Chapter 4.6, Problem 11E

The amounts of rice and tobacco grown in the United States are given in Figure 4.144.

Year	Rice(million tons)	Tobacco(million tons)
$1990$	$7.8$	$0.81$
$1995$	$8.69$	$0.63$
$2000$	$9.54$	$0.53$
$2005$	$11.16$	$0.32$
$2010$	$12.16$	$0.36$

Figure $4.144$ Amount of rice and tobacco grown in the United States.

Source: U.S. Dept. of Agriculture

a. Letting $x=$ the amount of rice and $y=$ the amount of tobacco, plot the data. Do the data exhibit a linear trend?

b. Find the line of best fit.

c. Predict the amount of tobacco grown if $10$ million tons of rice is grown.

d. Predict the amount of rice grown if $0.75$ million tons of tobacco is grown.

e. Find the coefficient of linear correlation.

f. Are the predictions in parts (c) and (d) reliable? Why or why not?