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Midterm

# Sampling distribution/CIs/hypothesis tests for b1

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School
Department
Statistics
Course
STAT 301
Professor
Brett Hunter
Semester
Fall

Description
18 November Inferences about the shape of the population regression line b 1s a point estimate for β 1 b 1s a statistic, so it has a sampling distribution Sampling distribution for b 1 μ b1 = β 1 b is an unbiased estimator of β 1 1 σ σ b1 = √S xx Where S isxx.d. of x x μb,σ b b 1 N ( 1 1 ) σ not usually known, so we estimate S e Sb1 = √ Sxx = standard error of coefficient Thus, we know b1−β 1 b1−β 1 = Se ~ t n – 2 S b1 √S xx CIs for β 1 crit Se
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