Using a Sample of 63 Observations, a Dependent Variable Y

question 76

Multiple Choice

Using a sample of 63 observations, a dependent variable Y is regressed against two variables X₁ and X₂ to obtain the fitted regression equation Y = 76.40 - 6.388X₁ + 0.870X₂. The standard error of b₁ is 3.453 and the standard error of b₂ is 0.611. At α = .05, we could:

• A)conclude that both coefficients differ significantly from zero.
• B)reject H₀: β₁ ≥ 0 and conclude H₀: β₁ < 0.
• C)reject H₀: β₂ ≤ 0 and conclude H₀: β₁ > 0.
• D)conclude that Evans' Rule has been violated.

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Definitions:

Significance

The importance or meaning of something, often used in statistics to denote the likelihood that a result is not due to chance.

Random Events

Unpredictable occurrences or happenings that cannot be anticipated with certainty due to their nature.

Self-concept

The collection of beliefs about oneself, including attributes, roles, goals, and competencies.

Personality Disorder

A type of mental disorder characterized by a rigid and unhealthy pattern of thinking, functioning, and behaving.