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Part 2 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 0.338 0.306 0.340 0.248 0.367 0.269 y 3.5 7.7 4.0 8.6 3.1 11.1  Σx = 1.868, Σy = 38, Σx2 = 0.592034, Σy2 = 294.32, Σxy = 11.1556, and r ≈ -0.901. Se ≈ 1.5890, a ≈ 26.420, and b ≈ -64.517. (a) Find the predicted percentage  of strikeouts for a player with an x = 0.328 batting average. (Use 2 decimal places.)  % (b) Find a 90% confidence interval for y when x = 0.328. (Use 2 decimal places.) lower limit  % upper limit  %

Part 2 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 0.338 0.306 0.340 0.248 0.367 0.269 y 3.5 7.7 4.0 8.6 3.1 11.1  Σx = 1.868, Σy = 38, Σx2 = 0.592034, Σy2 = 294.32, Σxy = 11.1556, and r ≈ -0.901. Se ≈ 1.5890, a ≈ 26.420, and b ≈ -64.517. (a) Find the predicted percentage  of strikeouts for a player with an x = 0.328 batting average. (Use 2 decimal places.)  % (b) Find a 90% confidence interval for y when x = 0.328. (Use 2 decimal places.) lower limit  % upper limit  %

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Part 2

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 0.338 0.306 0.340 0.248 0.367 0.269
y 3.5 7.7 4.0 8.6 3.1 11.1
 Σx = 1.868, Σy = 38, Σx2 = 0.592034, Σy2 = 294.32, Σxy = 11.1556, and r ≈ -0.901.

Se ≈ 1.5890, a ≈ 26.420, and b ≈ -64.517.

(a) Find the predicted percentage  of strikeouts for a player with an x = 0.328 batting average. (Use 2 decimal places.)
 %

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

lower limit  %
upper limit  %

 

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