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Let x be a random variable that represents the percentage of successful free throws a professional...

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 57 36 34 59 39 46 y 44 27 34 36 39 40 ​ Verify that Se ≈ 5.306, a ≈ 22.283, b ≈ 0.318, and , ∑x = 271, ∑y = 220, ∑x2 = 12,819, and ∑y2 = 8,238, and find a 80% confidence interval for y around 37.865 when x = 49. Round your final answers to one decimal place.

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