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1. Do Activity 1 on page 50-51 of Activity-Based Statistics. It's a nice check of your "intuitive" feel for correlation.
2. So you've just graded your class's second midterm and went through the trouble to discover that the correlation between midterm1 and midterm2 is 0.68. Oh no! You just realized that you graded a problem wrong, and that score on midterm2 should go up by 5 points. How does this affect the correlation? Explain.
3. The correlation between midterms 1 and 2 is positive. Is it possible that, on average, the class did worse on midterm 2 than on midterm 1? Explain.
4. One of your students, Rapunzel, scored half a standard deviation above average on the first midterm. The average on the second midterm was 75. Can you predict Rapunzel's score? If no, explain what additional information is required. If yes, then predict!
After giving it that old AP College Try, click here for solutions.