A Regression Analysis (Involving 45 Observations) Relating a Dependent Variable $\widehat { y }$

question 16

Essay

A regression analysis (involving 45 observations) relating a dependent variable (y) and two independent variables resulted in the following information.
​ $\widehat { y }$ = 0.408 + 1.3387x₁ + 2x₂
​
The SSE for the above model is 49.
When two other independent variables were added to the model, the following information was provided.
​ $\widehat { y }$ = 1.2 + 3.0x₁ + 12x₂ + 4.0x₃ + 8x₄
​
This latter model's SSE is 40.
At a 5% significance level, test to determine if the two added independent variables contribute significantly to the model.

---

Definitions:

Respect

A feeling of deep admiration for someone or something elicited by their abilities, qualities, or achievements.

Power Distance

A cultural dimension that describes the extent to which individuals within a society accept and expect power to be distributed unequally.

GLOBE Model

A research framework that examines the impact of culture on leadership effectiveness and organizational practices across the world.

Delaying Gratification

The process of resisting an immediate reward in preference for a later, often greater, reward.