STEM PD Grant Stephanie Sorensen Monterey High School .
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Transcript of STEM PD Grant Stephanie Sorensen Monterey High School .
CURVE FITTING SIMULATIONSTEM PD Grant
Stephanie Sorensen
Monterey High School
http://phet.colorado.edu/sims/curve-fitting/curve-fitting_en.html
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?
Solution
Linear : 2 points Quadratic : 3 points Cubic : 4 points Quartic : 5 points Essentially one more than the degree of
the regression
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
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?
Linear – 2 points
Quadratic – 3 points
Cubic – 4 points
Quartic – 5 points
6 points…