r = −0.48

Question

r = −0.48

BlackTom AI · Accepted Answer

The question presents a correlation coefficient: r = -0.48, and provides four answer choices labeled 2, 1, 3, and 4.

Option 1 (the first alternative mention in the list) is typically an incorrect characterization if it suggests a direction or strength opposite to what r = -0.48 implies; since r is negative, any statement claiming a positive association would be inaccurate, and a commonly seen error would be labeling the relationship as positive or as zero/no correlation.

Option 2 (the second listed alternative) often represents an interpretation that does not align with the magnitude of -0.48. If this option claims a strong or near-perfect relationship, that would be inconsistent, because the absolute value |r| = 0.48 falls into a moderate range rather than strong. Similarly, if it asserts a very weak connection but still positive, that would also mischaracterize the negative sign and the moderate magnitude.

Option 3 (the third listed alternative) commonly proposes a different qualitative description, such as describing the relationship as weak, or ignoring the negative sign. If it posits a weak positive link, or claims no relation while r is clearly negative, it would be incorrect.

Option 4 (the fourth listed alternative) is presented as the correct one per the provided answer. Assuming this option states that there is a moderate negative correlation between the two variables (direction negative, strength moderate due to |r| = 0.48), this matches standard interpretation: r ranges between -1 and 0 and 0.3–0.7 is typically described as moderate. Therefore, the claim that the association is moderately negative aligns with the data.

In summary, the key takeaways are: a negative r indicates a negative association, the magnitude around 0.48 indicates a moderate strength rather than weak or strong, and any option claiming a positive direction, no relationship, or an incorrect magnitude would be incorrect. The option labeled 4 aligns with these interpretations, while options 1–3 likely diverge on direction, magnitude, or the existence of a relationship.

FA25_QTM_100_3 8.8: Match the correlation, Part II.

r = −0.48

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