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The phrase "small correlation with" is correct and usable in written English.
It can be used in contexts where you are discussing the relationship between two variables, indicating that the relationship is weak. Example: "The study found a small correlation with the amount of exercise and overall happiness levels among participants."
Exact(14)
However, SAR has very small correlation with pH and bicarbonate (HCO3) with the value of 0.1890 and − 0.035, respectively.
This finding was not surprising because among all the independent variables, only age indicated a small correlation with undergraduate GPA (r = .22).22
Diversity had a small correlation with the other four assessment tasks (from.32 to.41), while each of these had medium correlations with one another (from.50 to.68).
Therefore, genes having small correlation with phenotype (i.e., less significant genes) show negligible contribution in the computation of the ES.
For the total ATEC, there was a small correlation with lysozyme (R = 0.29, p = 0.03).
For the 6-GSI there was a small correlation with carbohydrates (R = 0.27, p = 0.04).
Similar(46)
StB is either not correlated or has very small correlations with the effective tax rate measures.
Personal PM2.5 was moderately correlated with ambient PM2.5 (Spearman r = 0.60), and had small correlations with personal NO2 (r = 0.38) and ambient NO2 (r = 0.32).
The other FFMQ facets showed weak to small correlations with this construct, except for the describe facet which was moderately correlated.
Finally, it is interesting to observe that the closeness centrality is becoming a more independent feature over the years, having in 2012 very small correlations with all the other metrics.
In concordance with recent theories [ 29], the subscale Avoidance showed only small correlations with pain intensity but moderate to high correlations with depression and disability.
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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