Question

Which of the following data sets indicates a strong negative correlation? {(-3, 8), (-2, -6), (-1, 4), (0, -2)} {(-2, -4), (0, -2), (2, 0), (4, 2)} {(-2, 4), (-1, 2), (0, 0), (1, -2)

Answer 1

The correct answer choice is
{(-2, 4), (-1, 2), (0, 0), (1, -2)}

Correlation = -1.0

Answer 2

Answer:

{ (-2,4) , (-1,2) , (0,0) , (1,-2) } data set indicates a strong negative correlation.

Step-by-step explanation:

Given Set of points are the following;

Set 1 - { (-3,8) , (-2,-6) , (-1,4) , (0,-2) }   , Set 2 - { (-2,-4) , (0,-2) , (2,0) , (4,2) }  and Set 3 - { (-2,4) , (-1,2) , (0,0) , (1,-2) }

Strong Negative Correlation occurs when value of one variable increase then value of second variable decreases.

Strong Positive Correlation occurs when value of one variable increase then value of second variable Also increases.

This can be check by marking them on graph paper.

Graph paper is attached.

From graph paper and definition Data Set 3  indicates a strong negative correlation.

Therefore,  { (-2,4) , (-1,2) , (0,0) , (1,-2) } data set indicates a strong negative correlation.