Reliability of the load-velocity relationship obtained through linear and polynomial regression models to predict the 1-repetition maximum load

Document Type

Journal Article

Publication Title

Journal of Applied Biomechanics


Human Kinetics

Place of Publication

United States


Centre for Exercise and Sports Science Research




Pestaña-Melero, F. L., Haff, G. G., Rojas, F. J., Pérez-Castilla, A., & García-Ramos, A. (2018). Reliability of the Load–Velocity Relationship Obtained Through Linear and Polynomial Regression Models to Predict the 1-Repetition Maximum Load. Journal of applied biomechanics, 34(3), 184-190. Available here.


This study aimed to compare the between-session reliability of the load-velocity relationship between (1) linear versus polynomial regression models, (2) concentric-only versus eccentric-concentric bench press variants, as well as (3) the withinparticipants versus the between-participants variability of the velocity attained at each percentage of the 1-repetition maximum. The load-velocity relationship of 30 men (age: 21.2 [3.8] y; height: 1.78 [0.07] m, body mass: 72.3 [7.3] kg; bench press 1-repetition maximum: 78.8 [13.2] kg) were evaluated by means of linear and polynomial regression models in the concentriconly and eccentric-concentric bench press variants in a Smith machine. Two sessions were performed with each bench press variant. The main findings were: (1) first-order polynomials (coefficient of variation: 4.39%-4.70%) provided the load-velocity relationship with higher reliability than the second-order polynomials (coefficient of variation: 4.68%-5.04%); (2) the reliability of the load-velocity relationship did not differ between the concentric-only and eccentric-concentric bench press variants; and (3) the within-participants variability of the velocity attained at each percentage of the 1-repetition maximum was markedly lower than the between-participants variability. Taken together, these results highlight that, regardless of the bench press variant considered, the individual determination of the load-velocity relationship by a linear regression model could be recommended to monitor and prescribe the relative load in the Smith machine bench press exercise.



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