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 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 contained in the file NBAStats show the values of these statistics for the 30 teams in the NBA for the 2011€“2012 seasons (ESPN website, October 3, 2012). A portion of the data follows.

a. Develop an estimated regression equation that can be used to predict the percentage of games won given the percentage of field goals made. At the .05 level of significance, test for a significant relationship.
b. Provide an interpretation for the slope of the estimated regression equation developed in part (a).
c. Develop an estimated regression equation that can be used to predict the percent-age of games won given the percentage of field goals made, the percentage of three-point shots made, the percentage of free throws made, the average number of offensive rebounds per game, and the average number of defensive rebounds per game (RBDef).
d. For the estimated regression equation developed in part (c), remove any independent variables that are not significant at the .05 level of significance and develop a new estimated regression equation using the remaining independent variables.
e. Assuming the estimated regression equation developed in part (d) can be used for the 2012€“2013 season, predict the percentage of games won for a team with the following values for the four independent variables: FG% = 45, 3P% = 35, RBOff = 12, and RBDef =30.

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Team Atlanta Boston Win % 60.6 59.1 FG % 3P% 45.4 46.0 36.7 FT% RBOff 74.0 77.8 9.9 7.7 RBDef 31.3 31.1 37.0 Toronto Utah Washington 33 34.8 54.5 44.0 45.6 44.1 34.0 32.3 32.0 77.0 75.4 72.7 10.6 13.0 11.7 31.4 31.1 29.9