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Unformatted text preview: PSTAT 120C: Assignment # 4 Due May 11, 2006 These problems are due in two weeks. The midterm exam is next Thursday, May 4 during the lecture time. See the web page http://www.pstat.ucsb.edu/faculty/carter/classes/120c/assign4.htm to download the data for these questions. You can use whatever computer software you are familiar with to do the calculations. Please submit concise print outs showing your work. 1. The file trackrecords.xls contains the Olympic record in mens track and field for races of various lengths. (a) Fit a straight line to this data that predicts the time of the record as a function of the distance of the race. (b) If the length of the race is 0 meters then the runners would be finished immediately and the record would be 0. Test the null hypothesis = 0 versus the alternative H : 6 = 0. (c) A linear model for this data seems to assume that runners are running at the same speed at different distances. It seems more likely that the runners are forced to slow down at longer distances. We can model this nonlinearity by taking the logarithm of the data.longer distances....
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- Spring '07