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Calibration curve calculator

Convert between analytical signal and concentration with a linear calibration, or solve sensitivity and background from a known measurement.

Calculator

Concentration
3.000000
Signal
7.000000
Sensitivity
2.000000
Background
1.000000
Calibration line Line chart. The data table follows. 0 0 1.5 3.25 3 6.5 4.5 9.75 6 13 Concentration (calibration units) Signal
Calibration line data
SeriesConcentration (calibration units)Signal
Calibration01
Calibration613

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How this calculator works

Use a previously established straight-line calibration in the same units as the sample measurement. The intercept represents the blank or background; the slope converts concentration to signal. Negative slopes and backgrounds are permitted, but inferred concentrations must be nonnegative. This page evaluates coefficients you supply; it does not fit standards or estimate measurement uncertainty. A line drawn beyond measured standards is an extrapolation.

Formula

y = a x + b; x = (y - b)/a; a = (y - b)/x; b = y - a x.

Worked example

For a sensitivity of 2 and background of 1, a signal of 7 corresponds to concentration 3. A concentration of 4 with sensitivity 3 and background -2 gives signal 10.

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Frequently asked questions

Which concentration units should I use?

Use the units used to determine your sensitivity, such as mg/L or micromol/L.

Can the slope be zero?

A flat response can predict signal, but it cannot identify a concentration.

Does a line prove assay validity?

No. Check the standards, residuals, working range and matrix effects for your assay.

Sources

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