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. 2019 May 22;28(6):1703–1711. doi: 10.1007/s10068-019-00616-6

Table 2.

Quadratic polynomial equations of extraction yield and the contents of cormarin, cinnmic acid, cinnamaldehyde, and cinnamyl alcohol from Cinnamomum cassia blume by subcritical extraction process

Response Quadratic polynomial equation R2 Lack of fit (p value)
Extraction yield (%) Y1 = 11.7233 + 2.4163X1 + 0.8725X2 + 0.1088X3 − 0.0567X21 − 0.2342X22 − 0.2617X23 − 0.0725X1X2 − 0.0050X1X3 − 0.4425X2X3 0.912 0.718
Content of coumarin (%) Y2 = 9.3733 − 3.3350X1 − 0.8150X2 − 0.5250X3 + 1.1621X21 + 0.4071X22 + 0.4521X23 + 0.3375X1X2 + 0.1775X1X3 + 0.8125X2X3 0.986 0.316
Content of cinnaic acid (%) Y3 = 3.80333 − 0.91875X1 − 0.16625X2 − 0.06250X3 + 0.03708X21 − 0.17792X22 − 0.27542X23 + 0.16250X1X2 − 0.00500X1X3 + 0.15000X2X3 0.982 0.744
Content of cinnamaldehyde (%) Y4 = 38.0700 − 14.9538X1 − 4.2113X2 − 2.4300X3 + 0.8962X21 − 4.5388X22 − 6.2362X23 + 0.3125X1X2 + 2.8400X1X3 + 4.5050X2X3 0.990 0.855
Content of cinnamyl alcohol (%) Y5 = 2.89667 − 0.50000X1 − 0.11000X2 − 0.070000X3 + 0.50292X21 + 0.34292X22 + 0.23292X23 + 0.12250X1X2 + 0.03250X1X3 + 0.10750X2X3 0.990 0.810

X1 = extraction temperature (°C), X2 = extraction time (min), X3 = extraction pressure (bar), Y1 = extraction yield (%), Y2 = content of coumarin (%), Y3 = content of Cinnamic acid (%), Y4 = content of cinnamaldehyde (%), Y5 = content of cinnamyl alcohol (%)