For the data and sample regression equation shown below, do the following. a. Decide, at the 10% significance level, whether the data provide sufficient evidence to conclude that x is useful for predicting y. b. Find a 90% confidence interval for the slope of the population regression line. X y 4 1 2 3 4 10 8 -5 y=-3.5+2.2x, x₁ = 10, Σx₁² = 30, b₁ = 2.2, and se = 5.7359
For the data and sample regression equation shown below, do the following. a. Decide, at the 10% significance level, whether the data provide sufficient evidence to conclude that x is useful for predicting y. b. Find a 90% confidence interval for the slope of the population regression line. X y 4 1 2 3 4 10 8 -5 y=-3.5+2.2x, x₁ = 10, Σx₁² = 30, b₁ = 2.2, and se = 5.7359
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Question
P-value=enter your response here
(Round to three decimal places as needed.)Which of the following is the correct conclusion for the hypothesis test?
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.Do not reject
H0;
the data
provide
sufficient evidence to conclude that x is useful for predicting y.b. Find a
90%
confidence interval for the slope of the population regression line.The
to
90%
confidence interval for
β1
is from
(Round to three decimal places as needed.)
Transcribed Image Text:For the data and sample regression equation shown below, do the following.
a. Decide, at the 10% significance level, whether the data provide sufficient evidence
to conclude that x is useful for predicting y.
b. Find a 90% confidence interval for the slope of the population regression line.
X
2 3
y
4
8
-5
y = -3.5+2.2x, x₁ = 10, x₁²=30, b₁ = 2.2, and s₂ = 5.7359
4
1
10
a. What are the hypotheses for the test?
A. Ho: B₁0 and H₂: B₁ #0
B. Ho: B₁ #0 and H₂: B₁ = 0
O C.
Ho: B₁ = 0 and H₂: B₁ >0
O D. Ho: B₁0 and Ha: B₁ <0
What is the test statistic?
t= (Round to two decimal places as needed.)
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