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The phrase "a weak correlation of" is correct and usable in written English.
It can be used when discussing the relationship between two variables that shows a low degree of association or connection.
Example: "The study revealed a weak correlation of exercise frequency and weight loss among participants."
Alternatives: "a low correlation of" or "a slight correlation of".
Exact(20)
There was a weak correlation of the treatment effect sizes for sleep vs. headache/musculoskeletal pain (r = 0.17, P = 0.092).Medical interventions tend to have effects in the same direction for pain and sleep outcomes, but exceptions occur.
There was a weak correlation of the general school climate with social skills (r 2 = .37) as well as with peer aggression (r 2 = -.32).
In co-expression analyses MMP2-MMP10 and MMP8-MMP9 showed a weak correlation of their expression.
On the other hand, we found only a weak correlation of KAT3B with markers of inflammatory cells.
There was a weak correlation of the duration of the postoperative interval and the RV-EF (r = 0.32, p = 0.09).
A weak correlation of ICG and ITD measurements was observed before initiation of IABC – 0.24 0.27 in separate cases.
Similar(40)
PPD has a weaker correlation of 0.64 for males and 0.61 for females (R2 = 0.38 overall).
Another pattern apparent in the broad scale recombination landscape is that some chromosome segments exhibit a weaker correlation of recombination rate between species, potentially indicative of regional differences.
Only a weak correlation for depth of invasion was observed, as the maximum imaging depth with current technology is limited to 1.5 2.0 mm.
Insertion torque presented a weak correlation to ISQ values at time of implant insertion.
In the whole group of SSc patients, sCD163/sTWEAK ratio showed a weak correlation with duration of the disease (R = 0.23, P = 0.03).
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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