Suppose you are testing the null hypothesis that the slope of the regression line is zero versus the alternative hypothesis that the slope is different than zero. Would a very small P-value (i.e., less than 0.0001) indicate a strong relationship between the explanatory variable and the response variable? Yes, because the P-value will give the strength of the association between the explanatory variable and the response variable. Yes, because if the P-value is small, then r2 is large. S there could ho lot of reatter about the regression line indicating a wa

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
Suppose you are testing the null hypothesis that the slope of the regression line is zero versus the
alternative hypothesis that the slope is different than zero. Would a very small P-value (i.e., less
than 0.0001) indicate a strong relationship between the explanatory variable and the response
variable?
Yes, because the P-value will give the strength of the association between the explanatory variable and the
response variable.
Yes, because if the P-value is small, then r2 is large.
No, because there could be a lot of scatter about the regression line, indicating a weak relationship between
the explanatory variable and the response variable.
No, because a large P-value would indicate a strong relationship between the explanatory variable and the
response variable.
Transcribed Image Text:Suppose you are testing the null hypothesis that the slope of the regression line is zero versus the alternative hypothesis that the slope is different than zero. Would a very small P-value (i.e., less than 0.0001) indicate a strong relationship between the explanatory variable and the response variable? Yes, because the P-value will give the strength of the association between the explanatory variable and the response variable. Yes, because if the P-value is small, then r2 is large. No, because there could be a lot of scatter about the regression line, indicating a weak relationship between the explanatory variable and the response variable. No, because a large P-value would indicate a strong relationship between the explanatory variable and the response variable.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps

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