(b) Population linear regression line is given as y = A + Bx + E. A simple linear regression model for a sample size 12 relating mean starting salary (y) to CGPA (x) obtained is ŷ = -0.9481 + 0.2690x. It is known that the 95% confidence interval for the sample slope is (0.1850, 0.3530). Based on the information given, test the hypothesis that the population slope, B, is greater than 0.25 at 0.5% significance level.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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(b)
Population linear regression line is given as y = A +Bx + E. A simple linear regression
model for a sample size 12 relating mean starting salary (y) to CGPA (x) obtained is ŷ =
-0.9481 + 0.2690x. It is known that the 95% confidence interval for the sample slope is
(0.1850, 0.3530). Based on the information given, test the hypothesis that the population
slope, B, is greater than 0.25 at 0.5% significance level.
Transcribed Image Text:(b) Population linear regression line is given as y = A +Bx + E. A simple linear regression model for a sample size 12 relating mean starting salary (y) to CGPA (x) obtained is ŷ = -0.9481 + 0.2690x. It is known that the 95% confidence interval for the sample slope is (0.1850, 0.3530). Based on the information given, test the hypothesis that the population slope, B, is greater than 0.25 at 0.5% significance level.
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