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MMLU-Pro / 8555 / For the regression line, which of the following statements about residuals is…

Problem

Answer published by the source. Consult the official source to check your work against its answer.

question

For the regression line, which of the following statements about residuals is true?

category

math

options

  1. The sum of the residuals is always one.
  2. If the correlation is 0, there will be a distinct pattern in the residual plot.
  3. The larger the residuals, the better the linear model.
  4. The residuals are always negative.
  5. If the correlation is 1, there will be a distinct pattern in the residual plot.
  6. The residual plot will always be a straight line.
  7. Influential scores have large residuals.
  8. The mean of the residuals is always zero.
  9. If the linear model is good, the number of positive residuals will be the same as the number of negative residuals.
  10. The residuals can never be zero.

src

ori_mmlu-high_school_statistics

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Source and history

upstream_id / Original problem ID
8555
task_id
f62c0273-9219-5b47-80e1-f4ded3bf767b
task_key
default--test--8555
task_revision_id
1
config / split
default / test

Official source

initial import