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.x0.3260.3020.3400.2480.3670.269y2.87.94.08.63.111.1(a) Verify that Σx = 1.852, Σy = 37.5, Σx2 = 0.581634, Σy2 = 293.03, Σxy = 10.915, and r ≈ -0.862.Σx Σy Σx2 Σy2 Σxy r (b) Use a 1% level of significance to test the claim that ρ ≠ 0. (Use 2 decimal places.)t critical t ± (c) Verify that Se ≈ 1.9379, a ≈ 26.656, and b ≈ -66.110.Se a b

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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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	0.326	0.302	0.340	0.248	0.367	0.269
y	2.8	7.9	4.0	8.6	3.1	11.1

(a) Verify that Σx = 1.852, Σy = 37.5, Σx² = 0.581634, Σy² = 293.03, Σxy = 10.915, and r ≈ -0.862.

Σx
Σy
Σx²
Σy²
Σxy
r

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

t
critical t ±

S_e
a
b

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