July 2012
Intermediate to advanced
400 pages
9h 33m
English
Content preview from Statistical Inference: A Short CourseBecome an O’Reilly member and get unlimited access to this title plus top books and audiobooks from O’Reilly and nearly 200 top publishers, thousands of courses curated by job role, 150+ live events each month,
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12.8 Predicting the Average Value of Y given X
Suppose we are interested in predicting the average value of Y given X = Xi, 
With 
and 
unbiased estimators of 
and 
, respectively, it follows that 
, that is, an unbiased estimator for the population regression line is the sample regression line. So with 
an estimator for 
, it can be shown that the estimated standard deviation of 
may be computed as
Under the assumption that ε is normally distributed and and are BLUE, it follows that
and ...
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