R2=  F= P-value for overall model =  t1=  for b1, P-value =  t2=  for b2, P-value =  What is your conclusion for the overall regression model (also called the omnibus test)? The overall regression model is statistically significant at α=0.01. The overall regression model is not statistically significant at α=0.01. Which of the regression coefficients are statistically different from zero? neither regression coefficient is statistically significant the slope for the first variable b1 is the only statistically significant coefficient the slope for the second variable b2 is the only statistically significant coefficient both regression coefficients are statistically significant

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
100%

A researcher would like to predict the dependent variable Y from the two independent variables X1 and X2 for a sample of N=13 subjects.  Use multiple linear regression to calculate the coefficient of multiple determination and test statistics to assess the significance of the regression model and partial slopes.  Use a significance level α=0.01.

X1 X2 Y
49 45.3 42.4
46.3 48.1 47.6
46.2 57 35.8
39.1 50.5 66.5
31.3 47.1 62.1
50 48.4 61.8
43.6 47.4 47.8
39.1 42.2 77.2
45.2 54.7 44.7
53.2 56.8 63.9
38.4 34 70.7
28.3 43.3 49.1
38.9 51.9 49.8



R2= 
F=
P-value for overall model = 

t1= 
for b1, P-value = 
t2= 
for b2, P-value = 

What is your conclusion for the overall regression model (also called the omnibus test)?

  • The overall regression model is statistically significant at α=0.01.
  • The overall regression model is not statistically significant at α=0.01.



Which of the regression coefficients are statistically different from zero?

  • neither regression coefficient is statistically significant
  • the slope for the first variable b1 is the only statistically significant coefficient
  • the slope for the second variable b2 is the only statistically significant coefficient
  • both regression coefficients are statistically significant
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

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
  • 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