53. FILE Following is information on the price per share and the dividend for a sample of 30 companies. Company Price per Share Dividend 1 $20.00 $3.14 Q 2 22.01 3.36 29 15 77.91 80.00 17.65 17.36 a. Calculate the regression equation that predicts price per share based on the annual dividend. b. Test the significance of the slope. c. Determine the coefficient of determination. Interpret its value. d. Determine the correlation coefficient. Can you conclude that it is greater than 0 using the .05 significance level? e. If the dividend is $10, what is the predicted price per share? f. What is the 95% prediction interval of price per share if the dividend is $10?
53. FILE Following is information on the price per share and the dividend for a sample of 30 companies. Company Price per Share Dividend 1 $20.00 $3.14 Q 2 22.01 3.36 29 15 77.91 80.00 17.65 17.36 a. Calculate the regression equation that predicts price per share based on the annual dividend. b. Test the significance of the slope. c. Determine the coefficient of determination. Interpret its value. d. Determine the correlation coefficient. Can you conclude that it is greater than 0 using the .05 significance level? e. If the dividend is $10, what is the predicted price per share? f. What is the 95% prediction interval of price per share if the dividend is $10?
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
Question
![53. FILE Following is information on the price per share and the dividend for a sample of 30 companies.
Company Price per Share Dividend
1
$20.00
$3.14
Q
2
22.01
3.36
29
15
77.91
80.00
17.65
17.36
a. Calculate the regression equation that predicts price per share based on the annual dividend.
b. Test the significance of the slope.
c. Determine the coefficient of determination. Interpret its value.
d. Determine the correlation coefficient. Can you conclude that it is greater than 0 using the .05 significance level?
e. If the dividend is $10, what is the predicted price per share?
f. What is the 95% prediction interval of price per share if the dividend is $10?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff542401f-67f8-4edb-94dc-5bb094f0d808%2Fdf07d4de-fd3f-4c31-bd0e-7e140c7d6786%2Fxb2avq5m_processed.jpeg&w=3840&q=75)
Transcribed Image Text:53. FILE Following is information on the price per share and the dividend for a sample of 30 companies.
Company Price per Share Dividend
1
$20.00
$3.14
Q
2
22.01
3.36
29
15
77.91
80.00
17.65
17.36
a. Calculate the regression equation that predicts price per share based on the annual dividend.
b. Test the significance of the slope.
c. Determine the coefficient of determination. Interpret its value.
d. Determine the correlation coefficient. Can you conclude that it is greater than 0 using the .05 significance level?
e. If the dividend is $10, what is the predicted price per share?
f. What is the 95% prediction interval of price per share if the dividend is $10?
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.
Step by step
Solved in 2 steps with 6 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
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