Calibration curve calculation

The optimal calibration curve is calculated by matching the curve to the calibration points. The curve calculation is based on a least squares fit (LSQ), which minimizes the sum of the residual squares. The curve type is applied to weighted calibration points. The calculation depends on the definition of the response factor (RF definition, see Response type and response factor).

With RF defined as Response per amount:

Σ(wt * (CalPointArea - CalculatedArea)²) = min

where
Σ	Sum over the calibration points (levels)
CalculatedArea	The area read from the curve at calibration level amount
CalPointArea	Calibration level area
wt	Calibration point weighting factor

Σ(wt * (CalPointHeight - CalculatedHeight)²) = min

where
Σ	Sum over the calibration points (levels)
CalculatedHeight	The height read from the curve at calibration level amount
CalPointHeight	Calibration level height
wt	Calibration point weighting factor

With RF defined as Amount per response:

Σ(wt * (CalPointAmount - CalculatedAmount)²) = min

where
Σ	Sum over the calibration points (levels)
CalculatedAmount	The amount read from the curve at calibration level area or height
CalPointAmount	Calibration level amount (corrected amount, calculated from compound amount in sample, sample-specific compound multipliers, and sample-specific compound dilution factors)
wt	Calibration point weighting factor