The 100 Meter Dash

Olympic Regression Project- Neil Upreti

“If everything seems under control, you're not going fast enough.” ― Mario Andretti

The 100 meter dash, is the shortest sprint race in track and field competitions. It is one of the most popular and prestigious events in the sport of athletics. It has been contested at the Summer Olympics since 1896 for men and since 1928 for women. The reigning 100 meters Olympic champion Usain Bolt is often named "The fastest man in the world." Jamaicans Usain Bolt and Shelly-Ann Fraser-Pryce are the reigning world and Olympic champions in the men's and women's 100 metres. On an outdoor 400 metres running track, the 100 meteres is run on the home straight, the start is usually set on an extension to make it a straight-line race. Runners begin in the starting blocks and the race begins when an official fires the starter's pistol. Sprinters typically reach top speed after somewhere between 50–60 m. Their speed then slows towards the finish line. The times are separated from anywhere between a few seconds to a tenth of a second.

Men Vs. Women

In the Olympics 100 Meter Dash, Men are only allowed to compete with Men and Women are only allowed to compete with Women. We must compare and analyze the data of races from previous Olympics. By comparing the times we can reach a conclusion about the differences in times between Men and Women, as well as the results of a match up between the two.

What is the Goal of the Study?

The goal of the study is to use mathematical analysis to observe, describe, and analyze the data shown by the 100 Meter Dash. By doing this we can view the trend lines and see whether Male or Female performance is superior. We can also predict if the gender currently outperforming the other will change in the future.

Scatter Plot of Mens and Womens 100 Meter Dash

The square points are the Women's times and the X's are Men's times. We can see that the Women's times are significantly higher than the Men's times.

Linear Regression (The Lines of Best Fit)

The line of best fit shows the trend line for the times of Men and Women Gold Medalist's. The blue line is the male trend line and the red line is the female trend line. We can see a steady decrease in the trend line hinting towards the fact that both Men and Women are slowly getting faster.

The Intersection Point

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In math, an intersection is the spot where two lines cross. Those lines share this common point. The center of the letter X formed by the trend lines is the intersection. The intersection point of two trend lines is an important point that allows us to gather lots of information. The trend line allows us to see that the lines have a negative slope. This means that both Men's and Women's times are getting faster.The blue line is the Women's trend line and the red line is the Men's trend line. In the past Female competitors were faster but according to the intersection point, the male competitors caught up and began to pull away in 1445. On another note the Olympics did not occur in 1445, they started in 1896 meaning the intersection happened before the Olympics started.

The Final Stretch

The X Coordinate

The independent variable in this scenario is the year of the Olympic. The Independent Value represents years according to a normal timeline. The X-Coordinate occurs in the year 1445 the Summer Olympics did not occur in 1445. The next Summer Olympics after 1445 was in 1448. Meaning , in 1448 the Men began to out perform the Women in the 100 Meter Dash. They continued pulling away, becoming significantly faster than their Female counterparts.

The Y Coordinate

The dependent variable in this situation is the time in seconds it took to run the hundred meter dash. In the year 1445 the Summer Olympics did not occur, but if they did the winning time and Dependent Value would be 14.46 seconds. This is the estimated Gold medalist time for both men and women, because the Olympics did not occur in 1445 but 1448 the time will be faster because of the trend lines are decreasing. Though the difference is quite small the Men's time was faster than the Women's in 1448.
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