Editing 2048: Curve-Fitting
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===LOESS=== | ===LOESS=== | ||
− | A {{w|Local regression|LOESS fit}} doesn't use a single formula to fit all the data, but approximates data points locally using different polynomials for each "zone" (weighting data points | + | A {{w|Local regression|LOESS fit}} doesn't use a single formula to fit all the data, but approximates data points locally using different polynomials for each "zone" (weighting differently data points as they get further from it) and patching them together. As it has much more degrees of freedom compared to a single polynomial, it generally "fits better" to any data set, although it is generally impossible to derive any strong, "clean" mathematical correlation from it - it is just a nice smooth line that approximates well the data points, with a good degree of rejection from outliers. |
− | The comment below the graph ''"I'm sophisticated, not like those bumbling polynomial people."'' emphasises this more complicated interpretation | + | The comment below the graph ''"I'm sophisticated, not like those bumbling polynomial people."'' emphasises this more complicated interpretation but without a simple mathematical description it's not very helpful to find academic descriptions on the underlying matter. |
===Linear, No Slope=== | ===Linear, No Slope=== |