G. Let x1, x2, ..., xn; Y1, Y2; ..., Yn E R and let f : R² –→ R where f(m, b) =(yi – mx; – b)? %3D i=1 Show that f attain relative minimum at (m, b) = (mo, bo) where 1 bo > Yi – mo n i=1 i=1 and mo n E1 ti – (E-1 Ti)² Hint: Find all critical point (mo, bo) and apply Second Derivative Test.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 12T
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G.
Let x1, x2, ..., Xn, Y1, Y2, ..., Yn E R and let f : R? → R where
f(m, b) =
(yi – mx; – b)?
|
i=1
Show that f attain relative minimum at (m, b) = (mo, bo) where
%3D
n
1
bo
> Yi – mo
Xi
i=1
i=1
and
-
mo
n E1 ti – (E T;)?
Hint: Find all critical point (mo, bo) and apply Second Derivative Test.
Transcribed Image Text:G. Let x1, x2, ..., Xn, Y1, Y2, ..., Yn E R and let f : R? → R where f(m, b) = (yi – mx; – b)? | i=1 Show that f attain relative minimum at (m, b) = (mo, bo) where %3D n 1 bo > Yi – mo Xi i=1 i=1 and - mo n E1 ti – (E T;)? Hint: Find all critical point (mo, bo) and apply Second Derivative Test.
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