curvilinear regression

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curvilinear regression

A scientist plots a curvilinear regression on a graph.

Definition
  1. Noun:
    • A statistical relationship between variables where the regression equation is nonlinear: "Curvilinear regression" describes a type of statistical analysis used to model a relationship between a dependent variable and one or more independent variables that is not a straight line. The regression equation involves polynomial terms (like quadratic, cubic) or other nonlinear functions.
Usage Examples
  • Noun:
    • The data showed a clear curve, so the analyst used curvilinear regression to model the relationship.
    • A simple linear model was insufficient; curvilinear regression provided a much better fit to the experimental results.
Advanced Usage
  • "to fit a curvilinear regression": to apply a curvilinear regression model to a dataset.
    • The researcher decided to fit a curvilinear regression to account for the diminishing returns effect.
Variants and Related Words

  • Curvilinear relationship (n): The nonlinear association between variables that curvilinear regression aims to model.

    • The scatter plot revealed a curvilinear relationship between temperature and reaction rate.

  • Polynomial regression (n): A specific and common type of curvilinear regression where the relationship is modeled with polynomial terms.

    • Quadratic regression, a form of polynomial regression, is a simple case of curvilinear regression.

  • Nonlinear regression (n): A broader category of regression analysis that includes curvilinear regression as a subset.

    • Curvilinear regression is one approach within the field of nonlinear regression.
Synonyms
  • Nonlinear regression: A general term for regression analysis that models data with a nonlinear equation.
Related Terms and Concepts

  • Linear regression (n): The contrasting statistical method that models the relationship between variables with a straight line.

    • When the data plot is not a straight line, curvilinear regression is preferred over linear regression.

  • Coefficient of determination (R-squared) (n): A statistical measure used in both linear and curvilinear regression to indicate how well data fits the model.

    • The R-squared value improved significantly when we switched from a linear to a curvilinear regression model.
curvilinear regression

A scientist plots a curvilinear regression on a graph.

Noun
  1. the relation between variables when the regression equation is nonlinear (quadratic or higher order)