r = −0.03

Question

r = −0.03

BlackTom AI · Accepted Answer

The question presents a correlation coefficient: r = −0.03, and provides four answer choices labeled by the strings: 3, 2, 4, and 1.
Option 1: '3' — This label does not convey any information about the strength or direction of the relationship by itself. If the task is to interpret the magnitude of r, choosing '3' would be unrelated to the numerical value of r = −0.03, so this option is not a correct interpretation.
Option 2: '2' — Similar to the first option, the label '2' does not map to the observed small magnitude of r = −0.03. Since the numerical value indicates an almost imperceptible linear relationship, selecting '2' would fail to reflect that fact.
Option 3: '4' — This is the third option in the list, which the provided answer key marks as correct. Interpreting r = −0.03, the correlation is extremely close to zero, indicating a negligible or no linear relationship between the variables. If the intended interpretation among the choices is to identify the near-zero strength, then the third option aligns with that characterization in the key.
Option 4: '1' — The label '1', like the other single-digit labels, does not by itself describe the observed r value. Selecting this option would not accurately reflect that the correlation is near zero in magnitude.
In summary, the near-zero value of r = −0.03 signals a negligible linear association, and among the given options, the third choice is identified by the key as the correct one. The other options fail to connect the numerical value to the concept of a very small or negligible correlation, instead offering labels that do not convey the strength of the relationship.

FA25_QTM_100_3 8.8: Match the correlation, Part II.

r = −0.03

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