Description: Quadratic regression is a type of regression analysis in which the relationship between the independent variable and the dependent variable is modeled as a second-degree polynomial. This approach allows capturing nonlinear relationships in the data, which is especially useful when the relationship between the variables cannot be adequately described by a straight line. In quadratic regression, the general equation takes the form y = ax² + bx + c, where ‘y’ is the dependent variable, ‘x’ is the independent variable, and ‘a’, ‘b’, and ‘c’ are coefficients determined from the data. The inclusion of the quadratic term (x²) allows the resulting curve to take on a parabolic shape, which can reflect patterns of growth or decline in the data. This type of regression is particularly valuable in various fields, including economics, biology, and engineering, where relationships between variables are often complex and nonlinear. Quadratic regression can also help identify inflection points in the data, which can be crucial for informed decision-making.
