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

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Earned run
Wins, x
average, y
20
2.81
18
3.22
17
2.62
16
3.79
14
3.93
12
4.31
11
3.78
9
5.06
Transcribed Image Text:Earned run Wins, x average, y 20 2.81 18 3.22 17 2.62 16 3.79 14 3.93 12 4.31 11 3.78 9 5.06
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
Click the icon to view the table of numbers of wins and earned run average.
(b) x = 10 wins
(c) x = 21 wins
(d) x = 15 wins
ERA
6-
ERA
6-
AERA
6-
ERA
6-
4-
4-
4-
4-
2-
2-
2-
2-
0+
6
0-
0-
0-
12
18 24
6.
12
18 24
12
18 24
6
12
18 24
Wins
Wins
Wins
Wins
(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. ŷ=
(Round to two decimal places as needed.)
B. It is not meaningful to predict this value of y because x=5 is not an x-value in the original data.
C. It is not meaningful to predict this value of y because x = 5 is well outside the range of the original data.
Eco
Transcribed Image Text: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 Click the icon to view the table of numbers of wins and earned run average. (b) x = 10 wins (c) x = 21 wins (d) x = 15 wins ERA 6- ERA 6- AERA 6- ERA 6- 4- 4- 4- 4- 2- 2- 2- 2- 0+ 6 0- 0- 0- 12 18 24 6. 12 18 24 12 18 24 6 12 18 24 Wins Wins Wins Wins (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. ŷ= (Round to two decimal places as needed.) B. It is not meaningful to predict this value of y because x=5 is not an x-value in the original data. C. It is not meaningful to predict this value of y because x = 5 is well outside the range of the original data. Eco
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