Chapter 7.3, Problem 34E

Modeling foreign travel expenditures. In Exercise 36 from Section 7.2 , we modeled the amount spent on foreign travel by U.S. residents with the equation $n=6.56t+78.66$, which represented the line of best fit for the data points $(0, 81.8), (1, 80.5), (2, 91.8), and (3, 99.9).$ The parabola of best fit for these same four data points is given by $n=2.35t^2-0.49t+81.01$.

a. Add a line to the table that you began in Exercise 36 from

Section 7.2 as follows:

	2002 (year 0)	2003 (year 1)	2004 (year 2)	2005 (year 3)	2009 (year 7)
Actual Data	81.8	80.5	91.8	99.9	105.4
Values predicted by your model	81.8	87.83	93.86	99.89	124.01
Values predicted by the line of best fit	78.66	85.22	91.78	98.34	124.58
Values predicted by parabola of best fit	81.01

b. Does the line of best fit or the parabola of best fit seem to model the data better? Explain your answer.