Which of the following statements is true?
A) The interval estimate for predicting a particular value of y given a specific x will be narrower than the interval estimate for the average value of y given a particular x.
B) The higher the r-square value, the wider will be the prediction interval based on a simple linear regression model.
C) The prediction interval generated from a simple linear regression model will be narrowest when the value of x used to generate the predicted y value is close to the mean value of x.
D) The prediction interval generated from a simple linear regression model will be widest when the value of x used to generate the predicted y value is close to the mean value of x.

Question

Quizplus · Accepted Answer

The prediction interval for a single prediction in regression analysis tends to be narrowest when the value of x is close to the mean of x. This is because the further away from the mean of x, the greater the uncertainty in the prediction, leading to wider intervals.

Which of the Following Statements Is True