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 0.326 0.284 0.340 0.248 0.367 0.269

y 3.0 7.8 4.0 8.6 3.1 11.1

(A) Verify that Σx = 1.834, Σy = 37.6, Σx2 = 0.571086, Σy2 = 292.62, Σxy = 10.8096, and r ≈ -0.884.

(B) Find a 90% confidence interval for y when x = 0.328. (Use 2 decimal places.)

lower limit

upper limit

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

t=

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

lower limit

upper limit

Answer 1