Posted by Sarah on Tuesday, December 25, 2012 at 3:46pm.
How do you find the best and simplest model given a table of data? I know how to find a specific regression (linear, cubic ect...) but i'm lost when it comes to choosing the best one.

CalculusRegressions  Damon, Tuesday, December 25, 2012 at 6:50pm
It depends what you mean by best.
If you have n discrete points, you can always make a polynomial curve go though every single point by using order n1.( Two points  straight line order 1, Three points  parabola order two, Four points  cubic, order three etc.) That is probably not what you want in a real world problem with many points because the higher the order the bumpier the curve (straight line  constant direction, parabola first up then down, cubic up down  up etc). In other words you need to choose your model based on what is appropriate for the type of problem you are working.
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