Question

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	0.324	0.288	0.340	0.248	0.367	0.269
y	2.6	7.8	4.0	8.6	3.1	11.1

(a) Verify that Σx = 1.836, Σy = 37.2, Σx² = 0.572074, Σy² = 290.38, Σxy = 10.7052, and r ≈ -0.866.

(b) Use a 10% level of significance to test the claim that ρ ≠ 0. (Use 2 decimal places.)

t
critical t

(d) Find the predicted percentage of strikeouts for a player with an x = 0.31 batting average. (Use 2 decimal places.)
13 %

(e) Find a 90% confidence interval for y when x = 0.31. (Use 2 decimal places.)

lower limit	%
upper limit	%

(f) Use a 10% level of significance to test the claim that β ≠ 0. (Use 2 decimal places.)

t
critical t

(g) Find a 90% confidence interval for β and interpret its meaning. (Use 2 decimal places.)

lower limit
upper limit

Answer 1

Since it was not mentioned which all parts had to be solved, this answer provides solution to the four parts.

hope this helps