Math 6010-1, University of Utah, Fall 2014
Linear Models: Homework Assignments
Week 7 (Due Dec 12, 2016) The project (in pdf) (Due Oct 31) Have a look at the first 4 sections of Chapter 4. Read Chapter 5, through Section 5.3. Problems. Miscellaneous Exercises 4 (p. 118), #2, 4. Miscellaneous Exercises 5 (p. 136), #2 (this regards Bonferroni bounds), 6, 7. Solutions to Exam 1. (Due Oct 17) Complete reading Chapter 2. Read Chapter 3, sections 3.1 through 3.5. For additional related (and practically important) topics, skim through Sections 3.9 and 3.13. Problems. Miscellaneous Exercises 2 (p. 31), #10, 11, 17. Miscellaneous Exercises 3 (p. 93), #1, 5, 6, 10,14. (R Mini project). Do the following 5 times: Simulate (ideally in R) 100 independent standard normal random variables. In each of the 5 cases, plot the histogram. Discuss how well the histogram does, or does not, resemble the standard normal density. Assorted solutions to week 5's Homework 2. Begin carefully reading Chapter 2 up to, but not including, Section 2.4. Problems. Miscellaneous Exercises 2 (p. 31), #1, 2, 3, 4, 9. The Midterm is coming up. It covers the material of Chapters 1 and 2. It requires also good command of the linear algebra that we have built up so far. You might wish to begin preparing for the midterm now. Solutions to week 4's Homework 2. Finish reading appendix A, and read the lecture notes (up to and including projection matrices, at the very least). (due Sept 9th) Read very carefully Appendix A, and Lectures 1-3 of the lectures notes (link). (due Sept 3rd) Read very carefully Chapter 1. Problems. Miscellaneous Exercises 1 (p. 15), #2, 4, 5. Solutions to Homework 1.

155 South 1400 East, Room 102, Salt Lake City, UT 84112-0090, Tel:+1 801 581 3896, Fax:+1 801 581 4148