Quadratic Regression Calculator

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What is the Quadratic Regression?

Quadratic regression is a statistical technique used to find the equation of the parabola that best fits a set of data.

This type of regression is an extension of simple linear regression that is used to find the equation of the straight line that best fits a set of data.

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How does Quadratic Regression Work?

Quadratic regression employs a quadratic equation to describe the connection between the dependent and independent variables. This quadratic equation is a second-degree polynomial expressed in the following form:

y = a + bx + cx2

  • y is the dependent variable
  • x is the independent variable
  • a,b,c are the coefficients of the quadratic equation.

The objective of quadratic regression is to determine the optimal values of a, b, and c in order to minimize the disparity between predicted y-values and the real y-values. This optimization is achieved through a technique known as the least squares method, which entails minimizing the sum of the squared deviations between the predicted and actual y-values.