Consider the points + (xo, yo) (x1, y₁) (x2, 12) (X3, 13) (X4, Y4) = = (-3,-4), (-1, 1), (0, 1), X = = = Find the best linear fit for these points, i.e., the function of the form p(x) = a + bx such that the sum of the squared errors |p(x;) — y¡|² is as small as possible. - Answer: p(x) = (2,5), (3,9).

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Consider the points
(xo, yo)
(x₁, y₁)
(x2, Y2)
(X3, Y3)
(X4, Y4)
+
=
X
=
=
=
=
(-3,-4),
(-1, 1),
(0, 1),
Find the best linear fit for these points, i.e., the function of the form p(x) = a + bx such that the sum of the squared errors
\p(x;) — y¡ |² is as small as possible.
Answer: p(x) =
(2,5),
(3,9).
Transcribed Image Text:Consider the points (xo, yo) (x₁, y₁) (x2, Y2) (X3, Y3) (X4, Y4) + = X = = = = (-3,-4), (-1, 1), (0, 1), Find the best linear fit for these points, i.e., the function of the form p(x) = a + bx such that the sum of the squared errors \p(x;) — y¡ |² is as small as possible. Answer: p(x) = (2,5), (3,9).
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