7.If x1, X2 and x3three variates measured from theirarerespective means as origin and if e¡ is the expected value of x1 for givenvalues of x2 and x3 from the linear regression of x, on x2 and x3, prove thatcov (x1, e¡) = var (e¡) = var (x1) – var (x; - ei).||

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Answered: 7. If x1, x2 and x3 are three variates…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Find the least square regression line.
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A statistics student is asked to estimate Y = Bo + B1X + E. She calculates the following values: Ex = 280, Σ(x₁ - x)² = 350, Σy, = 600, Σ(y, − y) = 1000 Σ(x,x)(y₁ - y) = -630, n = 20 Which of the following is the sample regression equation? OY--55.2-1.8X + e OY 55.2 +1.8X + e OY-55.2+1.8X + e OY 55.2 1.8X + e
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7. If x1, x2 and x3 are three variates measured from their respective means as origin and if e, is the expected value of x1 for given values of x2 and x3 from the linear regression of x, on x2 and x3, prove that cov (x1, e1) = var (ej) = var (x1) – var (x¡ - ei).