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 Σx = 438, Σy = 275, Σx2 = 32264, Σy2 = 12727, Σxy = 20231, and r ≈ 0.827. 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=

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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 Σx = 438, Σy = 275, Σx2 = 32264, Σy2 = 12727, Σxy = 20231, and r ≈ 0.827.
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=

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