) The Mystical River’s water flow rate on a particular day is shown in the table below. The time is measured in hours and the water flow rate is measured in cubic feet per second

Ch14Ex20.m

% Plot the water flow rate for the Mystical River one day

% Fit polynomials of order 3 and 4 through the points and plot

time = 0:3:24;

flows = [800 980 1090 1520 1920 1670 1440 1380 1300];

subplot(1,2,1)

curve = polyfit(time,flows,3);

y3 = polyval(curve,time);

plot(time,flows,'ko',time,y3)

xlabel('Time')

ylabel('Flow rate')

title('Order 3 polynomial')

subplot(1,2,2)

curve = polyfit(time,flows,4);

y4 = polyval(curve,time);

plot(time,flows,'ko',time,y4)

xlabel('Time')

ylabel('Flow rate')

title('Order 4 polynomial')