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The phrase "augments the correlation" is correct and usable in written English.
It can be used when discussing how one variable or factor increases or enhances the relationship between two or more variables.
Example: "The new data set augments the correlation between exercise frequency and overall health outcomes."
Alternatives: "enhances the relationship" or "increases the association".
Exact(2)
Concurrently, the infusion augments the correlation between sniffing and limbic theta oscillations.
We also demonstrate that inhibition of septal theta neurons reduces the frequency of sniffing-theta coherence, while odour infusion augments the correlation between sniffing and hippocampal theta rhythm.
Similar(58)
When we augmented the computer algorithm with manual CVC determination, the effect was minimal on the correlation between the monthly variations (data not shown).
That's the correlation.
Exploiting the correlation is simple.
The correlation is striking.
The correlation holds across the world.
The abolition of apartheid reduced the correlation.
"I don't see the correlation.
The correlation is computed using the Person's correlation coefficient.
The linear correlation coefficient=0.60 and the correlation probability=0.49%.
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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