The article “Optimization of Medium Composition for Lipase Production by Candida rugosa NCIM 3462 Using Response Surface Methodology” (A. Ragendran and V. Thangavelu, Canadian Journal of Microbiology, 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 ????mol 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 ????0 and ????1.

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 is less than 4.4 when the cell mass is 5.0 g/L? Explain.