Question: Consider the gasoline mileage data in Exercise 12-7. (a) Find 99% confidence intervals on the regression coefficients. (b) Find a 99% confidence interval on the

Consider the gasoline mileage data in Exercise 12-7.

(a) Find 99% confidence intervals on the regression coefficients.

(b) Find a 99% confidence interval on the mean of Y for the regressor values in the first row of data.

(c) Fit a new regression model to these data using cid, etw, and axle as the regressors. Find 99% confidence intervals on the regression coefficients in this new model.

(d) Compare the lengths of the confidence intervals from part

(c) with those found in part (a). Which intervals are longer? Does this offer any insight about which model is preferable?

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