Question

We study the relation between students' GPA and the number of hours per week spent studying. To this end, we consider the following regression model, GPA = β 0 + β 1 hours+u where GPA is the variable measuring students' GPA, hours is the variable measuring the number of hours studying, and u is the error term. We found the following OLS estimates: β ^ 0 = 2.67 β ^ 1 = 0.601 What is the predicted GPA of a student with a number of hours per week spent studying is 19? (Give your answer up to two decimals.)

Answer 1

The given regression equation is

In the above equation we inserted X to mention the study hours and the y is the GPA of the student is the dependent variable and hours is the independent variable.The predicted GPA of the student who spent 19 hours per week in studing is given by

the predicted GPA of the student is obtained by inserting 19 in place of X.

The answer is 14.089