Provide detailed information about the function structures of regression models. (model structure, interpretation of coefficients, graph...

Provide detailed information about the function structures of regression models. (model structure, interpretation of coefficients, graph for the relationship between variables, if any, etc.)

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Expert Solution

A relation between X and Y as Y = f ( X ) is said to be a regression function.

Nonstochastic regression function:

Where for each value independent variable x .There is one and only one value of dependent variable Y.

Stochastic regression function:

Where for each value independent variable x .There is a whole probability distribution of values of dependent variable Y. There are many regression models to estimate the correct value of y such as:-

The simple linear regression model, multiple regression model , Log regression model ,The regression model with or without error term ,The regression model with least square estimates etc

Parameters in the regression structure:--

Y = a + b x

Where x is the independent variable

Y is dependent varial

a is intercept parameter

b is The regression coefficient

Rahul Sunny answered 1 year ago

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