AP Statistics : How to find confidence intervals for the slope of a least-squares regression line

Study concepts, example questions & explanations for AP Statistics

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Example Questions

Example Question #1 : How To Find Confidence Intervals For The Slope Of A Least Squares Regression Line

You estimate a regression model with  and , where  is the beta coefficient and  is the standard error.  Construct 95% confidence intervals for .

Possible Answers:

Correct answer:


To construct 95% confidence intervals for , we simply take the coefficient and add/subtract . This is because  is assumed to follow a symmetrical distribution (the normal), and 95% of the values in the sampling distribution are contained within 1.96 standard errors of .

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