Finding the Error Between Two Points

  • Context: High School 
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Discussion Overview

The discussion revolves around defining and measuring the "error" between two points in a coordinate system, particularly in the context of comparing a true location to an estimated one. It also explores the concept of overlap between two boxes and how to quantify that overlap.

Discussion Character

  • Exploratory, Conceptual clarification, Debate/contested

Main Points Raised

  • One participant questions the concept of "error" between points, suggesting that distance is the primary measurement, expressed mathematically as the Euclidean distance formula.
  • Another participant proposes that if one point represents a true location, the distance to a second point could be interpreted as a measure of how "off" the second point is.
  • A different participant introduces a scenario involving two overlapping boxes and asks if there is a method to calculate the percentage of overlap between a "wrong" box and a "true" box.
  • One response suggests calculating the areas of the boxes as a potential approach to understanding their overlap.

Areas of Agreement / Disagreement

Participants express differing views on the definition of error, with some focusing on distance while others consider the context of overlap. The discussion remains unresolved regarding the best methods to quantify error and overlap.

Contextual Notes

The discussion does not clarify assumptions regarding the definitions of "true" and "wrong" boxes, nor does it resolve the mathematical steps needed to calculate overlap percentages.

ACLerok
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if given two points each with different x and y coordinates, what is the best way to define the error between these two points?
 
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How do points have an "error"? About the only measurement I see is the distance between the points:
[tex]\sqrt{(x_1-x_2)^2+ (y_1-y_2)^2}[/itex][/tex]
 
Like if one point is the true location and you want to say how much off the second point is. I guess the distance between them would be the best way to display this...
 
say there are two boxes that are not equal in size but close that are overlapping. is there an equation that can calculate how much the "wrong" box is covering the "true" box in percentage form?
 
Work out the areas.
 

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