data(cars) carfit <- lm(dist ~ speed, data=cars) summary(carfit) plot(speed ~ dist, data=cars) abline(carfit) vcov <- summary(carfit)$sigma^2 * summary(carfit)$cov.unscaled carfitunres <- lm(dist ~ speed + I(speed^2), data=cars) carfitres <- lm(dist ~ speed, data=cars) anova(carfitres,carfitunres) library(lmtest) bptest(carfit) dwtest(carfit) carpred <- predict(carfit,se.fit=TRUE,interval="prediction") carpred$fit[1,]