A researcher has found a negative correlation between elementary school class size and standardized test scores. The appropriate conclusion from this study is:

Question

BlackTom AI · Accepted Answer

1) Relevant knowledge points and concepts
A negative (or inverse) correlation indicates that as one variable increases, the other tends to decrease. Correlation measures association (direction and strength) but not causation. Observational studies can reveal associations that might result from direct effects, reverse causation, or confounding variables.

2) Step-by-step reasoning
- Let X = elementary school class size and Y = standardized test score.
- A negative correlation between X and Y means the correlation coefficient r < 0; graphically, points trend downward left-to-right.
- Interpreting that trend: higher X values (bigger classes) are associated with lower Y values (test scores) on average.
- Because this is a correlation from a researcher’s (likely observational) study, the correct interpretation is a statement about tendency/association, not proof of cause-and-effect.

3) Calculations / intermediate steps
No numerical calculation was provided, but conceptually: if r = -0.4, that negative sign alone is sufficient to state the tendency that larger class sizes correspond to lower scores. No regression slope or p-values are required for the qualitative interpretation given.

4) Why the correct answer is correct
The answer — “The bigger the size of a child’s class, the lower they tend to score on standardized tests.” — directly restates the meaning of a negative correlation: as class size increases, test scores tend to decrease. It uses the language of tendency (“tend to”), which is appropriate for correlation (an association), not causation.

5) Why other conclusions would be incorrect
Other common but incorrect conclusions would be: (a) claiming class size causes lower scores (causation not established), (b) claiming that reducing class size will necessarily raise scores (intervention effect not proven), (c) claiming no relationship exists (contradicted by the reported negative correlation), or (d) asserting reverse causation without evidence. Because no alternative options were provided here, these are typical incorrect inferences to avoid.

6) Conclusion
The provided answer accurately and appropriately restates the meaning of a negative correlation; therefore it is correct.

A researcher has found a negative correlation between elementary school class size and standardized test scores. The appropriate conclusion from this study is:单项选择题

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