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

Explanation:

Step1: Understand correlation concept

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

Step2: Analyze the second table

As (x) increases, (y) generally increases (weak positive - correlation).

Step3: Analyze the third table

There seems to be no clear linear pattern, but values are scattered without a consistent trend.

Step4: Analyze the fourth table

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

Step5: Analyze the first table

The (y) - values do not show any increasing or decreasing trend with respect to (x) - values, indicating no correlation.