Data fitting programmingMath 371

Can we do better?

.

x

c*x-r

Use these estimated parameters to run the solution of the model

(the initial point is the first data point in the data table)

and compare with data points

I use ode23 here, you can useode45 to obtain the same solution

The solution fits data reasonably well but not very well. Do we have

a better method for parameter estimation and data fitting?

The solution fits data reasonably well but not very well. Do we have

a better method for parameter estimation and data fitting?

YES!

Direct Method

Least-square data fitting

Revisit L-V predator-prey model

Use the least-square method to fit data and estimate parameter values directly

You can use ode45 orother ODE solvers; usehelp files to check theirdifferences

Almost perfect data fitting!

abcr