Question

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	89	64	82	82	72	64
y	61	47	56	47	53	48

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Verify that S_e ≈ 4.443, a ≈ 22.133, b ≈ 0.396, and , ∑x = 453, ∑y = 312, ∑x² = 34,745, and ∑y² = 16,388, and find a 98% confidence interval for y when x = 81. Round your final answers to one decimal place.

ANSWERS

between 37.1 and 71.3

between 35.8 and 72.6

between 35.6 and 72.8

between 35.9 and 72.4

between 35.3 and 73.1

Answer 1

The statistical software output for this problem is :

A 98% confidence interval for y when x = 81 is :

between 35.8 and 72.6