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The phrase "by fitting experimental data" is correct and usable in written English.
It can be used to indicate that the information or conclusions in a sentence were obtained through the process of analyzing and comparing experimental data. Example sentence: The scientists were able to determine the chemical composition of the substance by fitting the experimental data collected from multiple trials.
Exact(53)
Red solid lines in both graphs are calculated conductivities by fitting experimental data to Equation 1. Fitting results are pc = 0.12 ± 0.02 vol %, t = 2.61 ± 0.22, and σ0 = 1,496.43 ± 136.38 S/cm.
The permeability coefficients were obtained by fitting experimental data.
By fitting experimental data to this equation the number of local minima can be estimated.
Optimization was done by fitting experimental data to the software program (Design-Expert® 7 trial version).
We extract numerical values of these parameters by fitting experimental data.
A predicting mathematical model is obtained by fitting experimental data, and it is verified by analysis of variance.
Similar(7)
Operation parameters of the fridge were determined by parametric fitting experimental data using a thermodynamic model of the cycle leading to a working pressure of 25 bar, weak and strong solution concentrations of 15%and30%0% respectively and a COP of ∼0.18.
The model defines a limited number of surface complexation reactions that describe alkaline earth sorption over a wide range of ionic strength, pH, surface coverage, and oxide type by collectively fitting experimental data which investigated a limited set of these variables [43 54].
The R2 values, which indicate goodness-of-fit for fitting experimental data to the theoretical model in Eq. (5), were calculated by the software.
We determined the unit cell parameters of this substrate-mediated PFP polymorph by GIXRD and carried out a full structure solution both by theoretical structure modeling and fitting experimental data.
The afterpulsing contribution to the ACFs appears well described by a power law (though the exponent depends on which channel is considered) and was therefore taken into account by introducing a power law component when fitting experimental data as described next.
More suggestions(15)
by fitting experimental responses
by aligning experimental data
by fitting experimental results
by fitting numerical data
by substantial experimental data
by fitting experimental values
by previous experimental data
by fitting experimental traces
by fitting experimental ξpvs
by fitting experimental measurements
by fitting experimental transients
by fitting experimental points
by limited experimental data
by available experimental data
by recent experimental 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