Question

In: Statistics and Probability

In a large statistics class, students have taken two tests. For the following situations, report what...

  1. In a large statistics class, students have taken two tests. For the following situations, report what you would expect for the value of the correlation coefficient between test 1 score and test 2 score.

Every student scores ten points lower on test 2 than on test 1.

Hint: Draw a graph with test 1 score on the horizontal axis and test 2 score on the vertical axis. Place the dots for each student appropriately in the field based on how test 1 score compares to test 2 score.

  1. The correlation coefficient would be 0.
  2. The correlation coefficient would be –1
  3. The correlation coefficient would be +1
  4. The correlation coefficient would be a value not listed here.
  1. In a large statistics class, students have taken two tests. For the following situations, report what you would expect for the value of the correlation coefficient between test 1 score and test 2 score.

Every student scores twice as many points on test 2 than on test 1.

Hint: Draw a graph with test 1 score on the horizontal axis and test 2 score on the vertical axis. Place the dots for each student appropriately in the field based on how test 1 score compares to test 2 score.

  1. The correlation coefficient would be 0.
  2. The correlation coefficient would be –1.
  3. The correlation coefficient would be +1.
  4. The correlation coefficient would be a value not listed here.
  1. In a large statistics class, students have taken two tests. For the following situations, report what you would expect for the value of the correlation coefficient between test 1 score and test 2 score.

Every student scores half as many points on test 2 than on test 1.

Hint: Draw a graph with test 1 score on the horizontal axis and test 2 score on the vertical axis. Place the dots for each student appropriately in the field based on how test 1 score compares to test 2 score.

  1. The correlation coefficient would be 0.
  2. The correlation coefficient would be –1.
  3. The correlation coefficient would be +1.

  1. In a large statistics class, students have taken two tests. For the following situations, report what you would expect for the value of the correlation coefficient between test 1 score and test 2 score.

Every student guesses randomly on every question on both tests.

Hint: Draw a graph with test 1 score on the horizontal axis and test 2 score on the vertical axis. Place the dots for each student appropriately in the field based on how test 1 score compares to test 2 score.

  1. The correlation coefficient would be 0.
  2. The correlation coefficient would be –1.
  3. The correlation coefficient would be +1.
  4. The correlation coefficient would be a value not listed here.

  1. In a large statistics class, students have taken two tests. For the following situations, report what you would expect for the value of the correlation coefficient between test 1 score and test 2 score.

Every student scores 100 points for his/her combined score for the two tests.

Hint: Draw a graph with test 1 score on the horizontal axis and test 2 score on the vertical axis. Place the dots for each student appropriately in the field based on how test 1 score compares to test 2 score.

  1. The correlation coefficient would be 0.
  2. The correlation coefficient would be –1.
  3. The correlation coefficient would be +1.
  4. The correlation coefficient would be a value not listed here.

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