Question

Use the tables to create scatterplots and determine which scatterplot shows a linear association.
A. (5, 550), (8, 800), (2, 250), (4, 500), (6, 500), (12, 400), (10, 650), (1, 150), (3, 400), (7, 750)
B. (5, 550), (8, 800), (2, 250), (4, 300), (6, 700), (12, 1,000), (10, 650), (1, 300), (3, 100), (7, 700)
C. (5, 550), (8, 800), (2, 350), (4, 450), (6, 700), (12, 1,000), (10, 900), (1, 250), (3, 400), (7, 750)
D. (5, 800), (8, 700), (2, 350), (4, 450), (6, 500), (12, 1,000), (10, 900), (1, 250), (3, 400), (7, 750)

Answer 1

I computed the scatter associations (Pearson r) for each table to see which is most linear. Results:

- A: r ≈ 0.59 (moderate positive)
- B: r ≈ 0.89 (strong positive)
- C: r ≈ 0.99 (very strong/near-perfect positive)
- D: r ≈ 0.92 (very strong positive)

Conclusion: Dataset C shows the clearest linear association (r ≈ 0.99). D and B are also strongly positive but not as nearly perfect as C; A is only moderately linear.