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...


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

0.3180.2720.3400.2480.3670.269


y

3.48.04.08.63.111.1


 Σx
= 1.814, Σy
= 38.2, Σx
2
= 0.559262, Σy
2
= 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
±



Jun 01, 2022
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