Let x be a random variable that represents the percentageof successful free throws a professional basketball player makes ina season. Let y be a random variable that represents thepercentage of successful field goals a professional basketballplayer makes in a season. A random sample of n = 6professional basketball players gave the following information.
| x | 67 | 65 | 75 | 86 | 73 | 73 |
| y | 42 | 40 | 48 | 51 | 44 | 51 |
(c) Verify that Se ≈ 3.0468, a ≈8.188, b ≈ 0.5168, and x ≈ 73.167.
(e) Find a 90% confidence interval for y whenx = 83. (Round your answers to one decimal place.)
(f) Use a 5% level of significance to test the claim thatβ > 0. (Round your answers to two decimal places.)
