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The phrase "a lower correlation with" is correct and usable in written English.
It can be used when discussing the relationship or association between two variables, indicating that one variable has a weaker relationship with another.
Example: "The study found that there is a lower correlation with exercise frequency and weight loss compared to diet changes."
Alternatives: "a weaker association with" or "a diminished relationship with".
Exact(18)
This analysis demonstrates that while Google Flu Trends is highly correlated with rates of ILI, it has a lower correlation with surveillance for laboratory-confirmed influenza.
Although weight estimates were generally strongly correlated with actual measurements (r = 0.884), height estimates showed a lower correlation with actual measurements (r = 0.788), leading to a correlation between self-reported and measured BMI of r = 0.783.
Instead, he recommends sticking to some emerging markets and sectors in local economies services, retailing, utilities and banking that have a lower correlation with U.S. markets.
In Design 2, we constructed the variable sets so that one had a lower correlation with science performance (Variable Set 2.1) and the other had a higher correlation with performance (Variable Set 2.2).
The DCE-MRI parameters AUC and Smax, representative for contrast agent build-up, were shown to yield a lower correlation with SPECT data than AUC60, wash-in, K trans, and k ep, representing the exchange of contrast agent between tissue and blood.
We expect that the lower quality arrays will display less biological signal and consequently a lower correlation with the reference.
Similar(42)
Overall, there are some theoretical questions that remain unanswered by this study such as why did MG-A showed lower correlation with other subscales in the Brazilian sample than other studies in the world?
Stone et al. [ 38] reported a moderate to high correlation of both the tibial plateau width and meniscal length/width with body height, but a lower correlation of these with body weight in a mixed cohort of men and women.
The lowest correlation of grass at the daily scale shows a lower correlation of Pasture_ET with meteorological factors.
We found an extremely high correlation with the number of Mb (r = 0.96 with either B73 104 or B73 84) and a lower correlation (r = 0.68 with either B73 104 or B73 84) with copy number, suggesting that mapping of short sequence reads reliably estimates genome space but less accurately predicts copy number.
Luminal M1 tumors, on the other hand, despite being ER positive by immunohistochemistry showed a lower correlation to genes associated with ER signaling and displayed a more aggressive phenotype and worse prognosis.
More suggestions(15)
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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