Final answer:
Option c) [(-2, 4), (-1, 2), (0, 0), (1,-2)] indicates a strong negative correlation, where for every increase in the first variable, there is a consistent decrease in the second variable. The correct answer is option c), which clearly indicates a strong negative correlation.
Step-by-step explanation:
To determine which data set indicates a strong negative correlation, we need to look for the set where, as one variable increases, the other decreases consistently. A negative correlation means that there is an inverse relationship between two variables; that is, as one variable increases, the other decreases.
Reviewing the given options:
- a) [(-2,-4), (0, -2), (2,0), (4,2)] does not represent a strong negative correlation since the values do not consistently decrease as the other increases.
- b) {(-3, 8), (-2,-6), (-1, 4), (0, -2)] also does not show a strong negative correlation because the values do not systematically decrease with an increase in the other.
- c) [(-2, 4), (-1, 2), (0, 0), (1,-2)] shows a strong negative correlation because for each increment in the first value, the corresponding second value decreases, exhibiting a consistent negative relationship.
Therefore, the correct answer is option c), which clearly indicates a strong negative correlation.