Which Statement About Residuals Plot Is True

question 35

Multiple Choice

Which statement about residuals plot is true?

• A) A pattern of increasing spread indicates the predicted values become less reliable as the explanatory variable increases.
• B) If all of the residuals are very small, the model will not predict accurately.
• C) High-leverage points always have large residuals.
• D) The outliers always deserve special attention because they produce small residuals.
• E) Residuals reveal data that behave differently. The plot provides clues for fixing the regression model.

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Definitions:

Preoperational Stage

A stage in Jean Piaget's developmental theory of childhood, from about ages 2 to 7, where children begin to engage in symbolic play but lack the ability to perform operations or think logically.

Represent Another

A phrase that suggests acting on behalf of or symbolizing someone or something else.

Reversibility

The cognitive ability to recognize that numbers or objects can be changed and then returned back to their original condition.

Nonstage Theory

A theory suggesting that development or cognition does not progress through fixed stages, but rather continuously.