Studying for Exams a Philosophy Professor Has Found a Correlation

Studying for exams A philosophy professor has found a correlation of 0.80 between the
number of hours students study for his exams and their exam performance. During the
time he collected the data, students studied an average of 10 hours with a standard
deviation of 2.5 hours, and scored an average of 80 points with a standard deviation of 7.5
points.
a. Create a linear model to estimate the number of points a student will score on the next
exam from the number of hours the student studies.
b. If a student studies for 15 hours, what score should the student expect on the next exam?
Show your work.