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A sports enthusiast wants to examine the factors that influence a quarterback's salary (Salary). In particular, he wants to assess the influence of the pass completion rate (PC), the total touchdowns scored (TD), and a quarterback's age (Age) on Salary. He uses 2009 data, a portion of which is shown in the accompanying table.

a. Estimate and interpret the model: Salary = Î²0 + Î²1 PC + Î²2 TD + Î²3 Age + Îµ. Show that this model is preferable to a model that uses log of salary as the response variable.

b. Consider the quadratic effect of Age by adding Age2 in the regression. Use a partial F test to determine the joint statistical significance of Age and Age2.

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