Question

Prediction intervals get narrower as we extrapolate outside the range of the data.
t/f

Answer 1

false

Prediction intervals must account for both the uncertainty in estimating the population mean, plus the random variation of the individual values. So a prediction interval is always wider than a confidence interval.

Answer 2

False. Prediction intervals actually get wider as we extrapolate outside the range of the data.

Step-by-step explanation:

False. Prediction intervals actually get wider as we extrapolate outside the range of the data. This is because the uncertainty in our predictions increases when we move further away from the observed data. As we go beyond the range of the data, the prediction intervals need to account for the increased variability and uncertainty in the extrapolated values. Therefore, the prediction intervals become wider to capture this increased uncertainty.