Question: A basketball coach is attempting to evaluate the impact of an expensive player on the team's won/loss record. He considers the following table, which gives number of games per season in which the player has seen at least twenty five minutes of floor time, together with wins over the season.
(a) Show that there is a significant linear correlation between games in which the player participated, and team wins.
(b) Write the equation of the regression line.
(c) Estimate the percentage of wins (in games the player played in) that are explained by this player's floor presence.
(d) Predict with a 95% confidence level how many games the team will win next season if this player is in 85 games. Write the prediction interval for this estimate.