Calibration Curve Calculator (Linear Regression)
Create a calibration curve, calculate the regression line (y = mx + b), examine R², and solve for unknown concentrations with your instrument responses.
Known Data Points
Add at least three pairs of concentration (X) and response (Y) readings.
Scatter plot of the entered data (blue) and the best-fit line (pink).
How to Use This Calculator
Begin by entering known concentration-response pairs. Each row stores a verified point from the instrument, so keep the readings tidy and avoid duplicates. Click "Add Point" to include more pairs or remove the ones you no longer want.
Type the response value measured from the unknown sample, then tap Calculate to refresh the regression line, the R² quality score, and the solved concentration.
Methodology
The tool computes the least-squares regression line (y = mx + b) using all valid (X,Y) pairs. R² is derived from the coefficient of determination, and the unknown concentration is solved by rearranging the line equation once the slope (m) and intercept (b) are known.
Why Use This Calculator
- Instantly calculate the regression equation y = mx + b.
- Verify the quality of your data with the R² value.
- Find unknown concentrations from your instrument readings.
- Visualize your data points and the best-fit line on a scatter plot.
- Mobile-first design for use in the lab or at your desk.
Related Chemistry Tools
Full original guide (expanded)
The audit spine for this calculator originally documented the formulas, sources, and changelog that now live in the verification panel below. Everything here maintains the same references and verification metadata so you can trace the legacy guidance.