Project 8.2

This project involves determining the best t polynomial approximating curve to the (H vs. Q) data obtained from a pump manufacturers catalog (units changed to SI units). e data points of the (H vs. Q) curve are shown in Table P8.2.

Table P8.2 H vs. Q Data from the Pump Manufacturer

Q	H		Q	H
(m3/h)	(m)		(m3/h)	(m)
3.3	43.3		61.6	40.8
6.9	43.4		68.5	39.6
13.7	43.6		75.3	38.7
20.5	43.6		82.2	37.2
27.4	43.3		89.0	36.3
34.2	43.0		95.8	34.4
41.1	42.7		102.7	32.6

PLEASE DO NOT USE THE SOLUTION POSTED ON CHEGG

Try degree polynomials of 2 through 4 to determine which degree polynomial will give the smallest mse. Use MATLABs function poly t, which returns the coef- cients for each of the three polynomials. en use MATLABs function polyval to create for each polynomial:

(a) A table containing Q, Hc, and H, where Hc is the approximating curve for H vs. Q.

(b) A plot of Hc vs.Q(solidline) and H vs. Q(smallcircles), all plots on the same page.

PLEASE DO NOT USE THE SOLUTION POSTED ON CHEGG