Chapter 7.3, Problem 33E

Modeling labor force data. In Exercise 35 from Section 7.2,

we modeled the size of the U.S. labor force with the equation $n=1.81t+145.66$, which represented the line of best fit for the data points $(0, 146), (1, 147), (2, 149.2), and (3, 151.3).$ The parabola of best fit for these same four data points is given by $n=0.275t^2+0.985t+145.935$.

a. Add a line to the table that you began in Exercise 35 from

Section 7.2 as follows:

	2003 (year 0)	2004 (year 1)	2005 (year 2)	2006 (year 3)	2009 (year 6)
Actual Data	146	147	149.2	151.3	154.1
Values predicted by your model	146	147.77	149.54	151.31	156.62
Values predicted by the line of best fit	145.66	147.47	149.28	151.09	156.52
Values predicted by parabola of best fit	145.935

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