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. 2018 May 8;9:493. doi: 10.3389/fphys.2018.00493

Table 5.

Curve fitting parameters and goodness of the fit of the Shannon entropy (SE) vs. fish number.

y = a.xb + c Basal 95% confidence bounds Response 95% confidence bounds
For 1–5 fish systems
Coefficients a –143.6 –22700, 22400 –0.92 –11.77, -0.06
b –0.01 –1.48, 1.47 –1.89 –7.80, 4.01
c 145.10 –22400, 22700 3.42 2.60, 4.23
Goodness of the fit SSE 8.07 0.42
R2 0.72 0.79
Adjusted R2 0.70 0.73
RMSE 0.55 0.24
For 1–50 fish systems
Coefficients a –4.17 –4.70, -3.64 –5.92 –11.77, -0.06
b –0.49 –0.64, -0.34 –0.16 –0.38, 0.05
c 5.40 4.87, 5.94 8.21 2.31, 14.10
Goodness of the fit SSE 28.24 5.90
R2 0.93 0.92
Adjusted R2 0.92 0.91
RMSE 0.44 0.35

The SE values (y) of the basal state and of the response to the event were fitted as a function of the fish number (x). a, b, and c are the coefficients of the curve. The goodness of the fit was estimated by the sum of squares due to error (SSE), R-square, adjusted R-square, and root mean squared error (RMSE).