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Let (a1, b1),..., (an, bn) be n points in the plane R². Supop L with equation y = ax + ẞ, such that the sum of the ver (ai, bi) to L is minimized. We set up the following piecewise n

Let (a1, b1),..., (an, bn) be n points in the plane R². Supop L with equation y = ax + ẞ, such that the sum of the ver (ai, bi) to L is minimized. We set up the following piecewise n

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 31E
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If you need to solve the piecewise linear convex problem above, would you choose to solve the primal problem or the dual problem? Explain.

Let (a1, b1),..., (an, bn) be n points in the plane R2. Supopse we are trying to find a line L with equation y = ax + ẞ, such that the sum of the vertical distances from the points. (ai, bi) to L is minimized. We set up the following piecewise linear convex problem: n min|aar + B = bi| α,β i=1 Note that here a, ẞ are the variables and that they are free variables.
Transcribed Image Text:Let (a1, b1),..., (an, bn) be n points in the plane R2. Supopse we are trying to find a line L with equation y = ax + ẞ, such that the sum of the vertical distances from the points. (ai, bi) to L is minimized. We set up the following piecewise linear convex problem: n min|aar + B = bi| α,β i=1 Note that here a, ẞ are the variables and that they are free variables.
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