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

70.2K

Verified Solution

Question

Basic Math

The accompanying data are the number of wins and the earned runaverages (mean number of earned runs allowed per nine inningspitched) for eight baseball pitchers in a recent season. Find theequation of the regression line. Then construct a scatter plot ofthe data and draw the regression line. Then use the regressionequation to predict the value of y for each of the given x-values.If meaningful. If the x-value is not meaningful to predict thevalue of y, explain why not. (a) x=5 wins (b) x=10 wins (c) x=21wins (d) x=15 wins

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

a. Predict the ERA for 5 wins, if it is meaningful.Select thecorrect choice below and ,if necessary, fill in the answer boxwithin your choice.

A. ^y= ? (Round to two decimal places as needed.)

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

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

(b) Predict the ERA for 10 wins, if it is meaningful.Select thecorrect choice below and, if necessary, fill in the answer boxwithin your choice.

A. y^= ? (Round to two decimal places as needed.)

B. it is not meaningful to predict this value of y because x=10is not an x-value in the original data.

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

(c) Predict the ERA for 21 wins, if it is meaningful. Select thecorrect choice below and, if necessary, fill in the answer boxwithin your

choice.

A. y^= ? (Round to two decimal places as needed.)

B. It is not meaningful to predict this value of y because x=21is not x-value in the original data.

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

(d) Predict the ERA for 15 wins, if it meaningful. Select thecorrect choice below and,if necessary,fill in the box within yourchoice.

A. y^= ? (Round to two decimal places as needed.)

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

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

Wins, x Earned run average, y

20, 2.82

18, 3.24

17, 2.56

16, 3.65

14, 3.79

12, 4.34

11, 3.78

9, 5.07

Answer & Explanation Solved by verified expert
4.2 Ratings (635 Votes)
The regression line that we want to estimate iswhere is theintercept is the slope ofthe regression line and is a random errorWe calculate the followingThe sum of squares areAn estimate of the slope isan estimate of the intercept isans the equation of the regression line isconstruct a scatter plot of the data and draw the regressionlineFirst we get the predicted value of y    See Answer
Get Answers to Unlimited Questions

Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!

Membership Benefits:
  • Unlimited Question Access with detailed Answers
  • Zin AI - 3 Million Words
  • 10 Dall-E 3 Images
  • 20 Plot Generations
  • Conversation with Dialogue Memory
  • No Ads, Ever!
  • Access to Our Best AI Platform: Flex AI - Your personal assistant for all your inquiries!
Become a Member

Other questions asked by students