Table 3.

Regression analysis for particle size (Y₁), encapsulation efficiency (EE) (Y₂), and loading capacity (LC) (Y₃) using the two-way interaction model (linear vs quadratic) based on the effect of the amount of solid lipid (X₁), liquid lipid (X₂), and surfactant (X₃).

	Size-Y1		EE-Y2		LC-Y3
	Coeff.	p-Value	Coeff.	p-Value	Coeff.	p-Value
Intercept	284.917	0.000	80.208	0.000	2.058	0.000
X1	30.833	0.031	−1.492	0.318	−0.311	0.009
X12	−6.438	0.239	0.852	0.394	0.003	0.906
X2	16.500	0.097	−2.817	0.131	−0.345	0.007
X22	−2.438	0.595	−0.685	0.477	−0.044	0.164
X3	−30.167	0.032	−3.033	0.116	−0.075	0.122
X32	−1.563	0.727	3.977	0.037	0.105	0.035
X1 X2	−4.250	0.627	−0.900	0.613	0.065	0.236
X1 X3	18.500	0.132	−4.725	0.090	−0.103	0.119
X2 X3	−7.500	0.421	6.950	0.045	0.175	0.046
R2	0.976		0.975		0.994

Interaction terms are represented by more than one factor (i.e., X₁X₂, X₁X₃, and X₂X₃) and quadratic relationships are represented by higher-order terms (i.e., X₁², X₂², and X₃²). Statistically significant parameters (p-value < 0.05 with a 95% confidence interval) are highlighted in bold.