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The phrase "a reasonable correlation between" is correct and usable in written English.
You can use it when discussing the relationship or connection between two or more variables or factors, particularly in academic or analytical contexts.
Example: "The study found a reasonable correlation between exercise frequency and overall health outcomes."
Alternatives: "a significant relationship between" or "a logical connection between".
Exact(34)
A reasonable correlation between FI and CRI was verified.
Akbar's insistence on a regular check of the manṣabdārs' soldiers and their horses signified his desire for a reasonable correlation between his income and obligations.
A reasonable correlation between experimental and predicted ignition delay times is obtained for all intensities and boron particle sizes studied.
A reasonable correlation between the in-plane elastic moduli of the composite and the in situ elastic properties of constituent phases is observed.
However, a non-contact thermal infrared camera effectively provides a reasonable correlation between the surface temperature readings and the internal mat temperature.
(There appears to be a reasonable correlation between liberal enclaves, zoning regulations and high housing prices). In any event, Glaeser says, he doesn't know the answer yet, and it may take years to find out.
Similar(26)
We were not able to get any reasonable correlation between normalised catalogue price and various structural descriptors for a large set of reagents.
A reasonable correlation was found between extended finite element model results and experimental results.
When all seven series were fitted a reasonable correlation was found between calculated and experimental values (R2 = 0.89).
Although a reasonable correlation was found between IDT Nflex Factor with the FHWA ALF fatigue cracking data, the determination of Nflex Factor has several limitations.
No specific correlation can be observed between the carbonation coefficients and physical parameters of concrete (compressive strength and porosity), however, a reasonable correlation is observed between carbonation coefficients and chemical parameters (Total alkali content, reserve alkalinity and pH).
More suggestions(12)
a reasonable connection between
a reasonable concordance between
a suitable correlation between
a proper correlation between
a reasonable proportion between
a logical correlation between
a reasonable link between
a fair correlation between
a reasonable correspondence between
a reasonable interaction between
a reasonable relationship between
a plausible correlation between
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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