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An Example of the Interaction Term Between Two Independent, Continuous

question 51

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An example of the interaction term between two independent, continuous variables is a. Yi=β0+β1Xi+β2Di+β3(Xi×Di)+ui\quad Y _ { i } = \beta _ { 0 } + \beta _ { 1 } X _ { i } + \beta _ { 2 } D _ { i } + \beta _ { 3 } \left( X _ { i } \times D _ { i } \right) + u _ { i } .
b. Yi=β0+β1X1i+β2X2i+uiY _ { i } = \beta _ { 0 } + \beta _ { 1 } X _ { 1 i } + \beta _ { 2 } X _ { 2 i } + u _ { i } .
c. Yi=β0+β1D1i+β2D2i+β3(D1i×D2i)+uiY _ { i } = \beta _ { 0 } + \beta _ { 1 } D _ { 1 i } + \beta _ { 2 } D _ { 2 i } + \beta _ { 3 } \left( D _ { 1 i } \times D _ { 2 i } \right) + u _ { i } .
d. Yi=β0+β1X1i+β2X2i+β3(X1i×X2i)+uiY _ { i } = \beta _ { 0 } + \beta _ { 1 } X _ { 1 i } + \beta _ { 2 } X _ { 2 i } + \beta _ { 3 } \left( X _ { 1 i } \times X _ { 2 i } \right) + u _ { i } .


Definitions:

Response-Based Definition

A method of defining concepts by specifying the response or outcome they produce, rather than the characteristics they possess.

Stress

A feeling of emotional or physical tension resulting from any event or thought that makes you feel frustrated, angry, or nervous.

Physiological Reaction

Bodily responses to stimuli, including changes in heart rate, hormone levels, and muscle tension.

Fight-Or-Flight

A physiological response to perceived harmful events, attacks, or threats to survival, priming the body to either confront or flee.

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