We have found the least squares approximating line for the given points. Now we want to know the least squares error associated with the line. We have A and b constructed from the coordinates of the given points. ´1 1 A =|1 2 1 3 b = 14 We found x = is the vector corresponding to the constants of the least squares approximating line. The error vector is found as follows. e = b - AX 11 1 2 7 14 1 3 -2 -4 2 Find the least squares error. ||e|| ) + c-4)² + (2)?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.6: Variation
Problem 16E
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We have found the least squares approximating line for the given points. Now we want to know the least
squares error associated with the line.
We have A and b constructed from the coordinates of the given points.
1 1
1 2
A =
b =
1 3
14
6-
We found x
the vector corresponding to the constants of the least squares approximating line.
7
The error vector is found as follows.
e = b - Ax
1 1
1
1 2
7
14
1 3
-2
-4
2
Find the least squares error.
|e || =
) + (-4)² + (2)²
Transcribed Image Text:We have found the least squares approximating line for the given points. Now we want to know the least squares error associated with the line. We have A and b constructed from the coordinates of the given points. 1 1 1 2 A = b = 1 3 14 6- We found x the vector corresponding to the constants of the least squares approximating line. 7 The error vector is found as follows. e = b - Ax 1 1 1 1 2 7 14 1 3 -2 -4 2 Find the least squares error. |e || = ) + (-4)² + (2)²
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