Response Surface Designs Q.1. A response surface was fit relating 3 factors (oil/ethanol ratio, catalyst amount (KOH), and reaction time) to mass yield of biodiesel fuel, using a central composite design. The data and regression results are given below (the analysis was based on coded values with axial points at 1.68). The model fit is: ± p.1.a. Give the fitted value when (the original units of) oil/ethanol ratio is 11, KOH catalyst is 1.75, and reaction time is 90. p.1.b. Make use of the 4 center points to compute SS(Pure Error) and SS(Lack-of-Fit), and test for lack of fit, where: Test Statistic: ___________________ Conclude the model does not fit if the test statistic is in the range ______________ p.1.c. What values of the 3 factors (in their original units) will maximize the yield? Note:
Response Surface Designs Q.1. A response surface was fit relating 3 factors (oil/ethanol ratio, catalyst amount (KOH), and reaction time) to mass yield of biodiesel fuel, using a central composite design. The data and regression results are given below (the analysis was based on coded values with axial points at ± 1.68). The model fit is: p.1.a. Give the fitted value when (the original units of) oil/ethanol ratio is 11, KOH catalyst is 1.75, and reaction time is 90. p.1.b. Make use of the 4 center points to compute SS(Pure Error) and SS(Lack-of-Fit), and test for lack of fit, where: Test Statistic: ___________________ Conclude the model does not fit if the test statistic is in the range ______________ p.1.c. What values of the 3 factors (in their original units) will maximize the yield? Note: