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MCS,PHD
Argosy University/ Phoniex University/
Nov-2005 - Oct-2011
Professor
Phoniex University
Oct-2001 - Nov-2016
Basketball: Free Throws and Field Goals 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 |
65 |
75 |
86 |
73 |
73 |
|
y |
44 |
42 |
48 |
51 |
44 |
51 |
(a) Verify that Σx = 439, Σy = 280, Σx2= 32,393, Σy2= 13,142, Σxy = 20,599, and r ≈ 0.784.
(b) Use a 5% level of significance to test the claim that r > 0.
(c) Verify thatSe≈ 2.6964, a ≈ 16.542, b ≈ 0.4117, andÂ
≈ 73.167.
(d) Find the predicted percentage of successful field goals for a player with x = 70% successful free throws.
(e) Find a 90% confidence interval for y when x = 70.
(f) Use a 5% level of significance to test the claim that β > 0.
(g) Find a 90% confidence interval for β and interpret its meaning.
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