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Type 'q()' to quit R. > y <- c(288186,281477,282656,280190,280408,276836,275216,274352,271311,289802,290726,292300,278506,269826,265861,269034,264176,255198,253353,246057,235372,258556,260993,254663,250643,243422,247105,248541,245039,237080,237085,225554,226839,247934,248333,246969,245098,246263,255765,264319,268347,273046,273963,267430,271993,292710,295881,293299,288576,286445,297584,300431,298522,292213,285383,277537,277891,302686,300653,296369,287224) > x <- c(868,1022,438,594,946,797,775,978,793,813,782,892,841,991,394,536,906,734,789,1006,785,775,858,710,828,922,535,729,754,641,723,716,615,679,629,659,875,784,348,392,686,631,674,724,658,628,653,651,739,703,331,386,732,729,596,684,707,739,678,608,681) > 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$_version), Office for Research Development and Education, URL http://www.wessa.net/rwasp_YOURPAGE.wasp/ > #Source of accompanying publication: Office for Research, Development, and Education > #Technical description: Write here your technical program description (don't use hard returns!) > par1 <- as.numeric(par1) > library(lattice) > z <- as.data.frame(cbind(x,y)) > m <- lm(y~x) > summary(m) Call: lm(formula = y ~ x) Residuals: Min 1Q Median 3Q Max -44119 -19045 3019 17255 33586 Coefficients: Estimate Std. Error t value Pr(>|t|) (Intercept) 280167.83 12369.83 22.649 <2e-16 *** x -14.98 16.96 -0.883 0.381 --- Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 Residual standard error: 20610 on 59 degrees of freedom Multiple R-squared: 0.01305, Adjusted R-squared: -0.003682 F-statistic: 0.7799 on 1 and 59 DF, p-value: 0.3808 > postscript(file="/var/www/html/rcomp/tmp/13r031290818494.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > plot(z,main='Scatterplot, lowess, and regression line') > lines(lowess(z),col='red') > abline(m) > grid() > dev.off() null device 1 > postscript(file="/var/www/html/rcomp/tmp/23r031290818494.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > m2 <- lm(m$fitted.values ~ x) > summary(m2) Call: lm(formula = m$fitted.values ~ x) Residuals: Min 1Q Median 3Q Max -4.734e-11 -2.870e-11 -1.397e-11 1.858e-12 7.107e-10 Coefficients: Estimate Std. Error t value Pr(>|t|) (Intercept) 2.802e+05 5.746e-11 4.876e+15 <2e-16 *** x -1.498e+01 7.877e-14 -1.901e+14 <2e-16 *** --- Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 Residual standard error: 9.576e-11 on 59 degrees of freedom Multiple R-squared: 1, Adjusted R-squared: 1 F-statistic: 3.614e+28 on 1 and 59 DF, p-value: < 2.2e-16 > z2 <- as.data.frame(cbind(x,m$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/3e0z61290818494.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 -44119 -19045 3019 17255 33586 Coefficients: Estimate Std. Error t value Pr(>|t|) (Intercept) -1.452e-11 1.237e+04 -1.17e-15 1 x 1.646e-14 1.696e+01 9.71e-16 1 Residual standard error: 20610 on 59 degrees of freedom Multiple R-squared: 2.715e-32, Adjusted R-squared: -0.01695 F-statistic: 1.602e-30 on 1 and 59 DF, p-value: 1 > z3 <- as.data.frame(cbind(x,m$residuals)) > names(z3) <- list('x','Residuals') > plot(z3,main='Scatterplot, lowess, and regression line') > lines(lowess(z3),col='red') > abline(m3) > grid() > dev.off() null device 1 > postscript(file="/var/www/html/rcomp/tmp/4prgr1290818494.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > m4 <- lm(m$fitted.values ~ m$residuals) > summary(m4) Call: lm(formula = m$fitted.values ~ m$residuals) Residuals: Min 1Q Median 3Q Max -4633.3 -1203.7 -155.4 1072.6 5715.2 Coefficients: Estimate Std. Error t value Pr(>|t|) (Intercept) 2.695e+05 3.035e+02 888 <2e-16 *** m$residuals 6.376e-16 1.497e-02 4.26e-14 1 --- Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 Residual standard error: 2370 on 59 degrees of freedom Multiple R-squared: 1.073e-27, Adjusted R-squared: -0.01695 F-statistic: 6.333e-26 on 1 and 59 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/5prgr1290818494.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > myr <- as.ts(m$residuals) > z5 <- as.data.frame(cbind(lag(myr,1),myr)) > names(z5) <- list('Lagged Residuals','Residuals') > plot(z5,main='Lag plot') > m5 <- lm(z5) > summary(m5) Call: lm(formula = z5) Residuals: Min 1Q Median 3Q Max -15648 -4986 -1149 3573 26123 Coefficients: Estimate Std. Error t value Pr(>|t|) (Intercept) -89.01037 1095.72152 -0.081 0.936 Residuals 0.90854 0.05392 16.849 <2e-16 *** --- Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 Residual standard error: 8487 on 58 degrees of freedom (2 observations deleted due to missingness) Multiple R-squared: 0.8304, Adjusted R-squared: 0.8274 F-statistic: 283.9 on 1 and 58 DF, p-value: < 2.2e-16 > abline(m5) > grid() > dev.off() null device 1 > postscript(file="/var/www/html/rcomp/tmp/6ziyc1290818494.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > hist(m$residuals,main='Residual Histogram',xlab='Residuals') > dev.off() null device 1 > postscript(file="/var/www/html/rcomp/tmp/7ziyc1290818494.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/8aaff1290818494.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > acf(m$residuals,main='Residual Autocorrelation Function') > dev.off() null device 1 > postscript(file="/var/www/html/rcomp/tmp/9aaff1290818494.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > qqnorm(x) > qqline(x) > grid() > dev.off() null device 1 > > #Note: the /var/www/html/rcomp/createtable file can be downloaded at http://www.wessa.net/cretab > load(file="/var/www/html/rcomp/createtable") > > a<-table.start() > a<-table.row.start(a) > a<-table.element(a,'Simple Linear Regression',5,TRUE) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a,'Statistics',1,TRUE) > a<-table.element(a,'Estimate',1,TRUE) > a<-table.element(a,'S.D.',1,TRUE) > a<-table.element(a,'T-STAT (H0: coeff=0)',1,TRUE) > a<-table.element(a,'P-value (two-sided)',1,TRUE) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a,'constant term',header=TRUE) > a<-table.element(a,m$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/10t4ku1290818494.tab") > > try(system("convert tmp/13r031290818494.ps tmp/13r031290818494.png",intern=TRUE)) character(0) > try(system("convert tmp/23r031290818494.ps tmp/23r031290818494.png",intern=TRUE)) character(0) > try(system("convert tmp/3e0z61290818494.ps tmp/3e0z61290818494.png",intern=TRUE)) character(0) > try(system("convert tmp/4prgr1290818494.ps tmp/4prgr1290818494.png",intern=TRUE)) character(0) > try(system("convert tmp/5prgr1290818494.ps tmp/5prgr1290818494.png",intern=TRUE)) character(0) > try(system("convert tmp/6ziyc1290818494.ps tmp/6ziyc1290818494.png",intern=TRUE)) character(0) > try(system("convert tmp/7ziyc1290818494.ps tmp/7ziyc1290818494.png",intern=TRUE)) character(0) > try(system("convert tmp/8aaff1290818494.ps tmp/8aaff1290818494.png",intern=TRUE)) character(0) > try(system("convert tmp/9aaff1290818494.ps tmp/9aaff1290818494.png",intern=TRUE)) character(0) > > > proc.time() user system elapsed 1.802 1.341 4.237