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Data Visualizationmedium
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A scatter plot shows study hours (x-axis) versus final exam scores (y-axis) for 30 students, color-coded by major. Biology students (12 points) show correlation r≈0.85r ≈ 0.85r≈0.85, and Chemistry students (18 points) show r≈0.88r ≈ 0.88r≈0.88. However, when a single regression line is fit to all 30 points, the overall correlation is only r≈0.40r ≈ 0.40r≈0.40 (weak). Which best explains this paradox?