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Unformatted text preview: drink more beer. The observed relationship probably results from how economic inflation and population growth influence both variables through the years. Note also that we only have aggregate data for the whole country, which is not data directly relevant to individual behavior. 5.69 a. The correlation between winning time and year is negative because the slope ( − .1094) is negative. b. y ˆ =255 − (.1094)(1994) = 36.86 seconds. The actual 1994 winning time of 36.33 seconds is 0.53 seconds faster than the prediction. c. Winning times decrease, on average, by .1094 seconds per year. d. The data used for the regression equation was for the years 1924 to 1992. Extrapolating as far beyond this range of years as 2050 could be extremely misleading. It is expected that the winning times will taper off eventually. The human body has limits and the winning times cannot keep decreasing at the same rate forever....
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This note was uploaded on 12/06/2009 for the course STAT 200 at Penn State.