Q1 [10 pts] Logistic regression Suppose we collect data for a group of students in a big data science class with variables . X1 = hours studies . X2 = undergrad GPA . Y = receive an A For the data collected, we fit a logistic regression and produce estimated coefficients in the following form logit {P(Y = A) } = -6 + 0.05X1 + X2 (a) [3 pts] Solve for P(Y=A) in terms of Bo + BiXi + B2X2 = -6 + 0.05X1 + X2. (b) [2 pts] Estimate the probability that a student who studies for 40 hours and has an undergrad GPA of 3.5 gets an A in that class. (c) [5 pts] How many hours would the student in part (a) need to study to a 50% chance of getting an A in the class