Equations for the three-dimensional planes or lines representing the final models of the repeated-measures multiple regression analysis forV̇O2 and each kinematic variable as a function of swimming speed, fish fork length and fish mass
| Kinematic variable, y . | Multiple regression equation . |
|---|---|
| V̇O2 at 18 °C(mg O2 min-1) | y=(-0.283±0.214)+(0.0096±0.0026)U+(0.0044±0.0010)M |
| V̇O2 at 24 °C(mg O2 min-1) | y=(-0.746±0.121)+(0.0204±0.0011)U+(0.0044±0.0010)M |
| Tail-beat frequency (Hz) | y=(5.20±0.738)+(0.047±0.002)U+(-0.165±0.034)FL |
| Tail-beat amplitude (cm) | y=(-0.611±0.511)*+(0.012±0.002)U+(0.161±0.024)FL |
| Tail-beat amplitude (% FL) | y=(13.10±0.60)+(0.056±0.008)U |
| l (cm) | y=(-5.15±2.06)+(0.086±0.005)U+(0.639±0.097)FL |
| λ at 18 °C (cm) | y=(-1.17±2.56)+(1.11±0.09)FL |
| λ at 24 °C (cm) | y=(0.98±1.88)*+(1.11±0.09)FL |
| Kinematic variable, y . | Multiple regression equation . |
|---|---|
| V̇O2 at 18 °C(mg O2 min-1) | y=(-0.283±0.214)+(0.0096±0.0026)U+(0.0044±0.0010)M |
| V̇O2 at 24 °C(mg O2 min-1) | y=(-0.746±0.121)+(0.0204±0.0011)U+(0.0044±0.0010)M |
| Tail-beat frequency (Hz) | y=(5.20±0.738)+(0.047±0.002)U+(-0.165±0.034)FL |
| Tail-beat amplitude (cm) | y=(-0.611±0.511)*+(0.012±0.002)U+(0.161±0.024)FL |
| Tail-beat amplitude (% FL) | y=(13.10±0.60)+(0.056±0.008)U |
| l (cm) | y=(-5.15±2.06)+(0.086±0.005)U+(0.639±0.097)FL |
| λ at 18 °C (cm) | y=(-1.17±2.56)+(1.11±0.09)FL |
| λ at 24 °C (cm) | y=(0.98±1.88)*+(1.11±0.09)FL |
Standard errors (±S.E.M.) are given for each coefficient.
The final multiple regression equations for all variables except V̇O2 and λwere the same for chub mackerel at both 18 and 24 °C.
Indicates a coefficient that does not differ significantly from zero(P>0.05).
FL, fork length (cm); l, stride length; λpropulsive wavelength; U, swimming speed; M, body mass.