Given the simple regression model Y = Bo + B₁X and the regression results that follow, test the null hypothesis that the slope coefficient is 0 versus the alternative hypothesis of greater than zero using probability of Type I error equal to 0.05, and determine the two-sided 95% and 99% confidence intervals. a. A random sample of size n = 36 with b₁ = 8 and Sp₁ = 1.9
Given the simple regression model Y = Bo + B₁X and the regression results that follow, test the null hypothesis that the slope coefficient is 0 versus the alternative hypothesis of greater than zero using probability of Type I error equal to 0.05, and determine the two-sided 95% and 99% confidence intervals. a. A random sample of size n = 36 with b₁ = 8 and Sp₁ = 1.9
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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Transcribed Image Text:Given the simple regression model Y=B₁ + B₁X and the regression results that follow, test the null hypothesis that the
slope coefficient is 0 versus the alternative hypothesis of greater than zero using probability of Type I error equal to
0.05, and determine the two-sided 95% and 99% confidence intervals.
Sb₁
561
a. A random sample of size n = 36 with b₁ = 8 and
b. A random sample of size n = 49 with b₁ = 8.1 and
= 1.9
c. A random sample of size n = 36 with b₁ = 3.1 and
Sb₁
Sb₁
d. A random sample of size n = 26 with b₁ = 9.5 and
= 1.9
Determine the two-sided 95% confidence interval.
(Round to two decimal places as needed.)
= 1.62
a. Test the null hypothesis that the slope coefficient is 0 versus the alternative hypothesis of greater than zero using
probability of Type I error equal to 0.05.
Reject
Ho. There is sufficient
= 1.6
evidence that the slope coefficient is greater than zero.
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Follow-up Question
do for b, c, and d
also remember to find he 99% confidence interval too

Transcribed Image Text:Given the simple regression model Y=B₁ + B₁X and the regression results that follow, test the null hypothesis that the
slope coefficient is 0 versus the alternative hypothesis of greater than zero using probability of Type I error equal to
0.05, and determine the two-sided 95% and 99% confidence intervals.
a. A random sample of size n = 36 with b₁ = 8 and
Sb₁
1 Sb1
b. A random sample of size n = 49 with b₁ = 8.1 and
= 1.9
= 1.9
c. A random sample of size n = 36 with b₁ = 3.1 and
Sb₁
1 Sb₁
d. A random sample of size n = 26 with b₁ = 9.5 and
= 1.62
= 1.6
b. Test the null hypothesis that the slope coefficient is 0 versus the alternative hypothesis of greater than zero using
probability of Type I error equal to 0.05.
Reject
Ho. There is sufficient
Determine the two-sided 95% confidence interval.
(Round to two decimal places as needed.)
evidence that the slope coefficient is greater than zero.
Solution
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