Homework Help is Here – Start Your Trial Now!
Math
Statistics
Exhibit 14-16 You are given the following information about x and y. X Independent Variable 21 8 9 10 Dependent Variable O.1905 O-638 .639 O-.1905 10 4 +005 8 Refer to Exhibit 14-16. The coefficient of determination equals

Exhibit 14-16 You are given the following information about x and y. X Independent Variable 21 8 9 10 Dependent Variable O.1905 O-638 .639 O-.1905 10 4 +005 8 Refer to Exhibit 14-16. The coefficient of determination equals

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
See similar textbooks
icon
Related questions
Question
100%
**Exhibit 14-16** You are given the following information about x and y. | x (Independent Variable) | y (Dependent Variable) | |--------------------------|------------------------| | 21 | 10 | | 8 | 4 | | 9 | 8 | | 10 | 5 | Refer to Exhibit 14-16. The coefficient of determination equals _____. - ○ .1905 - ○ -.638 - ○ .639 - ○ -.1905 **Explanation:** This exhibit presents data for two variables, an independent variable \(x\) and a dependent variable \(y\). Four pairs of values are provided, showing how changes in \(x\) might be associated with changes in \(y\). The task is to determine the coefficient of determination, which indicates how well the independent variable explains the variability in the dependent variable. The possible answers are labeled and include both positive and negative values.
Transcribed Image Text:**Exhibit 14-16** You are given the following information about x and y. | x (Independent Variable) | y (Dependent Variable) | |--------------------------|------------------------| | 21 | 10 | | 8 | 4 | | 9 | 8 | | 10 | 5 | Refer to Exhibit 14-16. The coefficient of determination equals _____. - ○ .1905 - ○ -.638 - ○ .639 - ○ -.1905 **Explanation:** This exhibit presents data for two variables, an independent variable \(x\) and a dependent variable \(y\). Four pairs of values are provided, showing how changes in \(x\) might be associated with changes in \(y\). The task is to determine the coefficient of determination, which indicates how well the independent variable explains the variability in the dependent variable. The possible answers are labeled and include both positive and negative values.
Expert Solution
Step 1
X Y X.Y X2 Y2
21 10 210 441 100
8 4 32 64 16
9 8 72 81 64
10 5 50 100 25
∑X=48 ∑Y=27 ∑XY=364 ∑X2=686 ∑Y2=205
steps

Step by step

Solved in 2 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
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
SEE MORE TEXTBOOKS