Professional basketball teams have 11 players per team. Salary is dependent upon their scoring average, measured in points per game. A least-squares regression line that describes the relationship between scoring average and salary for one professional basketball team is y^ = 2,671,134.68 + 684,663.08x, where x is the player’s scoring average and y is the player’s salary. The residuals for this regression are given in the graph below. a) Is a line an appropriate model to use for these data? What information tells you this?
b) What is the value of the slope of the least-squares regression line? Interpret the slope in the context of this problem.
c) What is the predicted salary of the basketball player with 10.9 points per game?
d) Approximate the actual salary of the basketball player with 10.9 points per game.