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.
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
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.
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