Let x be a random variable that represents the batting average of a professional baseball player. Let y be a random variable that represents the percentage of strikeouts of a professional baseball player. A random sample of n = 6 professional baseball players gave the following information.x0.3180.2720.3400.2480.3670.269y3.48.04.08.63.111.1 Σx = 1.814, Σy = 38.2, Σx2 = 0.559262, Σy2 = 298.34, Σxy = 10.8736, and r ≈ -0.874. (d) Find the predicted percentage of strikeouts for a player with an x = 0.35 batting average. (Use 2 decimal places.)%(e) Find a 95% confidence interval for y when x = 0.35. (Use 2 decimal places.)lower limit%upper limit%(f) Use a 1% level of significance to test the claim that β ≠ 0. (Use 2 decimal places.)t critical t ±

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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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Let x be a random variable that represents the batting average of a professional baseball player. Let y be a random variable that represents the percentage of strikeouts of a professional baseball player. A random sample of n = 6 professional baseball players gave the following information.

x	0.318	0.272	0.340	0.248	0.367	0.269
y	3.4	8.0	4.0	8.6	3.1	11.1

Σx = 1.814, Σy = 38.2, Σx² = 0.559262, Σy² = 298.34, Σxy = 10.8736, and r ≈ -0.874.

(d) Find the predicted percentage of strikeouts for a player with an x = 0.35 batting average. (Use 2 decimal places.)
%

(e) Find a 95% confidence interval for y when x = 0.35. (Use 2 decimal places.)

lower limit	%
upper limit	%

(f) Use a 1% level of significance to test the claim that β ≠ 0. (Use 2 decimal places.)

t
critical t ±

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