The Scatterplot Shown Below Represents a Typical Shape of a Cubic

question 30

Multiple Choice

The scatterplot shown below represents a typical shape of a cubic regression model y = β₀ + β₁x + β₂x² + β₃x³ + ε. Which of the following is true about values of the regression coefficients?

• A) β₁ > 0; β₂ > 0; β₃ > 0
• B) β₁ < 0; β₂ > 0; β₃ > 0
• C) β₁ < 0; β₂ < 0; β₃ > 0
• D) β₁ > 0; β₂ < 0; β₃ > 0

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Definitions:

Hierarchy

An ordered system or body in which members or divisions are classified above or below others based on their authority or standing.

Modulation Corollary

The understanding that individuals modify their personal constructs (perceived interpretations of the world) over time based on new experiences.

Range Corollary

A principle in George Kelly's personal construct theory which states that each construct applies to a finite range of events and is limited in its applicability.

Sociality Corollary

A principle suggesting that an individual's understanding of reality is influenced by the perspective and interactions within a social context.