The accompanying data are the number of wins and the earned run averages (mean number of earned runs allowed per nine inningspitched) 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.
(a) x=5 wins (b) x=10wins (c) x=21 wins (d) x=15 wins
The equation of the regression line is y = ? x + ?.
*Table of numbers of wins and earned run average.
"Wins, x","Earned run average, y"
20,2.78
18,3.23
17,2.67
16,3.73
14,3.89
12,4.39
11,3.85
9,5.09