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L14 Curve Fitting. Homework Curve Fitting – least squares Curve Fitting - optimization Summary. H13 prob 6.5. Beware: some problems don’t need solving! f ( x )=0, when x = 0!. H13 Prob 6.9. Prob 6.9 RJE sol’n. Prob 3.33. Why is this formulation better?. Prob 3.33 cont’d. Report #1.

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## L14 Curve Fitting

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**L14 Curve Fitting**• Homework • Curve Fitting – least squares • Curve Fitting - optimization • Summary**H13 prob 6.5**Beware: some problems don’t need solving! f(x)=0, when x=0!**Prob 3.33**Why is this formulation better?**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**Straight Line Least Squares**All numbers Mathematical method that works for straight lines! Another way? Especially for non-linear curve fits?**Types of curves**Need to find the parameters ai Another way? Especially for non-linear curve fits?**Summary**• Pay attention to layout • 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

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