“Least Squares Fitting--Exponential”的概念、定义、习题解题方法及翻译-数学辞典

单词

Least Squares Fitting--Exponential

释义

Least Squares Fitting--Exponential

To fit a functional form

(1)

take the Logarithm of both sides

(2)

The best-fit values are then

			(3)
			(4)

where

and

This fit gives greater weights to small values so, in order to weight the points equally, it is often better tominimize the function

(5)

Applying Least Squares Fitting gives

(6)

(7)

(8)

Solving for

and

			(9)
			(10)

In the plot above, the short-dashed curve is the fit computed from (3) and (4) and the long-dashed curveis the fit computed from (9) and (10).

See also Least Squares Fitting, Least Squares Fitting--Logarithmic, Least Squares Fitting--Power Law

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