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multiple regression analysis

statistics

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Multiple regression analysis is a statistical technique used to estimate one variable based on the values of more than one other variable. It extends simple linear regression by incorporating multiple independent variables to predict a dependent variable.12

The general form of the multiple regression model is:
(y = \beta_0 + \beta_1x_1 + \beta_2x_2 + ... + \beta_px_p + \epsilon)

Here, y is the dependent variable, x1 through xp are the independent variables, (\beta_0) through (\beta_p) are the model parameters, and (\epsilon) represents the error term that accounts for variability in y not explained by the independent variables. This method helps in understanding and quantifying the relationship between several factors and an outcome.2

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