Use MATLAB to

(1) Graph the set of points given in the form (year, gasoline price). Use t = 0 for 1995.

year	price (cents/gal)
1995	126.4
1996	115.5
1997	122.7
1998	130.1
1999	113.8
2000	137.0
2001	162.9
2002	110.0
2003	157.7
2004	161.7
2005	198.2

 

(2) Find the linear, cubic, and fifth order polynomials that model the data.

(3) Graph the linear, cubic and fith order polynomials on the same graph as the data points. Use different colors for the different graphs.

(4) Find the value predicted by each of the three models for the year 2006.

(5) Based on current prices, which model is most accurate? Explain.

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