# 4x100 Meter Relay

## Speed, Strength, and Teamwork

The 4x100 meter relay is one of the most physically challenging events in all of the olympics. With sprinters reaching speeds of 27.78 mph it takes one special person to compete in this relay. The runners are in a team of four where each runner completes 100 meters each, in all running 400 meters.

## An Unlikely Match

In the olympics, men and women do not compete against each other for the sake of fairness and a more even match. By analyzing data from the past, we can reach conclusions about what might be the results of such a competition.

## The Goal of the Study

The data below uses linear regressions and mathematical predictions to recognize trends in the performance of men and women in the 4x100 meter relay over 40 years. Using this data it is possible to determine which gender is currently out performing the other and if that trend will change in the future or has changed from what it previously was in the past.

## The Scatterplot

The square dots represent the male competitors and the X's are female competitors.

## The Linear Regression (Lines of Best Fit)

Each line represents the trend for male and female Olympic gold medalist times. Red represents the female times and blue represents the male.

## The Intersection Point

The intersection of the trend lines is very important point that reveals a great deal of information in the study. The line shows a very slight decreases which gets more drastic overtime, this means that the athletes are slowly getting faster. In the picture you can see that the redline (females) started off lower than the blue line (males) but then it went slightly above. This shows that the females were once slightly faster, but overtime gradually became slower than the men. Although the females became slower than the males, both sexes are getting faster overtime.

## The X Coordinate

The independent or "x" value represents the years. The x-intercept occurs in the year 1753 which is not a summer olympics year. In fact, the olympics didn't exist in 1753, but if it did, the year before (where women were still faster) would be in 1752.

## The Y Coordinate

The dependent or "y" value represents the seconds that it takes the sprinter to complete their portion of the 400 meters. The y-intercept is approximately 45.68 seconds. This would have approximately been the time of the gold medalist in the year 1753. Since the olympics would've happened a year before the time would have been slightly greater. The women's gold medalist time would've been the better/lesser of the two until the year 1753 when they would've been the same. Since 1753, men have and will always be the faster sex.