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Question 22 • Algebra I

Which table shows no correlation?

Answer

Table with 2 columns and 8 rows.Row 1: Column 1, 'x'; Column 2, 'y' Row 2: Column 1, '3'; Column 2, 'negative 3' Row 3: Column 1, '5'; Column 2, 'negative 5' Row 4: Column 1, '6'; Column 2, 'negative 9' Row 5: Column 1, '8'; Column 2, 'negative 11' Row 6: Column 1, '10'; Column 2, 'negative 13' Row 7: Column 1, '14'; Column 2, 'negative 15' Row 8: Column 1, '15'; Column 2, 'negative 17'

Table with 2 columns and 8 rows.Row 1: Column 1, 'x'; Column 2, 'y' Row 2: Column 1, '3'; Column 2, 'negative 2' Row 3: Column 1, '5'; Column 2, 'negative 4' Row 4: Column 1, '6'; Column 2, '6' Row 5: Column 1, '8'; Column 2, '8' Row 6: Column 1, '10'; Column 2, '12' Row 7: Column 1, '14'; Column 2, '10' Row 8: Column 1, '15'; Column 2, 'negative 16'

Table with 2 columns and 8 rows.Row 1: Column 1, 'x'; Column 2, 'y' Row 2: Column 1, '3'; Column 2, 'negative 1' Row 3: Column 1, '5'; Column 2, 'negative 2' Row 4: Column 1, '6'; Column 2, 'negative 3' Row 5: Column 1, '8'; Column 2, 'negative 2' Row 6: Column 1, '10'; Column 2, 'negative 5' Row 7: Column 1, '14'; Column 2, 'negative 4' Row 8: Column 1, '15'; Column 2, 'negative 8'

Table with 2 columns and 8 rows.Row 1: Column 1, 'x'; Column 2, 'y' Row 2: Column 1, '3'; Column 2, 'negative 6' Row 3: Column 1, '5'; Column 2, 'negative 7' Row 4: Column 1, '6'; Column 2, 'negative 4' Row 5: Column 1, '8'; Column 2, 'negative 2' Row 6: Column 1, '10'; Column 2, '0' Row 7: Column 1, '14'; Column 2, 'negative 1' Row 8: Column 1, '15'; Column 2, '3'

Explanation

A table shows no correlation when the y-values do not follow a clear upward or downward trend as x increases. In B, y-values rise from −2 to 12 for much of the table, but then fall to −16 at x = 15, so the points do not form a consistent trend. The other tables show clearer negative or positive trends.

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