A Regression Model Relating a Dependent Variable, Y, with One $\alpha$

question 42

Essay

A regression model relating a dependent variable, Y, with one independent variable, X₁, resulted in an SSE of 400. Another regression model with the same dependent variable, Y, and two independent variables, X₁ and X₂, resulted in an SSE of 320. At $\alpha$ = .05, determine if X₂ contributed significantly to the model. The sample size for both models was 20.

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Definitions:

Behavior

The actions or reactions of a person or animal in response to external or internal stimuli.

Ergonomics

The scientific discipline concerned with understanding human interactions and designing systems, products, and environments that enhance safety, comfort, and performance.

Psychology Department

An academic department in universities focused on the study of human behavior, thoughts, and emotions.

Cultural Influences

The impact of the beliefs, norms, and values of a society or group on the behavior, attitudes, and practices of its members.