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Type 'q()' to quit R. > y <- c(36.805,36.75,36.645,36.855,36.535,36.655,36.40,36.50,36.425,37.005,36.75,37.06,37.00,36.955,36.905,36.80,36.61,36.40,35.87,35.215,35.65,35.79,35.72,36.305,35.80,36.135,36.395,36.435,36.755,36.85,36.90,37.16,37.48,37.775,37.90,38.01,37.68,38.06,37.83,37.605,38.02,38.065,38.21,38.00,38.335,38.51,38.30,38.345,38.185,38.60,38.965,38.36,38.54,38.425,38.625,39.025,38.91,39.24,39.66) > x <- c(56.89,57.95,57.75,57.50,57.52,56.70,56.20,56.00,56.05,56.70,56.44,56.45,56.32,56.56,57.15,57.40,59.74,59.65,59.13,57.57,56.26,56.71,56.69,56.98,56.18,56.50,57.65,57.82,57.61,57.87,57.41,57.45,57.38,57.84,58.54,58.47,59.29,59.25,59.11,59.03,59.86,59.34,59.97,58.50,59.09,59.61,58.99,59.54,59.79,59.26,58.46,58.44,58.08,56.80,56.79,57.12,57.26,57.05,57.24) > par1 = '0' > 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 -2.0311 -0.5698 -0.0564 0.4238 2.5335 Coefficients: Estimate Std. Error t value Pr(>|t|) (Intercept) 16.3731 6.1743 2.652 0.01035 * x 0.3626 0.1068 3.395 0.00125 ** --- Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 Residual standard error: 0.955 on 57 degrees of freedom Multiple R-squared: 0.1682, Adjusted R-squared: 0.1536 F-statistic: 11.53 on 1 and 57 DF, p-value: 0.001253 > postscript(file="/var/wessaorg/rcomp/tmp/1o6qe1321312419.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/259oy1321312419.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 -3.580e-15 -1.561e-15 -1.486e-16 1.603e-15 8.211e-15 Coefficients: Estimate Std. Error t value Pr(>|t|) (Intercept) 1.637e+01 1.402e-14 1.168e+15 <2e-16 *** x 3.626e-01 2.424e-16 1.496e+15 <2e-16 *** --- Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 Residual standard error: 2.168e-15 on 57 degrees of freedom Multiple R-squared: 1, Adjusted R-squared: 1 F-statistic: 2.237e+30 on 1 and 57 DF, p-value: < 2.2e-16 > z2 <- as.data.frame(cbind(x,m$fitted.values)) > names(z2) <- list('x','Fitted') > plot(z2,main='Scatterplot, lowess, and regression line') > lines(lowess(z2),col='red') > abline(m2) > grid() > dev.off() null device 1 > postscript(file="/var/wessaorg/rcomp/tmp/39qml1321312419.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > m3 <- lm(m$residuals ~ x) > summary(m3) Call: lm(formula = m$residuals ~ x) Residuals: Min 1Q Median 3Q Max -2.0311 -0.5698 -0.0564 0.4238 2.5335 Coefficients: Estimate Std. Error t value Pr(>|t|) (Intercept) 4.147e-16 6.174e+00 0 1 x -6.916e-18 1.068e-01 0 1 Residual standard error: 0.955 on 57 degrees of freedom Multiple R-squared: 1.392e-33, Adjusted R-squared: -0.01754 F-statistic: 7.935e-32 on 1 and 57 DF, p-value: 1 > z3 <- as.data.frame(cbind(x,m$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/4k2nj1321312419.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 -0.65692 -0.36868 -0.08769 0.43441 0.78247 Coefficients: Estimate Std. Error t value Pr(>|t|) (Intercept) 3.733e+01 5.592e-02 667.7 <2e-16 *** m$residuals -2.988e-16 5.957e-02 0.0 1 --- Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 Residual standard error: 0.4295 on 57 degrees of freedom Multiple R-squared: 1.2e-28, Adjusted R-squared: -0.01754 F-statistic: 6.842e-27 on 1 and 57 DF, p-value: 1 > z4 <- as.data.frame(cbind(m$residuals,m$fitted.values)) > names(z4) <- list('Residuals','Fitted') > plot(z4,main='Scatterplot, lowess, and regression line') > lines(lowess(z4),col='red') > abline(m4) > grid() > dev.off() null device 1 > postscript(file="/var/wessaorg/rcomp/tmp/5c4rw1321312419.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > myr <- as.ts(m$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 -1.08513 -0.20675 -0.05301 0.25808 0.86479 Coefficients: Estimate Std. Error t value Pr(>|t|) (Intercept) 0.04708 0.04446 1.059 0.294 Residuals 1.00094 0.05016 19.954 <2e-16 *** --- Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 Residual standard error: 0.3382 on 56 degrees of freedom (2 observations deleted due to missingness) Multiple R-squared: 0.8767, Adjusted R-squared: 0.8745 F-statistic: 398.2 on 1 and 56 DF, p-value: < 2.2e-16 > abline(m5) > grid() > dev.off() null device 1 > postscript(file="/var/wessaorg/rcomp/tmp/6h5un1321312419.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > hist(m$residuals,main='Residual Histogram',xlab='Residuals') > dev.off() null device 1 > postscript(file="/var/wessaorg/rcomp/tmp/7psp41321312419.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > if (par1 > 0) + { + densityplot(~m$residuals,col='black',main=paste('Density Plot bw = ',par1),bw=par1) + } else { + densityplot(~m$residuals,col='black',main='Density Plot') + } > dev.off() null device 1 > postscript(file="/var/wessaorg/rcomp/tmp/81w1p1321312419.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > acf(m$residuals,main='Residual Autocorrelation Function') > dev.off() null device 1 > postscript(file="/var/wessaorg/rcomp/tmp/92r481321312419.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/100t6a1321312419.tab") > > try(system("convert tmp/1o6qe1321312419.ps tmp/1o6qe1321312419.png",intern=TRUE)) character(0) > try(system("convert tmp/259oy1321312419.ps tmp/259oy1321312419.png",intern=TRUE)) character(0) > try(system("convert tmp/39qml1321312419.ps tmp/39qml1321312419.png",intern=TRUE)) character(0) > try(system("convert tmp/4k2nj1321312419.ps tmp/4k2nj1321312419.png",intern=TRUE)) character(0) > try(system("convert tmp/5c4rw1321312419.ps tmp/5c4rw1321312419.png",intern=TRUE)) character(0) > try(system("convert tmp/6h5un1321312419.ps tmp/6h5un1321312419.png",intern=TRUE)) character(0) > try(system("convert tmp/7psp41321312419.ps tmp/7psp41321312419.png",intern=TRUE)) character(0) > try(system("convert tmp/81w1p1321312419.ps tmp/81w1p1321312419.png",intern=TRUE)) character(0) > try(system("convert tmp/92r481321312419.ps tmp/92r481321312419.png",intern=TRUE)) character(0) > > > proc.time() user system elapsed 2.490 0.447 3.000