An experiment is designed to investigate the relation between the pressure and temperature in a tank that has a constant volume
and mass. (The equation of state for air is pV=m R T, where p is the pressure, V is volume, m is mass, R is the gas constant, and T is the temperature.) A polynomial relation was suggested for the relation between p and T. You noticed that as you increase the order of the polynomial the error between the curve fit and the measured data decreases. What polynomial order is best to use
Given that the increase in the order of the polynomial the error between the curve fit and measured data will decreases hence :
The polynomial order that is best to use is the 3rd order polynomial, this is because using a 3rd order polynomial will produce a less variance and a low Bias
