Class Research Project A mechanical engineering study indicates that the fluid flow through a pipe is related to a pipe diameter and slope. Use multiple linear regression to analyze these data (Table 1). Q= ao D SP Where, an, and are constants. Then, use the resulting model (after linearizing) to predict the flow for a pipe with a diameter of 2.5 ft and a slope of 0.025 n/f. Plot i. Plot Q vs Slope and diameter (combined). ii. Plot Q vs. diameter iii. Plot Q vs. slope iv. For cases ii and iii, fit appropriate regression equation (linear and second degree polynomial equation). Also, perform validity test. Table 1 Experimental data for diameter, slope and flow of concrete circular pipes (for 9 Experiments) Experiment Diameter, ft Slope, ft/ft Flow, ft/s 1 1 0.001 1.4 2 2 0.001 8.3 3 3 0.001 4 1 0.01 4.7 2 0,01 99% 24.2 28.9 6 3 0.01 84.0 7 1 0.05 11.1 8 2 0.05 69.0 9 3 0.05 200.0