Question

2. An investigator has reported the data tabulated below for an experiment to determine the growth rate of bacteria k (per day) as a function of ox ygen concentration c (mg/L). It is known that such data can be modeled by the following equation: Where es and kmax are parameters 0.5 1.1 0.8 2.5 1.5 5.3 2.5 7.6 8.9 a) Use a transformation to linearize this equation. b) Then write a function m file using linear regression to estimate cs and kmax. Use the matrix formulation to calculate coefficients a0 and al of the straight line c) Predict the growth rate at c2 mg/L Hint: You can try taking the inverse of the equation!

Can you make matlab solve it?

Answer 1

wtx-c and y-k By Lagrange method y (x-o.5)x-1.5)(x-2(x-4) 1.1(x-o.5x-1.5Xx-2(x-4) (0.5-0.8 0.5-1.5)00.5-2)00.5-4) 0.3*-0.7*0.7*-3.0 x-0.5x-0.8x-2.5Xx-4) *5.3 +(x-0.5x0.8x-1.5Xx4) *7.6 2.0*0.7 2.0*2.5 (x-0.5)x-0.8x1.5)x-2.5) *8.9 2.0*1·79).1 *1.5 3.5 3.2*2.5*8.5 y-(x-0.8xx-25)%x-4)- k-0.5Xx-15x-2.5)xx-4) *2.4 1.1424 2.1 + x(0.5)(&O.8XX-2.5%-4 ) *5.3 (x-0.5)(x-0.8)(x-1.5)(x-4)*7.6 + (x-0.5)(x-0.8)(x-1.5) .25 5.1 42