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S14.2 - Confidence and Prediction Intervals
Confidence and Prediction Intervals
6
Mathematics
Graduate
11/21/2013

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Term
Confidence intervals for a mean response
Definition
Intervals constructed about the predicted value of y, at a given level of x, that are used to measure the accuracy of the mean response of all the individuals in the population
Term
Prediction intervals for an individual response
Definition
Intervals constructed about the predicted value of y that are used to measure the accuracy of a single individual's predicted value
Term
Lower bound CI, mean response of y, ybar =
Definition
yhat - t(alpha/2) [se((1/n) + (x* - xbar)^2/summation(xi - xbar)^2
where x* = given value of the explanatory variable
Term
Upper bound CI, mean response of y, ybar =
Definition
yhat + t(alpha/2) [se((1/n) + (x* - xbar)^2/summation(xi - xbar)^2
where x* = given value of the explanatory variable
Term
Lower bound, prediction interval for an individual response about ybar =
Definition
ybar + t(alpha/2) [se(1 + (1/n) + (x* - xbar)^2/summation(xi - xbar)^2
where x* = given value of the explanatory variable
Term
Upper bound, prediction interval for an individual response about ybar =
Definition
ybar + t(alpha/2) [se(1 + (1/n) + (x* - xbar)^2/summation(xi - xbar)^2
where x* = given value of the explanatory variable
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