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The phrase "negative correlation" is correct and usable in written English.
You can use this phrase to describe a situation in which two variables have an inverse relationship - meaning when one variable increases, the other decreases, and vice-versa. For example, "The study found a negative correlation between smoking and life expectancy."
Exact(60)
Red: positive correlation, blue: negative correlation.
Then, suddenly, the negative correlation vanishes.
There was a clear negative correlation.
Interpreting the negative correlation was more contentious.
Blue boxes indicate positive correlation; red boxes indicate negative correlation.
Calcium shows negative correlation with iron (R = −0.5).
A corresponding negative correlation was found for REM percentage.
"And as a matter of fact, there might be a negative correlation.
The 2014 index illustrates the negative correlation between armed conflicts and freedom of information.
The report underlines the negative correlation between low wages and education.
"There's a nearly perfect negative correlation between high yield and low expense ratio," Mr. Tjornehoj said.
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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