which table shows no correlation? x 3 5 6 8 10 14 15 y -1 -2 -3 -2 -5 -4 -8 x 3 5 6 8 10 14 15 y -6 -7 -4 -2…

Explanation:

Step1: Understand correlation concept

Correlation means a relationship between x - and y - values. In a positive correlation, as x increases, y increases. In a negative correlation, as x increases, y decreases. No - correlation means no clear pattern.

Step2: Analyze the first table

As x increases from 3 to 15, y values (-1, -2, -3, -2, -5, -4, -8) have no clear increasing or decreasing pattern.

Step3: Analyze the second table

As x increases from 3 to 15, y values (-6, -7, -4, -2, 0, -1, 3) generally show a slight increasing trend.

Step4: Analyze the third table

As x increases from 3 to 15, y values (-2, -4, 6, 8, 12, 10, -16) are very erratic but there are some increasing trends in parts.

Step5: Analyze the fourth table

As x increases from 3 to 15, y values (-3, -5, -9, -11, -13, -15, -17) show a clear negative - correlation (y decreases as x increases).

Answer:

The first table (with x - values 3, 5, 6, 8, 10, 14, 15 and y - values -1, -2, -3, -2, -5, -4, -8) shows no correlation.