An Example of the Interaction Term Between Two Independent, Continuous

question 51

Short Answer

An example of the interaction term between two independent, continuous variables is a. $\quad Y _ { i } = \beta _ { 0 } + \beta _ { 1 } X _ { i } + \beta _ { 2 } D _ { i } + \beta _ { 3 } \left( X _ { i } \times D _ { i } \right) + u _ { i }$ .
b. $Y _ { i } = \beta _ { 0 } + \beta _ { 1 } X _ { 1 i } + \beta _ { 2 } X _ { 2 i } + u _ { i }$ .
c. $Y _ { i } = \beta _ { 0 } + \beta _ { 1 } D _ { 1 i } + \beta _ { 2 } D _ { 2 i } + \beta _ { 3 } \left( D _ { 1 i } \times D _ { 2 i } \right) + u _ { i }$ .
d. $Y _ { i } = \beta _ { 0 } + \beta _ { 1 } X _ { 1 i } + \beta _ { 2 } X _ { 2 i } + \beta _ { 3 } \left( X _ { 1 i } \times X _ { 2 i } \right) + u _ { i }$ .

---

Definitions:

Schacter & Singer Theory

The Schacter & Singer Theory, also known as the two-factor theory of emotion, posits that emotion is based on physiological arousal and cognitive labeling of that arousal.

Emotion

A complex psychological state involving thoughts, feelings, and physiological changes, often in response to a stimulus.

Celebrate

To acknowledge a significant or happy day, event, or milestone with festivities or other special observances.

Depression

A mental health disorder characterized by persistently depressed mood or loss of interest in activities, causing significant impairment in daily life.