Using the cigarette data in Exercise 6.5-7, find 95% confidence intervals for , , and 2

Chapter 7, Problem 7.6-18

(choose chapter or problem)

Using the cigarette data in Exercise 6.5-7, find 95% confidence intervals for \(\alpha, \beta\), and \(\sigma^2\) under the usual assumptions.

Exercise 6.5-7

The Federal Trade Commission measured the number of milligrams of tar and carbon monoxide (CO) per cigarette for all domestic cigarettes. Let x and y equal the measurements of tar and CO, respectively, for 100- millimeter filtered and mentholated cigarettes. A sample of 12 brands yielded the following data:

               

(a) Calculate the least squares regression line for these data.

(b) Plot the points and the least squares regression line on the same graph.

(c) Find point estimates for \(\alpha, \beta\), and \(\sigma^2\).

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