14.3 (2.14) Consider the two points p₁ = (1,0), P2 = (2, 1) in R². (a) Let me R. Find a point på € R² so that the least squares approximation to {P1, P2, P3} has slope m. (b) Let a > 3 € R. Find points P3, P4 E R² so that the degree 2 least squares approxi- mation to {P₁, P2, P3, P4} has its vertex on the line x = a.

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14.3 (2.14) Consider the two points p₁
=
(1,0), P2 =
(2, 1) in R².
(a) Let m € R. Find a point p3 € R² so that the least squares approximation to
{P₁, P2, P3} has slope m.
(b) Let a ≥ 3 € R. Find points p3, P4 € R² so that the degree 2 least squares approxi-
mation to {P₁, P2, P3, P4} has its vertex on the line x = a.
Transcribed Image Text:14.3 (2.14) Consider the two points p₁ = (1,0), P2 = (2, 1) in R². (a) Let m € R. Find a point p3 € R² so that the least squares approximation to {P₁, P2, P3} has slope m. (b) Let a ≥ 3 € R. Find points p3, P4 € R² so that the degree 2 least squares approxi- mation to {P₁, P2, P3, P4} has its vertex on the line x = a.
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