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The phrase "a significant and consistent correlation" is correct and usable in written English.
It can be used in contexts where you are discussing the relationship between two variables that shows both importance and reliability over time or across different studies.
Example: "The research findings indicate a significant and consistent correlation between exercise frequency and overall health outcomes."
Alternatives: "a strong and reliable relationship" or "a meaningful and stable association."
Exact(1)
However, only in sIBM, there was a significant and consistent correlation between the mRNA expression of β-amyloid-associated molecules and the major inflammatory markers.
Similar(59)
Most significant and consistent correlation coefficients were found between repetitive movements of shoulder/hand, excessive tightening of low back, and use of vibrating tools (Spearman rank correlation coefficients θ = 0.28 0.30).
Consistent with this conclusion, we found a significant and negative correlation between laterality indices for words and effective connectivity from ldF to rdF (Fig. 6).
Significant and consistent negative correlations were found between disability and QLA scores in both the injured and non-injured groups.
There are strong, highly significant and consistent negative correlations between AEs in 5′ UTR and CDS (fig. 3 and supplementary tables S6 and S7, Supplementary Material online).
Treatment effects were also significant and consistent.> -wrap-foot>> Note: Correlations between variables were low, demonstrating relative independence: Mean r =0.11, Min r =0.01, Max r =0.30.
Bivariate correlation analyses of microarray expression data showed a strong and consistent positive correlation between LCN2 gene expression and several S100A-genes, with significant correlations in both series with S100A2, S100A3, S100A6, S100A8, S100A9, S100A11, S100A14 and S100A16 (Table 4).
However low idea density had significantly stronger and more consistent correlation with impaired cognitive function.
Solid lines represent a significant positive correlation and dashed lines represent a significant negative correlation.
In their article on IBM, Katzenbach and Aguirre also point to Harvard Business School research that finds a consistent correlation between robust, engaged cultures and high-performance business results.
Although the relative magnitude of effects between grain size and yield were not always consistent, a significant positive correlation was observed between the two traits across environments, suggesting that grain weight is most likely the principal yield component for Qyld-jic.6A.
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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