The accompanying data are the number of wins and the earned run averages (mean number of earned runs allowed per nine innings pitched) for eight baseball pitchers in a recent season. Find the equation of the regression line. Then construct a scatter plot of the data and draw the regression line. Then use the regression equation to predict the value of y for each of the given x-values, if meaningful. If the x-value is not meaningful to predict the value of y, explain why not. Wins, x 20 18 17 16 14 12 11 9 Earned run average, y 2.83 3.34 2.61 3.79 3.94 4.37 3.76 5.15 The equation of the regression line is ŷ = x + (Round the slope to three decimal places as needed. Round the y-intercept to two decimal places as needed.) (a) x = 5 wins, (b) x = 10 wins, (c) x = 19 wins, (d) x = 15 wins Use the regression equation to predict the value of y for each of the above x-values, if meaningful. If the x-value is not meaningful to predict the value of y, explain why not. (a) Substitute x = 5 into the regression equation and simplify. (b) Substitute x = 10 into the regression equation and simplify. (c) Substitute x = 19 into the regression equation and simplify. (d) Substitute x = 15 into the regression equation and simplify.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter3: Straight Lines And Linear Functions

Section3.CR: Chapter Review Exercises

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The accompanying data are the number of wins and the earned run averages (mean number of earned runs allowed per nine innings pitched) for eight baseball pitchers in a recent season. Find the equation of the regression line. Then construct a scatter plot of the data and draw the regression line. Then use the regression equation to predict the value of y for each of the given x-values, if meaningful. If the x-value is not meaningful to predict the value of y, explain why not.

Wins, x

Earned run average, y

2.83

3.34

2.61

3.79

3.94

4.37

3.76

5.15

The equation of the regression line is ŷ = ______ x + ______

(Round the slope to three decimal places as needed. Round the y-intercept to two decimal places as needed.)

(a) x = 5 wins, (b) x = 10 wins, (c) x = 19 wins, (d) x = 15 wins

Use the regression equation to predict the value of y for each of the above x-values, if meaningful. If the x-value is not meaningful to predict the value of y, explain why not.

(a) Substitute x = 5 into the regression equation and simplify.

(b) Substitute x = 10 into the regression equation and simplify.

(d) Substitute x = 15 into the regression equation and simplify.

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