Linear model :
Linear model is a mathematical model that represents the relationship between a dependent variable and one or more independent variables by using a linear equation. This model assumes that the relationship between the dependent and independent variables is linear, which means that the change in the dependent variable is directly proportional to the change in the independent variable.
For example, consider the relationship between the weight of an object and its volume. The weight of an object is directly proportional to its volume, which means that if the volume of the object increases, the weight of the object will also increase. This relationship can be represented by a linear equation, where the weight is the dependent variable and the volume is the independent variable.
Another example of a linear model is the relationship between the price of a product and its demand. The price of a product is directly proportional to its demand, which means that if the price of a product increases, the demand for the product will decrease. This relationship can also be represented by a linear equation, where the price is the dependent variable and the demand is the independent variable.
Linear model is a simple and widely used model in many fields, such as economics, engineering, and statistics. It is useful in predicting the behavior of a dependent variable based on the values of the independent variables. It is also useful in identifying the factors that affect the dependent variable, and in estimating the effects of these factors on the dependent variable.
Linear model has some limitations, such as the assumption of linearity, which may not always hold in real-world situations. In some cases, the relationship between the dependent and independent variables may be nonlinear, which means that the change in the dependent variable may not be directly proportional to the change in the independent variable. In such cases, the linear model may not provide accurate predictions or estimates.
Despite its limitations, linear model is a powerful tool for analyzing and understanding the relationship between variables. It is a simple and intuitive model that is widely used in many fields, and it has proven to be effective in predicting and estimating the behavior of variables.