The National Basketball Association (NBA) records a variety of statistics for each team. Four of these statistics are the proportion of games won (PCT), the proportion of field goals made by the team (FG%), the proportion of three-point shots made by the team’s opponent (Opp 3 Pt%), and the number of turnovers committed by the team’s opponent (Opp TO). The following data show the values of these statistics for the 29 teams in the NBA for a portion of the 2004 season (NBA website, January 3, 2004).
a. Determine the estimated regression equation that can be used to predict the proportion of games won given the proportion of field goals made by the team.
b. Provide an interpretation for the slope of the estimated regression equation developed in part (a).
c. Determine the estimated regression equation that can be used to predict the proportion of games won given the proportion of field goals made by the team, the proportion of three-point shots made by the team’s opponent, and the number of turnovers committed by the team’s opponent.
d. Discuss the practical implications of the estimated regression equation developed in part (c).
e. Predict the proportion of games won for a team with the following values for the three independent variables: FG% = .45, Opp 3 Pt% = .34, and Opp TO = 17.
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