3. Cigarette Tar and Carbon Monoxide Refer to the table of data given in Exercise 1 and use the amounts of tar and carbon monoxide.

a. Construct a scatterplot using the horizontal scale to represent the amount of tar. What does the scatterplot suggest?

b. Does the scatterplot show eight points corresponding to the eight pairs of sample data? If not, why not?

c. Find the value of the linear correlation coefficient and determine whether there is sufficient evidence to support a claim of a linear correlation between amount of tar and amount of carbon monoxide.

d. Letting y represent amount of carbon monoxide and letting x represent amount of tar, find the regression equation.

e. The Raleigh brand king size cigarette is not included in the table, and it has 23 mg of tar.

What is the best predicted amount of carbon monoxide? How does the predicted amount compare to the actual amount of 15 mg of carbon monoxide?