curve fitting
Modeling scattered points
Curve fitting is the process of finding a mathematical function that best matches a set of data points.
In statistics and science, you fit a curve to observed data to reveal trends, make predictions, or test hypotheses: The researchers used curve fitting to model population growth.
The fitted curve may be a straight line (linear regression) or more complex shapes depending on the data's behavior.
Return to former state
- least squaresError-minimizing statistical method
- polynomialExpression with variable terms
- residualsOngoing compensation for rebroadcasts
- chi-squareStatistic for categorical data
degrees of freedom · variance · correlation · covariance · ANOVA · parametric · nonparametric · power law
Flexible strip for drafting
- piecewiseMulti-rule function definition
- knotsSecured loops in rope
- control pointsAnchors defining curve geometry
- NURBSMathematical curve representation
data points · continuity · bilinear · mesh
Extending data beyond bounds
- forecastingEstimating future conditions
- trend analysisExamining directional data shifts
- projectionSomething that extends outward
- estimationApproximate value judgment
Excess adaptation to samples
- underfittingModel too simple
- cross-validationResampling method for model assessment
- training setData used to teach models
- regularizationPenalty preventing model complexity
scatter plot · outliers · leverage · generalization · holdout
Making as small as possible
- convergenceProcess of approaching sameness
- local minimumLowest nearby, not overall
- iterativeInvolving repeated cycles
- HessianGerman soldier-for-hire, 1770s
regression
Return to former state
- least squaresError-minimizing statistical method
- polynomialExpression with variable terms
- residualsOngoing compensation for rebroadcasts
chi-square · degrees of freedom · variance · correlation · covariance · ANOVA · parametric · nonparametric · power law · coefficient
spline
Flexible strip for drafting
- piecewiseMulti-rule function definition
- knotsSecured loops in rope
- control pointsAnchors defining curve geometry
NURBS · data points · continuity · bilinear · mesh
extrapolation
Extending data beyond bounds
- forecastingEstimating future conditions
- trend analysisExamining directional data shifts
- projectionSomething that extends outward
estimation · trend line · asymptote · time series · prognostics
overfitting
Excess adaptation to samples
- underfittingModel too simple
- cross-validationResampling method for model assessment
- training setData used to teach models
regularization · scatter plot · outliers · leverage · generalization · holdout
minimization
Making as small as possible
- convergenceProcess of approaching sameness
- local minimumLowest nearby, not overall
- iterativeInvolving repeated cycles
- math toolscalculator, abacus, graphing calculator, scientific calculator, straightedge
- applied mathlinear programming, differential equations, statistical methods, probability, statistics
- forecastingforecast, prediction, prognosis, outlook, estimate
- pharmacologypharmacology, drugs, pharmacokinetics, dose, drug
- approximationinterpolation, spline interpolation, extrapolation, least squares
- computational mathalgorithm, linear algebra, calculus, differential equations, finite element