i. Test the following hypothesis with 5% significance level Họ : B1 = 0 На: В 20 ii. Test the following hypothesis with 5% significance level Ho : B1 = 0 НА: В > 0 iii. Test the following hypothesis with 5% significance level. Show the rejection region in a graph. Ho : B1 = 0 На: В <0

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter1: Functions
Section1.2: The Least Square Line
Problem 8E
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Question 5
Consider a simple linear regression with the following results:
Sample size:24
Estimated slope parameter:B1 = 0.31
Estimated standard error: 0.082
i. Test the following hypothesis with 5% significance level
Ho : B1 = 0
НА : В +0
ii. Test the following hypothesis with 5% significance level
: B1 = 0
На: В1 > 0
iii. Test the following hypothesis with 5% significance level. Show the rejection region in a
graph.
Но : В — 0
На: В <0
iv. Test the following hypothesis with 5% significance level. Show the rejection region in a
graph.
Но : В — 0.5
НА : В +0.5
v. Construct a 95% interval estimate of the slope parameter.
Transcribed Image Text:Question 5 Consider a simple linear regression with the following results: Sample size:24 Estimated slope parameter:B1 = 0.31 Estimated standard error: 0.082 i. Test the following hypothesis with 5% significance level Ho : B1 = 0 НА : В +0 ii. Test the following hypothesis with 5% significance level : B1 = 0 На: В1 > 0 iii. Test the following hypothesis with 5% significance level. Show the rejection region in a graph. Но : В — 0 На: В <0 iv. Test the following hypothesis with 5% significance level. Show the rejection region in a graph. Но : В — 0.5 НА : В +0.5 v. Construct a 95% interval estimate of the slope parameter.
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