Python - 다항식 회귀의 구현

다항식 회귀는 독립 변수 x와 종속 변수 y 간의 관계가 n차 다항식으로 모델링되는 선형 회귀의 한 형태입니다. 다항식 회귀는 x 값과 y의 해당 조건부 평균 사이의 비선형 관계에 적합하며 E(y |x)

예

# Importing the libraries
import numpy as np
import matplotlib.pyplot as plt
import pandas as pd
# Importing the dataset
datas = pd.read_csv('data.csv')
datas
# divide the dataset into two components
X = datas.iloc[:, 1:2].values
y = datas.iloc[:, 2].values
# Fitting Linear Regression to the dataset
from sklearn.linear_model import LinearRegression
lin = LinearRegression()
lin.fit(X, y)
# Fitting Polynomial Regression to the dataset
from sklearn.preprocessing import PolynomialFeatures
poly = PolynomialFeatures(degree = 4)
X_poly = poly.fit_transform(X)
poly.fit(X_poly, y)
lin2 = LinearRegression()
lin2.fit(X_poly, y)
# Visualising the Linear Regression results
plt.scatter(X, y, color = 'blue')
plt.plot(X, lin.predict(X), color = 'red')
plt.title('Linear Regression')
plt.xlabel('Temperature')
plt.ylabel('Pressure')
plt.show()
# Visualising the Polynomial Regression results
plt.scatter(X, y, color = 'blue')
plt.plot(X, lin2.predict(poly.fit_transform(X)), color = 'red')
plt.title('Polynomial Regression')
plt.xlabel('Temperature')
plt.ylabel('Pressure')
plt.show()
# Predicting a new result with Linear Regression
lin.predict(110.0)
# Predicting a new result with Polynomial Regression
lin2.predict(poly.fit_transform(110.0))