Let x be a random variable that represents the percentage of successful free throws a professional basketball player makes in a season. Let y be a random variable that represents the percentage of successful field goals a professional basketball player makes in a season. A random sample of n = 6 professional basketball players gave the following information.

x

87

88

70

84

78

76

y

53

57

50

51

46

50

Given that S_e 3.054, a 16.547, b 0.425, and , find the predicted percentage of successful field goals for a player with x = 73% successful free throws.

a. 31.0%

b. 47.6%

c. 28.0%

d. 14.5%

e. 5.1%