Which of the following is the purpose of a confidence interval for the fitted (predicted value) from a

regression model?

A) To estimate the value of a future observation for a given value of x.

B) To estimate the population mean of Y for a given value of x

C) To estimate the population slope of the regression model

D) To estimate the sample mean of Y for a given value of x.

Question

Mathematics

Santino Aguirre

10 February, 07:22

Which of the following is the purpose of a confidence interval for the fitted (predicted value) from a

regression model?

A) To estimate the value of a future observation for a given value of x.

B) To estimate the population mean of Y for a given value of x

C) To estimate the population slope of the regression model

D) To estimate the sample mean of Y for a given value of x.

+2

Answers (1)

Know the Answer?

Dean Bowen · Answer 1

Answer: option A is correct

Step-by-step explanation:

the prediction interval is to cover a "moving target", the random future value of y,

while the confidence interval is to cover the "fixed target",

the average (expected) value of y, E (y).