et 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.x676475867373y424048514451t Σx = 438, Σy = 276, Σx2 = 32264, Σy2 = 12806, Σxy = 20295, and r ≈ 0.823.(d) Find the predicted percentage of successful field goals for a player with x = 79% successful free throws. (Round your answer to two decimal places.) % (e) Find a 90% confidence interval for y when x = 79. (Round your answers to one decimal place.)lower limit%upper limit%(f) Use a 5% level of significance to test the claim that β > 0. (Round your answers to two decimal places.)t critical t

(d) The slope of the regression line is, Thus, the slope of the regression line is 0.5069.…

Answered: et x be a random variable that…

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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et 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	40	48	51	44	51

t Σx = 438, Σy = 276, Σx² = 32264, Σy² = 12806, Σxy = 20295, and r ≈ 0.823.

(d) Find the predicted percentage of successful field goals for a player with x = 79% successful free throws. (Round your answer to two decimal places.)
%

(e) Find a 90% confidence interval for y when x = 79. (Round your answers to one decimal place.)

lower limit	%
upper limit	%

(f) Use a 5% level of significance to test the claim that β > 0. (Round your answers to two decimal places.)

t
critical t

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