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The dependence of on A can be generalized by generating an exponential fit model that has the following form:
formula
12
where a, b, c and d are the coefficients of the fit equation varying with the value of the integration window, . The fit parameters together with the fit statistics are tabulated in Table 1.
Table 1

The coefficient of fit form and statistical properties in Equation (12)

 Parameters
Statistics
ΔabcdSSER2R2 Adj. RMSE
0.1 −1955.34 2.628738 0.001667 −2.36566 0.000438 0.002032 
0.2 −350.522 2.559461 0.006826 −2.36966 0.000444 0.002057 
0.3 −128.262 2.49452 0.015523 −2.37359 0.000448 0.002075 
0.4 −63.3889 2.433597 0.027759 −2.37747 0.000449 0.002087 
0.5 −37.0788 2.37642 0.043526 −2.38131 0.000448 0.002095 
0.6 −24.175 2.322705 0.062815 −2.3851 0.000445 0.002098 
0.7 −17.0047 2.272198 0.085613 −2.38887 0.00044 0.002098 
0.8 −12.6507 2.224659 0.111912 −2.39262 0.000434 0.002094 
0.9 −9.82577 2.179913 0.1417 −2.39635 0.000427 0.002088 
−7.89589 2.137756 0.174969 −2.40007 0.000419 0.999999 0.002079 
1.1 −6.52199 2.098013 0.21171 −2.40378 0.000411 0.999999 0.002068 
1.2 −5.51039 2.060518 0.251916 −2.4075 0.000401 0.999999 0.002055 
1.3 −4.74444 2.025144 0.29558 −2.41122 0.000391 0.999999 0.002041 
1.4 −4.15061 1.991764 0.342694 −2.41495 0.000381 0.999999 0.999999 0.002025 
1.5 −3.68076 1.960239 0.393254 −2.4187 0.000371 0.999999 0.999999 0.002008 
1.6 −3.30244 1.930456 0.447254 −2.42247 0.00036 0.999999 0.999999 0.001989 
1.7 −2.99315 1.902338 0.504688 −2.42627 0.000349 0.999999 0.999999 0.00197 
1.8 −2.73685 1.875786 0.565552 −2.43009 0.000338 0.999999 0.999999 0.00195 
1.9 −2.52189 1.850709 0.629843 −2.43395 0.000327 0.999999 0.999999 0.001929 
−2.33966 1.827029 0.697556 −2.43785 0.000316 0.999999 0.999999 0.001907 
2.1 −2.18368 1.804697 0.768686 −2.44178 0.000305 0.999999 0.999999 0.001884 
2.2 −2.04898 1.783623 0.843234 −2.44576 0.000294 0.999999 0.999999 0.001861 
2.3 −1.93172 1.763771 0.921195 −2.44979 0.000283 0.999999 0.001837 
2.4 −1.82889 1.745063 1.002569 −2.45387 0.000273 0.999999 0.001813 
2.5 −1.7381 1.727479 1.087352 −2.45801 0.000262 0.999999 0.001787 
 Parameters
Statistics
ΔabcdSSER2R2 Adj. RMSE
0.1 −1955.34 2.628738 0.001667 −2.36566 0.000438 0.002032 
0.2 −350.522 2.559461 0.006826 −2.36966 0.000444 0.002057 
0.3 −128.262 2.49452 0.015523 −2.37359 0.000448 0.002075 
0.4 −63.3889 2.433597 0.027759 −2.37747 0.000449 0.002087 
0.5 −37.0788 2.37642 0.043526 −2.38131 0.000448 0.002095 
0.6 −24.175 2.322705 0.062815 −2.3851 0.000445 0.002098 
0.7 −17.0047 2.272198 0.085613 −2.38887 0.00044 0.002098 
0.8 −12.6507 2.224659 0.111912 −2.39262 0.000434 0.002094 
0.9 −9.82577 2.179913 0.1417 −2.39635 0.000427 0.002088 
−7.89589 2.137756 0.174969 −2.40007 0.000419 0.999999 0.002079 
1.1 −6.52199 2.098013 0.21171 −2.40378 0.000411 0.999999 0.002068 
1.2 −5.51039 2.060518 0.251916 −2.4075 0.000401 0.999999 0.002055 
1.3 −4.74444 2.025144 0.29558 −2.41122 0.000391 0.999999 0.002041 
1.4 −4.15061 1.991764 0.342694 −2.41495 0.000381 0.999999 0.999999 0.002025 
1.5 −3.68076 1.960239 0.393254 −2.4187 0.000371 0.999999 0.999999 0.002008 
1.6 −3.30244 1.930456 0.447254 −2.42247 0.00036 0.999999 0.999999 0.001989 
1.7 −2.99315 1.902338 0.504688 −2.42627 0.000349 0.999999 0.999999 0.00197 
1.8 −2.73685 1.875786 0.565552 −2.43009 0.000338 0.999999 0.999999 0.00195 
1.9 −2.52189 1.850709 0.629843 −2.43395 0.000327 0.999999 0.999999 0.001929 
−2.33966 1.827029 0.697556 −2.43785 0.000316 0.999999 0.999999 0.001907 
2.1 −2.18368 1.804697 0.768686 −2.44178 0.000305 0.999999 0.999999 0.001884 
2.2 −2.04898 1.783623 0.843234 −2.44576 0.000294 0.999999 0.999999 0.001861 
2.3 −1.93172 1.763771 0.921195 −2.44979 0.000283 0.999999 0.001837 
2.4 −1.82889 1.745063 1.002569 −2.45387 0.000273 0.999999 0.001813 
2.5 −1.7381 1.727479 1.087352 −2.45801 0.000262 0.999999 0.001787 
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