the data and sample regression equation shown below, do the following. a. Decide, at the 5% significance level, whether the data provide sufficient evidence to conclude that x is useful for predicting y. b. Find a 95% confidence interval for the slope of the population regression line. x y 0 7 7 2 40 418-9 7 y=-0.853 +0.763x, x₁ = 20, x² = 118, b₁ = 0.763, and s₁ = 7.4087 a. What are the hypotheses for the test? OA. Ho: B₁ #0 and H₁: B₁ = 0 OB. Ho: B₁ = 0 and H.: B. 0
the data and sample regression equation shown below, do the following. a. Decide, at the 5% significance level, whether the data provide sufficient evidence to conclude that x is useful for predicting y. b. Find a 95% confidence interval for the slope of the population regression line. x y 0 7 7 2 40 418-9 7 y=-0.853 +0.763x, x₁ = 20, x² = 118, b₁ = 0.763, and s₁ = 7.4087 a. What are the hypotheses for the test? OA. Ho: B₁ #0 and H₁: B₁ = 0 OB. Ho: B₁ = 0 and H.: B. 0
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
What is the test statistic?
t=
(Round to two decimal places as needed.)Find the P-value.
P-value=
(Round to three decimal places as needed.)Which of the following is the correct conclusion for the hypothesis test?
Do not reject
H0;
the data
provide
sufficient evidence to conclude that x is useful for predicting y.Reject
H0;
the data
provide
sufficient evidence to conclude that x is useful for predicting y.Do not reject
H0;
the data
do not provide
sufficient evidence to conclude that x is useful for predicting y.Reject
H0;
the data
do not provide
sufficient evidence to conclude that x is useful for predicting y.b. Find a
95%
confidence interval for the slope of the population regression line.The
to
95%
confidence interval for
β1
is from
(Round to three decimal places as nee

Transcribed Image Text:For the data and sample regression equation shown below, do the following.
a. Decide, at the 5% significance level, whether the data provide sufficient evidence to conclude that x is
useful for predicting y.
b. Find a 95% confidence interval for the slope of the population regression line.
X
y
077 2
4
1 8 -9 7
y=-0.853 +0.763x, x₁ = 20, x₁² = 118, b₁ = 0.763, and s₂ = 7.4087
40
a. What are the hypotheses for the test?
A. Ho: B₁ #0 and H₂: B₁ = 0
B. Ho: B₁ = 0 and H₂: B₁ >0
a
C. Ho: B₁0 and H₂: B₁ #0
Ho: B₁ = 0 and H₂: B₁ <0
What is the test statistic?
t= (Round to two decimal places as needed.)
Expert Solution

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 2 steps

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