An economics professor collects survey data from all of his past students and estimates a multivariate model to assess the effects of various factors on the final score in Principles of Microeconomics. His findings are reported below.
Scorei = 29.10 + 0.45FatherEdui + 0.36MotherEdui + 7.82Yeari + 3.13Hoursi
where Scorei is student i's final score, FatherEdui and MotherEdui are his/her father's and mother's completed years of schooling, respectively. Yeari is the student's year in college, and Hoursi is his/her weekly hours spent studying the course materials.
a. Jane is a sophomore student whose father is a college graduate (with 16 years of schooling) and mother is a high school graduate (with 12 years of schooling). Predict the minimum number of hours Jane needs to spend on the course each week to obtain a B (>=80). Keep 2 decimal places.
Number of hours needed=
b. Is it possible for a freshman with totally illiterate parents (i.e., 0 years of schooling) to obtain a passing grade (i.e., >=60) for the class? If so, how many hours should he spend on the course each week at minimum? Keep 2 decimal places.
Number of hours needed=