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Coefficient of Determination definitions

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  • Coefficient of Determination
    Quantifies the proportion of variation in a dependent variable explained by its relationship with an independent variable.
  • Linear Correlation Coefficient
    Indicates the strength and direction of a linear relationship between two variables, ranging from -1 to 1.
  • Explained Variation
    Represents the portion of total variation in data accounted for by the regression line.
  • Total Variation
    Sum of squared differences between observed values and their mean, reflecting overall data spread.
  • Regression Line
    A straight line that best fits the data points, used to model the relationship between variables.
  • Dependent Variable
    The outcome or response in a dataset, whose variation is being analyzed or predicted.
  • Independent Variable
    The predictor or input in a dataset, used to explain changes in the dependent variable.
  • R Squared Value
    A value between 0 and 1 showing how much of the dependent variable's variation is explained by the model.
  • Unexplained Variation
    The portion of total variation not accounted for by the regression model, often due to randomness or other factors.
  • Scatterplot
    A graphical display of data points for two variables, used to visualize relationships and patterns.
  • Predictive Modeling
    The process of using statistical techniques to forecast outcomes based on input data.
  • Mean
    The average value of a dataset, serving as a reference point for measuring variation.
  • Percentage of Variation
    The proportion of total variation in a dataset expressed as a percent, often used to interpret R squared.
  • Graphing Calculator
    A tool used to input data and compute statistical measures like R and R squared efficiently.