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Calibration and Linear Regression Analysis: A Self-Guided ...

Calibration and Linear Regression Analysis: A Self-Guided TutorialPart 2 The Calibration Curve, Correlation Coefficient and Confidence LimitsCHM314 Instrumental AnalysisDepartment of Chemistry, University of TorontoDr. D. Stone (prepared by J. Ellis)1 The Calibration Curve and Correlation CoefficientEvery instrument used in chemical analysis can be characterised by a specific response function, that isan equation relating the instrument output signal (S) to the analyte concentration (C). This response functionmay be Linear , logarithmic, exponential, or any other appropriate mathematical form, depending on thenature of the behaviour of the system being measured, and the measurement process itself. While this maybe known theoretically, various factors (such as the specific analyte being measured, interference effectscaused by other components of the sample matrix, or random experimental errors) require that we calibrateeach instrument for the specific analyte and measurement conditions to be used in a particular Calibration curve is an empirical equation that relates the res

When preparing a calibration curve, there is always some degree of uncertainty in the calibration equation. To calculate the standard errors of the slope and the y-intercept, we require the residuals. The residual is the difference between the measured y-value and the y-value calculated from the calibration curve,

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