3. Below is a scatterplot of two variables Y and X. Which of the following is most likely the value of the correlation coefficient rxy? .02 .04 06 .08 A. 0.99 B. -0.50 С. 0 D. 0.99 86 96

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**Question 3:**

Below is a scatterplot of two variables, Y and X. Which of the following is most likely the value of the correlation coefficient \( r_{xy} \)?

**Scatterplot Explanation:**

The scatterplot presents data points for two variables, Y and X. The X-axis ranges from 0 to approximately 0.08, and the Y-axis ranges from 0.92 to 1. The data points form a downward trend, indicating a negative linear relationship between the variables. As X increases, Y decreases consistently.

**Answer Options:**

A. 0.99  
B. \(-0.50\)  
C. 0  
D. \(-0.99\)  

The correct answer is option D (\(-0.99\)), as the scatterplot shows a strong negative correlation between X and Y, with data points closely clustered along a downward-sloping line.
Transcribed Image Text:**Question 3:** Below is a scatterplot of two variables, Y and X. Which of the following is most likely the value of the correlation coefficient \( r_{xy} \)? **Scatterplot Explanation:** The scatterplot presents data points for two variables, Y and X. The X-axis ranges from 0 to approximately 0.08, and the Y-axis ranges from 0.92 to 1. The data points form a downward trend, indicating a negative linear relationship between the variables. As X increases, Y decreases consistently. **Answer Options:** A. 0.99 B. \(-0.50\) C. 0 D. \(-0.99\) The correct answer is option D (\(-0.99\)), as the scatterplot shows a strong negative correlation between X and Y, with data points closely clustered along a downward-sloping line.
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