In: Math
American football is the highest paying sport on a per-game basis. The quarterback, considered the most important player on the team, is appropriately compensated. A sports statistician wants to use 2009 data to estimate a multiple linear regression model that links the quarterback’s salary (in $ millions) with his pass completion percentage (PCT), total touchdowns scored (TD), and his age. A portion of the data is shown in the accompanying table. Name Salary PCT TD Age Philip Rivers 25.5566 65.2 28 27 Jay Cutler 22.0441 60.5 27 26 ⋮ ⋮ ⋮ ⋮ ⋮ Tony Romo 0.6260 63.1 26 29
c. Drew Brees earned 12.9895 million dollars in 2009. What is his predicted salary if PCT = 70.6, TD = 34, and Age = 30? (Round coefficient estimates to at least 4 decimal places and final answer to 2 decimal places.) Salaryˆ
d. Tom Brady earned 8.0073 million dollars in 2009. According to the model, what is his predicted salary if PCT = 65.7, TD = 28, and Age = 32? (Round coefficient estimates to at least 4 decimal places and final answer to 2 decimal places.) Salaryˆ e-1. Compute the residual salary for Drew Brees and Tom Brady. (Negative values should be indicated by a minus sign. Round coefficient estimates to at least 4 decimal places and final answer to 2 decimal places.)