On the first day of class, an economics professor administers a test to gauge the math preparedness of her students. She believes that the performance on this math test and the number of hours studied...

On the first day of class, an economics professor administers a test to gauge the math preparedness of her students. She believes that the performance on this math test and the number of hours studied per week on the course are the primary factors that predict a student’s score on the final exam. She estimates the regression model to predict the final exam score using the math test score and number of hours studied per week. A portion of the regression results is shown in the following table.

(a) Suppose Bella and Ingrid have the same scores on the math test, but Bella studies 2 hours more per week than Ingrid. What is the difference in the final exam scores between the two students?

(b)  Compute the residual for a student whose math score of 65, studies 5 hours per week, and had a final exam score of 74.