Question

Which table shows no correlation?

A 2-row table with 7 columns. The first row is labeled x with entries 3, 5, 6, 8, 10, 14, 15. The second row is labeled y with entries negative 1, negative 2, negative 3, negative 2, negative 5, negative 4, negative 8.
A 2-row table with 7 columns. The first row is labeled x with entries 3, 5, 6, 8, 10, 14, 15. The second row is labeled y with entries negative 6, negative 7, negative 4, negative 2, 0, negative 1, positive 3.
A 2-row table with 7 columns. The first row is labeled x with entries 3, 5, 6, 8, 10, 14, 15. The second row is labeled y with entries negative 2, negative 4, positive 6, positive 8, positive 12, positive 10, negative 16.
A 2-row table with 7 columns. The first row is labeled x with entries 3, 5, 6, 8, 10, 14, 15. The second row is labeled y with entries negative 3, negative 5, negative 9, negative 11, negative 13, negative 15, negative 17.

Answer 1

The third table (x = 3,5,6,8,10,14,15 with y = -2, -4, 6, 8, 12, 10, -16). Its Pearson r ≈ -0.10, i.e. essentially no linear correlation.