I'm not sure how to find a linear equation for this problem.
One common flow measurement device is the orifice meter, which consists of a disk with a machined hole. It is placed as an obstruction to flow in a pipe, causing pressure drop to occur as the fluid in the pipe goes through the hole. The pressure drop is related to the flow rate, but the relationship is nonlinear, with pressure drop proportional to the flow rate squared.
(a)Using the data below to find a linear equation relating Q and square root of delta P. Use the equation to predict the pressure drop at a flow rate of 15 ft3/min. Since the pressure drop depends upon the flow rate in the pipe and not vice versa, square root of delta P should be the dependent variable (y values) and Q the independent variable (x values).
Q (ft3/min) : 3.9, 7.9, 11.8, 15.7, 19.6, 23.6, 27.5, 31.4, 35.3, 39.3
Delta P (psi): 0.13, 0.52, 1.18, 2.09, 3.27, 4.71, 6.41, 8.37, 10.59, 13.08
please help confused