Problem 129 of 7
Explain why r near zero for pattern points are grouped into three distinct horizontal lines does not always mean no relationship.
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distinguish linear association from nonlinear association.
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Pattern must be nonlinear or clustered despite low linear correlation.
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Your answer is equivalent to the expected form.
Walkthrough
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1. Identify the visible non-linear or clustered pattern.
2. State that correlation measures linear association only.
3. Explain why the linear summary can be near zero despite a relationship.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Saying r near zero always means variables are unrelated.