Which of the following data sets indicates a strong negative correlation?

Response:

The correct option is: C.

C. {(-2, 4), (-1, 2), (0, 0), (1, -2)}

Detailed explanation:

A strong negative correlation is present--

In this context, a negative correlation signifies that as one variable increases, the other decreases, and vice versa.

This indicates an inverse relationship between the two variables.

Furthermore, this relationship is considered strong if the data points cluster above the line of best fit.

Thus, the data set illustrating a robust negative correlation is:

C. {(-2, 4), (-1, 2), (0, 0), (1, -2)}

In this scenario, the x-values increase consistently by 1 (i.e., -2, -1, 0, 1), while the corresponding values decrease steadily by 2 (i.e., 4, 2, 0, -2).

As a result, a linear correlation emerges with all points positioned above the line, and the line of best fit exhibits a negative slope.

Thus, the data shows a strong negative correlation.

Response:

The correct choice is C.

Detailed explanation:

The provided data sets include {(-3, 8), (-2, -6), (-1, 4), (0, -2)}, {(-2, -4), (0, -2), (2, 0), (4, 2)}, and {(-2, 4), (-1, 2), (0, 0), (1, -2)}

A strong negative correlation--

This describes a scenario where an increase in one variable corresponds to a decrease in another, which indicates an inverse relationship.

To determine which data set exhibits a strong negative correlation, we plot all points on a graph.

Clearly, Set C demonstrates a strong negative correlation, as indicated by the negative slope of the line in the graph, showing that as x increases, y decreases.

Therefore, the correct choice is C.