Table 2.
Source | Coefficient Estimate | Sum of Squares | Degree of Freedom | Standard Error | Mean Square | F-Value | p-Value | |
---|---|---|---|---|---|---|---|---|
Y1 | Model | 7449.86 | 4.16 × 106 | 14 | 43.66 | 2.97 × 105 | 25.95 | <0.0001 ** |
X1 | −251.16 | 1.51 × 106 | 1 | 21.83 | 1.51 × 106 | 132.36 | <0.0001 ** | |
X2 | −21.42 | 1.10 × 104 | 1 | 21.83 | 1.10 × 104 | 0.96 | 0.3422 | |
X3 | 32.15 | 2.48 × 104 | 1 | 21.83 | 2.48 × 104 | 2.17 | 0.1614 | |
X4 | 75 | 1.35 × 105 | 1 | 21.83 | 1.35 × 105 | 11.8 | 0.0037 ** | |
X1X2 | 75.34 | 9.08 × 104 | 1 | 26.74 | 9.08 × 104 | 7.94 | 0.0130 * | |
X1X3 | −8.22 | 1.08 × 103 | 1 | 26.74 | 1.08 × 103 | 0.09 | 0.7628 | |
X1X4 | 31.24 | 1.56 × 104 | 1 | 26.74 | 1.56 × 104 | 1.37 | 0.2609 | |
X2X3 | −24.45 | 9.56 × 103 | 1 | 26.74 | 9.56 × 103 | 0.84 | 0.375 | |
X2X4 | −56.51 | 5.11 × 104 | 1 | 26.74 | 5.11 × 104 | 4.47 | 0.0517 | |
X3X4 | 70.85 | 8.03 × 104 | 1 | 26.74 | 8.03 × 104 | 7.02 | 0.0182 * | |
X12 | −276.36 | 2.09 × 106 | 1 | 20.42 | 2.09 × 106 | 183.16 | <0.0001 ** | |
X22 | −87.83 | 2.12 × 105 | 1 | 20.42 | 2.12 × 105 | 18.5 | 0.0006 ** | |
X32 | −91.63 | 2.30 × 105 | 1 | 20.42 | 2.30 × 105 | 20.14 | 0.0004 ** | |
X42 | −43.54 | 5.20 × 104 | 1 | 20.42 | 5.20 × 104 | 4.55 | 0.05 | |
Residual | 1.72 × 105 | 15 | 1.14 × 104 | |||||
Lack of Fit | 1.09 × 105 | 10 | 1.09 × 104 | 0.87 | 0.6032 | |||
Pure Error | 6.26 × 104 | 5 | 1.25 × 104 | |||||
Cor Total | 4.33 × 106 | 29 | ||||||
R2 | 0.9604 | |||||||
Adj R2 | 0.9233 | |||||||
Pred R2 | 0.8341 | |||||||
Adeq Precision | 22.3775 | |||||||
C.V. % | 1.5169 | |||||||
r | 0.98 | |||||||
Y2 | Model | 72,589.38 | 1.57 × 109 | 14 | 608.6 | 1.12 × 108 | 50.34 | <0.0001 ** |
X1 | −3487.37 | 2.92 × 108 | 1 | 304.3 | 2.92 × 108 | 131.34 | <0.0001 ** | |
X2 | −784.14 | 1.48 × 107 | 1 | 304.3 | 1.48 × 107 | 6.64 | <0.0001 ** | |
X3 | 12.2 | 3.57 × 103 | 1 | 304.3 | 3.57 × 103 | 0 | 0.0210 * | |
X4 | 1178.65 | 3.33 × 107 | 1 | 304.3 | 3.33 × 107 | 15 | 0.9685 | |
X1X2 | −350.05 | 1.96 × 106 | 1 | 372.69 | 1.96 × 106 | 0.88 | 0.0015 ** | |
X1X3 | 939.3 | 1.41 × 107 | 1 | 372.69 | 1.41 × 107 | 6.35 | 0.3625 | |
X1X4 | −450.04 | 3.24 × 106 | 1 | 372.69 | 3.24 × 106 | 1.46 | 0.0235 * | |
X2X3 | −786.65 | 9.90 × 106 | 1 | 372.69 | 9.90 × 106 | 4.46 | 0.2459 | |
X2X4 | −2230.28 | 7.96 × 107 | 1 | 372.69 | 7.96 × 107 | 35.81 | 0.052 | |
X3X4 | 2062.14 | 6.80 × 107 | 1 | 372.69 | 6.80 × 107 | 30.62 | <0.0001 ** | |
X12 | −5682.69 | 8.86 × 108 | 1 | 284.65 | 8.86 × 108 | 398.56 | <0.0001 ** | |
X22 | −1573.68 | 6.79 × 107 | 1 | 284.65 | 6.79 × 107 | 30.56 | <0.0001 ** | |
X32 | −977.74 | 2.62 × 107 | 1 | 284.65 | 2.62 × 107 | 11.8 | <0.0001 ** | |
X42 | −3176.95 | 2.77 × 108 | 1 | 284.65 | 2.77 × 108 | 124.57 | 0.0037 ** | |
Residual | 3.33 × 107 | 15 | 2.22 × 106 | <0.0001 ** | ||||
Lack of Fit | 2.71 × 107 | 10 | 2.71 × 106 | 2.18 | 0.2015 | |||
Pure Error | 6.22 × 106 | 5 | 1.24 × 106 | 0.2015 | ||||
Cor Total | 1.60 × 109 | 29 | ||||||
R2 | 0.9792 | |||||||
Adj R2 | 0.9597 | |||||||
Pred R2 | 0.8968 | |||||||
Adeq Precision | 28.1801 | |||||||
C.V. % | 2.3491 | |||||||
r | 0.9898 |
* 0.01 ≤ p < 0.05; ** p < 0.01.