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The phrase "exponential fit" is correct and usable in written English.
You can use it when referring to a mathematical or statistical model that is made up of an exponential function (or functions), usually used to approximate some observed data points. For example: "The observed data was best approximated by an exponential fit with two exponential terms."
Exact(51)
As the residence time is an exponentially decaying process, an exponential fit was applied and is given in the green curve.
Lines represent single exponential fit.
The best exponential fit is shown.
An exponential fit models well the decay.
Solid line represents the exponential fit to the data.
The solid line is an exponential fit to the data.
Similar(9)
It can be observed from this figure that the mono-exponential fit adequately models the data.
A mono-exponential fit to these data points gives a decay time of 3.9 ms.
Input functions were corrected using the above-derived standard metabolite correction curves fitted with two-exponential fit.
In addition, the results of dosimetry studies suggest that a bi-exponential fit would be appropriate [17, 43].
Fig. 1 Time-activity curve of the measured whole-body activity and mean bi-exponential fit to the data.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com