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Question

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Explanation:

Analyze the target correlation coefficient

$$ r \approx -1 $$

Evaluate the visible scatterplots

  • First plot: Points show a moderate positive linear trend, meaning \(r > 0\).
  • Second plot: Points are highly scattered with no clear linear pattern, meaning \(r \approx 0\).
  • Missing options: A scatterplot with a correlation coefficient closest to \(-1\) must show a strong, negative linear association (points tightly clustered around a line sloping downwards from left to right).

Answer:

  • (A) A scatterplot showing points tightly clustered along a line sloping downwards from left to right (strong negative correlation)
  • (B) The first visible scatterplot (moderate positive correlation)
  • (C) The second visible scatterplot (weak or no correlation)