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Quadratic Regression - Excel definitions

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  • Quadratic Regression
    A statistical method modeling data with a parabolic curve, ideal for datasets showing curvature rather than linearity.
  • Scatter Plot
    A graphical representation displaying individual data points to reveal relationships or patterns between two variables.
  • Polynomial Trend Line
    A curve fitted to data points in a chart, representing a polynomial equation, often used to capture non-linear trends.
  • Order Two
    A polynomial degree indicating the equation includes a squared term, forming a quadratic model with a parabolic shape.
  • Regression Equation
    A mathematical formula derived from data, used to predict values and describe the relationship between variables.
  • Coefficient of Determination
    A value quantifying how well a model explains variation in the dependent variable, with values near 1 indicating strong fit.
  • R Squared
    A statistic measuring the proportion of variance in the outcome variable explained by the model, often displayed on charts.
  • Intercept
    The constant term in a regression equation, representing the predicted value when the independent variable equals zero.
  • X Squared Coefficient
    The numerical value multiplying the squared independent variable in a quadratic equation, influencing the curve's direction.
  • Axis Titles
    Labels added to chart axes to clarify the variables represented, enhancing interpretability of visual data displays.
  • Chart Title
    A descriptive heading for a chart, summarizing its content and aiding in quick identification of the dataset analyzed.
  • Predicted Value
    An estimated outcome calculated by substituting a specific input into the regression equation, used for forecasting.
  • Y Hat
    A notation for the predicted value of the dependent variable, obtained from the regression equation for a given input.
  • Data Table
    An organized arrangement of values for variables, serving as the foundation for creating charts and performing regression.
  • Parabola
    A symmetrical, curved shape characteristic of quadratic equations, visually represented in scatter plots with arch patterns.