Questions: Identity the scatter diagram corresponding to r=-1. Choose the correct answer. A B. c. D.

Identity the scatter diagram corresponding to r=-1. Choose the correct answer. A B. c. D.
Transcript text: Identity the scatter diagram corresponding to $\mathrm{r}=-1$. Choose the correct answer. A B. c. D.
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Solution

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Solution Steps

Step 1: Understand the Problem

The problem asks to identify the scatter diagram that corresponds to a correlation coefficient \( r = -1 \). A correlation coefficient of \( r = -1 \) indicates a perfect negative linear relationship between the two variables.

Step 2: Analyze the Options

Examine each scatter diagram to determine which one shows a perfect negative linear relationship:

  • Option A: The points do not form a perfect line.
  • Option B: The points do not form a perfect line.
  • Option C: The points form a perfect negative linear line.
  • Option D: The points do not form a perfect line.
Step 3: Select the Correct Answer

Based on the analysis, Option C shows a perfect negative linear relationship, which corresponds to \( r = -1 \).

Final Answer

The correct scatter diagram corresponding to \( r = -1 \) is Option C.

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