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MMLU-Pro / 8981 / Which of the following statements about the correlation coefficient is true?

Problem

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question

Which of the following statements about the correlation coefficient is true?

category

math

options

  1. A correlation of 1 indicates a perfect cause-and-effect relationship between the variables.
  2. A correlation of -1 indicates a perfect cause-and-effect relationship between the variables.
  3. The correlation coefficient is always less than 0.
  4. Correlation applies equally well to quantitative and categorical data.
  5. The correlation coefficient and the slope of the regression line are always equal.
  6. The correlation coefficient and the slope of the regression line may have opposite signs.
  7. Correlations of +0.87 and -0.87 indicate the same degree of clustering around the regression line.
  8. A correlation of 0 indicates a strong positive relationship between the variables.

src

ori_mmlu-high_school_statistics

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Source and history

upstream_id / Original problem ID
8981
task_id
d8250535-adb1-53b1-95c6-b3aaf036bd1f
task_key
default--test--8981
task_revision_id
1
config / split
default / test

Official source

initial import