(Solution) - Consider the gasoline mileage data in Exercise 12 5 a Find 99 -(2025 Original AI-Free Solution)
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Consider the gasoline mileage data in Exercise 12-5.
(a) Find 99% confidence intervals on B1 and B6.
(b) Find a 99% confidence interval on the mean of Y when x1 = 300 and x6 = 4.
(c) Fit a new regression model to these data using x1, x2, x6, and x10 as the regressors. Find 99% confidence intervals on the regression coefficients in this new model.
(d) Compare the lengths of the confidence intervals on B1 and B6 from part (c) with those found in part (a). Which intervals are longer? Does this offer any insight about adding the variables x2 and x10 to the model?