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Table 2.

Sum of squared errors (SSE) and R 2 values for sinusoidal fits in the standing-wave region using δ LS and δ m . Additional columns highlight the absolute SSE difference and ratio. Only the square, high-frequency case shows a clear model difference.

Pipe Freq. (Hz) SSELS SSEm |ΔSSE| SSELS/SSEm R LS 2 R m 2
Circular 870 0.0045 0.0045 0.0000 1.00 0.99 0.99
Circular 2056 0.0067 0.0062 0.0005 1.08 0.99 0.99
Square 474 0.0012 0.0012 0.0000 1.00 0.99 0.99
Square 875 0.013 0.027 0.0140 0.48 0.98 0.98

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