Order of approximation: Difference between revisions

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: <math>y \sim x + 2.67.</math>
 
One should be careful though, because the multiplicative function will be defined for the whole interval. If only three data points are available, one has no knowledge about the rest of the [[Interval (mathematics)|interval]], which may be a large part of it. This means that ''y'' could have another component which equals 0 at the ends and in the middle of the interval. A number of functions having this property are known, for example ''y'' = sin π''x''. [[Taylor series]] isare useful and helpshelp predict an [[Closed-form expression|analytic solutionsolutions]], but the approximationapproximations alone doesdo not provide conclusive evidence.
 
===First-order===