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The phrase 'the correlation of' is correct and usable in written English.
You can use it in sentence when you want to discuss two or more variables and how they relate to each other. Example: The correlation of the number of hours of study and academic success suggests a strong relationship between the two.
Dictionary
the correlation of
noun
A reciprocal, parallel or complementary relationship between two or more comparable objects
Exact(58)
The correlation of art and power fascinated Henderson.
"Perhaps the correlation of forces and circumstances then will have improved".
I would be interested to see the correlation of rushing attempts and fourth-quarter rushing averages to victories.
We achieve perceptual constancy — the correlation of all the different appearances, the transforms of objects — very early, in the first months of life.
The investigation is being carried out in a systematic fashion and this requires the correlation of all the information necessary to draw credible conclusions," he said.
So the closer that the correlation of two markets is to 1, the less the diversification benefit of investing in the two markets.
Muslims from Tangiers to Tehran may be willing to concede that Israel exists because, as the Soviets used to say, the correlation of forces allows no other alternative.
She grew up in Australia, with tennis courts on every corner, and when she became a professional dancer, she noticed the correlation of movement between both passions.
Although the correlation of staid gender roles, corporate greed, and consumer culture at times feels overwrought, Smith's sublime prose more than compensates.
And, worse, there is little evidence of the correlation of test scores with school performance, managerial effectiveness, team building or career counseling.
Scott Walker's win on Tuesday will lead to a permanent and growing shift in the correlation of forces between the two parties – to the disadvantage of the Democrats.
More suggestions(20)
the interaction of
the interconnectedness of
the link of
the connection of
the linkage of
the proportion of
the interconnection of
the interrelationship of
the alignment of
the correlate of
the correlative of
the relevance of
the interplay of
the correspondence of
the interrelatedness of
the dependence of
the concordance of
the interlinkage of
the equation of
the articulation of
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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