A researcher would like to predict the dependent variable Y from the two independent variables X1 and X2 for a sample of N = 16 subjects. Use multiple linear regression to calculate the coefficient of multiple determination and test the significance of the overall regression model. Use a significance level a = 0.01. X1 X2 50.2 42 50.5 37.9 53.9 46.7 31 61.5 43.9 48.3 41.5 46.1 47.7 50 50.5 52.2 49.4 42.8 57.8 38.8 43.3 44.9 55.3 56.8 57.3 46.1 59.5 53.7 46.9 55.2 18.5 58.4 33.7 33.6 63.3 37.9 48 42.4 29.1 28.2 61, 46.9 -9.8 76.3 34.4 56.2 44.4 63.6 SSres F P-value = What is your decision for the hypothesis test? O Reject the null hypothesis, Ho:B1 = Bg = 0 O Fail to reject Ho What is your final conclusion? OThe evidence supports the claim that one or more of the regression coefficients is non-zero OThe evidence supports the claim that all of the regression coefficients are zero
A researcher would like to predict the dependent variable Y from the two independent variables X1 and X2 for a sample of N = 16 subjects. Use multiple linear regression to calculate the coefficient of multiple determination and test the significance of the overall regression model. Use a significance level a = 0.01. X1 X2 50.2 42 50.5 37.9 53.9 46.7 31 61.5 43.9 48.3 41.5 46.1 47.7 50 50.5 52.2 49.4 42.8 57.8 38.8 43.3 44.9 55.3 56.8 57.3 46.1 59.5 53.7 46.9 55.2 18.5 58.4 33.7 33.6 63.3 37.9 48 42.4 29.1 28.2 61, 46.9 -9.8 76.3 34.4 56.2 44.4 63.6 SSres F P-value = What is your decision for the hypothesis test? O Reject the null hypothesis, Ho:B1 = Bg = 0 O Fail to reject Ho What is your final conclusion? OThe evidence supports the claim that one or more of the regression coefficients is non-zero OThe evidence supports the claim that all of the regression coefficients are zero
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Topic Video
Question
using Excel
![A researcher wvould like to predict the dependent variable Y from the two independent variables X1 and X2 for a sample of N = 16 subjects. Use multiple linear regression to calculate the coefficient of multiple determination and test the
significance of the overall regression model. Use a significance levela = 0.01.
X1
X2
50.2
42
50.5
37.9
53.9
46.7
31
61.5
43.9
48.3
41.5
46.1
47.7
50
50.5
52.2
49.4
42.8
57.8
38.8
43.3
44.9
55.3
56.8
57.3
46.1
59.5
53.7
46.9
55.2
18.5
58.4
33.7
33.6
63.3
37.9
48
42.4
29.1
28.2
61.1
46.9
-9.8
76.3
34.4
56.2
44.4| 63.6
SSres
%3D
F =
P-value =
What is your decision for the hypothesis test?
O Reject the null hypothesis, Ho:B = B2 = 0
O Fail to reject Ho
What is your final conclusion?
OThe evidence supports the claim that one or more of the regression coefficients is non-zero
OThe evidence supports the claim that all of the regression coefficients are zero](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fddf9c773-7147-449f-98b7-b7b0cfa3e826%2Ffcad8f68-f79e-4ed5-9702-359cbc3c73c4%2Fb4i06kg_processed.png&w=3840&q=75)
Transcribed Image Text:A researcher wvould like to predict the dependent variable Y from the two independent variables X1 and X2 for a sample of N = 16 subjects. Use multiple linear regression to calculate the coefficient of multiple determination and test the
significance of the overall regression model. Use a significance levela = 0.01.
X1
X2
50.2
42
50.5
37.9
53.9
46.7
31
61.5
43.9
48.3
41.5
46.1
47.7
50
50.5
52.2
49.4
42.8
57.8
38.8
43.3
44.9
55.3
56.8
57.3
46.1
59.5
53.7
46.9
55.2
18.5
58.4
33.7
33.6
63.3
37.9
48
42.4
29.1
28.2
61.1
46.9
-9.8
76.3
34.4
56.2
44.4| 63.6
SSres
%3D
F =
P-value =
What is your decision for the hypothesis test?
O Reject the null hypothesis, Ho:B = B2 = 0
O Fail to reject Ho
What is your final conclusion?
OThe evidence supports the claim that one or more of the regression coefficients is non-zero
OThe evidence supports the claim that all of the regression coefficients are zero
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 3 steps with 1 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Knowledge Booster
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](https://www.bartleby.com/isbn_cover_images/9781119256830/9781119256830_smallCoverImage.gif)
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
![Probability and Statistics for Engineering and th…](https://www.bartleby.com/isbn_cover_images/9781305251809/9781305251809_smallCoverImage.gif)
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
![Statistics for The Behavioral Sciences (MindTap C…](https://www.bartleby.com/isbn_cover_images/9781305504912/9781305504912_smallCoverImage.gif)
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
![MATLAB: An Introduction with Applications](https://www.bartleby.com/isbn_cover_images/9781119256830/9781119256830_smallCoverImage.gif)
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
![Probability and Statistics for Engineering and th…](https://www.bartleby.com/isbn_cover_images/9781305251809/9781305251809_smallCoverImage.gif)
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
![Statistics for The Behavioral Sciences (MindTap C…](https://www.bartleby.com/isbn_cover_images/9781305504912/9781305504912_smallCoverImage.gif)
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…](https://www.bartleby.com/isbn_cover_images/9780134683416/9780134683416_smallCoverImage.gif)
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
![The Basic Practice of Statistics](https://www.bartleby.com/isbn_cover_images/9781319042578/9781319042578_smallCoverImage.gif)
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](https://www.bartleby.com/isbn_cover_images/9781319013387/9781319013387_smallCoverImage.gif)
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman