The least squares line ŷ =10 + 5x describes the following coordinates: (1, 15), (2, 20), (3, 25), and (4, 30). Using these data as a specific example, explain the meaning of "least squares." The line ŷ = 10 + 5x minimizes the sum of the squared horizontal distances from the points to the line. The line ŷ = 10 + 5x minimizes the sum of the squared difference between the x and y values. The line ŷ = 10 + 5x minimizes the sum of the vertical distances from the points to the line. The line ŷ = 10 + 5x minimizes the square of the standard deviation. The line ŷ = 10 + 5x minimizes the sum of the squared vertical distances from the points to the line.

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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The least squares line ŷ =10 + 5x describes the following coordinates: (1, 15), (2, 20), (3, 25), and (4, 30). Using these data as a specific example, explain the meaning of "least squares."

	The line ŷ = 10 + 5x minimizes the sum of the squared horizontal distances from the points to the line.
	The line ŷ = 10 + 5x minimizes the sum of the squared difference between the x and y values.
	The line ŷ = 10 + 5x minimizes the sum of the vertical distances from the points to the line.
	The line ŷ = 10 + 5x minimizes the square of the standard deviation.
	The line ŷ = 10 + 5x minimizes the sum of the squared vertical distances from the points to the line.