Mathematics 1040-1: An Introduction to Statistical Thinking University of Utah, Spring 2004 Homework Assignments
Final	At this point, your best preparation for the final exam would be to study, and solve carefully, the problems in the study guide below. I hope that you will use it well. (Good luck to all of you for the final exam, and your future endeavors. -DK) Final Exam Study Guide Final grades will be distributed by the registrar's in the usual way.
Weeks 13-15	This homework will not be collected; you will go over them in your section on Thursday. Study it with care. Read Chapters 16 and 21. Solve Problems: 16.2, 16.6, 21.2, 21.4, 21.6 A clickable Final Exam Study Guide will appear here on the eve of Saturday May 1st. You will need to know this material. Solve all of those problems; read the relevant portions from your text, and seriously think about the conceptual questions there.
Week 12	Midterm 3 coming up; you will be tested on scatterplots, correlation, and regression. This Pdf file may help in your preparation. You will need to know this lecture material, as well as your reading well. The test will be relatively short, but quite strict; i.e., not a lot of room for partial credit.
Week 11	Due April 14/15, 2003 Lecture notes on regression; see also here. Be sure that you have a conscientious attendance record, and take careful notes in the lectures. The text's coverage is not sufficiently in-depth. This problem uses the time-vs-pulse data of Exercise 14.9 (p. 276). Make a scatterplot. (Which is the explanatory variable?) Compute the correlation between time and pulse. You may need to check your answer several times. Find the equation of the regression line. One day, Professor Moore swam his usual $2,000$ yards in $34.2$ minutes. What is the regression's estimate for his pulse rate that day? Carefully explain your answer (to the previous part) to someone who does not know any statistical jargon. Midterm next week: All of regression (Ch. 14, 15, and all of the material of the lectures).
Week 10	Due April 1, 2004 Read Chapters 14 and 15 and, very carefully, the lecture notes. Solve Chapter 14 exercises: 14.4, 14.6, 14.8 Solve Chapter 15 exercises: 15.4, 15.8, 15.18, 15.26 Consider the following parts of an internationl health data that is geared toward the analysis of the effect of fat intake in longevity ( Diet for a New America by J. Robbins, Walpole, NH 1987): Country Dietary fat (grams/day) Death rate (per 100,000) El Salvador 38 0.9 Philippines 29 1.3 Japan 42 1.6 Mexico 57 4.5 Finland 112 11.1 United Kingdom 143 12.4 Germany 134 12.9 Canada 142 13.4 Denmark 156 15.9 As an amusing aside, the highest death-rates was Norway (16.8), and the highest fat intake was Denmark (156). Compute the correlation between the amounts of daily dietary fat intake and death-rates for the countries in the preceding table. Use your correlation computation to compute the equation of the regression line where x (the explanatory variable) is the fat intake, and y (the response) is death rate. [You will need the means and SDs of x and y, so set aside some time for these computations.] In the US, the amount of fat (in grams/day) ingested was 147. Predict, using regression, the death-rate (per 100,000) in the US in 1983. The actual death-rate in the US was 16.3. Explain why your prediction is different.
Week 9	Post Midterm/Spring break week
Week 8	Due March 10, 2004 But you turn it in during section on the Thursday following the exam. Midterm is on the 10th. It covers chapters 10 through 13 (inclusive). You can bring one sheet of paper. Be sure that you bring also a calculator; make sure that it works, and that you know how to use it. Read Chapter 13 Solve Chapter 12 exercises: 12.4, 12.6, 12.16 Solve Chapter 13 exercises: 13.6, 13.20, 13.22, 13.26
Week 7	Due March 4, 2004 Read Chapters 11 and 12; start on Chapter 13 Solve Chapter 11 exercises: 11.4, 11.10, 11.14 Solve Chapter 12 exercises: 12.2, 12.10, 12.12, 12.22
Week 6	Due February 26, 2004 Read Chapter 10 Solve Chapter 10 exercises: 10.8, 10.10, 10.18, 10.19, 10.26
Week 5	Midterm Week. Coincides with Pres.'s Day. No homework.
Week 4	Due February 11, 2004 Midterm One is upto and including this material; it is a multiple-choice exam. Read Chapters 8 and 9 Solve Chapter 8 exercises: 8.4, 8.5, 8.24 Solve Chapter 9 exercises: 9.8, 9.14, 9.18
Week 3	Due February 5, 2004 Read Chapters 5 and 6 Solve Chapter 5 exercises: 5.2, 5.12, 5.22. Solve Chapter 6 exercises: 6.2, 6.6, 6.12.
Week 2	Due January 29, 2004 Read Chapters 3 and 4 Solve Chapter 3 exercises: 3.6, 3.10, 3.24. Solve Chapter 4 exercises: 4.2, 4.4, 4.16.
Week 1	Due January 22, 2004 Finish reading Chapters 1 and 2 Solve Chapter 2 exercises: 2.2, 2.4, 2.6, 2.8, 2.10, 2.14

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© 2003 by the Dept of Math. University of Utah