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The phrase "activity does not correlate" is correct and usable in written English.
It can be used when discussing the relationship or lack thereof between two or more activities or variables in a study or analysis.
Example: "In our research, we found that the level of physical activity does not correlate with the participants' reported happiness."
Alternatives: "activity is not related" or "activity shows no correlation."
Exact(11)
The fewest genes were mapped on chromosomes 13 and 21, which indicated that gene activity does not correlate with the number of genes active on a chromosome.
A few cytotoxic molecules were identified but their antiproliferative activity does not correlate with DNA binding.
Researchers thought this meant the receptor would be central to the survival of those cancer cells, but that has not consistently been so.Erbitux slows the progression of colorectal cancer, but the drug's activity does not correlate with expression of EGFR in such tumours.
However, a decreased activity does not correlate with the abnormally high degree of tau phosphorylation.
However, efflux activity does not correlate with plasma membrane MRP-1 expression.
Our results also demonstrated that ERE transcriptional activity does not correlate with ER protein expression.
Similar(49)
The length of the activation period and catalytic activity do not correlate with the dispersion and the specific surface area of the synthesized Co3O4 samples but depend on their inhomogeneity and the defect structure of the oxide due to the distribution of cobalt ions in the crystal lattice.
The activity did not correlate with most biochemical examinations, except that a positive correlation with α-antitrypsin was identified (r=0.1658, P=0.0350).
On the other hand, the visible-light photocatalytic activity did not correlate with it, and was increased by the partial release of the doped nitrogen.
Although spindle activity did not correlate with overnight improvement in either group, S2q4 sleep duration in patients significantly correlated with the plateau level of overnight improvement seen at the end of the morning testing session, and slow wave sleep (SWS) duration correlated with the delay in reaching this plateau.
Measures of childhood-onset SLE activity did not correlate with the PROMIS-SFs.
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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