Question Refers to the Following Regression Estimated on 64 $\beta$

question 11

Multiple Choice

Question refers to the following regression estimated on 64 observations:
Y_t = $\beta$ ₁ + $\beta$ ₂X_2t + $\beta$ ₃X_3t + $\beta$ ₄X_4t + u_t
-Which of the following null hypotheses could we test using an F-test?
(I) $\beta$ ₂ = 0
(ii) $\beta$ ₂ = 1 and $\beta$ _{3 +} $\beta$ ₄ = 1
(iii) $\beta$ ₃ $\beta$ ₄ = 1
(iv) $\beta$ ₂ - $\beta$ ₃ - $\beta$ ₄ = 1

• A) (i) and (ii) only
• B) (ii) and (iv) only
• C) (i), (ii), (iii) and (iv)
• D) (i), (ii), and (iv) only

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Definitions:

Lecompton Constitution

A proposed Kansas State Constitution, drafted in 1857, which would have allowed slavery in the state. It was contested and eventually rejected due to widespread opposition to its pro-slavery stance.

Republican Party

One of the two major contemporary political parties in the United States, commonly associated with conservative ideologies, favoring smaller government, lower taxes, and a strong national defense.

Economic Development

The process of improving economic well-being and quality of life through growth and advancement, often measured by GDP growth, employment rates, and infrastructure improvements.

Slavery

A system in which individuals are owned by others as property, deprived of personal freedom, and compelled to perform labor or services.