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Question 6 • CMS 2026-2027 NC Math 1 CREDIT RECOVERY

Which graph shows data whose r -value is most likely closest to 0 ?

Answer

Image with description A coordinate plane with plotted points. The x-axis and y-axis are unlabeled. There are eight points plotted on the plane showing a generally increasing trend with some fluctuations.

Image with description A scatter plot across the axes. The horizontal x axis and vertical y axis intersect at the origin, 0 comma 0. There are 11 diamond-shaped data points plotted on the plane. One point is located exactly at the origin 0 comma 0. Another point is located to the right of the y axis and just above the x axis in the first quadrant. The remaining 9 points are scattered to the right of the y axis and below the x axis in the fourth quadrant, showing a general downward pattern.

Image with description A scatter plot. The horizontal x axis and vertical y axis intersect at an unlabeled origin. There are 11 diamond-shaped data points plotted on the plane. One point is located exactly at the origin. Five points are located to the right of the y axis and above the x axis in the first quadrant. The remaining 5 points are located to the right of the y axis and below the x axis in the fourth quadrant. The points are scattered widely above and below the horizontal axis, showing no distinct pattern.

Explanation

The correlation coefficient r measures the strength and direction of a linear relationship. In choice B, the points are scattered above and below the horizontal axis without a clear upward or downward pattern, so the linear relationship is weak and r is likely closest to 0. Choice A has an upward trend, while C and D have downward trends, indicating stronger correlations than B.

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