True/False? Explain
(a) If we reject the null hypothesis for the overall significance F-test, this is evidence that all the slope coefficients are non-zero.
(b) Suppose we run a regression of 4th grade math test scores on a female dummy variable, and a dummy variable indicating boys with
behavioral problems, and another one indicating boys without behavioral problems. The coefficient for the female variable will be the
difference between expected difference of test scores between boys and girls.