Question

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) xequals=five wins

​(b) xequals=ten wins

​(c) xequals=21 wins

​(d) xequals=15 wins

the equation of the regression line is y=-0.20x+6.61

Construct a scatter plot of the data and draw the regression line.

​(a) Predict the ERA for

five

​wins, if it is meaningful. Select the correct choice below​ and, if​necessary, fill in the answer box within your choice.

Answer(it is not meaningful to predict this value of y because x=5 is well outside the range of the original data.

​(b) Predict the ERA for ten ​wins, if it is meaningful. Select the correct choice below​ and, if​necessary, fill in the answer box within your choice.

Answer: y=4.63

​(c) Predict the ERA for

twentyone

​wins, if it is meaningful. Select the correct choice below​ and, if​necessary, fill in the answer box within your choice.

A. y=____ round to two decimal places as needed

B. it is not meaningful to predict this value of y because x=21 is well outside the range of the original data

C. it is not meaningful to predict this value of y because x=21 is not an x value in the original data.

​(d) Predict the ERA for fifteen ​wins, if it is meaningful. Select the correct choice below​ and, if​necessary, fill in the answer box within your choice.

A. y=____

B. it is not meaningful to predict this value of y because x=fifteen is not an x-value in the original data.

C. it is not meaningful to predict this value of y because x=15 is inside the range of the original data.

1: Wins and ERA

Wins, x    Earned run average, y

20    2.76

18 3.25

17    2.72

16 3.67

14    3.89

12    4.39

11 3.84

9 5.19

Answer 1