How to interpret if coefficient of specification is 0 (zero)? a) There is no relationship between the dependent variable and the independent variable

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
icon
Concept explainers
Question

40

-
How to interpret if coefficient of specification is 0 (zero)?
a)
There is no relationship between the dependent variable and the independent variable.

B)
There is no relationship between the dependent variable and the independent variable

NS)
No comment can be made as the correlation coefficient is not given

D)
The independent variable does not explain the dependent variable at all.

TO)
The coefficient of designation cannot theoretically be 0 (zero)

Expert Solution
Step 1

The coefficient of specification is nothing but the slope coefficient b1 in a regression line. 

Let y= a+ bx be the regression line. 

Here, a is the intercept, b is the slope, x is the  independent variable and y is the independent variable. 

The coefficient of the specification is nothing but the slope coefficient 

If the slope of the coefficient b1 is positive, then there is a positive linear relationship between independent variable and the dependent variable. That is, if one increases, the other increases.

If the slope of the coefficient b1 is negative, then there is a negative linear relationship between the independent variable and the dependent variable.

That is, if one increases the other variable decreases.

If the slope coefficient  is 0, then as one increases, the other remains constant. That is, there is no predictive relationship. In other words, there is no relationship between the independent variable and the dependent variable. 

 

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Correlation, Regression, and Association
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.
Similar 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