Polynomial Regression

Polynomial regression is a type of regression analysis in which the relationship between the independent variable x and the dependent variable y is modeled as an nth degree polynomial. It is a form of nonlinear regression that allows for more complex relationships between the variables. Polynomial regression can be used to model a wide range of phenomena, including growth rates, population sizes, and economic trends. The degree of the polynomial can be chosen based on the complexity of the relationship between the variables and the amount of data available. Higher degree polynomials can fit the data more closely, but may also overfit the data and lead to poor generalization to new data. Polynomial regression can be performed using various optimization techniques, such as least squares or gradient descent.
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