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Scatterplots & Intro to Correlation definitions

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  • Scatterplot
    A graph displaying paired numerical data as points on an x-y coordinate system to reveal relationships between two variables.
  • Paired Data
    A set of numerical values where each entry in one variable corresponds directly to an entry in another variable.
  • Independent Variable
    A quantity plotted on the x-axis, often manipulated or chosen first, influencing the dependent variable.
  • Dependent Variable
    A quantity plotted on the y-axis, whose values are determined by or respond to the independent variable.
  • Correlation
    A statistical relationship or trend between two variables, visible as a pattern or direction in a scatterplot.
  • Positive Correlation
    A trend where increases in one variable are associated with increases in the other, forming an upward pattern.
  • Negative Correlation
    A trend where increases in one variable are associated with decreases in the other, forming a downward pattern.
  • Linear Correlation
    A relationship where data points align closely to a straight line, indicating a constant rate of change.
  • Nonlinear Relationship
    A pattern where data points form a curve or shape other than a straight line, such as a parabola.
  • No Correlation
    A situation where data points show no discernible pattern or relationship between the variables.
  • Causation
    A direct cause-and-effect link between variables, which cannot be assumed solely from correlation.
  • Graphing Calculator
    A technological tool used to input data, adjust settings, and visualize scatterplots efficiently.
  • X-Axis
    The horizontal axis on a graph, typically representing the independent variable in a scatterplot.
  • Y-Axis
    The vertical axis on a graph, typically representing the dependent variable in a scatterplot.
  • Window Settings
    Adjustable parameters on a graphing calculator that define the visible range for axes to display data accurately.