我有实验数据:
xdata = [85,86,87,88,89,90,91,91.75,93,96,100,101,102,103,104,105,106,107.25,108.25,109,109.75,111,112,112.75,114,115.25,116,116.75,118,119.25,120,121,122,122.5,123.5,125.25,126,126.75,127.75,129.25,130.25,131,131.75,133,134.25,135,136,137,138,139,140,141,142,143,144,144.75,146,146.75,148,149.25,150,150.5,152,153.25,154,155,156.75,158,159,159.75,161,162,162.5,164,165,166]
ydata = [0.2,0.21,0.18,0.21,0.19,0.2,0.21,0.2,0.18,0.204,0.208,0.2,0.21,0.25,0.2,0.19,0.216,0.22,0.224,0.26,0.229,0.237,0.22,0.246,0.25,0.264,0.29,0.274,0.29,0.3,0.27,0.32,0.38,0.348,0.372,0.398,0.35,0.42,0.444,0.48,0.496,0.55,0.51,0.54,0.57,0.51,0.605,0.57,0.65,0.642,0.6,0.66,0.7,0.688,0.69,0.705,0.67,0.717,0.69,0.728,0.75,0.736,0.73,0.744,0.72,0.76,0.752,0.74,0.76,0.7546,0.77,0.74,0.758,0.74,0.78,0.76]
和公式f(x) = m1 + m2 / (1 + e ^ (-m3*(x - m4))).我需要找到m1,
m2, m3, m4最小二乘法,其中0.05 <m1 <0.3 0.3 <m2 <0.8 0.05 <m3 <0.5 100 <m4 <200.
我用curve_fit,我的功能是:
def f(xdata, m1, m2, m3, m4):
if m1 > 0.05 and m1 < 0.3 and \
m2 > 0.3 and m2 < 0.8 and \
m3 > 0.05 and m3 < 0.5 and \
m4 > 100 and m4 …