50,000 1. 45,000 - 40,000- 35,000- 30,000 25,000 - 20,000- 15,000 - 60 70 80 90 100 Number of Wins Term Coef SE Coef T-Value PValue Constant 10834 9716 1.12 0.274 Wins 235 119 1.98 0.058 S-7,377 R- sq - 12.29% Adj R- sq - 9.16% The scatterplot above shows the number of wins and the attendance per game for 30 baseball teams in 2017. Also shown are the least-squares regression line and computer output. a) Using the information above, what is the equation of the least-squares regression line? b) What is the value of the correlation coefficient for the sample? c) Interpret the slope of the least-squares regression line in context. d) Explain why it is not reasonable to use the least-squares regression model to predict attendance per game for 0 wins. e) If the point representing 64 wins and attendance of 40,786 people per game is removed from the set of data and a new regression analysis is conducted, how would the slope of the least-squares line be affected? Explain your reasoning. Attendance per Game
50,000 1. 45,000 - 40,000- 35,000- 30,000 25,000 - 20,000- 15,000 - 60 70 80 90 100 Number of Wins Term Coef SE Coef T-Value PValue Constant 10834 9716 1.12 0.274 Wins 235 119 1.98 0.058 S-7,377 R- sq - 12.29% Adj R- sq - 9.16% The scatterplot above shows the number of wins and the attendance per game for 30 baseball teams in 2017. Also shown are the least-squares regression line and computer output. a) Using the information above, what is the equation of the least-squares regression line? b) What is the value of the correlation coefficient for the sample? c) Interpret the slope of the least-squares regression line in context. d) Explain why it is not reasonable to use the least-squares regression model to predict attendance per game for 0 wins. e) If the point representing 64 wins and attendance of 40,786 people per game is removed from the set of data and a new regression analysis is conducted, how would the slope of the least-squares line be affected? Explain your reasoning. Attendance per Game
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Topic Video
Question
Numbers d and e only
![The image consists of a scatterplot and a table displaying statistical data for 30 baseball teams in 2017. The number of wins (horizontal axis) is compared against attendance per game (vertical axis). A least-squares regression line is depicted, showing a positive correlation.
**Scatterplot:**
- **Y-Axis:** Attendance per Game (from 15,000 to 50,000).
- **X-Axis:** Number of Wins (from 60 to 110).
- The line represents the least-squares regression.
**Table:**
- Provides coefficients, standard errors, T-Values, and P-Values for the regression model.
- **Term:** Constant (Coefficients: 10834, SE Coef: 9716, T-Value: 1.12, P-Value: 0.274) and Wins (Coefficients: 235, SE Coef: 119, T-Value: 1.98, P-Value: 0.058).
- **Summary Statistics:** \( S = 7,377 \), \( R^2 = 12.29\% \), \( \text{Adj } R^2 = 9.16\% \).
**Questions:**
a) Using the information above, what is the equation of the least-squares regression line?
b) What is the value of the correlation coefficient for the sample?
c) Interpret the slope of the least-squares regression line in context.
d) Explain why it is not reasonable to use the least-squares regression model to predict attendance per game for 0 wins.
e) If the point representing 64 wins and an attendance of 40,786 people per game is removed from the set of data and a new regression analysis is conducted, how would the slope of the least-squares line be affected? Explain your reasoning.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0d5a9cae-3c86-4153-9ed8-d2e45fd1e238%2F24c3e909-f461-4d77-9b02-f554e14fc864%2Fgra3syf_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The image consists of a scatterplot and a table displaying statistical data for 30 baseball teams in 2017. The number of wins (horizontal axis) is compared against attendance per game (vertical axis). A least-squares regression line is depicted, showing a positive correlation.
**Scatterplot:**
- **Y-Axis:** Attendance per Game (from 15,000 to 50,000).
- **X-Axis:** Number of Wins (from 60 to 110).
- The line represents the least-squares regression.
**Table:**
- Provides coefficients, standard errors, T-Values, and P-Values for the regression model.
- **Term:** Constant (Coefficients: 10834, SE Coef: 9716, T-Value: 1.12, P-Value: 0.274) and Wins (Coefficients: 235, SE Coef: 119, T-Value: 1.98, P-Value: 0.058).
- **Summary Statistics:** \( S = 7,377 \), \( R^2 = 12.29\% \), \( \text{Adj } R^2 = 9.16\% \).
**Questions:**
a) Using the information above, what is the equation of the least-squares regression line?
b) What is the value of the correlation coefficient for the sample?
c) Interpret the slope of the least-squares regression line in context.
d) Explain why it is not reasonable to use the least-squares regression model to predict attendance per game for 0 wins.
e) If the point representing 64 wins and an attendance of 40,786 people per game is removed from the set of data and a new regression analysis is conducted, how would the slope of the least-squares line be affected? Explain your reasoning.
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.Recommended textbooks for you
![MATLAB: An Introduction with Applications](https://www.bartleby.com/isbn_cover_images/9781119256830/9781119256830_smallCoverImage.gif)
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
![Probability and Statistics for Engineering and th…](https://www.bartleby.com/isbn_cover_images/9781305251809/9781305251809_smallCoverImage.gif)
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
![Statistics for The Behavioral Sciences (MindTap C…](https://www.bartleby.com/isbn_cover_images/9781305504912/9781305504912_smallCoverImage.gif)
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
![MATLAB: An Introduction with Applications](https://www.bartleby.com/isbn_cover_images/9781119256830/9781119256830_smallCoverImage.gif)
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
![Probability and Statistics for Engineering and th…](https://www.bartleby.com/isbn_cover_images/9781305251809/9781305251809_smallCoverImage.gif)
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
![Statistics for The Behavioral Sciences (MindTap C…](https://www.bartleby.com/isbn_cover_images/9781305504912/9781305504912_smallCoverImage.gif)
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
![Elementary Statistics: Picturing the World (7th E…](https://www.bartleby.com/isbn_cover_images/9780134683416/9780134683416_smallCoverImage.gif)
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
![The Basic Practice of Statistics](https://www.bartleby.com/isbn_cover_images/9781319042578/9781319042578_smallCoverImage.gif)
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
![Introduction to the Practice of Statistics](https://www.bartleby.com/isbn_cover_images/9781319013387/9781319013387_smallCoverImage.gif)
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman