Fitting Primes to a Linear Model

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The first n prime numbers can be roughly approximated by a linear function of their index i. That is, the prime is close to a+b i for some constants a and b. This Demonstration fits the first n primes to a linear function and displays the Cook's distances and residuals for each point. Larger Cook's distances indicate greater influence or leverage of the associated point on the fitting. For the primes, points near the ends of the range have larger residuals and greater influence on the overall fit.

Contributed by: Darren Glosemeyer (March 2011)
Open content licensed under CC BY-NC-SA



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