In a multiple regression analysis with three independent variables (X1, X2, and X3), what is the general form of the regression equation used to model the relationship between the dependent variable (Y) and the independent variables (X1, X2, and X3)?
Multiple regression analysis is a statistical method used to examine the relationship between a dependent variable and multiple independent variables. The general form of the regression equation in a multiple regression analysis with three independent variables (X1, X2, and X3) is a mathematical representation of the relationship between the dependent variable (Y) and the independent variables (X1, X2, and X3). This equation can be used to predict the value of the dependent variable based on the values of the independent variables. The coefficients in the equation represent the strength and direction of the relationship between each independent variable and the dependent variable. In this equation, the intercept term represents the expected value of the dependent variable when all independent variables are equal to zero, and the error term represents the residual variation not explained by the independent variables.
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