Define the concept of Weighted Least Squares?

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Inner Product Spaces
Section5.CR: Review Exercises
Problem 62CR
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Define the concept of Weighted Least Squares?

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A special case of least square is called as weighted least square.

It is also known as weighted linear regression. It is a generalization of ordinary least squares and linear regression. It occurs when all the off-diagonal entries of the correlation matrix of the residuals are null and the variances of the observations are unequal. 

It could minimize the weighted sum of squares,WSSβ,w=wiinyi-xβ2

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