which table shows no correlation?\no\n| x | 3 | 5 | 6 | 8 | 10 | 14 | 15 |\n| y | -1 | -2 | -3 | -2 | -5 |…

which table shows no correlation?\no\n| x | 3 | 5 | 6 | 8 | 10 | 14 | 15 |\n| y | -1 | -2 | -3 | -2 | -5 | -4 | -8 |\no\n| x | 3 | 5 | 6 | 8 | 10 | 14 | 15 |\n| y | -6 | -7 | -4 | -2 | 0 | -1 | 3 |\no\n| x | 3 | 5 | 6 | 8 | 10 | 14 | 15 |\n| y | -2 | -4 | 6 | 8 | 12 | 10 | -16 |\no\n| x | 3 | 5 | 6 | 8 | 10 | 14 | 15 |\n| y | -3 | -5 | -9 | -11 | -13 | -15 | -17 |

which table shows no correlation?\no\n| x | 3 | 5 | 6 | 8 | 10 | 14 | 15 |\n| y | -1 | -2 | -3 | -2 | -5 | -4 | -8 |\no\n| x | 3 | 5 | 6 | 8 | 10 | 14 | 15 |\n| y | -6 | -7 | -4 | -2 | 0 | -1 | 3 |\no\n| x | 3 | 5 | 6 | 8 | 10 | 14 | 15 |\n| y | -2 | -4 | 6 | 8 | 12 | 10 | -16 |\no\n| x | 3 | 5 | 6 | 8 | 10 | 14 | 15 |\n| y | -3 | -5 | -9 | -11 | -13 | -15 | -17 |

Answer

Answer:

The third table (where (x = 3,5,6,8,10,14,15) and (y=-2,-4,6,8,12,10,-16)) shows no correlation.

Explanation:

Step1: Understand correlation concept

Correlation implies a relationship between (x) and (y) values.

Step2: Analyze first table

As (x) increases, (y) generally decreases, showing some negative - trend correlation.

Step3: Analyze second table

As (x) increases, (y) generally increases in a somewhat linear - like fashion, showing positive correlation tendency.

Step4: Analyze third table

There is no clear increasing or decreasing pattern between (x) and (y) values. For example, when (x) increases from (5) to (6), (y) changes from (-4) to (6) in an erratic way.

Step5: Analyze fourth table

As (x) increases, (y) decreases in a fairly consistent linear - like manner, showing negative correlation.