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The phrase "a significant relationship exists between" is correct and usable in written English.
It can be used in academic or research contexts to indicate a meaningful connection or correlation between two variables or concepts.
Example: "The study found that a significant relationship exists between exercise frequency and overall mental health."
Alternatives: "a meaningful connection exists between" or "a notable correlation exists between".
Exact(20)
Using existing literature, it was shown that a significant relationship exists between maximum shell length and onset of sexual maturity in bivalve molluscs.
But we cannot use an econometric model to dissect the phenomenon beyond simply noting that a significant relationship exists between the false alarm rate and increased casualties.
These results indicate that a significant relationship exists between mesocotyl elongation and seedling emergence in deep-seeded plants.
This finding indicates that a significant relationship exists between the explanatory variables and forest dependency (outcome variable).
This study adds to the results of the production studies by showing that a significant relationship exists between phonetic variation and social judgements.
Firstly, using voxel-based morphometry (VBM), we investigated whether a significant relationship exists between gray matter concentration and fluid intelligence on a voxel-by-voxel basis.
Similar(40)
We also wanted to determine whether a significant relationship existed between the number of different designs produced on the RFFT and the average design frequency.
Finally, a significant relationship existed between the music therapists' perception of treatment influence on their consumers and the percentage of consumers who had met their clinical objectives during the last week.
They tested six specimens with an average height of 3.3 m and square cross section of 300 mm, and found that a significant relationship existed between the specimen dimensions and the behavior thereof under temperature.
A significant relationship existed between age and the students' perspective on abstinence-only sexual education.
A significant relationship existed between marital status and disability for all older persons and had different directions for older men and women.
More suggestions(15)
a crude relationship exists between
a significant interaction exists between
a significant gap exists between
a clear relationship exists between
a complex relationship exists between
a direct relationship exists between
a linear relationship exists between
a nonlinear relationship exists between
a significant variation exists between
a significant association exists between
a weak relationship exists between
a significant competitiveness exists between
a positive relationship exists between
a meaningful relationship exists between
a dual relationship exists between
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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