How does the estimate of the mean response used in the calculation of the confidence interval for the mean response compare to the predicted value used in the calculation of the prediction interval for an individual response? When you answer this question assume that the same estimated model is used in both cases and the same value of the explanatory variable is used to calculate the prediction interval and the confidence interval.
a. The estimate of the mean response is smaller than the predicted value for an individual response.
b. The estimate of the mean response is exactly that same as the predicted value for an individual response.
c. The estimate of the mean response is larger than the predicted value for an individual response.
d. We have no way to compare the relative magnitude of estimate of the mean response and the predicted value for an individual response.