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 |
|
|