## Description

__QUESTION:__

For data on y = college GPA, x_{1} = high school GPA, and x_{2} = average of mathematics and verbal entrance exam score, we get ŷ = 2.70 + 0.45x_{1} for bivariate regression and ŷ = 0.3 + 0.40x_{1} + 0.003x_{2} for multiple regression. For each of the following statements, indicate whether it is true or false. Give a reason for your answer.

a. The correlation between y and x_{1} is positive.

b. A one-unit increase in x_{1 }corresponds to a change of 0.45 in the predicted value of y, controlling for x_{2}.

c. Controlling for x_{1}, a 100-unit increase in x_{2} corresponds to a predicted increase of 0.30 in college GPA.

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