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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 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 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 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.

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

1 answer

To determine the strength of the relationship between the points plotted on the coordinate plane, we look at the arrangement of those points.

  • If the points model a straight line or a clear curved pattern, this indicates a strong relationship. This means that there is a consistent and predictable relationship between the x-values and y-values, suggesting that one variable could effectively predict the other.

  • If the points do not model a straight line or a clear curved pattern, the relationship is considered weak. This suggests that there is less predictability or consistency between the x-values and y-values.

Given the options provided, the correct choice based on the description would be:

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

This choice reflects a misunderstanding in the labeling since a strong relationship typically suggests a clear trend (whether linear or nonlinear) while a weak relationship indicates randomness or lack of a clear trend. Given this logical discrepancy, if you have clearer data about how the points are arranged, that would help make a more accurate choice.