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The phrase "acknowledged that the correlation" is correct and usable in written English.
It can be used when discussing the recognition or acceptance of a relationship between two or more variables or factors in a study or analysis.
Example: "The researchers acknowledged that the correlation between exercise and mental health was significant in their findings."
Alternatives: "recognized that the relationship" or "admitted that the link".
Exact(2)
The chancellor acknowledged that the correlation between poor attendance and low performance might reflect other factors as well, like homelessness, poverty and unemployment.
However, it should be acknowledged that the correlation between these two indicators is rather low.
Similar(58)
However, we acknowledge that the correlation between rent and income reports the highest correlation coefficient of 0.47, yet this is not high enough to inflate our estimates.
However, we acknowledge that the correlation between lung histology and radiologic pattern at CT scan may be quite poor, especially in critically ill patients undergoing mechanical ventilation.
We also acknowledge that the correlation between NSAID use and non-unions may not necessarily mean causation.
While we acknowledge that the correlations presented here might suggest a positive correlation between adiponectin and body weight, this is in fact not the case (Author response image 1B).
It also has to be acknowledged that the significant correlation between hemodynamic events and signs of neuronal damage in our study does not allow drawing causal conclusion.
Rösler acknowledged that was that.
The results of the tests acknowledged that the surface and the bulk of the electrode behave differently.
It is acknowledged however, that the correlations between the intervention effects if required can easily be obtained from the correlations between the outcomes [ 14, 51].
We acknowledge that the same magnitude of correlation between skin-fold-based FFM and DXA LM may not be evident in women; this requires further investigation.
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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