The article Optimization of Medium Composition for Lipase Production by Candida rugosa NCIM 3462 Using Response Surface

The article €œOptimization of Medium Composition for Lipase Production by Candida rugosa NCIM 3462 Using Response Surface Methodology€ (A. Ragendran and V. Thangavelu, Can J. Microbiol, 2007:643€“655) describes a series of experiments in which lipase was produced from a bacterial culture. In each experiment, the rate of lipase production (in μmol per ml enzyme per minute) and the cell mass (in g/L) were measured. The results are presented in the following table.

a. Compute the least-squares line for predicting lipase production from cell mass.

b. Compute 95% confidence intervals for β₀ and β₁.

c. In two experiments, the cell masses differed by 1.5 g/L. By how much do you estimate that their lipase productions will differ?

d. Find a 95% confidence interval for the mean lipase production when the cell mass is 5.0 g/L. 

e. Can you conclude that the mean lipase production when the cell mass is 5.0 g/L is less than 4.4? Explain.

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Lipase Lipase Cell mass Cell mass Cell mass Cell mass Lipase (y) Lipase (y) (x) (y) (x) (x) (x) (y) 3.75 3.98 4.72 4.50 2.06 2.10 3.65 4.23 2.20 4.15 4.30 2.10 3.15 4.10 2.75 2.30 2.40 4.75 3.15 4.68 3.15 5.40 3.41 2.80 4.10 5.03 4.90 5.23 5.10 4.60 2.50 5.04 4.96 5.45 4.80 2.20 3.20 2.85 4.20 3.60 4.95 3.25 4.19 5.40 4.85 4.12 4.10 4.40 3.92 3.90 5.00 4.00 2.15 3.20 5.10 4.94 4.92 4.98 4.41 4.50 4.40 4.40 3.50 2.10