Answered step by step
Verified Expert Solution
Link Copied!

Question

1 Approved Answer

After trying many multiple linear regression analyses based on the model M1 in Problem 1 above, a data analyst obtained the following statistics. The regression

image text in transcribed

image text in transcribedimage text in transcribed
After trying many multiple linear regression analyses based on the model M1 in Problem 1 above, a data analyst obtained the following statistics. The regression sum of squares 55030) by excluding the two regressors x1, x2 . The regression sums of squares 55(30),SS(30, 31), by excluding the regressor x2 . The regression sums of squares 55(30),SS(130, 32), by excluding the regressor x1 . The regression sums of squares 55(30),SS(30, 61, 62); that is, include all the regressors. The data analyst used statistical tests derived from sums of squares to determine whether x1 or x2 should be excluded to come up with the final regression model. That is, the final model may be a subset model of M1. 1) Discuss with mathematical proof whether the ordinary leastsquares estimator(s) for the remaining regressor(s) in the final model is biased. [10 points] 2) Discuss with mathematical proof whether the ordinary least-squares estimator(s) for the remaining regressor(s) in the final model has a smaller variance than the respective ordinary leastsquares estimator(s) in fitting the model M1. [10 points] 3) The analyst also explored addition of another regressor 3113; that is, Model M1 could be extended to include 9433. Discuss with mathematical proof whether the ordinary least- squares estimator for 51, say, based on the extended model is biased for 1 if the true model is M1. [10 points]

Step by Step Solution

There are 3 Steps involved in it

Step: 1

blur-text-image

Get Instant Access to Expert-Tailored Solutions

See step-by-step solutions with expert insights and AI powered tools for academic success

Step: 2

blur-text-image_2

Step: 3

blur-text-image_3

Ace Your Homework with AI

Get the answers you need in no time with our AI-driven, step-by-step assistance

Get Started

Recommended Textbook for

Functional Analysis And The Feynman Operator Calculus

Authors: Tepper L Gill, Woodford W Zachary, Zachary Woodford

1st Edition

331927595X, 9783319275956

More Books

Students also viewed these Mathematics questions

Question

A greater tendency to create winwin situations.

Answered: 1 week ago