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A6 Assume that the least squares regression model Y₁ = a + Bxi + Ei has been fitted to paired data (x₁, y₁),..., (xn, Yn). Which quantity is minimised to obtain least squares estimators â and for the parameters a and B? n A: Σ(yi ;-α + Bx₂) ² i=1 n B: Σyi -a - - Bxi| i=1 n C: Σyi -a + Bx₂| i=1 n D: i=1 a - Bx;) ² (₁-c -

A6 Assume that the least squares regression model Y₁ = a + Bxi + Ei has been fitted to paired data (x₁, y₁),..., (xn, Yn). Which quantity is minimised to obtain least squares estimators â and for the parameters a and B? n A: Σ(yi ;-α + Bx₂) ² i=1 n B: Σyi -a - - Bxi| i=1 n C: Σyi -a + Bx₂| i=1 n D: i=1 a - Bx;) ² (₁-c -

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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A6 Assume that the least squares regression model Y₁ = a + Bx; + &; has been fitted to paired data (x1, y₁),..., (Xn, Yn). Which quantity is minimised to obtain least squares estimators â and for the parameters a and 3? n 2 Α: Σ(yi - -α + Bx₂) ² i=1 n B: Σy; - a-βxi| i=1 n c: Σ\ui - a + βæi| i=1 n D: Σ(y₁ - a - Bx₂)² i=1
Transcribed Image Text:A6 Assume that the least squares regression model Y₁ = a + Bx; + &; has been fitted to paired data (x1, y₁),..., (Xn, Yn). Which quantity is minimised to obtain least squares estimators â and for the parameters a and 3? n 2 Α: Σ(yi - -α + Bx₂) ² i=1 n B: Σy; - a-βxi| i=1 n c: Σ\ui - a + βæi| i=1 n D: Σ(y₁ - a - Bx₂)² i=1
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