The Following Interactions Between Binary and Continuous Variables Are Possible $Y _ { i } = \beta _ { 0 } + \beta _ { 1 } X _ { i } + \beta _ { 2 } D _ { i } + \beta _ { 3 } \left( X _ { i } \times D _ { i } \right) + u _ { i }$

question 52

Short Answer

The following interactions between binary and continuous variables are possible, with the exception of a. $Y _ { i } = \beta _ { 0 } + \beta _ { 1 } X _ { i } + \beta _ { 2 } D _ { i } + \beta _ { 3 } \left( X _ { i } \times D _ { i } \right) + u _ { i }$ .
b. $Y _ { i } = \beta _ { 0 } + \beta _ { 1 } X _ { i } + \beta _ { 2 } \left( X _ { i } \times D _ { i } \right) + u _ { i }$ .
c. $Y _ { i } = \left( \beta _ { 0 } + D _ { i } \right) + \beta _ { 1 } X _ { i } + u _ { i }$ .
d. $Y _ { i } = \beta _ { 0 } + \beta _ { 1 } X _ { i } + \beta _ { 2 } D _ { i } + u _ { i }$ .

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Definitions:

Dominant Group

A social or hierarchical group holding predominant power, influence, or numbers within a society.

Cultural Genocide

Cultural genocide is the deliberate destruction of the cultural heritage of a people or nation for the purpose of eliminating their way of life, beliefs, and identity.

Expulsion

The act of being forced out or removed from a place or situation, often as a form of punishment or as a consequence of policy or law.

Nonconformity

A term used to describe a situation where goods delivered under a contract do not meet the specifications or expectations outlined in the agreement.