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The phrase "a weak association between" is correct and usable in written English.
It can be used in contexts where you are discussing the relationship or correlation between two variables or factors, particularly in research or analytical writing.
Example: "The study revealed a weak association between diet and exercise habits among the participants."
Alternatives: "a slight correlation between" or "a minor link between".
Exact(60)
We observed a weak association between urinary MBP concentration and sperm concentration in Chongqing general population.
Some studies report either no or a weak association between cadmium exposure and bone damage.
The problem with this argument is that, even among citizens, there is only a weak association between contributions and voting.
A weak association between blastocyst morphology and aneuploidy has been described, supporting the basis for preimplantation genetic screening (PGS) for assessment of embryo viability.
A weak association between guinea pig immunogenicity (as measured by protection) and antigenicity in M. bovis infected or BCG vaccinated cattle was found.
We found a weak association between the XRCC1 194Trp allele and breast cancer risk (adjusted odds ratio (OR)=1.98; 95% confidence interval (CI =0.85 4.63).
The Cramer's V coefficient obtained here (0.159) signifies a weak association between these two variables.
It can be a weak association between DOM components, but in the present text, we refer to it as complex.
There was a weak association between anemia and more poorly oxygened tumors, but many non-anemic patients still had poorly oxygenated tumors.
The RMSE was 0.317 and the adjusted R2 was 0.068, indicating a weak association between the PAC-QOL and the EQ-5D-3 L.
Using different measures, Nehm et al. (2009) found a weak association between knowledge and beliefs regarding evolution, and argue that the two are distinct constructs.
More suggestions(17)
a moderate association between
a minimal association between
a low association between
a tenuous association between
a weak link between
a weaker association between
a possible association between
a weak signal between
a close association between
a long association between
a weak relationship between
a weak equivalence between
a potential association between
a weak peak between
a strong association between
a weak compromise between
a weak correspondence 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