Question

1.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

64

64

88

66

64

72

y

38

45

50

45

45

41

Given that ∑x = 418, ∑y = 264, ∑x2 = 29,572, ∑y2 = 11,700, ∑xy = 18,514, and r = 0.627, find the critical value for a test using a 2.5% level of significance claiming that ρ is greater than zero.

Select one:

a. 6.869

b. 4.604

c. 0.741

d. 0.727

e. 2.776

2.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

63

79

70

80

84

87

y

46

49

45

55

57

58

Find Se.

Select one:

a. 2.302

b. 2.819

c. 1.994

d. 2.522

e. 2.131

3.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 Se ≈ 3.054, a ≈ 16.547, b ≈ 0.425, and x bar ≈ 80.5 , find the predicted percentage y^  of successful field goals for a player with x = 73% successful free throws.

Select one:

a. 5.1%

b. 31.0%

c. 14.5%

d. 28.0%

e. 47.6%

Answer 1

1)

critical value for 0.025 level and (n-2=4) degree of freedom =2.776   option E is correct

2)

option B is correct

3)

predicted percentage y^   =16.547+0.425*73=47.6 %

option E