Deming regression: Difference between revisions

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Application: Can humans perform mental regression on a graph? Accuracy and bias in the perception of scatterplots
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In the case of three [[Line (geometry)|non-collinear]] points in the plane, the [[triangle]] with these points as its [[vertex (geometry)|vertices]] has a unique [[Steiner inellipse]] that is tangent to the triangle's sides at their midpoints. The [[Ellipse#Elements of an ellipse|major axis of this ellipse]] falls on the orthogonal regression line for the three vertices.{{sfn|Minda|Phelps|2008|loc=Corollary 2.4}} The quantification of a biological cell's intrinsic [[cellular noise]] can be quantified upon applying Deming regression to the observed behavior of a two reporter [[synthetic biological circuit]].{{sfn|Quarton|2020}}
 
When humans are asked to draw a linear regression on a scatterplot by guessing, their answers are closer to orthogonal regression than to ordinary least squares regression.<ref>{{cite journal |last1=Ciccione |first1=Lorenzo |last2=Dehaene |first2=Stanislas |title=Can humans perform mental regression on a graph? Accuracy and bias in the perception of scatterplots |journal=Cognitive Psychology |date=August 2021 |volume=128 |pages=101406 |doi=10.1016/j.cogpsych.2021.101406}}</ref>
 
== York regression ==