1.

2.

Click the plus sign next to Model (x) in the Columns panel.

3.

The parameter values in the formula element panel (VMax = 1 and k = 1) are your initial guesses. They are used to compute the Model (x) values in the data table. For your next experiment, you want to replace these with better estimates.
4.

Click Cancel to close the formula editor window.

5.

Select Analyze > Specialized Modeling > Nonlinear.

6.

7.

Notice that the formula given by Model (x) appears in the Options for fitting custom formulas panel.
8.

Click OK.

9.

10.

In the Control Panel, click Confidence Limits.

The Lower CL and Upper CL values for VMax and k define ranges of values for these parameters. Next, use these intervals to define a range for the prior values in your augmented nonlinear design.
1.

2.

3.

4.

Click OK.

In the Chemical Kinetics.jmp data, the values for Concentration range from 0.417 to 6.25. Therefore, these values initially appear as the low and high values in the Factors outline. You want to change these values to encompass a broader interval.
The range of Values for the parameters reflects the uncertainty of your knowledge about them. You should specify a range that you think covers 95% of possible parameter values. The confidence limits from the Nonlinear Fit report shown in Nonlinear Fit Results provide such a range. Replace the Values for the parameters in the Parameters outline with the confidence limits, rounding to three decimal places.
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VMax: 0.568 and 3.158

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k: 6.858 and 45.830

8.

Enter 40 for the Number of Runs in the Design Generation panel.

9.

Click Make Design.

The Design outline opens, showing the Concentration and Velocity (y) values for the original 13 runs and new Concentration settings for the additional 27 runs.
10.

Click Make Table.

The new runs reflect the broader interval of Concentration values and the range of values for VMax and k obtained from the original experiment, which are used to define the prior distribution. Both should lead to more precise estimates of k and Vmax.