1. L14 Curve Fitting Homework Curve Fitting – least squares
Curve Fitting - optimization
Summary

2. H13 prob 6.5 Beware: some problems don’t need solving!
f(x)=0, when x=0!

3. H13 Prob 6.9

4. Prob 6.9 RJE sol’n

5. Prob 3.33
Why is this formulation better?

6. Prob 3.33 cont’d

8. Report #1

9. Report #2

10. Worksheet Modifications
Naming cells
Inserting shapes
Inserting MS Equation “object”
Recording macros
Attaching a macro to a shape
Creating a SOLVER hot button
Visual basic, tools/references/solver

11. Figure 6.13 Excel worksheet for the spring design problem.

12. Curve fitting

13. Minimize sum of all errors?

14. NC for Unconstrained z(a,b)

15. Straight Line Least Squares
All numbers
Mathematical method that works for straight lines!
Another way? Especially for non-linear curve fits?

16. Types of curves Need to find the parameters ai
Another way? Especially for non-linear curve fits?

17. Use Excel & Solver (Garnero)?

19. Curve Fit example

20. Summary Pay attention to layout May need multiple starting points
Design variables
Parameters
Analysis/Performance “Variables”
Objective function
Constraints
May need multiple starting points
Curve fitting w/optimization methods = min sum of errors to find parameters ai