Regression PI vs CI for mean

Regression PI vs CI for mean - 12/1/2010 Predicting for...

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12/1/2010 1 Predicting for Individuals versus Estimating the Mean How would you predict the final exam score for Barb who scored 60 points on exam 2? ) ( 046 . 1 67 . 21 ˆ x y How would you estimate the mean final exam score for all students who scored 60 points on exam 2? estimate for predicting a future observation and for estimating the mean response are same. What about their standard errors ? Predicting for Individuals versus Estimating the Mean A population of individuals and a population of means… Std dev for a population of individuals? Std dev for a population of means? Which standard deviation is larger? So a prediction interval for an individual response will be (wider or narrower) than a confidence interval for a mean response .
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12/1/2010 2 Predicting for Individuals versus Estimating the Mean Confidence interval for a mean response : s.e.(fit) ˆ * t y where  2 2 ) ( 1 ) fit ( s.e.
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Regression PI vs CI for mean - 12/1/2010 Predicting for...

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