,12,21,12,22,11,10,13,10,8,15,14,10,14,14,11,10,13,7,14,12,14,11,9,11,15,14,13,9,15,10,11,13,8,20,12,10,10,9,14,8,14,11,13,9,11,15,11,10,14,18,14,11,12,13,9,10,15,20,12,12,14,13,11,17,12,13,14,13,15,13,10,11,19,13,17,13,9,11,10,9,12,12,13,13,12,15,22,13,15,13,15,10,11,16,11,11,10,10,16,12,11,16,19,11,16,15,24,14,15,11,15,12,10,14,13,9,15,15,14,11,8,11,11,8,10,11,13,11,20,10,15,12,14,23,14,16,11,12,10,14,12,12,11,12,13,11,19,12,17,9,12,19,18,15,14,11,9,18,16) > x <- c(38,32,35,33,37,29,31,36,35,38,31,34,35,38,37,33,32,38,38,32,33,31,38,39,32,32,35,37,33,33,28,32,31,37,30,33,31,33,31,33,32,33,32,33,28,35,39,34,38,32,38,30,33,38,32,32,34,34,36,34,28,34,35,35,31,37,35,27,40,37,36,38,39,41,27,30,37,31,31,27,36,38,37,33,34,31,39,34,32,33,36,32,41,28,30,36,35,31,34,36,36,35,37,28,39,32,35,39,35,42,34,33,41,33,34,32,40,40,35,36,37,27,39,38,31,33,32,39,36,33,33,32,37,30,38,29,22,35,35,34,35,34,34,35,23,31,27,36,31,32,39,37,38,39,34,31,32,37,36,32,35,36) > 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$_version), Office for Research Development and Education, URL http://www.wessa.net/rwasp_YOURPAGE.wasp/ > #Source of accompanying publication: Office for Research, Development, and Education > #Technical description: Write here your technical program description (don't use hard returns!) > par1 <- as.numeric(par1) > library(lattice) > z <- as.data.frame(cbind(x,y)) > m <- lm(y~x) > summary(m) Call: lm(formula = y ~ x) Residuals: Min 1Q Median 3Q Max -5.9960 -2.1182 -0.6121 1.4751 11.6321 Coefficients: Estimate Std. Error t value Pr(>|t|) (Intercept) 15.29925 2.40780 6.354 2.09e-09 *** x -0.06979 0.07025 -0.994 0.322 --- Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 Residual standard error: 3.166 on 160 degrees of freedom Multiple R-squared: 0.006132, Adjusted R-squared: -7.974e-05 F-statistic: 0.9872 on 1 and 160 DF, p-value: 0.3219 > postscript(file="/var/wessaorg/rcomp/tmp/1n3gq1321189228.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > plot(z,main='Scatterplot, lowess, and regression line') > lines(lowess(z),col='red') > abline(m) > grid() > dev.off() null device 1 > postscript(file="/var/wessaorg/rcomp/tmp/2isvq1321189228.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > m2 <- lm(m$fitted.values ~ x) > summary(m2) Call: lm(formula = m$fitted.values ~ x) Residuals: Min 1Q Median 3Q Max -6.718e-15 -4.681e-16 2.210e-17 6.205e-16 1.942e-15 Coefficients: Estimate Std. Error t value Pr(>|t|) (Intercept) 1.530e+01 6.420e-16 2.383e+16 <2e-16 *** x -6.979e-02 1.873e-17 -3.726e+15 <2e-16 *** --- Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 Residual standard error: 8.442e-16 on 160 degrees of freedom Multiple R-squared: 1, Adjusted R-squared: 1 F-statistic: 1.389e+31 on 1 and 160 DF, p-value: < 2.2e-16 > z2 <- as.data.frame(cbind(x,m$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/3fprc1321189228.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 -5.9960 -2.1182 -0.6121 1.4751 11.6321 Coefficients: Estimate Std. Error t value Pr(>|t|) (Intercept) -6.233e-17 2.408e+00 0 1 x -2.694e-19 7.025e-02 0 1 Residual standard error: 3.166 on 160 degrees of freedom Multiple R-squared: 2.949e-34, Adjusted R-squared: -0.00625 F-statistic: 4.719e-32 on 1 and 160 DF, p-value: 1 > z3 <- as.data.frame(cbind(x,m$residuals)) > names(z3) <- list('x','Residuals') > plot(z3,main='Scatterplot, lowess, and regression line') > lines(lowess(z3),col='red') > abline(m3) > grid() > dev.off() null device 1 > postscript(file="/var/wessaorg/rcomp/tmp/4wkoc1321189228.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > m4 <- lm(m$fitted.values ~ m$residuals) > summary(m4) Call: lm(formula = m$fitted.values ~ m$residuals) Residuals: Min 1Q Median 3Q Max -0.55190 -0.20292 0.00646 0.14605 0.84400 Coefficients: Estimate Std. Error t value Pr(>|t|) (Intercept) 1.292e+01 1.954e-02 661.2 <2e-16 *** m$residuals 3.434e-17 6.210e-03 0.0 1 --- Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 Residual standard error: 0.2487 on 160 degrees of freedom Multiple R-squared: 1.543e-28, Adjusted R-squared: -0.00625 F-statistic: 2.469e-26 on 1 and 160 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/5evu41321189228.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > myr <- as.ts(m$residuals) > z5 <- as.data.frame(cbind(lag(myr,1),myr)) > names(z5) <- list('Lagged Residuals','Residuals') > plot(z5,main='Lag plot') > m5 <- lm(z5) > summary(m5) Call: lm(formula = z5) Residuals: Min 1Q Median 3Q Max -5.9989 -2.1050 -0.6726 1.5628 11.5754 Coefficients: Estimate Std. Error t value Pr(>|t|) (Intercept) 0.004505 0.250220 0.018 0.986 Residuals 0.024372 0.079529 0.306 0.760 Residual standard error: 3.175 on 159 degrees of freedom (2 observations deleted due to missingness) Multiple R-squared: 0.0005903, Adjusted R-squared: -0.005695 F-statistic: 0.09392 on 1 and 159 DF, p-value: 0.7597 > abline(m5) > grid() > dev.off() null device 1 > postscript(file="/var/wessaorg/rcomp/tmp/601af1321189228.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > hist(m$residuals,main='Residual Histogram',xlab='Residuals') > dev.off() null device 1 > postscript(file="/var/wessaorg/rcomp/tmp/7ak7s1321189228.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/8t50h1321189228.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > acf(m$residuals,main='Residual Autocorrelation Function') > dev.off() null device 1 > postscript(file="/var/wessaorg/rcomp/tmp/98h8r1321189228.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > qqnorm(x) > qqline(x) > grid() > dev.off() null device 1 > > #Note: the /var/wessaorg/rcomp/createtable file can be downloaded at http://www.wessa.net/cretab > load(file="/var/wessaorg/rcomp/createtable") > > a<-table.start() > a<-table.row.start(a) > a<-table.element(a,'Simple Linear Regression',5,TRUE) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a,'Statistics',1,TRUE) > a<-table.element(a,'Estimate',1,TRUE) > a<-table.element(a,'S.D.',1,TRUE) > a<-table.element(a,'T-STAT (H0: coeff=0)',1,TRUE) > a<-table.element(a,'P-value (two-sided)',1,TRUE) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a,'constant term',header=TRUE) > a<-table.element(a,m$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/1093hp1321189228.tab") > > try(system("convert tmp/1n3gq1321189228.ps tmp/1n3gq1321189228.png",intern=TRUE)) character(0) > try(system("convert tmp/2isvq1321189228.ps tmp/2isvq1321189228.png",intern=TRUE)) character(0) > try(system("convert tmp/3fprc1321189228.ps tmp/3fprc1321189228.png",intern=TRUE)) character(0) > try(system("convert tmp/4wkoc1321189228.ps tmp/4wkoc1321189228.png",intern=TRUE)) character(0) > try(system("convert tmp/5evu41321189228.ps tmp/5evu41321189228.png",intern=TRUE)) character(0) > try(system("convert tmp/601af1321189228.ps tmp/601af1321189228.png",intern=TRUE)) character(0) > try(system("convert tmp/7ak7s1321189228.ps tmp/7ak7s1321189228.png",intern=TRUE)) character(0) > try(system("convert tmp/8t50h1321189228.ps tmp/8t50h1321189228.png",intern=TRUE)) character(0) > try(system("convert tmp/98h8r1321189228.ps tmp/98h8r1321189228.png",intern=TRUE)) character(0) > > > proc.time() user system elapsed 2.559 0.451 3.055