Below is pressure measured at different time
Time (s) Pressure (psi)
1 26.1
2 27.0
3 28.2
4 29.0
5 29.8
6 30.6
7 31.1
8 31.3
9 31.0
10 30.5
(1) Plot the first order polynomial second order polynomian and third order polynomia to these data. Plot both data points (with'o') and function line ('-') on the same plot. Keep the three plots on the same plot. (use subplot).
(2) Calculate the sum of squared residuals of each plot (J number). Also plot the residual of each plot. Based on the solution choose which polynomial is the best choice (1st, 2nd, or 3rd order)?
(3) Write down this polynomial.