Example 17-8. X1, X2, and X3 is a random sample of size 3 from a population with meanvalue u and variance ơ². T,, T2, T3 are the estimators used to estimate mean value µ, where11T1= X1 + X2 – X3, T2= 2X1+3X3– 4X2 ,T3 =} (^X,+ X2 + X3)/3.and|(i) Are T1 and T2 unbiased estimators ?(ii) Find the value of A such that T3 is unbiased estimator for u.(iii) With this value of A is T3 a consistent estimator ?(iv) Which is the best estimator ?

Answered: Image /qna-images/answer/51156d30-8a91-4a53-be99-f7ffe27e515e.jpg

Answered: Example 17-8. X1, X2, and X3 is a…

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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Answer last 3 parts. t hank y o u.
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Consider a regression analysis with n= 51 and four potential independent variables. Suppose that one of the independent variables has a correlation of 0.49 with the dependent variable. Does this imply that this independent variable will have a very small Student's t statistic in the regression analysis with all four predictor variables? Choose all that apply. A. The correlation between the independent variable and the dependent variable could result in a very small Student's t statistic as the correlation creates a high variance. B. Correlation between the independent variable and the dependent variable is not necessarily evidence of a small Student's t statistic. C. A high correlation among the independent variables could result in a very small Student's t statistic as the correlation increases the coefficient standard errors. D. Correlation between the independent variable and the dependent variable is evidence of a small Student's t statistic.
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