A regression equation can be used to make predictions of the y value corresponding to a particular x value. Determine whether the following statement is true or false: The 95% confidence interval for the mean of all values of y for which x = x0 will be wider than the 95% confidence interval for a single y for which x = x0.

Question

Quizplus · Accepted Answer

The 95% confidence interval for the mean of all values of y for which x = x0 is narrower than the 95% confidence interval for a single y value at x = x0 because the former estimates the average value, reducing variability.

A Regression Equation Can Be Used to Make Predictions of the Y