The phrase 'demonstrated the correlation between' is correct and usable in written English.
You can use it to describe a situation in which a connection or relationship between two or more things has been shown. For example, "The study demonstrated the correlation between regular exercise and improved well-being."
Much research has demonstrated the correlation between poverty and obesity: the healthiest foods are often the most expensive.
Theses studies demonstrated the correlation between energy consumption of a mobile system and user actions.
Xuan et al. [13, 14] demonstrated the correlation between the size of the Fe3O4 nanoparticles and their magnetic properties.
A study by Presne et al. (2003) also demonstrated the correlation between long-term lithium therapy and CKD.
Nanocrystalline V2O5 thin films have demonstrated the correlation between optical constants (described by four Lorentzian oscillators) and crystalline/amorphous volume fractions.
The present findings, therefore, demonstrated the correlation between antiamnesic effects of LM against diazepam-induced amnesia and its antioxidative capacity [50], but the causal relationship remains to be determined in the future work.
He demonstrated the correlations between human cognitive activity and structural change, and also emphasized the role of plasticity in the living reactive brain.
Kate Hunter, executive director of Case, says: "The survey demonstrates the correlation between the size of the fundraising workforce and the amount of philanthropy raised.
On average for the season, it ranks ahead of "Pawn Stars" on History and "Duck Dynasty" on A&E, another program that demonstrates the correlation between shows featuring men with ridiculously long beards and high television ratings.
Figure 6a demonstrates the correlation between the exit rate and theta.
Correlogram is a figure that demonstrates the correlation between two series.
