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Quadratic Regression definitions

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  • Quadratic Regression
    A statistical method modeling data with a curved equation, ideal for nonlinear trends resembling a U or inverted U shape.
  • Quadratic Equation
    A mathematical expression in the form ax² + bx + c, where the squared term introduces curvature to the graph.
  • Coefficient of Determination
    A value, often called R², indicating how well a model fits data; values near 1 show a strong fit.
  • Graphing Calculator
    A handheld device, such as the TI-84, used to input data, perform regression analysis, and graph equations.
  • Best Fit Curve
    A curve that most closely follows the pattern of data points, minimizing the overall distance from each point.
  • Nonlinear Data
    A dataset where the relationship between variables forms a curve rather than a straight line.
  • Stat Menu
    A calculator feature allowing users to enter, edit, and analyze statistical data for regression calculations.
  • Y1
    A calculator variable where regression equations are stored for easy graphing and visualization.
  • R Squared Value
    A numerical measure showing how closely the regression curve matches the actual data points.
  • Predictive Analytics
    The practice of using statistical models to forecast future outcomes based on current or historical data.
  • Regression Analysis
    A statistical approach for estimating relationships among variables, often used for prediction and modeling.
  • Stat Plot
    A calculator function that displays data points on a graph, aiding in visualizing regression results.
  • Window Settings
    Graphing calculator parameters that define the visible range for x and y axes, ensuring all data is displayed.
  • Curvature
    The degree to which a graph bends, determined by the coefficient of the squared term in a quadratic equation.
  • Data Mining
    The process of analyzing large datasets to discover patterns, often using regression techniques for insights.