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. The nisin recovery was the dependent variable (y). The two regressor variables were concentration (%) of PEG 4000 (x1) and concentration (%) of Na2S04 (x2): ... X1 X2 Y 1 13 11 62.8739 2 15 11 76.1328 3 13 13 87.4667 4 15 13 102.3236 5 14 12 76.1872 14 12 77.5287 7 14 12 76.7824 8 14 12 77.4381 9. 14 12 78.7417 Form the Multiple Regression Model using Matrices. Y = Blank 1+ Blank 2 X1 + Blank 3 X2

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