对于y1:
均方差(RMSE): 0.00930260509419025
残差平方和(SSE): 0.00112499999999991
相关系数(R): 0.999889135244143
相关系数之平方(R^2): 0.999778282779281
决定系数(DC): 0.99977828277928
卡方系数(Chi-Square): 7.40216491374408E-5
F统计(F-Statistic): 49601.7452992046
参数 最佳估算
---------- -------------
p1 -0.202705678768752
p2 -0.0020862352731491
p3 0.00132821428847126
p4 0.592583815824515
p5 6.85714279426489E-6
p6 -2.85714285631785E-5
p7 0.00265505224285095
p8 -0.0026000000557272
p9 -7.14285716492466E-8
p10 -0.0163741820714529
====== 结果输出 =====
No 实测值y 计算值y
1 7.84 7.8400000
2 7.82 7.8087500
3 8.33 8.3462500
4 8.36 8.3550000
5 7.73 7.7412500
6 6.94 6.9237500
7 6.62 6.6250000
8 6.89 6.8975000
9 6.58 6.5837500
10 8.26 8.2525000
11 7.46 7.4512500
12 8.25 8.2462500
13 7.75 7.7587500
对于y2:
均方差(RMSE): 0.00105420403805249
残差平方和(SSE): 1.44475000000004E-5
相关系数(R): 0.999312129280364
相关系数之平方(R^2): 0.998624731726855
决定系数(DC): 0.998624731726855
卡方系数(Chi-Square): 3.24970422361207E-5
F统计(F-Statistic): 7987.43944254388
参数 最佳估算
---------- -------------
p1 0.306924016441237
p2 -0.000535505238713623
p3 1.29928571309968E-5
p4 -0.00885185902006826
p5 2.97142857702902E-7
p6 -1.34285714288424E-6
p7 9.79790943908431E-5
p8 -0.000101999999692052
p9 -1.11428571362996E-9
p10 0.000258302881165776
====== 结果输出 =====
No 实测值y 计算值y
1 0.2233 0.2233000
2 0.2208 0.2202000
3 0.2038 0.2052125
4 0.1815 0.1806875
5 0.2207 0.2213000
6 0.2373 0.2358875
7 0.268 0.2688125
8 0.2331 0.2327375
9 0.2644 0.2653625
10 0.2028 0.2031625
11 0.263 0.2612250
12 0.1793 0.1783375
13 0.202 0.2037750
附,对于y2的1stopt软件代码:
Variable y,a,b,c;
Function y=p1+p2*a+p3*b+p4*c+p5*a*b+ p6*b*c+p7*c*a+p8*a^2+p9*b^2+p10*c^2;
Data;
0.2233 10 5000 10
0.2208 15 5000 10
0.2038 12.5 6750 10
0.1815 12.5 5600 14.1
0.2207 5 5000 10
0.2373 7.5 3250 10
0.268 7.5 4400 5.9
0.2331 12.5 3250 10
0.2644 12.5 4400 5.9
0.2028 7.5 6750 10
0.263 10 6150 5.9
0.1793 7.5 5600 14.1
0.202 10 3850 14.1,