Question

A statistics student is asked to estimate y» βο • βικ εShe calculates the following values. Σαί = 220, Σ(α, - α)' - 400, Σ(α, - 2) (οι - ) = - 568, Σγά = 385, Σ(ν. - ) - 1120, η = 11. Which of the following is the sample regression equation? του αυτοκινητο υ και να τους δικα που θα τη - Multiple Choice Ο Ο 5 - 9.2 - 1.29α () και 9.2 + 1.29 Ο () 5 - 60 80 - 1.292 Ο Ο 5 - 60.80 + 1.29α

Answer 1

From Normal equations coe have cohere 2 (41-8 - Baxi) - > Q - EC42-Bax:) = 7 - BX Again, from some Normal equations, E (y; -2 – Bxi) xi = 0 => ZXy; - axi – PEx = 0 Z Yix? – (7-ß X)x; _ ß Exi? 20 => 2 {y; - 7 + ß (5-x;)} = 0. B. {CYi-Y) F(xi-x) IC43-7)(x-3) F (x - 7² ) Given, IX: = 220, 2CX-) = 440, 204-9)-1120, Zy-335 2(xi-x) (Yi-Y = -568, n. 11.

1 - 2 = 7 -ßx I Å= ß. - 568 440 Putting value ina] -1.29 Bo= â = I Yi + 1.29x/2x) 385 -395 +1.29 x 220) 220 = 35+25.8 = 60.8 y = 60-8-1-29x, is correct i.e 3rd opth. Normal equsare & Yo = na + BEN Ixyo 2056 + Bari, take Exia o