For any basketball player, the number of points scored per game and the number of personal fouls committed are of interest. Data taken for a team last season resulted in the equation yˆ =1.122 +3.394x where x is the number of personal fouls committed per game and y is the number of points scored per game.
a. If one of the players committed two fouls in a game, how many points would he or she be expected to have made?
b. What is the average number of points a player might expect if he or she commits three fouls in a game?