et 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 40 48 51 44 51 t Σx = 438, Σy = 276, Σx2 = 32264, Σy2 = 12806, Σxy = 20295, and r ≈ 0.823. (d) Find the predicted percentage of successful field goals for a player with x = 79% successful free throws. (Round your answer to two decimal places.) % (e) Find a 90% confidence interval for y when x = 79. (Round your answers to one decimal place.) lower limit % upper limit % (f) Use a 5% level of significance to test the claim that β > 0. (Round your answers to two decimal places.) t critical t
et 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 | 40 | 48 | 51 | 44 | 51 |
t Σx = 438, Σy = 276, Σx2 = 32264, Σy2 = 12806, Σxy = 20295, and r ≈ 0.823.
(d) Find the predicted percentage of successful field goals for a player with x = 79% successful free throws. (Round your answer to two decimal places.)
%
(e) Find a 90% confidence interval for y when x = 79. (Round your answers to one decimal place.)
| lower limit | % |
| upper limit | % |
(f) Use a 5% level of significance to test the claim that β > 0. (Round your answers to two decimal places.)
| t | |
| critical t |
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