Professional basketball has truly become a sport that generates ...

     Professional   basketball has truly become a sport that generates interest among fans around   the world. More and more players come from outside the United States to play   in the National Basketball Association (NBA). You want to develop a   regression model to predict the number of wins achieved by each NBA team,   based on field goal (shots made) percentage for the team and for the   opponent.   a. State the multiple regression   equation.   b. Interpret the meaning of the slopes   in this equation.   c. Predict the number of wins for a team   that has a field goal percentage of 45% and an opponent field goal percentage   of 44%.   d. Perform a residual analysis on your   results and determine whether the regression assumptions are valid.   e. Is there a significant relationship   between number of wins and the two independent variables (field goal   percentage for the team and for the opponent) at the 0.05 level of   significance?   f. Determine the p-value in (e) and   interpret its meaning.   g. Interpret the meaning of the   coefficient of multiple determination in this problem.   h. Determine the adjusted r2   i. At the 0.05 level of significance,   determine whether each independent variable makes a significant contribution   to the regression model. Indicate the most appropriate regression model for   this set of data.   j. Determine the p-values in (i) and   interpret their meaning.    

        Team Wins Field Goal% FG% Allowed   Atlanta 44 46.2 46   Boston 56 48.6 43.4   Charlotte 34 45.1 45.5   Chicago 62 46.2 43   Cleveland 19 43.4 47.5   Dallas 57 47.5 45   Denver 50 47.6 45.9   Detroit 30 46 48.6   Golden State 36 46.1 46.7   Houston 43 45.4 46.8   Indiana 37 44.2 44.9   L. A.   Clippers 32 45.7 45.5   L.A. Lakers 57 46.3 43.7   Memphis 46 47.1 45.7   Miami 58 48.1 43.4   Milwaukee 35 43 44.7   Minnesota 17 44.1 46.8   New Jersey 24 44 46.5   New Orleans 46 45.9 45.7   New York 42 45.7 47.2   Oklahoma City 55 46.4 45.8   Orlando 52 46.1 43.6   Philadelphia 41 46.1 45.1   Phoenix 40 47 47.2   Portland 48 44.7 46.7   Sacramento 24 44.9 47.8   San Antonio 61 47.5 45.6   Toronto 22 46.5 48.2   Utah 39 46.5 45.9   Washington 23 44.3 47.1