(c) Use the F test to test for a significant relationship. Use a= 0.05. we are to conduct a hypothesis test to determine if there is a significant relationship between x and y, but now we will use the F test statistic. Again, we will test the following hypotheses. Ho: P₁0 H₂!A₂0 The F test statistic is calculated as follows using the mean square due to regression, MSR, and the mean square due to error, MSE. Recall the MSE is using SSE, the sum of squares due to error, and n, the number of observations where MSE MSR MSE SSE n-2 Combining these into a single formula, we have the following. MSR F="sst 1-2 We previously found SSE 231.3 and n 5, so we just need to calculate MSR. This will be the sum of squares due to regression, SSR, divided by the number of independent variable For this test, there is only one independent variable, x, so MSR SSR. Recall the formula to find SSR where 9, is the predicted value of the dependent variable for the ith observation and y is the mean of the observed dependent variables. SSR- -Σ0₁-² The given data follow. Find y. x₁ 4 5 Enter a number 12 17 22 Y 19 27 14 36 28
(c) Use the F test to test for a significant relationship. Use a= 0.05. we are to conduct a hypothesis test to determine if there is a significant relationship between x and y, but now we will use the F test statistic. Again, we will test the following hypotheses. Ho: P₁0 H₂!A₂0 The F test statistic is calculated as follows using the mean square due to regression, MSR, and the mean square due to error, MSE. Recall the MSE is using SSE, the sum of squares due to error, and n, the number of observations where MSE MSR MSE SSE n-2 Combining these into a single formula, we have the following. MSR F="sst 1-2 We previously found SSE 231.3 and n 5, so we just need to calculate MSR. This will be the sum of squares due to regression, SSR, divided by the number of independent variable For this test, there is only one independent variable, x, so MSR SSR. Recall the formula to find SSR where 9, is the predicted value of the dependent variable for the ith observation and y is the mean of the observed dependent variables. SSR- -Σ0₁-² The given data follow. Find y. x₁ 4 5 Enter a number 12 17 22 Y 19 27 14 36 28
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
Question
J 2
Transcribed Image Text:(c) Use the F test to test for a significant relationship. Use a = 0.05.
We are to conduct a hypothesis test to determine if there is a significant relationship between x and y, but now we will use the F test statistic. Again, we will test the following
hypotheses.
Ho: P₁0
H₂! A₂ O
The F test statistic is calculated as follows using the mean square due to regression, MSR, and the mean square due to error, MSE. Recall the MSE is using SSE, the sum of squares due
to error, and n, the number of observations.
MSR
MSE
Find y
Combining these into a single formula, we have the following.
MSR
sse
The given data follow.
We previously found SSE 231.3 and n 5, so we just need to calculate MSR. This will be the sum of squares due to regression, SSR, divided by the number of independent variables.
For this test, there is only one independent variable, x, so MSR SSR. Recall the formula to find SSR where 9, is the predicted value of the dependent variable for the ith observation
and y is the mean of the observed dependent variables.
SSR-0₁-²
SSE
n-2
where MSE.
Enter a number
X 45 12 17 22
Y₁19 27 14 36 28
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 1 images
Recommended textbooks for you
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
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
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman