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"moderate positive correlation" is correct and usable in written English.
You can use it when you need to explain a link between two variables that describes a correlation in which one variable increases as the other variable also increases, but not as sharply as in a strong positive correlation. For example, "We found a moderate positive correlation between students' test scores and studying hours."
Exact(60)
Lead correlated strongly with Cu (r = 0.74), besides the moderate positive correlation observed between Hg and As (r = 0.44) (Table 1).
A moderate positive correlation (r=0.515, P=.041) could be identified by using the formula including ADC and Ve values.
There was a small positive correlation between presence and conceptual knowledge and a moderate positive correlation between presence and spatial knowledge.
First, the small tRNA sequencing results of CHO-K1 cells showed moderate positive correlation with gene copy number and codon usage bias.
Correlation analysis between the two antioxidant assays revealed moderate positive correlation (r = 0.59), indicating differing antioxidant activities based on the reaction mechanism.
There was a moderate positive correlation between blastocyst formation rates across all treatment and control groups, and the percentage of male bovine embryos (r = 0.38, p < 0.05).
It shows a moderate positive correlation with turbidity.
There was a moderate positive correlation between bone mineral density and peak load for all three experimental groups.
A moderate positive correlation coefficient of 0.31 was found between radon and relative humidity.
Cu shows a moderate positive correlation with Zn (r = 0.580, p < 0.01).
Thus, there is moderate positive correlation between the annual gravity amplitudes and the background seismicity rates.
More suggestions(12)
moderately positive correlation
moderate positive evidence
moderate positive direction
moderate positive level
moderate positive association
moderate positive staining
moderate positive effect
moderate positive impact
moderate positive skew
moderate positive load
moderate positive loading
moderate positive relationship
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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