Question

The accompanying data are the number of wins and the eamed 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= 19 wins
(d) x = 15 wins

Answer 1

To find the equation of the regression line, calculate the slope and y-intercept. Use the regression equation to predict the value of y for different x-values.

Step-by-step explanation:

To find the equation of the regression line, we need to calculate the slope and y-intercept using the given data. Once we have the equation, we can use it to predict the value of y for different x-values.

a. Enter the data into a calculator and make a scatter plot. b. Use the calculator's regression function to find the equation of the least-squares regression line. Add this to your scatter plot from Part A.

For each of the given x-values:

a) x = 5 wins: Plug in 5 to the regression equation to find the predicted value of y.

b) x = 10 wins: Plug in 10 to the regression equation to find the predicted value of y.

c) x = 19 wins: Plug in 19 to the regression equation to find the predicted value of y.

d) x = 15 wins: Plug in 15 to the regression equation to find the predicted value of y.