The National Basketball Association (NBA) records a variety of statistics for each team. Five of these statistics are the percentage of games won ( Win%),
The National Basketball Association (NBA) records a variety of statistics for each team. Five of these statistics are the percentage of games won ( Win%), the percentage of field goals made (FG%), the percentage of three-point shots made (3P%), the percentage of the free throws made (FT% ), the average number of offensive rebounds per game (RBOff), and the average number of defensive rebounds per game (RBDef). The data given in the table below show the values of these statistics for the 30 teams in the NBA for one full season. Team Win% FG% 3P% FT% RBOff RBDef Atlanta 60.7 45.5 37.0 74.1 10.0 31.4 Boston 59.1 46.0 36.8 77.7 7.8 31.0 Brooklyn 33.3 42.5 34.2 77.7 11.9 28.5 Charlotte 10.6 41.4 29.5 74.6 10.3 28.7 Chicago 75.8 45.2 37.5 72.2 13.9 32.8 Cleveland 31.8 42.2 34.6 71.6 12.7 29.5 Dallas 54.5 44.3 33.9 77.1 10.1 32.7 Denver 57.6 47.6 33.2 73.5 11.2 31.9 Detroit 37.9 43.8 34.6 75.2 11.7 28.5 Golden State 34.8 45.7 38.8 77.0 9.7 29.5 Houston 51.5 44.9 35.9 78.2 11.7 30.5 Indiana 63.6 43.8 36.8 78.2 12.5 31.4 LA Clippers 60.6 45.5 35.7 68.0 12.1 29.4 LA Lakers 62.1 45.7 32.6 75.6 12. 1 34.1 Memphis 62.1 44.7 32.6 75.9 12.6 29.5 Miami 69.7 46.9 35.9 77.5 10.4 31.2 Milwaukee 47.0 44.3 34.5 77.4 12.4 30.0\fc. Develop an estimated regression equation that can be used to predict the percentage of games won given the percentage of field goals made, the percentage of threepoint shots made, the percentage of the free throws made, the average number of offensive rebounds per game, and the average number of defensive rebounds per game (to 4 decimals). = 3+ _' FG% + 3P% + FT% + RBOff + RBDeE d. For the estimated regression equation developed in part (C), remove any independent variables that are not significant at the 0.05 level of significance and develop a new estimated regression equation using the remaining independent variables (to 4 decimals). : | _ Select your answer- V + - Select your answer ' " + - Select your answer - V 'l - Select your answer - v e. Assuming the estimated regression equation developed in part (d) can be used for the 2012 2013 season, predict the percentage of the games won for a team with the following values for the four independent variables: FG% = 45, 3P% 2 35, RBOff = 12, and RBDef: 3D (to 1 decimal). Do not round you intermediate calculations. \".9: '%
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