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MMLU / Suppose there is a correlation of r = 0.9 between number of hours per day…

Problem

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question

Suppose there is a correlation of r = 0.9 between number of hours per day students study and GPAs. Which of the following is a reasonable conclusion?

choices

  1. 90% of students who study receive high grades.
  2. 90% of students who receive high grades study a lot.
  3. 90% of the variation in GPAs can be explained by variation in number of study hours per day.
  4. 81% of the variation in GPAs can be explained by variation in number of study hours per day.

subject

high_school_statistics

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Source and history

Official source

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