Table 3.

ANOVA of the dependent variables of the experimental design.

Responses	Source	Sum of Squares	dF	Mean Square	F value	P value
y1	Model	16.40	6	2.73	82.36	<0.0001
	x1	12.39	1	12.39	373.21	<0.0001
	x2	0.50	1	0.50	14.95	0.0048
	x3	2.31	1	2.31	69.52	<0.0001
	x1x2	0.24	1	0.24	7.15	0.0282
	x1x3	0.18	1	0.18	5.49	0.0471
	$x_1^2$	0.79	1	0.79	23.83	0.0012
	R-Squared	0.9841
Adj R-Squared	0.9721
y2	Model	60.86	2	30.43	92.16	<0.0001
	x1	42.92	1	42.92	129.99	<0.0001
	x3	17.94	1	17.94	54.33	<0.0001
	x2x3	1.89	1	1.89	12.84	0.0050
	R-Squared	0.9389
Adj R-Squared	0.9287
y3	Model	9.71 ×10−3	3	3.24 ×10−3	245.23	<0.0001
	x1	8.41 ×10−3	1	8.41 ×10−3	636.62	<0.0001
	x3	1.27 ×10−4	1	1.27 ×10−4	9.64	0.0010
	$x_1^2$	1.18 ×10−3	1	1.18 ×10−3	89.44	<0.0001
	R-Squared	0.9853
	Adj R-Squared	0.9813
y4	Model	48676.54	2	24338.27	136.97	<0.0001
	x1	46482.00	1	46482.00	261.59	<0.0001
	x3	2194.53	1	2194.53	12.35	0.0043
	R-Squared	0.9580
	Adj R-Squared	0.9510
y5	Model	0.34	1	0.34	9.26	0.0094
	x3	0.34	1	0.34	9.26	0.0094
	R-Squared	0.8416
	Adj R-Squared	0.8371
y6	Model	741.03	6	123.50	156.22	<0.0001
	x1	406.55	1	406.55	514.23	<0.0001
	x2	79.88	1	79.88	101.04	<0.0001
	x3	193.16	1	193.16	244.32	<0.0001
	x1x3	23.43	1	23.43	29.63	0.0006
	x2x3	4.26	1	4.26	5.39	0.0487
	$x_3^2$	33.74	1	33.74	42.68	0.0002
	R-Squared	0.9915
Adj R-Squared	0.9852