Measurements of the fuel efficiency of a car FE at various speeds v are shownin the
Chapter 8, Problem 28(choose chapter or problem)
Measurements of the fuel efficiency of a car FE at various speeds v are shownin the table.v (milh) 5 15 25 35 45 55 65 75FE(mpg) 11 22 28 29.5 30 30 27 23(a) Curve-fit the data with a second-order polynomial. Use the polynomial toestimate the fuel efficiency at 60 milh. Make a plot of the points and the polynomial.(b) Curve-fit the data with a third-order polynomial. Use the polynomial toestimate the fuel efficiency at 60 milh. Make a plot of the points and the polynomial.(c) Fit the data with linear and spline interpolations. Estimate the fuel efficiencyat 60 milh with linear and spline interpolations. Make a plot that showsthe data points and curves made of interpolated points.
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