American football is the highest-paying sport on a per-game basis. Given that the quarter-back is considered the most important player on the team, he is typically well-compensated.

A sports statistician examines the factors that influence a quarterback’s salary (Salary). He believes that a quarterback’s pass completion rate (PC) is the most important variable affecting Salary. The statistician also wonders how total touchdowns scored (TD) and a quarterback’s age (Age) might impact Salary. The statistician collects 2009 data on Salary, PC, TD, and Age. A portion of the data is shown in the accompanying table; the entire data set, labeled Quarterback_Salaries, can be found on the text website.

In a report, use the sample information to:

1. Estimate and interpret the model: Salary = β₀ + β₁PC + β₂TD + β₃Age + .

2. Construct and interpret the 95% confidence interval for the expected salary of a quarterback with average values of PCT, TD, and Age.

3. Construct and interpret the 95% prediction interval for the individual salary of a quarter-back with average values of PCT, TD, and Age.

Transcribed Image Text:

Name Philip Rivers Jay Cutler Salary (in $ millions) 25.5566 22.0441 PC 65.2 60.5 TD 28 27 Age 27 26 Tony Romo 0.6260 63.1 26 29