Consider the data. xi 1 2 3 4 5 yi 3 8 5 10 14 (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.)

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
Consider the data.
xi
1 2 3 4 5
yi
3 8 5 10 14
(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.
Do not reject H0. We cannot 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.
Reject H0. We 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.
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.     
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.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 4 images

Blurred answer
Knowledge Booster
Point Estimation, Limit Theorems, Approximations, and Bounds
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