Refer to the table of data given in Exercise 1 and use the amounts of nicotine and carbon monoxide (CO).

a. Construct a scatterplot using nicotine for the x scale, or horizontal axis. What does the scatterplot suggest about a linear correlation between amounts of nicotine and carbon monoxide?
b. Find the value of the linear correlation coefficient and determine whether there is sufficient evidence to support a claim of a linear correlation between amounts of nicotine and carbon monoxide.
c. Letting y represent the amount of carbon monoxide and letting x represent the amount of nicotine, find the regression equation.
d. The Raleigh brand king-size cigarette is not included in the table, and it has 1.3 mg of nicotine. 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?

Data From Exercise 1:

The table below lists measured amounts (mg) of tar, carbon monoxide (CO), and nicotine in king-size cigarettes of different brands (from Data Set 13 "Cigarette Contents” in Appendix B).

Data Set 13: Cigarette Contents

Data are from 75 cigarettes (first five rows shown here) from three categories: KING includes king-sized cigarettes that are nonfiltered, nonmenthol, and nonlight; MENTH includes menthol cigarettes that are 100 mm long, filtered, and nonlight; and 100 includes 100-mm-long cigarettes that are filtered, nonmenthol, and nonlight. TAR is the amount of tar per cigarette (milligrams), NICOTINE is the amount of nicotine per cigarette (milligrams), and CO is the amount of carbon monoxide per cigarette (milligrams). Data are from the Federal Trade Commission.