What preposition to use when fitting data?

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Please could some real experts give an opinion on this question on English.SE: What preposition to use when fitting data?

Do we fit data with, by, or as a linear function?


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One does no such thing. One fits a linear function to data, not the other way around. Unless of course one is inventing "data" that will nearly fit a preconceived pattern, a practice not entirely unknown in Science.