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Least Squares 1

Least Squares 1
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2019-11-18 10:48
VectorCoordinate GeometryOptimization
In collections Exploring Orthogonality
This example demonstrates the basic principle of the least squares method, a technique used to fit data points by minimizing the sum of the squares of the errors. The construction uses commands like plane, segment, and polygon to illustrate how this concept can be understood geometrically. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Plane(O, V, U) → p
  2. Segment(Y, w) → d
  3. Polygon(Q_{2}, P_{2}, 4) → poly1, g, h, i, j, A, B
  4. Polygon(Q_{3}, P_{3}, 4) → poly2, k, l, n, q, C, D
  5. Polygon(Q_{1}, P_{1}, 4) → poly3, r, t, a, e, E, F

AI Drawing Prompt Reference

Draw a plane with an origin and two non-parallel vectors, then create three quadrilaterals on this plane by connecting four sets of points each, and connect the start and end points with line segments to illustrate the geometric meaning of the least squares method.
The prompt above was compiled from the original drawing commands and is for reference only.