MATH 533 Midterm: MATH533 Fall 2009 Exam

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One 8. 5 11 two-sided sheet of notes is allowed. Answer all your questions in the exam booklet provided. You must do both of the rst two questions (questions 1 and 2) and two of the remaining. You will receive points from the two questions with the highest marks from questions 3, 4, and 5. You will not lose points on the exam for any work on this question, you can only add points for any correct work that you provide. The total number of marks for the exam is 100, although it is possible score as high as 110 due to the bonus question. Scleroderma is an auto-immune disease that causes in ammation of bodily tissue, including lung tissue. The activity of the disease is measured by a questionnaire that is scored between 0 and 10. Researchers are interested in modeling disease activity as a function of di erent aspects of the disease.