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Use the image to answer the question.

Twenty-one points are plotted on a coordinate plane. The x-axis ranges from 0 to 12 in increments of 2. The y-axis ranges from 0 to 12 in increments of 2.

Which of the following best describes whether the relationship is strong or weak, and why it is that way?

(1 point)
Responses

The relationship is strong because the points do not model a curved line or straight pattern.
The relationship is strong because the points do not model a curved line or straight pattern.

The relationship is strong because the points model a straight line or curved pattern.
The relationship is strong because the points model a straight line or curved pattern.

The relationship is weak because the points model a straight line or curved pattern.
The relationship is weak because the points model a straight line or curved pattern.

The relationship is weak because the points do not model a straight line or curved pattern.
The relationship is weak because the points do not model a straight line or curved pattern.
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1 answer

To determine the strength of the relationship based on the given options, consider how the points are distributed on the coordinate plane:

  1. Strong Relationship: This typically means that there is a clear pattern or trend among the points, whether it be a straight line or a recognizable curved shape.

  2. Weak Relationship: This would suggest that the points are scattered without a discernible pattern, indicating little to no correlation.

Based on these definitions:

  • If the points are closely aligned along a straight line or follow a consistent curve, then the relationship is considered strong.
  • If the points are random and do not show any trend, then the relationship is weak.

Without seeing the actual image, if you can infer that the points do not form a pattern or trend, select:

The relationship is weak because the points do not model a straight line or curved pattern.

If the points show a straight line or a clear curve, then select:

The relationship is strong because the points model a straight line or curved pattern.

Choose your response based on the arrangement of those 21 points.