Find the p-value. (Round your answer to three decimal places.) p-value =  State your conclusion. Reject H0. We conclude that the relationship between x and y is significant.Reject H0. We cannot conclude that the relationship between x and y is significant.     Do not reject H0. We conclude that the relationship between x and y is significant.Do not reject H0. We cannot conclude that the relationship between x and y is 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
Topic Video
Question
You may need to use the appropriate technology to answer this question.
Consider the data.
xi
1 2 3 4 5
yi
4 8 6 12 15
(a)
Compute the mean square error using equation 
s2 = MSE = 
SSE
n − 2
 .
 (Round your answer to two decimal places.)
 
(b)
Compute the standard error of the estimate using equation 
s = 
  MSE
 = 
 
SSE
n − 2
 .
 (Round your answer to three decimal places.)
 
(c)
Compute the estimated standard deviation of 
b1
 using equation 
sb1 = 
s
  Σ(xi − x)2
.
 (Round your answer to three decimal places.)
 
(d)
Use the t test to test the following hypotheses (? = 0.05):
H0: ?1  =  0
Ha: ?1 0
Find the value of the test statistic. (Round your answer to three decimal places.)
 
Find the p-value. (Round your answer to four decimal places.)
p-value = 
State your conclusion.
Reject H0. We cannot conclude that the relationship between x and y is significant.Do not reject H0. We conclude that the relationship between x and y is significant.     Reject H0. We conclude that the relationship between x and y is significant.Do not reject H0. We cannot conclude that the relationship between x and y is significant.
(e)
Use the F test to test the hypotheses in part (d) at a 0.05 level of significance. Present the results in the analysis of variance table format.
Set up the ANOVA table. (Round your values for MSE and F to two decimal places, and your p-value to three decimal places.)
Source
of Variation
Sum
of Squares
Degrees
of Freedom
Mean
Square
F p-value
Regression          
Error          
Total          
Find the value of the test statistic. (Round your answer to two decimal places.)
 
Find the p-value. (Round your answer to three decimal places.)
p-value = 
State your conclusion.
Reject H0. We conclude that the relationship between x and y is significant.Reject H0. We cannot conclude that the relationship between x and y is significant.     Do not reject H0. We conclude that the relationship between x and y is significant.Do not reject H0. We cannot conclude that the relationship between x and y is significant.
Expert Solution
steps

Step by step

Solved in 4 steps with 4 images

Blurred answer
Knowledge Booster
Centre, Spread, and Shape of a Distribution
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