The prediction interval around y\' for a specific x is a confidence interval for

Question

The prediction interval around y' for a specific x is a confidence interval for the true mean value of the y values that correspond to that x. the value of y used to calculate the slope' of the recession line. the interval of values of x used to predict y'. the difference between the value of y and the value of x. As a researcher collects more and more data the 95% prediction intervals in general become narrower and narrower, with the widths getting closer and closer to 0. become narrower and narrower, but the widths are always more than approximately 2 times the standard error of the estimate. become narrower and narrower, but the widths are always more than approximately 4 times the standard error of the estimate. become narrower and narrower, but the widths are always more than approximately 4 times the slope.

Explanation / Answer

Q27

A prediction interval around Y^ is the confidence interval for the true mean value of y values that corresponds to thatx.

Option A is correct

A prediction interval contains the true mean value of y

Q 28

Given that the reasercher collect more and more data

That is the sample size n is increases

So, as the sample size increases the 95% prediction interval becomes narrower and narrower but the widths are always more than approximately 2 times the standard error of the estimate

option B is correct

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