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
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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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?
 
 
A.
Do not reject
H0​;
the data
provide
sufficient evidence to conclude that x is useful for predicting y.
 
B.
Reject
H0​;
the data
provide
sufficient evidence to conclude that x is useful for predicting y.
 
C.
Do not reject
H0​;
the data
do not provide
sufficient evidence to conclude that x is useful for predicting y.
This is the correct answer.
 
D.
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
95​%
confidence interval for
β1
is from
 
to
 
​(Round to three decimal places as​ nee
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.)
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.)
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