Course Solutions Uncategorized Given Following Data Relates Oxygen Concentration Mg L 05 08 15 25 4 Growth Rate Bacteria Q34191834

Given Following Data Relates Oxygen Concentration Mg L 05 08 15 25 4 Growth Rate Bacteria Q34191834

Given The following data relates

Oxygen concentration (mg/L)

0.5

0.8

1.5

2.5

4

Growth Rate (# bacteria/day)

1.1

2.4

5.3

7.6

8.9

Find the best fit parameters in least squaresense

  1. Use linear model equation

                   y=a*x + b

  1. Use power equation model

                   y=α1*xβ1

  1. Use the exponential equation

                                           y=α2*exp(β2*x)

  1. Use the inverse equation model

                                           y= α3*x2 / (β3 +x2)

Which model fits better (explain).

Expert Answer


1. Linear model

D14 fx AVERAGE(D7:D11) 1 Linear model a= 2.220 0.931 4 OxygenGrowth Rate concentration | (# bacteria / | Forecast 6 | MSE (mg/L) 0.5 0.8 1.5 2.5 4 1.1 2.4 5.3 7.6 8.9 2.041 2.707 4.261 6.481 9.810 0.89 0.09 1.08 1.25 0.83 10 12 13 MSE = 0.83 15 16 17 18 19 20

FORMULAS:

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2.

OR

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