In: Statistics and Probability
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.
(a) x=5 wins
(b) x=10 wins
(c) x=21 wins
(d) x=15 wins
Wins, x= 20 18 17 16 14 12 11 9
Earned run average, y= 2.74 3.31 2.65 3.64 3.94 4.34 3.88 5.16
1. Find the regression equation.
It is not meaningful to predict this value of y because x= 21 is not an x-value in the original data