簡單線性回歸復現

匯入資料分析工具

import numpy as np

import pandas as pd
import matplotlib.pyplot as plt

x=np.

array([
1,2,
3,4,
5])y=np.
array([
1,3,
2,3,5])

求平均值

x_mean=np.

mean
(x)y_mean=np.
mean
(y)

num=

0#分子
d=0#分母
for x_i,y_i in
zip(x,y)
: num+=
(x_i-x_mean)
*(y_i-y_mean)
d+=(x_i-x_mean)**2
a=num/d
b=y_mean-a*x_mean
y_hat=a*x+b

復現函式

class

******linearregression1
: def _init_
(self)
: self.a_ = none
self.b_ = none
def fit
(self,x_train,y_train)
: assert x_train.ndim ==1,\
"****** linear regressor can only solve single feature training data."
assert len
(x_train)
==len
(y_train)
,\ "the size of x_train must be equal to the size of y_train"
x_mean=np.
mean
(x_train)
y_mean=np.
mean
(y_train)
num=
0#分子
d=0#分母
for x,y in
zip(x_train,y_train)
: num+=
(x-x_mean)
*(y-y_mean)
d+=(x-x_mean)**2
self.a_ =num/d
self.b_ =y_mean-self.a_*x_mean
return self
def predict
(self, x_predict)
: assert x_predict.ndim ==1,\
"****** linear regressor can only solve single feature training data."
assert self.a_ is not none and self.b_ is not none,\
"must fit before predict！"
return np.
array
([self.
_predict
(x)for x in x_predict]
) 
def _predict
(self,x_single)
:return self.a_*x_single+self.b_
def _repr_
(self)
:return
"******linearregression1()"

reg1=

******linearregression1()
reg1.
fit(x,y)
plt.
scatter
(x,y)
plt.
plot
(x,y_hat1,color=
'red'
)plt.
axis([
0,6,
0,6]
)plt.
show
()

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