A magazine used the summated rating of 10 restaurants to predict the cost of a restaurant meal. For that data, SSR = 133,295.11 and SST = 140,966.67. Comple parts (a) through (c). a. Determine the coefficient of determination, r2, and interpret its meaning. 20.9456 (Round to four decimal places as needed.) Interpret the meaning of r². It means that 94.56 % of the variation in the cost of a meal (Round to two decimal places as needed.) b. Determine the standard error of the estimate. Syx = (Round to four decimal places as needed.) can be explained by the variation in summated ratings.
A magazine used the summated rating of 10 restaurants to predict the cost of a restaurant meal. For that data, SSR = 133,295.11 and SST = 140,966.67. Comple parts (a) through (c). a. Determine the coefficient of determination, r2, and interpret its meaning. 20.9456 (Round to four decimal places as needed.) Interpret the meaning of r². It means that 94.56 % of the variation in the cost of a meal (Round to two decimal places as needed.) b. Determine the standard error of the estimate. Syx = (Round to four decimal places as needed.) can be explained by the variation in summated ratings.
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
![A magazine used the summated rating of 10 restaurants to predict the cost of a restaurant meal. For that data, SSR = 133,295.11 and SST = 140,966.67. Complete parts (a) through (c).
a. Determine the coefficient of determination, \( r^2 \), and interpret its meaning.
\[
r^2 = 0.9456 \quad \text{(Round to four decimal places as needed.)}
\]
**Interpret the meaning of \( r^2 \).**
It means that \( 94.56\% \) of the variation in the cost of a meal can be explained by the variation in summated ratings. (Round to two decimal places as needed.)
b. Determine the standard error of the estimate.
\[
S_{YX} = \, \Box \quad \text{(Round to four decimal places as needed.)}
\]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F710e59c6-4738-4995-a68d-52cf2fbdc504%2Fabf63397-077b-4118-bb96-a8bfa5bdfecd%2F6ucnj2u_processed.png&w=3840&q=75)
Transcribed Image Text:A magazine used the summated rating of 10 restaurants to predict the cost of a restaurant meal. For that data, SSR = 133,295.11 and SST = 140,966.67. Complete parts (a) through (c).
a. Determine the coefficient of determination, \( r^2 \), and interpret its meaning.
\[
r^2 = 0.9456 \quad \text{(Round to four decimal places as needed.)}
\]
**Interpret the meaning of \( r^2 \).**
It means that \( 94.56\% \) of the variation in the cost of a meal can be explained by the variation in summated ratings. (Round to two decimal places as needed.)
b. Determine the standard error of the estimate.
\[
S_{YX} = \, \Box \quad \text{(Round to four decimal places as needed.)}
\]
Expert Solution
Step 1
Step by step
Solved in 2 steps with 2 images
Recommended textbooks for you
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
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
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman