Estimate the probability that a student who studies for 32 hours, has a PSQI score of 12, and a GPA of 3.0 gets an A, Show your Work.

How many hours would the student in part (a) need to study for a 50% chance of getting an A

1. (20%) Suppose we collect data for a group of students in a statistics class with variables: X1 = hours studied, X2 = undergrad GPA, X3 = PSQI score (a sleep quality index), and Y = receive an A. We fit a logistic regression and produce estimated coefficient, Bo =-7, B1 = 0.1, B2 = 1, B3 = -.04. a. Estimate the probability that a student who studies for 32 h, has a PSQI score of 12 and has an undergrad GPA of 3.0 gets an A in the class. Show your work. b. How many hours would the student in part (a) need to study to have a 50 % chance of getting an A in the class? Show your work. c. How many hours would a student with a 3.0 GPA and a PSQI score of 3 need to study to have a 50 % chance of getting an A in the class? Show your work. 1. (20%) Suppose we collect data for a group of students in a statistics class with variables: X1 = hours studied, X2 = undergrad GPA, X3 = PSQI score (a sleep quality index), and Y = receive an A. We fit a logistic regression and produce estimated coefficient, Bo =-7, B1 = 0.1, B2 = 1, B3 = -.04. a. Estimate the probability that a student who studies for 32 h, has a PSQI score of 12 and has an undergrad GPA of 3.0 gets an A in the class. Show your work. b. How many hours would the student in part (a) need to study to have a 50 % chance of getting an A in the class? Show your work. c. How many hours would a student with a 3.0 GPA and a PSQI score of 3 need to study to have a 50 % chance of getting an A in the class? Show your work