Question

a graph is shown below. what type of relation exists between the two variables? answer attempt 1 out of 2 weak positive weak negative strong positive strong negative

Explanation:

Step1: Analyze the trend of the scatter - plot

In a scatter - plot, if as \(x\) increases, \(y\) generally decreases, it is a negative relationship. If as \(x\) increases, \(y\) generally increases, it is a positive relationship. Here, as \(x\) increases, \(y\) shows a decreasing trend, so it is a negative relationship.

Step2: Analyze the strength of the relationship

The strength of a relationship in a scatter - plot is determined by how closely the points follow a pattern. If the points are widely spread out, the relationship is weak. If the points are closely clustered around a line (either straight or curved), the relationship is strong. In this scatter - plot, the points are not closely clustered around an imaginary line (if we were to fit a line to represent the trend), so the relationship is weak.

Answer:

weak negative