Which statement best describes the association between variable X and variable Y?

moderate negative association
perfect negative association
moderate positive association
perfect positive association

Which statement best describes the association between variable X and variable Y moderate negative association perfect negative association moderate positive as class=

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Answer:

  (b) perfect negative association

Step-by-step explanation:

You want the best description of the association between X and Y given that the points in the scatterplot lie on a line with negative slope.

Sign

The sign of the association matches the sign of the slope of the points on the graph. Here, the points have a negative slope: an increase in X means a decrease in Y.

Strength

When the scatterplot is a straight line, the association is "perfect". The correlation coefficient is exactly ±1. Here, the slope is negative, so the correlation coefficient is -1, a perfect negative correlation, choice B.

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Additional comment

The association is "moderate" if the points form a cloud around a line. If the points just form a cloud with no discernible slope, the association would be "weak" or "minimal" or "near zero."