Question

Question 2 (36 points): A multiple linear regression analysis is performed and the following MINITAB output is observed: Regression Analysis: Fuel cell power versus H2 pressure and He flow The Regression Equation is Fuel cell power (W) = 2705.235 1.0745*H3 pressure (psi) + 3.2319"Ha flow Coef T-Value Term Constant Ha pressure (psi) Ha flow (ates) SE Coef 334.44 9.09 2.18 MS F-Value Analysis of Variance Source DE Regression Error Total 27 99 3231.9 7751.78 Answer to the following questions based on the Minitab output. a) What is the multiple linear regression model? (3 points) b) Write the fitted regression equation of this multiple linear regression. (3 points) c) Fill the missing parts of the Minitab output (12 points) d) What conclusion can you draw about the regressor variable H, flow (stoc) with a significance level of 0.05? Does it seem likely that this regressor contributes significantly to the model? (9 points) e Estimate the fuel cell power when H2 pressure and H, flow readings are 2500 psi and 5, respectively. (3 points) fCalculate coefficient of determination. Interpret it in the context of the problem. (6 points)

Answer 1

the relationship (b) multiple linear regression model :- Multiple linear regression model is a statistic technique Chich is used to model between one feste dependent re. outcome wariable and several two or more) independant variable by fitting the data set into linear equations. fitted regression oquation : - fuel cell power (W)=2705, 235 –1, 0745 *H2 pressure Cpsi + 3.2319 * H2 flow Missing part: Sif coeff. constant (po) 2705.235 8.08885 Ha pressure psib) -1.0745 g.og -0.1182068 1.482523 Tein coeff - T calue 334.44 He flow (82) 3.2319 2.18 ANOVA Source Regression Error Total D.F 2 Mos 1615.95 Fealue 8.938014 25 SS 32 31.9 4 519.88 7751.78 180.9952 27 (do If we calculate P-value for Haflagit is 0.37779 (47005 Ho: B2 = 0, The result is : NOT SIGNIFICANT Cat po franc from (6), fuel cell power = 2705:235-4.0745*2500 +3.231g xs Estimated fuel cell powerciow) is Coeff of determinatim: SS Reg 41.69C coariation in the fuel cell power is exeplained by 0.4169 236 REDMI NOTE Del. AI QUAD CAMERA