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The phrase "a satisfactory model" is correct and usable in written English.
You can use it when discussing a model that meets the required standards or expectations in a particular context, such as research or analysis.
Example: "After extensive testing, we concluded that the proposed design is a satisfactory model for our needs."
Alternatives: "an acceptable model" or "a suitable model".
Exact(47)
Nonsignificant variables (p value greater than or equal to 0.05) were subsequently omitted in the modelling process until a satisfactory model was obtained.
Also, statisticians sometimes find it necessary to transform the dependent variable in order to build a satisfactory model.
It confirms previous studies showing that the generalised Pareto distribution is not a satisfactory model for extreme wind speeds.
Although living organisms are composed of cells, actual genomic and proteomic data have not yet led to a satisfactory model of working cell in silico.
A satisfactory model for predicting monomer conversion in free radical polymerization has been a challenge due to the complexity and rigors associated with classical kinetic models.
Since her sister's reign did not provide a satisfactory model for female authority, Elizabeth had to improvise a new model, one that would overcome the considerable cultural liability of her sex.
Similar(13)
This leads to a satisfactory modeling of the test results.
A satisfactory modeling of the spectra can be obtained if four Gaussians are used.
Essential and up-to-date theoretical, numerical and experimental methodologies are covered, as a tool to progress towards a satisfactory modeling of the nonlinear behavior of structures.
This generated a model that described the data well and had a satisfactory model-fit index (χ 629) = 120.19; TLI = 0.97; RMSEA = 0.06) [ 44].
The model has been validated against actual plant data from two different sources, and against local expert opinions, resulting in a satisfactory simulation model.
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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