The accompanying data are the number of wins and the earned run averages (mean n

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 refression 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

The equation of the regression line is y= ? x+? (Round to two decimal places as needed.)

a. Predict the ERA for 5 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=5 is well outside the range of the original data.

C. It is not meaningful to predict this value of y because x=5 is not an x-value in the orginal data.

(b) Predict the ERA for 10 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=10 is not an x-value in the original data.

C. it is not meaningful to predict this value of y because x=10 is inside the range of the orginal data.

(c) Predict the ERA for 21 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 not x-value in the orginal data.

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

(d) Predict the ERA for 15 wins, if it meaningful. Select the correct choice below and,if necessary,fill in the 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=15 is inside the range of the original data.

C. It is not meaningful to predict this value of y because x=15 is not an x-value in the orginal data.

Wins,x Earned run average,y

20, 2.72

18, 3.34

17, 2.74

16, 3.75

14, 3.95

12, 4.31

11, 3.81

9, 5.11

Explanation / Answer

The equation is Y= -0.19*x+6.47

Part-a

C. It is not meaningful to predict this value of y because x=5 is not an x-value in the orginal data.

Part-b

Y= -0.19*10+6.47 =4.57

Part-C

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

Part-d

Y= -0.19*15+6.47 =3.62

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