The Regression Equation for a Categorical Variable with Four Categories

question 17

Multiple Choice

The regression equation for a categorical variable with four categories would be modeled as ________.

• A)Ŷ _i = a + b₁ D_{1 +} b₂ D_{2 +} b₃D₃
• B)Ŷ _i = a + b₁ D_{1 +} b₂ D_{2 +} b₃D_{3 +} b₄D₄
• C)Ŷ = b₁ D_{1 +} b₂ D_{2 +} b₃D₃
• D)Ŷ = b₁ D_{1 +} b₂ D_{2 +} b₃D_{3 +} b₄D₄

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Definitions:

One-Tailed Test

A statistical test where the region of rejection is on only one side of the sampling distribution, used when testing for a direction in the relationship between variables.

Critical Value

A threshold value that defines the boundary or cut-off point beyond which an observed test statistic is considered statistically significant.

Type I Error

The error made when a true null hypothesis is incorrectly rejected.

Type II Error

The error that occurs when a false null hypothesis is not rejected, also known as a "false negative."