State whether each of the following is true or false and explain your answer.

a. The estimate of the mean of the response variable at a particular set of predictor variable values is the same as the predicted value of the response variable based on the sample multiple linear regression equation.

b. The prediction interval for the value of the response variable at a particular set of values of the predictor variables is wider than the confidence interval for the conditional mean of the response variable at the same set of values of the predictor variables.

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