CF Tool曲线拟合 误差很大。

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N/A 2022 年 11 月 25 日
有一组温度和色度的数据要拟合出他们的相关性曲线。数据已上传。X轴为色度Hue。Y轴为温度Temp.
用CF TOOL进行7阶多项式拟合。得到以下结果。曲线公式如下。
但是把算式用原来的X数据带回验算的时候,发现Y值误差很大。但是曲线明明重合的很好,这到底是为什么??
是数据不适合多项式模型拟合吗?
Linear model Poly7:
f(x) = p1*x^7 + p2*x^6 + p3*x^5 + p4*x^4 + p5*x^3 +
p6*x^2 + p7*x + p8
Coefficients (with 95% confidence bounds):
p1 = 5.973e+005 (4.565e+005, 7.38e+005)
p2 = -1.493e+006 (-1.883e+006, -1.103e+006)
p3 = 1.554e+006 (1.098e+006, 2.01e+006)
p4 = -8.712e+005 (-1.163e+006, -5.794e+005)
p5 = 2.839e+005 (1.736e+005, 3.941e+005)
p6 = -5.369e+004 (-7.826e+004, -2.912e+004)
p7 = 5454 (2467, 8441)
p8 = -194.4 (-347, -41.74)
Goodness of fit:
SSE: 0.4231
R-square: 0.9992
Adjusted R-square: 0.9992
RMSE: 0.04003

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