The following estimated regression equation based on 10 observations was presented. ŷ = 29.1270 + 0.7906x1 + 0.3980x2 (a) Develop a point estimate of the mean value of y when x1 = 190 and x2 = 350. (b) Develop a point estimate for an individual value of y when x1 = 190 and x2 = 350.
The following estimated regression equation based on 10 observations was presented. ŷ = 29.1270 + 0.7906x1 + 0.3980x2 (a) Develop a point estimate of the mean value of y when x1 = 190 and x2 = 350. (b) Develop a point estimate for an individual value of y when x1 = 190 and x2 = 350.
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
The following estimated regression equation based on 10 observations was presented.
ŷ = 29.1270 + 0.7906x1 + 0.3980x2
(a)
Develop a point estimate of the mean value of y when
x1 = 190 and x2 = 350.
(b)
Develop a point estimate for an individual value of y when
x1 = 190 and x2 = 350.
(2)
The admissions officer for a certain college developed the following estimated regression equation relating the final college GPA to the student's SAT mathematics score and high school GPA.
ŷ = −1.38 + 0.0234x1 + 0.00482x2
where
x1 | = | high-school grade point average |
x2 | = | SAT mathematics score |
y | = | final college grade point average. |
(a)
Interpret the coefficients in this estimated regression equation.
(b)
Predict the final college GPA for a student who has a high-school average of 83 and a score of 530 on the SAT mathematics test.
![A statistical program is recommended.
Data contained in the DATAfile named PGADriving Dist was used to develop an estimated regression equation to predict the average number of yards per drive given the ball speed and the launch
angle.t
(a) Does the estimated regression equation provide a good fit to the data? Explain. (Round your answers to four decimal places.)
Since R²
are ---Select---
the estimated regression equation |---Select---
=
2
and Ra
=
a good fit.
(b) An estimated regression equation was developed using only ball speed to predict the average number of yards per drive. Compare the fit obtained using just ball speed to the fit obtained using
ball speed and the launch angle. (Round your answers to two decimal places.)
The value of R² indicates that using just ball speed can account for
% of the variability in total distance. The addition of launch angle ---Select--- the percentage to
Therefore, the estimated regression equation using both ball speed and launch angle |---Select--- provide better predictions.
%](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Faf16692e-e243-4c93-bc40-75265cd6fcda%2F13eba628-73f1-4163-bfde-0f5953a84b76%2Fd7b736_processed.png&w=3840&q=75)
Transcribed Image Text:A statistical program is recommended.
Data contained in the DATAfile named PGADriving Dist was used to develop an estimated regression equation to predict the average number of yards per drive given the ball speed and the launch
angle.t
(a) Does the estimated regression equation provide a good fit to the data? Explain. (Round your answers to four decimal places.)
Since R²
are ---Select---
the estimated regression equation |---Select---
=
2
and Ra
=
a good fit.
(b) An estimated regression equation was developed using only ball speed to predict the average number of yards per drive. Compare the fit obtained using just ball speed to the fit obtained using
ball speed and the launch angle. (Round your answers to two decimal places.)
The value of R² indicates that using just ball speed can account for
% of the variability in total distance. The addition of launch angle ---Select--- the percentage to
Therefore, the estimated regression equation using both ball speed and launch angle |---Select--- provide better predictions.
%
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 4 steps with 11 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