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简单线性回归-最小二乘法公式推导

2018-03-26 11:54 471 查看




附python代码:(网上很多版本bo计算公式有误)import numpy as np
def LSmethod(x,y):
n=len(x)
numerator = 0#分子
dinominator=0#分母
for i in range(0,n):
numerator +=(x[i]-np.mean(x))*(y[i]-np.mean(y))
dinominator+=(x[i]-np.mean(x))**2
b1=numerator/float(dinominator)
b0=np.mean(y)-b1*np.mean(x)
return b0,b1
def predict(x,b0,b1):
return b0+b1*x
x = [1, 3, 2, 1, 3]
y = [14, 24, 18, 17, 27]
b0, b1 =LSmethod(x, y)
print( "intercept:", b0, " slope:", b1)
x_test = 6
y_test = predict(6, b0, b1)
print ("y_test:", y_test)
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