Iccessful field goals a professional basketball player makes in a season. A random sample of n = 6 professional basketball players gave the following information. 67 65 86 73 73 75 42 40 48 51 44 51 (a) Verify that Ex=439, Ey=276, Ex²=32,393, Ey²=12,806, and Exy=20,335. Find r. (Round r to three decimal places.) Ex = Ey = Ex? = Ey² = Exy = r= (c) Find a, b, and x. (Round your answers to four decimal places.) a =
Iccessful field goals a professional basketball player makes in a season. A random sample of n = 6 professional basketball players gave the following information. 67 65 86 73 73 75 42 40 48 51 44 51 (a) Verify that Ex=439, Ey=276, Ex²=32,393, Ey²=12,806, and Exy=20,335. Find r. (Round r to three decimal places.) Ex = Ey = Ex? = Ey² = Exy = r= (c) Find a, b, and x. (Round your answers to four decimal places.) a =
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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2
Transcribed Image Text: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 ofn = 6 professional basketball players gave the following information.
67
65
75
86
73
73
y 42
40
48 51
44
51
(a) Verify that Ex=439, Ey=276, Ex?=32,393, Ey²=12,806, and Exy=20,335. Find r. (Round r to three decimal places.)
Ex =
Ey =
Ex? =
Ey? = |
Exy =
r =|
(c) Find a, b, and x. (Round your answers to four decimal places.)
a =
x =
(d) Find the predicted percentage ý of successful field goals for a player with x = 85% successful free throws. (Round your answer to two decimal places.)
(f) Use a 5% level of significance to test the claim that 8> 0. (Round your answers to two decimal places.) Hint 1: The standard error of b is 0.184455. Hint 2: Your answers to the t and
critical t should have the same sign.
critical t =
Conclusion
O Reject the null hypothesis, there
sufficient evidence that > 0.
O Reject the null hypothesis, there is insufficient evidence that B > 0.
O Fail to reject the null hypothesis, there is insufficient evidence that 6> 0.
O Fail to reject the null hypothesis, there is sufficient evidence that ß > 0
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