Question

Consider the multiple regression models in its standard matrix form. Show that OLS estimators are Best Linear Unbiased Estimators (BLUE).

29 Aug 2022
Answer :
Word Count : 579

Multiple regression models are commonly used in statistical analysis to investigate the relationship between a response variable and one or more predictor variables. In its standard matrix form, a multiple regression model can be represented as follows:

y = Xβ + ε

where y is a n x 1 vector of response variables, X is a n x k matrix of predictor variables, β is a k x 1 vector of regression coefficients, and ε is a n x 1 vector of errors. The objective of multiple regression analysis is to find the best estimates of the regression coefficients β that describe the relationship between the predictor variables and the response variable.

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