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Select all the correct statements. (a) For a two-tailed alternate hypothesis, the null hypothesis at level a is accepted if p-value associated with the test statistic is larger than a/2. (b) If 3o and B are the least-squares estimates for the intercept and slope in a simple linear regression model calculated using observations {(r1,y1),..., (In, Yn)}, the least-squares equation ŷ = Bo + Bir always goes through the points (r, yi) for 1

Select all the correct statements. (a) For a two-tailed alternate hypothesis, the null hypothesis at level a is accepted if p-value associated with the test statistic is larger than a/2. (b) If 3o and B are the least-squares estimates for the intercept and slope in a simple linear regression model calculated using observations {(r1,y1),..., (In, Yn)}, the least-squares equation ŷ = Bo + Bir always goes through the points (r, yi) for 1

MATLAB: An Introduction with Applications
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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Select all the correct statements. (a) For a two-tailed alternate hypothesis, the null hypothesis at level a is accepted if p-value associated with the test statistic is larger than a/2. (b) If 3o and B1 are the least-squares estimates for the intercept and slope in a simple linear regression model calculated using observations {(r1,y1),..., (In, Yn)}, the least-squares equation ŷ = Bo + Bir always goes through the points (r, yi) for 1 <i<n. (c) If Bo and B1 are the least-squares estimates for the intercept and slope in a simple linear regression model calculated using observations {(r1,y1),... (In, Yn)}, the least-squares equation ý= Bo+ Bz always goes through the point (27, 27). (d) With the assumption that e~ N(0, o2), Bi as above is a consistent estimator of B1. (e) At significance level a, a hypothesis test for 0 0, versus 0 0, is performed. Given the sampling data, the test will reject the null-hypothesis if 60 does not belong to the (1 - a)100% confidence interval for 0.
Transcribed Image Text:Select all the correct statements. (a) For a two-tailed alternate hypothesis, the null hypothesis at level a is accepted if p-value associated with the test statistic is larger than a/2. (b) If 3o and B1 are the least-squares estimates for the intercept and slope in a simple linear regression model calculated using observations {(r1,y1),..., (In, Yn)}, the least-squares equation ŷ = Bo + Bir always goes through the points (r, yi) for 1 <i<n. (c) If Bo and B1 are the least-squares estimates for the intercept and slope in a simple linear regression model calculated using observations {(r1,y1),... (In, Yn)}, the least-squares equation ý= Bo+ Bz always goes through the point (27, 27). (d) With the assumption that e~ N(0, o2), Bi as above is a consistent estimator of B1. (e) At significance level a, a hypothesis test for 0 0, versus 0 0, is performed. Given the sampling data, the test will reject the null-hypothesis if 60 does not belong to the (1 - a)100% confidence interval for 0.
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