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 67 64 75 86 73 73 y 42 39 48 51 44 51 a) Verify that Se ≈ 3.1191, a ≈ 6.564, b ≈ 0.5379, and x ≈ 73.000. Se = a = b = x= b) Find the predicted percentage y hat of successful field goals for a player with x = 71% successful free throws. (Round your answer to two decimal places.) _______ % c) Find a 90% confidence interval for y when x = 71. (Round your answers to one decimal place.) lower limit =_____% upper limit =____%
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 67 64 75 86 73 73
y 42 39 48 51 44 51
a) Verify that Se ≈ 3.1191, a ≈ 6.564, b ≈ 0.5379, and x ≈ 73.000.
Se =
a =
b =
x=
b) Find the predicted percentage y hat of successful field goals for a player with x = 71% successful free throws. (Round your answer to two decimal places.)
_______ %
c) Find a 90% confidence interval for y when x = 71. (Round your answers to one decimal place.)
lower limit =_____%
upper limit =____%
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