HERE IS MY QUESTION IN PHOTO

Table 4.1. below report the winning times for men and women in the final of the 100-meter (f) Set the fitted trends equal to each other and solve for the time period (i.e., year) when the Olympics race. trends cross). What do you conclude? [10 marks] Table 4.1: 100-meter Olympics winners Is the result you obtained in (f) plausible? Explain your answer. Year Men's 100-Meter Winner Seconds Women's 100-Meter Winner Seconds 1928 Percy Williams, Canada 10.8 Elizabeth Robinson, United States 12.2 1932 Eddie Tolan, United States 10.3 Stella Walsh, Poland 11.9 1936 Jesse Owens, United States 10.3 Helen Stephens, United States 11.5 1948 |Harrison Dillard, United States 10.3 Fanny Blankers-Koen, Netherlands 11.9 1952 Lindy Remigino, United States 10.4 Marjorie Jackson, United States 11.5 1956 Bobby Morrow, United States 10.5 Betty Cuthbert, Australia 11.5 1960 Armin Hary, West Germany 10.2 Wilma Rudolph, United States 11 1964 Bob Hayes, United States 10 Wyomia Tyus, United States 11.4 1968 Jim Hines, United States 9.95 Wyomia Tyus, United States 11 1972 Valery Borzoy, USSR 10.14 Renate Stecher, East Germany 11.07 1976 Hasely Crawford, Trinidad 10.06 Annegret Richter, West Germany 11.08 1980 Allan Wells, Great Britain 10.2 Lyudmila Kondratyeva, USSF 11.06 Carl Lewis, United States 9.99 Evelyn Ashford, United States 10.97 1988 Carl Lewis, United States 9.92 Florence Griffith-Joyner, United States 10.54 1992 Linford Christie, Great Britain 9.96 Gail Devers, United States 10.82 1996 Donovan Bailey, Canada 9.84 Gail Devers, United States 10.94 2000 Maurice Greene, United States 9.8 Marion Jones, United States 10.75 2004 Justin Gatlin, United States 9.85 Yulia Nestsiarenka, Belarus 10.93 2008 Usain Bolt, Jamaica 9.69 Shelly-Ann Fraser, Jamaica 10.78 Source: Wikipedia (a) Plot the winning times for both men and women on the same graph using an appropriate diagram. [15 marks] (b) Estimate two linear trend models (separately for men and women) using regression analysis and write down the equation for each model clearly. [25 marks] (c) Provide a precise interpretation for the estimated coefficients of each model. [10 marks] (d) Forecast each trend to 2040 and graphically illustrate the forecasts using an appropriate diagram. [20 marks] (e) From these projections, does it appear that the times will eventually converge? Explain your answer. [10 marks] Activate W