An article in Biotechnology Progress (2001, Vol 17, pp 366368) reported on an experiment to investigate and optimize nisin extraction in aqueous two phase systems (ATPS) The nisin recovery was the dependent variable (y) The two regressor variables were concentration ( ) of PEG 4000 (denoted as x 1 and concentration ( ) of Na2SO4 (denoted as x 2 ) The data are in Table E12 10 (a) Fit a multiple linear regression model to these data (b) Estimate Iuml 2 and the standard errors of the regression coefficients (c) Use the model to predict the nisin recovery when x 1 14 5 and x 2 12 5 y X1 X2 62 8739 13 11 11 15 76 1328 13 13 87 4667 15 13 102 3236 76 1872 14 12 77 5287 14 12 14 12 76 7824 14 12 77 4381 12 14 78 7417

Question: An article in Biotechnology Progress (2001, Vol. 17, pp. 366368) reported on an experiment to investigate and optimize nisin extraction in aqueous two-phase systems (ATPS).

An article in Biotechnology Progress (2001, Vol. 17, pp. 366€“368) reported on an experiment to investigate and optimize nisin extraction in aqueous two-phase systems (ATPS). The nisin recovery was the dependent variable (y). The two regressor variables were concentration (%) of PEG 4000 (denoted as x₁and concentration (%) of Na2SO4 (denoted as x₂). The data are in Table E12-10.

y X1 X2 62.8739 13 11 11 15 76.1328 13 13 87.4667 15 13 102.3236 76.1872 14 12 77.5287 14 12 14 12 76.7824 14 12 77.4381

(a) Fit a multiple linear regression model to these data.

(b) Estimate Ïƒ² and the standard errors of the regression coefficients.

y X1 X2 62.8739 13 11 11 15 76.1328 13 13 87.4667 15 13 102.3236 76.1872 14 12 77.5287 14 12 14 12 76.7824 14 12 77.4381 12 14 78.7417

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