Table 3. The second polynomial equations for quality prediction of cumin

Response1)	The second polynomial equations	R2	Significance
Yield	YYIELD = 4.973137 + 0.481310X1 + 0.129210X2 + 0.241916X3 − 0.004288X12 − 0.002375X2X1 − 0.001878X22 − 0.002611X3X1 + 0.000723X3X2 − 0.001442X32	0.9077	<0.0001
TPC	YTPC = 87.393505 + 0.350929X1 − 1.231400X2 − 0.403142X3 − 0.002541X12 − 0.002839X2X1 + 0.009258X22 + 0.004555X3X1 + 0.000830X3X2 + 0.001580X32	0.9131	0.0012
DPPH	YDPPH = 87.393505 + 0.350929X1 − 1.231400X2 − 0.403142X3 − 0.002541X12 − 0.002839X2X1 + 0.009258 X22 + 0.004555 X3X1 + 0.000830X3X2 + 0.001580X32	0.9008	0.0003
ABTS	YABTS = −51.279498 + 1.408106X1 + 2.399036X2 − 0.073583X3 − 0.017720X12 − 0.002249X2X1 − 0.014428X22 + 0.002687X3X1 − 0.010510X3X2 + 0.004881X32	0.8882	0.0032

Yield, total soluble solid yield; TPC, total phenolic content; DPPH, DPPH radical scavenging activity; ABTS, ABTS radical scavenging activity.