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=fifteen wins

The equation of the regression line is y=____x+______    (I got -0.19 and 6.50 but that was wrong).

(round to two decimal places if needed)

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.

A. y=___ round to two decimal places if 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 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.

A. y=____ (round to two decimal places if needed)

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

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

(c) Predict the ERA for

twenty one

​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 if 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.

(same options as above)

Wins, x Earned run average, y

20 2.73

18 3.32

17 2.57

16 3.73

14 3.92

12 4.31

11    3.86

9 5.04

Answer 1