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"show a correlation" is a grammatically correct and commonly used phrase in written English.
It means to demonstrate a connection or relationship between two things or factors. You can use it in an academic or scientific context when discussing the results of a study or experiment. For example: "The study showed a strong correlation between exercise and cognitive function, indicating that regular physical activity can improve brain function."
Exact(60)
There are studies that show a correlation between blood-lead levels and violent crime.
Animal studies clearly show a correlation between raised or altered serotonin and diminished sexual appetite.
The bagel data also show a correlation between payment rate and the local rate of unemployment.
Climate data can show a correlation between climate events and their ostensible drivers.
The first study to show a correlation of frontal and cingulate function with age-related declines in dopamine receptors.
Some laboratory studies have linked atrazine to cancer in rats, and some epidemiological studies show a correlation between exposure and cancer in humans.
Our results show a correlation between the increase of side chain motion amplitude and catalytic efficiency.
Studies of metal production frequently show a correlation between scale and organizational complexity.
Additionally, we show a correlation between α-sheet structural stability and inhibitory activity.
The results show a correlation between two non-destructive measurement techniques applied on devices under test.
So far, state-by-state data do not show a correlation between high rates of subprime lending and high rates of foreclosure, Mr. Lanza said.
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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