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Coefficient of Determination definitions

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  • Coefficient of Determination
    Quantifies how much variation in one variable is accounted for by another, often expressed as a percentage for clarity.
  • R Squared
    A value between zero and one indicating the proportion of explained variation, always positive due to squaring.
  • Linear Correlation Coefficient
    A measure ranging from negative one to positive one, showing both strength and direction of a linear relationship.
  • Regression Line
    A graphical representation summarizing the relationship between two variables, used to estimate explained variation.
  • Explained Variation
    The portion of total variation attributed to the linear relationship, calculated from distances to the regression line.
  • Total Variation
    The sum of squared distances from each data point to the mean, representing all variability in the dataset.
  • Mean
    A central value in the dataset, often used as a reference for measuring variation in regression analysis.
  • Scatterplot
    A visual tool displaying data points for two variables, useful for assessing linear correlation and regression fit.
  • Predictive Model
    A statistical approach using relationships between variables to estimate or forecast outcomes.
  • Unexplained Variation
    The portion of variability not accounted for by the linear relationship, often due to randomness or other factors.
  • Graphing Calculator
    A device used to input data and compute statistical values such as R and R squared efficiently.
  • LinReg
    A calculator function for performing linear regression, providing coefficients and measures of fit.
  • Percentage
    A way to express R squared, making interpretation of explained variation more intuitive for practical use.
  • Data Point
    An individual observation in a dataset, whose position relative to the regression line affects measures of variation.
  • Randomness
    Factors contributing to unexplained variation, including unpredictable influences outside the modeled relationship.