Multiple Linear Regression and its model
In other words, a linear model assumes that the dependent variable can be expressed as a linear function of the independent variables, plus an error term.
Linear models are widely used in a variety of fields, including science, engineering, business, and economics. They are used to make predictions, identify important relationships, and control for the effects of other variables.
Quadratic Model:
A quadratic model is a mathematical model that represents the relationship between a dependent variable (also known as the outcome or target variable) and an independent variable (also known as the predictor or explanatory variable) using a quadratic equation.
A quadratic equation is a polynomial equation of the second degree. The general form of a quadratic equation is:
ax^2 + bx + c = 0
where a, b, and c are real numbers and a ≠ 0.
The graph of a quadratic equation is a parabola. A parabola is a U-shaped curve that opens up or down. The vertex of the parabola is the point where the curve changes direction.
This model can be used to model a wide variety of real-world phenomena, such as the motion of a projectile, the growth of a population, and the production of a good or service.