Under the Least Squares Assumptions for the Multiple Regression Problem

question 41

Multiple Choice

Under the least squares assumptions for the multiple regression problem (zero conditional mean for the error term,all Xi and Yi being i.i.d. ,all Xi and ui having finite fourth moments,no perfect multicollinearity) ,the OLS estimators for the slopes and intercept

• A)have an exact normal distribution for n > 25.
• B)are BLUE.
• C)have a normal distribution in small samples as long as the errors are homoskedastic.
• D)are unbiased and consistent.

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Definitions:

HMIs

Human Machine Interfaces, devices or software allowing interaction between humans and machines, typically used in industrial environments.

Diagnose

The process of identifying, deducing, and addressing issues within a system, machine, or piece of equipment.

Monitor

To observe or track the operation or performance of a system or device, often for the purpose of troubleshooting or optimization.

Error Signal

A signal generated to indicate a discrepancy between a desired outcome and an actual outcome, used for correction in control systems.