Measurements of the fuel efficiency of a car F E at various speeds v are shown i
ID: 3633362 • Letter: M
Question
Measurements of the fuel efficiency of a car FE at various speeds v are shown in the table.
v(mi/h) 5 15 25 35 45 55 65 75
FE(MPG) 11 22 28 29.5 30 30 27 23
a. Curve-fit the data with a second-order polynomial. Use the polynomial to estimate the fuel efficiency at 60mi/h. Make a plot of the points and the polynomial.
b. Curve-fir the data with a third-order polynomial. Usethe polynomial to estimate the fuel efficiency at 60mi/h. Make a plot of the points and the polynomial.
c. Fit the data with linear and spline interpolations. Estimate the fuel efficiency at 60mi/h with linear and spline interpolations. Make a plot that shows the data points and curves made of interpolated points.
Use subplots to plot each part in a single window (four plots total). Include a title with your plots, but don't worry about labelling the axes or including a legend. Print the MPG estimation for each part to the command window
Explanation / Answer
They said second order polynomial. That is a quadratic equation. y = ax^2 + bx + c you have to find a, b and c. x is speed (V) y is fuel efficiency (Fe) Can you use built-in functions polyfit and polyval? Can you use the curve fitting tools available in figure windows in Matlab?