The following represents pressure samples, in pounds per square inch (psi), taken in a fuel line once every second for 10 sec.

a. Fit a first-degree polynomial, a second-degree polynomial, and a third-degree polynomial to these data. Plot the curve ts along with the data points.

b. Use the results from part a to predict the pressure at t = 11 sec. Explain which curve t gives the most reliable prediction. Consider the coefficients of determination and the residuals for each t in making your decision.

Time (sec) Pressure (psi) Time (sec) Pressure (psi) 26.1 27.0 1 6. 30.6 2 7 31.1 3 28.2 8 31.3 4 29.0 9 31.0 29.8 10 30.5