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...

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.

t Σx
= 438, Σy
= 276, Σx
²
= 32264, Σy
²
= 12806, Σxy
= 20295, and
r
≈ 0.823.

(g) Find a 90% confidence interval for β. (Round your answers to three decimal places.)