The Homoskedasticity-Only Estimator of the Variance Of $\hat { \beta }$

question 41

Multiple Choice

The homoskedasticity-only estimator of the variance of $\hat { \beta }$ ₁ is

• A) \(\frac { s _ { u } ^ { \frac { 2 } { u } } } { \sum _ { i = 1 } ^ { n } \left( X _ { i } - \bar {X } \right) ^ { 2 } }\)
• B) \(\frac { S _ { \hat { u } } ^ { 2 } } { \sqrt { \sum _ { i = 1 } ^ { n } \left( X _ { i } - \bar { X } \right) ^ { 2 } } }\)
• C) \(\frac { S _ { \hat { u } } ^ { 2 } } { \sum _ { i = 1 } ^ { n } X _ { i } ^ { 2 } - \bar { X } } .\)
• D) \(\frac { 1 } { n } \times \frac { \frac { 1 } { n - 2 } \sum _ { i = 1 } ^ { n } \left( X _ { i } - \bar { X } \right) ^ { 2 } \hat { u } _ { i } ^ { 2 } } { \left[ \frac { 1 } { n } \sum _ { i = 1 } ^ { n } \left( X _ { i } - \bar { X } \right) ^ { 2 } \right] ^ { 2 } } { } _ { \times }\)

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Definitions:

Linear Perspective

A technique in art and photography that creates the illusion of depth and distance by converging parallel lines at a single point on the horizon.

Convey Distance

The process of communicating or expressing the physical space or separation between objects or locations.

Continuity

The psychological principle suggesting that development involves gradual and ongoing changes, without sudden shifts or stages.

Organize Stimuli

The process of perceiving and categorizing sensory input from the environment into meaningful patterns or categories.