Thirty-Four Observations of a Dependent Variable and Two Independent Variables

question 4

Short Answer

Thirty-four observations of a dependent variable and two independent variables resulted in an SSE of 300. When a third independent variable was added to the model, the SSE was reduced to 250. Using α = .05, determine whether or not the third independent variable contributes significantly to the model.

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Definitions:

Second Grouping Factor

A secondary variable used in an analysis to categorize or group data, allowing for comparisons across different levels of this variable.

4 × 3 Factorial Design

A statistical test used in experiments involving two independent variables, one with four levels and the other with three levels, to determine their effect on a dependent variable.

Levels

The different values or categories that an experimental condition or variable can take on in a study.

Groups Examined

Refers to the specific collections of individuals, objects, or data points that are being studied or analyzed in research.