Polynomial Regression

Polynomial Regression is a form of regression where the relationship between the dependent variable y and the independent variable x is modeled as an nth degree polynomial.

Formula for Polynomial Regression



Code snippet

from sklearn.preprocessing import PolynomialFeatures
poly_regr = PolynomialFeatures(degree = 2)
X_poly = poly_regr.fit_transform(X)
poly_regr.fit(X_poly, y)
reg = LinearRegression()

reg.fit(X_poly, y)

degree is the degree of the polynomial features.

Refer plots below with varying degree and observe that as degree value increases, the curve becomes more aligned to the data

Degree 2

Degree 3

Degree 4

Degree 5