Question

Use the tables to create scatterplots and determine which scatterplot shows a linear association.(1 point)

x
5 8 2 4 6 12 10 1 3 7
y
550 800 250 500 500 400 650 150 400 750

x
5 8 2 4 6 12 10 1 3 7
y
800 700 350 450 500 1000 900 250 400 750

x
5 8 2 4 6 12 10 1 3 7
y
550 800 250 300 700 1000 650 300 100 700

x
5 8 2 4 6 12 10 1 3 7
y
550 800 350 450 700 1000 900 250 400 750

Answer 1

The fourth table (x with y = 550, 800, 350, 450, 700, 1000, 900, 250, 400, 750) shows the strongest linear association.

Pearson r (approx.) for each table:
- 1st: r ≈ 0.59 (moderate positive)
- 2nd: r ≈ 0.92 (strong positive)
- 3rd: r ≈ 0.89 (strong positive)
- 4th: r ≈ 0.99 (very strong positive, nearly perfect linear)

So the 4th scatterplot is the most clearly linear.