Maurice Tutor

(5)

$15/per page/Negotiable

About Maurice Tutor

Levels Tought:
Elementary,Middle School,High School,College,University,PHD

Expertise:
Algebra,Applied Sciences See all
Algebra,Applied Sciences,Biology,Calculus,Chemistry,Economics,English,Essay writing,Geography,Geology,Health & Medical,Physics,Science Hide all
Teaching Since: May 2017
Last Sign in: 398 Weeks Ago, 2 Days Ago
Questions Answered: 66690
Tutorials Posted: 66688

Education

  • MCS,PHD
    Argosy University/ Phoniex University/
    Nov-2005 - Oct-2011

Experience

  • Professor
    Phoniex University
    Oct-2001 - Nov-2016

Category > Economics Posted 13 May 2018 My Price 5.00

Nonsingular Transformations

1.    Invariance of the Fitted Values and Residuals to Nonsingular Transformations of the Independent Variables. Post-multiply the independent variables in (7.1) by a nonsingular transformation C, so that X ∗ = XC.

 

(a)     Show that PX∗ = PX and P¯X∗ = P¯X . Conclude that the regression of y on X has the same fitted values and the same residuals as the regression of y on X ∗.

(b)     As an application of these results, suppose that every X was multiplied by a constant, say, a change in the units of measurement. Would the fitted values or residuals change when we rerun this regression?

(c)     Suppose that X contains two regressors X1 and X2 each of dimension n × 1. If we run the regression of y on (X1 − X2) and (X1 + X2), will this yield the same fitted values and the same residuals as the original regression of y on X1 and X2?

Answers

Maurice Tutor
(5)
Status NEW Posted 13 May 2018 01:05 PM My Price 5.00

Hel-----------lo -----------Sir-----------/Ma-----------dam-----------Tha-----------nk -----------You----------- fo-----------r u-----------sin-----------g o-----------ur -----------web-----------sit-----------e a-----------nd -----------acq-----------uis-----------iti-----------on -----------of -----------my -----------pos-----------ted----------- so-----------lut-----------ion-----------.Pl-----------eas-----------e p-----------ing----------- me----------- on-----------cha-----------t I----------- am----------- on-----------lin-----------e o-----------r i-----------nbo-----------x m-----------e a----------- me-----------ssa-----------ge -----------I w-----------ill----------- be-----------

Not Rated(0)