For the Case of Two Independent Variables $x _ { 1 }$

question 9

Multiple Choice

For the case of two independent variables $x _ { 1 }$ and $x _ { 2 }$ , which of the following statements are not true?

• A) \(Y = \beta _ { 0 } + \beta _ { 1 } x _ { 1 } + \beta _ { 2 } x _ { 2 } + \varepsilon\)
• Is the first-order no-interaction model
• B) \(Y = \beta _ { 0 } + \beta _ { 1 } x _ { 1 } + \beta _ { 2 } x _ { 2 } + \beta _ { 3 } \left( x _ { 1 } + x \right) ^ { 2 } + \varepsilon\)
• Is the second-order no interaction model
• C) \(Y = \beta _ { 0 } + \beta _ { 1 } x _ { 1 } + \beta _ { 2 } x _ { 2 } + \beta _ { 3 } x _ { 1 } x _ { 2 } + \varepsilon\)
• Is the model with first-order predictors and interaction
• D) \(Y = \beta _ { 0 } + \beta _ { 1 } x _ { 1 } + \beta _ { 2 } x _ { 2 } + \beta _ { 3 } x _ { 1 } ^ { 2 } + \beta _ { 4 } x _ { 2 } ^ { 2 } + \beta _ { 3 } x _ { 1 } x _ { 2 } + \varepsilon\)
• Is the complete second-order or full quadratic model is
• E) All of the above statements are true.

---

Definitions:

Party Polarization

The divergence of political attitudes to ideological extremes, leading to a significant divide between political parties, often resulting in gridlock.

Government

An organization or system through which a community, state, or nation is governed, including the making and enforcement of laws, and the administration of public policy.

Politics

The activities, actions, and policies used to gain and hold power in government or to influence the government's decisions and actions.

Dealignment Theory

The theory that suggests a decline in the political influence of pre-existing social groups and the rise of individual voter choice.