Table 3.

Regression analysis summary for various responses Y_1, Y₂, and Y_3.

Response Surface Quadratic Model	R-Squared	Adj R-Squared	Pred R-Squared	Adeq Precision	PRESS	% CV	Mean	SD
Response 1 (y1)	0.9966	0.9923	0.9851	48.695	302.25	2.05	152.47	3.13
Response 2 (y2)	0.9719	0.9358	0.8294	17.237	150.61	2.60	72.25	1.88
Response 3 (y3)	0.9767	0.9467	0.8689	18.105	334.87	4.24	68.82	2.92
$\mathrm{Vesicle} \mathrm{size} \left({\mathrm{Y}}_1\right)=161.60+46.25\times {\mathrm{X}}_1+12.25\times {\mathrm{X}}_2+0.75\times {\mathrm{X}}_3-3.00\times {\mathrm{X}}_1\times {\mathrm{X}}_2+4.00\times {\mathrm{X}}_1\times {\mathrm{X}}_3+{0.50}_{}\times {\mathrm{X}}_2\times {\mathrm{X}}_3-20.30\times {\mathrm{X}}_1{}^2+3.20\times {\mathrm{X}}_2{}^2-2.30\times {\mathrm{X}}_3{}^2$
$\mathrm{EE} \left({\mathrm{Y}}_2\right)=75.46+4.75\times {\mathrm{X}}_1+2.13\times {\mathrm{X}}_2+6.88\times {\mathrm{X}}_3-0.50\times {\mathrm{X}}_1\times {\mathrm{X}}_2+3.50\times {\mathrm{X}}_1\times {\mathrm{X}}_3+2.75\times {\mathrm{X}}_2\times {\mathrm{X}}_3+0.89\times {\mathrm{X}}_1{}^2-1.36\times {\mathrm{X}}_2{}^2-6.35\times {\mathrm{X}}_3{}^2$
$\mathrm{Flux}=72.80+4.63\times {\mathrm{X}}_1+2.50\times {\mathrm{X}}_2+15.63\times {\mathrm{X}}_3+0.75\times {\mathrm{X}}_1\times {\mathrm{X}}_2+1.00\times {\mathrm{X}}_1\times {\mathrm{X}}_3+0.25\times {\mathrm{X}}_2\times {\mathrm{X}}_3-1.40\times {\mathrm{X}}_1{}^2+1.35\times {\mathrm{X}}_2{}^2-8.40\times {\mathrm{X}}_3{}^2$