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. 2014 May 6;3(2):339–357. doi: 10.3390/antiox3020339

Table 4.

Mathematical equations from response surface method (RSM) for each of the responses, with their respective value of R2 and R2-predicted.

Extraction Equation R2 Value
Response R 2 R2-Pred.
Ethanolic
TPC(mg GAE/g DW) −132.03 + 2.37 T + 1.18 C + 3.13 t − 0.013 T2 − 0.009 C2 − 0.03 t2 − 0.003 T × C − 0.014 T × t − 0.003 C × t 97.8 84.8
ORAC(mg TE/g DW) −544.88 + 11.18 T + 7.75 C+ 6.97 t − 0.068 T2 − 0.038 C2 − 0.058 t2 − 0.024 T × C − 0.009 T × t − 0.069 C × t 93.5 51.2
Rosmarinic Acid (mg/L) −58.94 + 0.88 T + 1.09 C + 0.52 t − 0.004 T2 − 0.0012 C2 + 0.006 t2 − 0.004 T × C − 0.007 T × t − 0.009 C × t 99.7 97.6
Aqueous
TPC(mg GAE/g DW) −132.03 + 2.371 T + 1.18 t − 0.002 T2 − 0.006 t2 − 0.005 T × t 96.3 83.8
ORAC(mg TE/g DW) −9.236 + 4.654 T − 12.357 t − 0.0538 T2 − 0.149 t2 − 0.257 T × t 94.5 61.1
Rosmarinic Acid (mg/L) −67.250 + 1.233 T + 4.140 t − 0.009 T2 − 0.146 t2 − 0.005 T × t 98.5 89.1

T: Temperature (°C); C: Ethanol concentration (%); t: Time (min); Pred.: response predicted by model.