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 44 41 48 51 44 51 (a) Verify that Σx = 438, Σy = 279, Σx2 = 32264, Σy2 = 13059, Σxy = 20493, and r ≈ 0.800. Σx =__ Σy =__ Σx2 =__ Σy2 =__ Σxy =__ r =__ (b) Use a 5% level of significance to test the claim that ? > 0. (Round your answers to two decimal places.) t =__ critical t=__ (c) Verify that Se ≈ 2.7729, a ≈ 14.783, b ≈ 0.4345, and x ≈ 73.000. Se =__ a =__ b =__ x =__
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 | 44 | 41 | 48 | 51 | 44 | 51 |
| Σx | =__ |
| Σy | =__ |
| Σx2 | =__ |
| Σy2 | =__ |
| Σxy | =__ |
| r | =__ |
(b) Use a 5% level of significance to test the claim that ? > 0. (Round your answers to two decimal places.)
| t | =__ |
| critical t=__ |
(c) Verify that Se ≈ 2.7729, a ≈ 14.783, b ≈ 0.4345, and x ≈ 73.000.
| Se | =__ |
| a | =__ |
| b | =__ |
| x | =__ |
(d) Find the predicted percentage of successful field goals for a player with x = 71% successful free throws. (Round your answer to two decimal places.)
__ %
(e) Find a 90% confidence interval for y when x = 71. (Round your answers to one decimal place.)
| lower limit | __% |
| upper limit | __% |
(f) Use a 5% level of significance to test the claim that ? > 0. (Round your answers to two decimal places.)
| t=__ | |
| critical t=__ |
(g) Find a 90% confidence interval for ?. (Round your answers to three decimal places.)
| lower limit | =__ |
| upper limit=__ |
Trending now
This is a popular solution!
Step by step
Solved in 4 steps
