Utilization of sucrose as a carbon source for the production of chemicals is uneconomical. Beet molasses is

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Utilization of sucrose as a carbon source for the production of chemicals is uneconomical. Beet molasses is a readily available and low-priced substitute. The article “Optimization of the Production of b-Carotene from Molasses by Blakeslea Trispora (J. of Chem. Tech. and Biotech. 2002: 933–943) carried out a multiple regression analysis to relate the dependent variable of b-carotene (g/dm3

) to the three predictors amount of lineolic acid, amount of kerosene, and amount of antioxidant (all g/dm3

).

a. Fitting the complete second-order model in the three predictors resulted in and adjusted , whereas fitting the first-order model gave .
What would you conclude about the two models?
R2 5 .0

b. For , a statistical software package reported that , based on the complete second-order model. Predict the amount of b-carotene that would result from a single experimental run with the designated values of the independent variables, and do so in a way that conveys information about precision and reliability.

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