Regression Suite
LivePhysics™
Scatter Plot with Fitted Curves
linear (R²=0.9992)quadratic (R²=0.9993)cubic (R²=0.9994)exponential (R²=0.8820)logarithmic (R²=0.9151)power (R²=0.9992)
Data Input
Model Comparison
linearR² = 0.9992
y = -0.02143 + 2.013x
quadraticR² = 0.9993
y = 0.1125 + 1.933x + 0.008929x^2
cubic (best)R² = 0.9994
y = -0.1 + 2.154x + -0.04903x^2 + 0.004293x^3
exponentialR² = 0.8820
y = 2.191e^{0.2752x}
logarithmicR² = 0.9151
y = 0.1446 + 6.709ln(x)
powerR² = 0.9992
y = 2.01x^{0.9992}
Predictions at x = 10
linear20.11
quadratic20.33
cubic20.83
exponential34.34
logarithmic15.59
power20.07
Step-by-Step
1. Linear regression (least squares)
2. Slope and intercept
3. Linear equation
4. Best fit model
Reference Guide
Free regression calculator. Fit linear, quadratic, cubic, exponential, logarithmic, and power models to data. Compare R-squared values and predict new values.
Least Squares
primary
R-Squared
secondary
Model Selection
tertiary
Prediction
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Related Labs
Regression & Residual Diagnostics Lab
Fit linear, quadratic, and exponential models then diagnose fit with residual plots, leverage, Cook's distance, and Q-Q plots. Explore Anscombe's Quartet to see why R² alone is not enough
Exponential & Logarithmic Modeling Lab
Model growth and decay with exponential functions. Compute half-life and doubling time, explore logarithmic inverses, and fit exponential and logarithmic models to data with R² comparison
Polynomial & Rational Functions Lab
Analyze polynomial roots, end behavior, and turning points. Explore rational functions with vertical/horizontal/oblique asymptotes and holes using interactive JSXGraph plots
Quadratic Functions & Parabolas Lab
Explore standard, vertex, and intercept forms of quadratic functions. Find the vertex, axis of symmetry, roots, and discriminant. Complete the square and compare all three forms with an interactive parabola graph
