The coefficient of determination r2 is the ratio of which two types of variations? What does r2 measure? What does 1-r² measure?

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
Don’t explain just ans from part A-C by labeling like part A ans is b....
The coefficient of determination r2 is the ratio of which two types of variations? What does r2 measure? What does 1-r² measure?
The coeffcient of determination is the ratio of the explained variation to the total variation.
O A. The coefficient of determination is the ratio of the explained variation to
the total variation.
O B. The coefficient of determination is the ratio of the total variation to the
explained variation.
O C. The coefficient of determination is the ratio of the unexplained variation to O D. The coefficient of determination is the ratio of the total variation to the
unexplained variation.
the total variation.
Choose the correct answer below.
O A. The coefficient of determination is the percent of the predicted values that O B. The coefficient of determination is a measure of how closely two
equal the actual data values.
variables vary together.
OC. The coefficient of determination is the percent of the variation that is
unexplained.
O D. The coefficient of determination is the percent of variation of y that is
explained by the relationship between x and y.
Choose the correct answer below.
Transcribed Image Text:The coefficient of determination r2 is the ratio of which two types of variations? What does r2 measure? What does 1-r² measure? The coeffcient of determination is the ratio of the explained variation to the total variation. O A. The coefficient of determination is the ratio of the explained variation to the total variation. O B. The coefficient of determination is the ratio of the total variation to the explained variation. O C. The coefficient of determination is the ratio of the unexplained variation to O D. The coefficient of determination is the ratio of the total variation to the unexplained variation. the total variation. Choose the correct answer below. O A. The coefficient of determination is the percent of the predicted values that O B. The coefficient of determination is a measure of how closely two equal the actual data values. variables vary together. OC. The coefficient of determination is the percent of the variation that is unexplained. O D. The coefficient of determination is the percent of variation of y that is explained by the relationship between x and y. Choose the correct answer below.
Choose the correct answer below.
O A. The value 1-r2 is a measure of how closely two variables vary together.
O B. The value 1-r2 is the percent of the variation that is unexplained.
O C. The value 1-r2 is the percent of variation of y that is explained by the relationship between x and y.
D. The value 1-r2 is the percent of the predicted values that equal the actual data values.
Transcribed Image Text:Choose the correct answer below. O A. The value 1-r2 is a measure of how closely two variables vary together. O B. The value 1-r2 is the percent of the variation that is unexplained. O C. The value 1-r2 is the percent of variation of y that is explained by the relationship between x and y. D. The value 1-r2 is the percent of the predicted values that equal the actual data values.
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Research Ethics
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
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