A prediction interval for the independent variable X would specify ________.
A)all the possible values of the dependent variable Y
B)the probability distribution for the various values of X
C)the uncertainty in the dependent variable for a single value of X
D)all the possible values of X

Question

Quizplus · Accepted Answer

A prediction interval for the independent variable X would specify the uncertainty in the dependent variable for a single value of X. It provides a range of values within which the actual value of the dependent variable is likely to fall for a given value of X. Therefore, option C is the best choice. Option A is incorrect because prediction interval is used to estimate the range of values likely to be observed in the dependent variable for the given value of independent variable, not for all possible values of dependent variable. Option B is incorrect because prediction interval is used to estimate the uncertainty in the dependent variable, not the probability distribution for the various values of X. Option D is also incorrect because prediction interval is not related to all possible values of X, rather it provides an interval estimate for a single value of X.

A Prediction Interval for the Independent Variable X Would Specify