Dependent Variable: Explanatory Variables: Share of Women Graduates Rank 11-20 Rank 21-30 Rank 31+ Faculty Share Women Average Cohort Size Medium City Large City Constant Number of Observations 88 R2 0.243 Notes: the standard errors for each coefficient are in parentheses below the coefficient. A. Which of the estimated coefficients are statistically different from zero (ceteris paribus) at the 10-percent level of signicance and the 5-percent level of significance? Show your work and explain. B. Precisely interpret what the constant or intercept coefficient implies in this particular regression. Explain it in a way so that someone not familiar with multiple regression would understand it. C. What is the predicted share of women graduates for a program in a large city, with 40 percent of the faculty women, and with an average class size of 20 students that is ranked outside of the top 30 programs? D. What is the predicted share of women graduates for a program located outside of a large or medium city, with 10 percent of the faculty women, and with an average class size of 30 students that is ranked in the top 10 of programs nationwide? E. Can you reject the null hypothesis at all of the coefficients (except the constant) are jointly equal to zero at the 1-percent level of significance? Show your work and explain