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A multiple regression model is a statistical model used to analyze the relationship between variables and predict outcomes based on those variables. It involves multiple independent variables (also known as predictors or regressors) and one dependent variable (also known as the outcome or response variable). The model estimates the coefficients for each independent variable, which represent the strength and direction of the relationship between the independent variable and the dependent variable.
Multiple regression can be used for various purposes, such as:
1. Predictive modeling: By using multiple predictors, the model can make predictions about the dependent variable based on the values of the independent variables.
2. Understanding relationships: The coefficients obtained from the model can provide insights into the strength and direction of the relationships between the independent variables and the dependent variable.
3. Control for confounding variables: By including multiple predictors, the model can control for potential confounding variables that may influence the relationship between the independent and dependent variables.
4. Hypothesis testing: Multiple regression can be used to test whether the coefficients of the independent variables are significantly different from zero, indicating if there is a statistically significant relationship between the variables.
The model assumes a linear relationship between the independent variables and the dependent variable, and that the errors (or residuals) are normally distributed and have constant variance. It is important to ensure that the assumptions of the multiple regression model are met before interpreting the results.
Overall, multiple regression is a useful statistical tool for analyzing complex relationships between variables and making predictions based on those relationships.
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