次多项式拟合方程
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Linear model Poly44:
f(x,y) = p00 + p10*x + p01*y + p20*x^2 + p11*x*y + p02*y^2 + p30*x^3 + p21*x^2*y
+ p12*x*y^2 + p03*y^3 + p40*x^4 + p31*x^3*y + p22*x^2*y^2
+ p13*x*y^3 + p04*y^4
where x is normalized by mean 3478 and std 786.3
and where y is normalized by mean 4239 and std 335.7 Coefficients (with 95% confidence bounds):
p00 = 940.5 (930, 950.9)
p10 = -52.56 (-65.64, -39.49)
p01 = -190.7 (-205.7, -175.6)
p20 = -10.19 (-27.41, 7.032)
p11 = -20.32 (-44.56, 3.931)
p02 = -37.95 (-54.34, -21.56)
p30 = -11.3 (-18.7, -3.903)
p21 = 25.87 (12.77, 38.98)
p12 = -18.89 (-38.19, 0.4014)
p03 = 6.006 (-3.927, 15.94)
p40 = -0.7479 (-6.189, 4.693)
p31 = 4.858 (-5.017, 14.73)
p22 = -3.114 (-20.14, 13.91)
p13 = 11.81 (-3.784, 27.4)
p04 = 5.667 (-0.2945, 11.63)
Goodness of fit:
SSE: 5.89e+04
R-square: 0.9763
Adjusted R-square: 0.973
RMSE: 24.15
Linear model Poly55:
f(x,y) = p00 + p10*x + p01*y + p20*x^2 + p11*x*y + p02*y^2 + p30*x^3 + p21*x^2*y
+ p12*x*y^2 + p03*y^3 + p40*x^4 + p31*x^3*y + p22*x^2*y^2
+ p13*x*y^3 + p04*y^4 + p50*x^5 + p41*x^4*y + p32*x^3*y^2
+ p23*x^2*y^3 + p14*x*y^4 + p05*y^5
where x is normalized by mean 3478 and std 786.3
and where y is normalized by mean 4239 and std 335.7 Coefficients (with 95% confidence bounds):
p00 = 923.7 (917.9, 929.5)
p10 = -60.56 (-73.45, -47.67)
p01 = -169.4 (-181.1, -157.8)
p20 = 12.53 (1.772, 23.28)
p11 = -20.57 (-37.77, -3.372)
p02 = 7.16 (-6.942, 21.26)
p30 = -22.46 (-35.37, -9.547)
p21 = 14.02 (-6.011, 34.06)
p12 = 0.4896 (-22.09, 23.07)
p03 = -9.91 (-22.35, 2.532)
p40 = -10.01 (-14.15, -5.864)
p31 = 16.82 (7.57, 26.07)
p22 = -27.6 (-42.85, -12.36)
p13 = -8.249 (-24.65, 8.15)
p04 = -7.939 (-14.6, -1.273)
p50 = 5.87 (2.705, 9.035)
p41 = -5.322 (-11.91, 1.268)
p32 = 2.738 (-8.493, 13.97)
p23 = 14.04 (-0.5119, 28.59)
p14 = 3.661 (-7.575, 14.9)
p05 = 3.898 (0.2348, 7.562)
Goodness of fit:
SSE: 1.421e+04
R-square: 0.9943
Adjusted R-square: 0.9931
RMSE: 12.23
Linear model Poly33:
f(x,y) = p00 + p10*x + p01*y + p20*x^2 + p11*x*y + p02*y^2 + p30*x^3 + p21*x^2*y
+ p12*x*y^2 + p03*y^3
where x is normalized by mean 3478 and std 786.3
and where y is normalized by mean 4239 and std 335.7 Coefficients (with 95% confidence bounds):
p00 = 959.9 (947.6, 972.3)
p10 = -48.25 (-68.08, -28.41)