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Consider the random variables X, and Y₁ from question B1 again. (a) Show that the sample covariance is an unbiased estimator of Cov(X₁, Y₁). Hint: consider the equality X₁ X = (Xį − µ) — (X − µ). - - (b) Can you conclude from the statement in part (a) that the sample correlation is an unbiased estimator of Corr(X₁, Y₁)? Justify your answer.

Consider the random variables X, and Y₁ from question B1 again. (a) Show that the sample covariance is an unbiased estimator of Cov(X₁, Y₁). Hint: consider the equality X₁ X = (Xį − µ) — (X − µ). - - (b) Can you conclude from the statement in part (a) that the sample correlation is an unbiased estimator of Corr(X₁, Y₁)? Justify your answer.

MATLAB: An Introduction with Applications
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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B2. Consider the random variables X and Y from question B1 again. (a) Show that the sample covariance is an unbiased estimator of Cov(X₁, Y₁). Hint: consider the equality X₁ X = (Xį − µ) – (X – µ). - (b) Can you conclude from the statement in part (a) that the sample correlation is an unbiased estimator of Corr(X₁, Y₁)? Justify your answer.
Transcribed Image Text:B2. Consider the random variables X and Y from question B1 again. (a) Show that the sample covariance is an unbiased estimator of Cov(X₁, Y₁). Hint: consider the equality X₁ X = (Xį − µ) – (X – µ). - (b) Can you conclude from the statement in part (a) that the sample correlation is an unbiased estimator of Corr(X₁, Y₁)? Justify your answer.
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