5. During the current decade, the amount of money each American spends annually on
prescription drugs (in addition to other amounts paid by insurance) is projected to
increase, as shown in this table

Year 2000 2002 2004 2006 2008 2010
Amount 143 175 207 231 287 351

(a) Find a linear model (using linear regression) for this data, with x = 0 correspond-
ing to 2000.
(b) Use the model to estimate the amount each person will spend on prescription
drugs in the years 2005, 2007, and 2011.
(c) According to this model, in what year will each American spend $400 on prescrip-
tion drugs?

(a) Plot your graph and make the line of regression either using your calculator or finding the mean of both sets of data to get a second point other than (0, 2000).

(b) & (c) use the graph you got for those.