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
800 700 350 450 500 1000 900 250 400 750

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

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
550 800 250 300 700 1000 650 300 100 700
Skip to navigation

Answer 1

All four sets have positive trends, but the second set is the most nearly linear.

Correlation (Pearson r) for each set (x = 5,8,2,4,6,12,10,1,3,7):
- Set 1 (y = 800,700,350,450,500,1000,900,250,400,750): r ≈ 0.92
- Set 2 (y = 550,800,350,450,700,1000,900,250,400,750): r ≈ 0.99 ← strongest linear association
- Set 3 (y = 550,800,250,500,500,400,650,150,400,750): r ≈ 0.59
- Set 4 (y = 550,800,250,300,700,1000,650,300,100,700): r ≈ 0.89

Conclusion: the second scatterplot shows the clearest linear association (strong positive linear relationship).