Obtain a 99% confidence interval for β1 from the data. Obtain a prediction and 99% prediction interval for a daughter whose mother is 64 inches tall. Average prediction error (Data file: Heights) In...

Obtain a 99% confidence interval for β1 from the data.

Obtain a prediction and 99% prediction interval for a daughter whose mother is 64 inches tall.

Average prediction error (Data file: Heights) In many problems, the analyst may wish to characterize the average prediction error for a regression model either to describe the accuracy that could be expected for predictions of future values in general, or possibly to help choose between competing regression models, as will be discussed in Chapter 10. If sufficient data are available, a simple cross-validation scheme can be used. We divide the data into two parts, a construction set to be used to estimate coefficients, and a validation set used to test the accuracy of the prediction equation.