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Correlation Coefficient definitions

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  • Correlation Coefficient
    A numerical value between -1 and 1 that quantifies the strength and direction of a linear relationship between two variables.
  • Linear Correlation Coefficient
    A specific measure, denoted as r, that assesses how closely data points cluster around a straight line.
  • Direction
    Indicates whether the relationship between variables is positive or negative, based on the sign of r.
  • Strength
    Describes how tightly data points cluster around a trend line, with values near 1 or -1 showing strong association.
  • Positive Correlation
    A relationship where increases in one variable tend to accompany increases in the other, reflected by a positive r.
  • Negative Correlation
    A relationship where increases in one variable tend to accompany decreases in the other, reflected by a negative r.
  • No Correlation
    A situation where data points are scattered with no discernible trend, resulting in an r value near zero.
  • Scatter Plot
    A graphical display of paired data points used to visually assess trends or relationships between two variables.
  • Trend Line
    A straight line drawn through data points on a scatter plot to represent the general direction of the relationship.
  • Best Fit Line
    A line that most closely approximates the data in a scatter plot, minimizing the distance from all points.
  • Graphing Calculator
    An electronic device with statistical functions used to compute values like r efficiently from data sets.
  • Diagnostic On
    A calculator setting that enables the display of statistical measures such as r and r squared in output.
  • Stat Menu
    A calculator feature providing access to data entry, editing, and statistical calculations.
  • LinReg
    A calculator function that performs linear regression analysis and outputs values including r and r squared.
  • r Squared
    A value displayed alongside r in calculator output, representing the proportion of variance explained by the model.