Chapter 4.6, Problem 8E

8. The unemployment rate and the amount of emergency food assistance (food made available to hunger relief organizations such as food banks and soup kitchens) provided by the federal government in the United States in certain years are given in Figure $4.141$.

Year	Unemployment Rate	Emergency Food Assistance (in millions)
$2006$	$4.6$	$300$
$2007$	$4.6$	$256$
$2008$	$5.8$	$283$
$2009$	$9.3$	$617$
$2010$	$9.6$	$631$
$2011$	$8.9$	$531$

Figure $4.141$ Unemployment rate and the amount of emergency food assistance

Sources: Bureau of Labor Statistics (U.S. Department of Labor); Food and Nutrition Services (U.S. Department of Agriculture)

a. Letting $x=$ the unemployment rate and $y=$ the amount of emergency food assistance, plot the data. Do the ordered pairs exhibit a linear trend?

b. Find the line of best fit.

c. Predict the amount of emergency food assistance when the unemployment rate is $7.0\%$.

d. Predict the unemployment rate when the amount of emergency food assistance is $\$350$ million.

e. Find the coefficient of linear correlation.

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