a. Suppose you estimate the population regression model using Ordinary Least Squares

b. When you estimate a regression using a sample from some population, a good way of checking the truth of the assumption that E(u|x) = 0 in the population is to see if the sample residuals from the OLS regression are uncorrelated with the dependent variable y. c. If the slope estimate in a simple regression is zero (that is, β1=0), then the average of the dependent variable must be equal to the intercept estimate.

d. The standard error of the slope estimate in a simple regression will be larger if the standard error of the regression is larger, other things equal.

e. If you run a simple regression relating a standardized test score to class size, and the R-squared value is less than .10, the regression is useless.