A Three-Variable Multiple Regression Establishes an Estimated Multiple Regression Equation

question 19

Multiple Choice

A three-variable multiple regression establishes an estimated multiple regression equation. Which of the following is a property of that equation?

• A) All the estimates derived from it fall on a surface that is called the regression plane.
• B) All the estimates derived from it fall on a surface that is called the regression plane, which is positioned among the sample points in such a way as to minimize the sum of the square horizontal deviations between these sample points and their associated estimates.
• C) All the estimates derived from it fall on a surface that is called the regression plane, which is positioned among the sample points in such a way as to minimize the sum of the squared horizontal deviations between these sample points and their associated estimates, all of which lie on this plane.

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Definitions:

Concrete Operational

A stage in Piaget's theory of cognitive development where children gain the ability to think logically about concrete events.

Preoperational

A stage in Piaget's theory of cognitive development, occurring from approximately ages 2 to 7, characterized by symbolic thought and egocentrism but a lack of operational logic.

Sensorimotor

Referring to the developmental stage in infants where they explore the world and learn through physical interactions, involving both sensory experiences and motor activities.

Personality Stability

The consistency of an individual's personality traits and behaviors over time and across situations.