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. 09 9 6 267-3 x y y = -0.427+0.522x, x₁ = 29, x² = 223, b₁ = 0.522, and s=4.0936 50 1
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. 09 9 6 267-3 x y y = -0.427+0.522x, x₁ = 29, x² = 223, b₁ = 0.522, and s=4.0936 50 1
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 are the hypotheses for the test?
H0:
β1≠0
and
Ha:
β1=0
H0:
β1=0
and
Ha:
β1<0
H0:
β1=0
and
Ha:
β1>0
H0:
β1=0
and
Ha:
β1≠0
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.)Part 4
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
do not 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
provide
sufficient evidence to conclude that x is useful for predicting y.Part 5
b. Find a
95%
confidence interval for the slope of the population regression line.The
95%
confidence interval for
β1
is from
enter your response here
to
enter your response here.
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.
50
1
X
09 9 6
y
2
6
7 -3
2
y = -0.427 +0.522x, x₁ = 29, Σx₁² = 223, b₁ = 0.522, and s=4.0936
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