The 4 by 200 meter freestyle relay consists of four swimmers, each swimming 200 meters, one after another. The top 18 national relay teams for both the men and the women qualify to race in the...

Extracted text: The 4 by 200 meter freestyle relay consists of four swimmers, each swimming 200 meters, one after another. The top 18 national relay teams for both the men and the women qualify to race in the Olympics. The first round consists of two heats of 8 teams in which four teams from each heat move on to compete in a final of eight teams. When watching the Olympics you often notice men's and women's teams from the same nation standing on the podium, so we wonder: Is there a correlation between men's and women's relay times? Nation Men Women AUS 7:10.50 7:44.41 AUT 7:17.94 BEL 7:14.44 CAN 7:15.22 7:50.65 CHN 7:06.30 7:53.11 DEN 7:15.04 ESP 7:54.59 FRA 7:02.77 7:47.49 GBR 7:09.33 7:52.37 GER 7:06.59 7:58.93 HUN 7:11.64 7:54.58 ITA 7:12.69 7:52.75 JPN 7:11.74 7:54.56 NZL 7:17.18 7:55.92 POL 8:13.76 RSA 7:09.65 RUS 7:11.86 7:56.50 SLO 8:04.69 UKR 8:12.67 USA 6:59.70 7:42.92


Extracted text: (a) Create a scatter plot relating men's and women's 4 by 200 freestyle relay times. Choose File No file chosen (b) Describe the trend or lack of trend. Are there any influential points? (c) Are the men's and women's times correlated? Find the correlation coefficient and explain. (d) Do men's times have a causal relationship with women's times? Explain. (e) How do you predict the scatter plot would change if you collected relay finish times for the past five Olympic games? Explain.