Chapter 14, Problem 73PS

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 and three-point goal percentage for a recent season. The data stored in NBA.

a. State the multiple regression equation.

b. Interpret the meaning of the slopes in this equation.

c. Predict the mean number of wins for a team that has a fields goal percentage of $45\%$ and a three-point field percentage of $35\%.$

d. Perform a analysis on your model and determine whether the regression assumptions are valid.

e. Is there a significant relationship between the number of wings and two independent variables (field goal percentage and three-point field goal percentage) at the 0.05 level of significance?

f. Determine the p-value in (e) and interpret is meaning.

g. Interpret the meaning of the coefficient of multiple determination in this problem.

h. Determine the adjusted $r^2.$

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-value in (i) and interpret their meaning.

k. Compute and interpret the coefficients of partial determination.

l. What conclusions can you reach concerning field goal percentage and three-point goal percentage in predicting the number of wins?