when comparing the 90% prediction internval and 99% confidence internval for a m

Question

when comparing the 90% prediction internval and 99% confidence internval for a mean with the same given x , for simple linear gression, which of the following is true? and why

a. the prediction internval is always narrower than the confidence internval

b. prediction internval is always wider than the confidence internval

c. the prediction interval may be wider or narrower than the confidence internval, depdending on the value of x

d. the two intervals are often identical since they are based on the same predicted value

e. none of above

Explanation / Answer

The standard error for the prediction interval is always wider than standard error for confidence interval..

So prediction interval for the mean is always been than the confidence interval.

But the levels (99% &95% )are not given different here.

Answer is e) none of above

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