Measurements of the fuel efficiency of a car FE at various speeds v are shown in the table.

(a) Curve-fit the data with a second-order polynomial. Use the polynomial to estimate the fuel efficiency at 60 mi/h. Make a plot of the points and the polynomial.
(b) Curve-fit the data with a third-order polynomial. Use the polynomial to estimate the fuel efficiency at 60 mi/h. Make a plot of the points and the polynomial.
(c) Fit the data with linear and spline interpolations. Estimate the fuel efficiency at 60 mi/h with linear and spline interpolations. Make a plot that shows the data points and curves made of interpolated points.

Transcribed Image Text:

25 35 v (mih)55 4555 FE (mpg) | 11 | 22 | 28 20-20 75 29.5 30 30 27 23