At the Actuarial science mee the firms, a student is waiting in line to talk to a Province Ranch Insurance recruiter. For eachn= 10 students waiting in line ahead of him, he notes the number of Actuarial science exams passed by the students whether or not the student has already had an internship, and the time the students spends talking to the recruiter.

Let y = time (in minutes) x1 = number of exams passes x2 = internship(0 = no, 1 = yes) Consider the model Y=Bo+l31x1+52xz+ 20/: 2 = 5.020n37 2 = 13.5 a) Obtain the least-squares estimates 30, 31, and 32 (Hint: use the equation from Note: multiple regression analysis, Page3). (12 points) b) What proportion of the observed variation in the time spent talking to the recruiter has been explained by the linear relationship with the number of exams passed and whether or not a student has had an internship? (5 points) c) Perform the significance of the overall regression test at a 5% level of signicance. Specify the null and the alternative hypotheses. Report the value of the test statistic, the critical value(s), and the decision. (5 points)