The prediction interval around $y ^ { \prime }$ for a specific $x$ is
A) the interval of values of $x$ used to predict $y ^ { \prime }$.
B) the value of $y$ used to calculate the slope of the regression line.
C) a confidence interval for the true mean value of the $y$ values that correspond to that $x$.
D) the difference between the value of $y$ and the value of $x$.

Question

Quizplus · Accepted Answer

A prediction interval around $y ^ { \prime }$ for a specific $x$ is an estimate of an interval in which future observations will fall, with a certain probability, given what has already been observed. It is not about the interval of $x$ values (A), nor the value of $y$ used in calculations (B), nor the difference between $y$ and $x$ values (D). It specifically relates to the range within which we expect $y$ values to fall for a given $x$.

The Prediction Interval Around y′y ^ { \prime }y′ For a Specific

The Prediction Interval Around $y ^ { \prime }$ For a Specific