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Curve Fitting Simulation

STEM PD Grant Stephanie Sorensen Monterey High School http://phet.colorado.edu/sims/curve-fitting/curve-fitting_en.html. Curve Fitting Simulation. Problem Statement.

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Curve Fitting Simulation

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  1. STEM PD Grant Stephanie Sorensen Monterey High School http://phet.colorado.edu/sims/curve-fitting/curve-fitting_en.html Curve Fitting Simulation

  2. Problem Statement • What is the ideal number of data points for each linear, quadratic, cubic, and quartic that you can have and still have a correlation coefficient of 1?

  3. Solution • Linear : 2 points • Quadratic : 3 points • Cubic : 4 points • Quartic : 5 points • Essentially one more than the degree of the regression

  4. Suggestions • Students play around with adding and removing points to see how r2 and equation are affected • If app is set to bet fit quartic, the equation will always show the lowest degree

  5. Extension • How do the deviations assist in finding the best fit? • What are the deviations when r2 = 1? • What happens to r2/deviations as more than the ideal number of data points are added? • What happens to the coefficients A, B, C, D, and E if you add points below the x axis? Or only to the right of the y-axis?

  6. Linear – 2 points

  7. Quadratic – 3 points

  8. Cubic – 4 points

  9. Quartic – 5 points

  10. 6 points…

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