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

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

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

Answer

Answer:

The second table (where (x = 3,5,6,8,10,14,15) and (y=-6,-7,-4,-2,0,-1,3)) 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) has no clear - cut increasing or decreasing pattern, but it's not the best example of no - correlation.

Step3: Analyze second table

As (x) increases from (3) to (15), (y) values fluctuate randomly ((-6,-7,-4,-2,0,-1,3)) with no discernible linear or non - linear relationship.

Step4: Analyze third table

There seems to be a non - linear relationship as (y) values first decrease and then increase and then decrease again in a somewhat patterned way.

Step5: Analyze fourth table

As (x) increases, (y) decreases in a fairly linear fashion ((y=-3,-5,-9,-11,-13,-15,-17)), showing a negative linear correlation.