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. 2023 Jun 22;12(13):2448. doi: 10.3390/foods12132448

Table 7.

Regression models for the chemical parameters (total carotenoid content and antioxidant capacity) of the spray-dried SBO powders produced with the addition of gum arabic (GA), β-cyclodextrin (β-CD), and a mixture thereof (GA:β-CD) and the corresponding values of the coefficient of determination (R2) and adjusted coefficient of determination (R2adj).

Carrier Response Model R2 R2adj
GA Total carotenoids 2500.56 − 36.96X1 + 0.15X12 − 1001.72X2 + 96.23X22 + 17.01X1X2 − 1.92X1X22 − 0.07X12X2 + 0.01X12X22 0.997 0.995
ORAC 2249.89 − 13.985X1 + 0.029X12 − 962.584X2 + 143.702X22 + 10.734X1X2 − 1.254X1X22 − 0.026X12X2 + 0.002X12X22 0.997 0.995
β-CD Total carotenoids −13485.8 + 199.7X1 − 0.7X12 + 10875.1X2 − 1794.3X22 − 159X1X2 + 26.4X1X22 + 0.6X12X2 − 0.1X12X22 0.993 0.987
ORAC 6113.31 − 78.85X1 + 0.24X12 − 3867.04X2 + 808.49X22 + 55.41X1X2 − 10.65X1X22 − 0.16X12X2 + 0.03X12X22 0.999 0.999
GA:β-CD (1:1) Total carotenoids −4930.09 + 70.36X1 − 0.23X12 + 4780.04X2 − 855.38X22 − 65.39X1X2 + 11.58X1X22 + 0.21X12X2 − 0.04X12X22 0.997 0.993
ORAC −21035.1 + 299.2X1 − 1X12 + 17054.6X2 − 2752.4X22 − 233.6X1X2 + 38.1X1X22 + 0.8X12X2 − 0.1X12X22 0.998 0.996

Effect of temperature (X1); effect of the carrier-to-oil ratio (X2).