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Fig. 3. Kinematic analysis of swimming. (A) Undulatory frequency {omega} is the only significant (P<0.05) predictor of swimming speed, UL, in a multivariate regression with individual hagfish treated as a random effect (see Table 2). Also, {omega} is significantly correlated, as determined by univariate regression (see Table 3), with tailbeat amplitude y0,30 (B) and phase lag between heave and curvature at body point 11, {delta}y-{kappa} (C). (D) The amplitude of the midline curvature at point 11 (0.37 L), {kappa}0, is not a significant predictor of UL. It is, however, a significant predictor of pitch angle {alpha}0 (E) and phase lag, curvature {delta}y-{kappa} (F). Lines are significant regressions (see Tables 2, 3). Symbols in A and D indicate eight different individuals (total N=23).