Chapter 9-10 Study Guide

  1. Know the range of Pearson's correlation coefficient.
  2. Know what r = 0 implies and doesn't imply.
  3. Know what r-squared is.
  4. Know what significant linear correlation implies and doesn't imply.
  5. Know how many degrees of freedom there are for the different tests.
  6. Know what kind of test to use on the chi-square tests in chapter 10.
  7. Know the assumptions about contingency tables.
  8. Know the assumptions about multinomial experiments.
  9. Know the properties of the Linear Correlation Coefficient and the assumptions made to test about it.
  10. Be able to work a correlation problem involving Statdisk output. This involves determining if there is correlation or not, estimating a value, determining the percent of explained variation, and the value of r-squared.
  11. Determine the degrees of freedom for a contingency table and explain how to calculate the expected frequencies.
  12. Determine the type of linear correlation from a scatter-plot.
  13. Determine the value of r if the data is modified (see lab).
  14. Determine the value of the chi-square test statistic if the data is modified (see lab).
  15. Perform a complete hypothesis test using a multinomial experiment. This is like the dice problem we did in class.
  16. Complete a contingency table by finding the expected frequencies. In number 11 you just had to tell how to find it, now you actually have to find it.
  17. Analyze Minitab output. Determine which three variables should be kept or eliminated.
  18. Find the explained and unexplained variation given the total variation and the value of r.
Problems 1 - 14 must be worked alone.
Problems 15 - 18 can be worked together with up to two other persons if you complete the following survey and submit it. The other person(s) in your group must also complete the survey.

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Some distributions are listed and some reasons that distinguish one distribution from the others. Check any distribution and the reason it's different.

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Normal
Student's t
Chi-square
F

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Requires two degrees of freedom
Best suited to p-value approach
Developed by Irish brewery worker
Used to test a single variance

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