A mass flow sensor measures the mass of air into an engine resulting in the following data. Mass is in [kg/min], output in [V]: M [kg/min] Output [V] M [kg/min] Output [V] M [kg/min] Output [V] 0 0.014 0.4 0.105 0.63 0.299 1.658 3.305 6.645 9.977 12.409 0.83 1.327 1.924 2.341 2.599 (c) (d) 14.18 14.695 15.835 17.282 19.14 20.225 21.849 25.458 2.743 2.8 2.872 3 3.12 235 3.2 3.3 3.5 29,628 34.48 40.153 43.354 50.58 59.11 69.167 81.014 3.7 3.9 4.1 4.2 4.4 4.6 4.8 5 (a) Find a linear best-fit curve to the data. Plot the original data and the linear best-fit curves. Calculate the maximum nonlinearity of the data. Find a parabolic best-fit curve to the data. Calculate the maximum deviation of the parabolic best-fit from the data and the maximum deviation of the parabolic best-fit curve from the linear best-fit curve calculated in (a). (b) Calculate the sensitivity of the sensor using the linear-best fit in (a). Calculate the sensitivity of the sensor using the parabolic best-fit in (b). Compare with (c).