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Researchers in the journal Nature (Tatem et al., 2004) explored the winning times of the 100-meter dash in the Olympics for both men and women.

Researchers in the journal Nature (Tatem et al., 2004) explored the winning times of the 100-meter dash in the Olympics for both men and women. Using the winning times in the 1900 to 2004 Olympics, they noted that women's times were decreasing faster than men's times. In the article, they state, "... we show here thatif current trends continueit is the winner of the event (the women's 100-meter dash) in the 2156 Olympics whose name will be etched in sporting history forever, because this may be the first occasion on which the race is won in a faster time than the men's event." They used two linear regression lines, one for men and one for women, to come up with their conclusion. a. What, statistically, is quite troubling about their quote? 1. They should conduct a test for 2 means here instead of using linear regression. 2. they are using two linear regression lines when they were supposed to be using just one linear regression line 3. There are physical limitations and the same linear trend will not continue forever. They have extrapolated beyond the observed range of the data

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