The following estimated regression equation is based on 30 observations. 18.5+4x12.5x2 +7.6x3 +2.7x4 ŷ The values of SST and SSR are 1,804 and 1,761, respectively. a. Compute R2 (to 3 decimals). b. Compute R (to 3 decimals). c. Comment on the goodness of fit. The estimated regression equation provided an excellent fit

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
100%
**Exercise 15.13 Algo (Multiple Coefficient of Determination)**

The following estimated regression equation is based on 30 observations:

\[ \hat{y} = 18.5 + 4x_1 - 2.5x_2 + 7.6x_3 + 2.7x_4 \]

The values of SST and SSR are 1,804 and 1,761, respectively.

a. **Compute \( R^2 \)** (to 3 decimals).

b. **Compute \( R^2_a \)** (to 3 decimals).

c. **Comment on the goodness of fit.**

The estimated regression equation provided an excellent fit.

**Details on Graphs/Diagrams:**

There are no graphs or diagrams provided in this exercise.
Transcribed Image Text:**Exercise 15.13 Algo (Multiple Coefficient of Determination)** The following estimated regression equation is based on 30 observations: \[ \hat{y} = 18.5 + 4x_1 - 2.5x_2 + 7.6x_3 + 2.7x_4 \] The values of SST and SSR are 1,804 and 1,761, respectively. a. **Compute \( R^2 \)** (to 3 decimals). b. **Compute \( R^2_a \)** (to 3 decimals). c. **Comment on the goodness of fit.** The estimated regression equation provided an excellent fit. **Details on Graphs/Diagrams:** There are no graphs or diagrams provided in this exercise.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
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…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
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
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman