The phrase "a consistent correlation between" is correct and usable in written English.
It can be used when discussing a reliable relationship or connection between two or more variables or factors.
Example: "The study revealed a consistent correlation between exercise frequency and overall health outcomes."
Alternatives: "a steady relationship between" or "a reliable link between".
Researchers found a consistent correlation between higher income, management responsibility and disagreeableness.
Numerical results are compared with experiments in order to find a consistent correlation between the nanotube growth and the pressure.
Nevertheless, a consistent correlation between PFOS, PFOA, or APFO serum concentrations in humans and adverse health effects could not be observed.
Instead, their responses show a consistent correlation between level and taxonomic distance even when the taxonomic order of the statements is scrambled.
And analyzing data from 1996 to 2005, the team found a consistent correlation between higher air-travel volumes in the fall and a slightly earlier flu season.
In their article on IBM, Katzenbach and Aguirre also point to Harvard Business School research that finds a consistent correlation between robust, engaged cultures and high-performance business results.
A consistent correlation exists between the Favre-averaged scalar dissipation and progress variable variance.
A consistent correlation was observed between the EIS response and the chemical compositions of the passive film and carburized layers.
A consistent correlation was observed between IHC and Western blot analysis with respect to the level of pAkt expression in SKBR3 and MCF7 cells.
In spite of the different temporal dynamics, a consistent correlation was found between biovolume and roughness of the various biofilm components showing that the biofilm system studied here increased in heterogeneity during its development.
Even though a consistent correlation is not known between piercing and endocarditis, the number of case reports is increasing, and a correlation may well exist.
