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Quadratic Regression definitions

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  • Quadratic Regression
    A statistical method modeling nonlinear data with a curve, using a second-degree equation to best fit observed values.
  • Quadratic Equation
    An expression in the form ax²+bx+c, where the squared term introduces curvature to the relationship between variables.
  • Coefficient of Determination
    A value, often denoted as R², indicating how well a regression curve fits the data; values near 1 show strong fit.
  • Curvature
    The characteristic of a graph that bends, distinguishing quadratic models from linear ones by their U-shaped or inverted U-shaped patterns.
  • TI-84 Calculator
    A graphing device used to input data, perform regression analysis, and visualize equations for statistical modeling.
  • Stat Menu
    A calculator interface section where data lists are entered and regression functions are accessed for analysis.
  • L1
    A default list in calculators for storing independent variable data, typically used as the x-values in regression.
  • L2
    A default list in calculators for storing dependent variable data, typically used as the y-values in regression.
  • Y1
    A calculator variable where regression equations are stored, enabling easy graphing and visualization of fitted curves.
  • Window Settings
    Parameters on a calculator that define the visible range for x and y axes, ensuring all relevant data points and curves are displayed.
  • Stat Plot
    A calculator feature that enables the display of data points on a graph, facilitating comparison with regression curves.
  • Regression Curve
    A graphical representation of the best-fit equation, showing the modeled relationship between variables in a dataset.
  • Data Points
    Individual values in a dataset, plotted to visualize trends and assess the fit of regression models.
  • Predictive Analytics
    The use of statistical models to forecast future outcomes based on patterns observed in historical data.
  • Dependent Variable
    The outcome measured in regression analysis, whose values are influenced by changes in the independent variable.