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"the only predictor" is a correct and usable phrase in written English.
You can use it whenever you want to emphasize that something is the sole cause or influence of an event or outcome. For example, "High self-esteem was the only predictor of overall happiness in the study".
Exact(60)
Cereals were not the only predictor of weight.
Luteinizing hormone/follicle-stimulating hormone ratio was the only predictor of PGV.
Age was the only predictor of second i.v. placement (LR, p < 0.03).
ISS was the only predictor of a bolus being given (LR, p < 0.01).
The only predictor that is significant is the total household income.
In multiple stepwise logistic regression analysis, the only predictor that significantly correlated with restenosis was stent type (P <.01).
The pre-stimulation pancreas duct changes reported were found to be the only predictor of abnormal pancreas function (p = 0.002).
Revised Trauma Score was the only predictor of worsening of vital signs (logistic regression [LR], p < 0.001).
Based on their stepwise predictor variable selection procedure, squared canopy cover was the only predictor variable chosen.
In fact, gender was again the only predictor of the type of jealousy that was most distressing.
Furthermore, this SNP is the only predictor for SVR in patients without RVR.
More suggestions(16)
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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