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Multiple Regression - Excel definitions

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  • Multiple Regression
    A statistical method analyzing how several independent variables collectively influence a single dependent variable.
  • Independent Variable
    A factor in a regression model used to predict or explain changes in the dependent variable.
  • Dependent Variable
    The outcome or response in a regression model influenced by one or more independent variables.
  • Coefficient
    A numerical value in a regression equation representing the effect size of an independent variable.
  • Y Intercept
    The constant term in a regression equation indicating the predicted value when all predictors are zero.
  • R Squared
    A measure showing the proportion of variation in the dependent variable explained by the model's predictors.
  • Adjusted R Squared
    A refined metric that accounts for the number of predictors, penalizing irrelevant variables to improve model quality.
  • Irrelevant Variable
    A predictor that lacks a logical or predictive relationship with the dependent variable, reducing model effectiveness.
  • Relevant Variable
    A predictor with a clear, logical, and predictive connection to the dependent variable, enhancing model accuracy.
  • Data Analysis Toolpak
    An Excel add-in providing tools for statistical analysis, including regression modeling and output generation.
  • Overfitting
    A modeling issue where too many predictors cause the model to fit noise rather than meaningful patterns.
  • Predictive Relationship
    A logical connection where changes in one variable can be used to anticipate changes in another.
  • Double Dipping
    Including multiple predictors that provide overlapping information, leading to redundancy in the model.
  • Coefficient of Determination
    Another term for R squared, indicating the explanatory power of the regression model.
  • Regression Equation
    A mathematical formula expressing the relationship between the dependent variable and its predictors.