# Swimming: 200m Freestyle

## What is 200m Freestyle?

Dive into the Summer Olympic Event, 200m Freestyle! This rapid sport surprises everyone around the block, giving them a huge adrenaline rush! For more than 40 years, the Aquatics world has undergone many changes, including the 200m Freestyle event. From Michael Phelps to Allison Schmitt, many men/women swimmers have passed through this event, with outstanding times. Each swimmer learns to make use of their entire body strength, in order to maneuver themselves in the water. The swimmers also have a choice of using any stroke they choose.

## History:How did swimming come to be (in the Olympics) ?

Swimming has been included in the Olympics since 1896. Freestyle was the first event added to the games. Backstroke was added in the 1900s. In the 1940s, breaststrokers discovered a way to increase their speed; by bringing both arms forward over their heads. Unfortunately, this way was forbidden in breaststroke. As a result, the "butterfly" technique was discovered, which made its first appearance in 1956 in Melbourne.This style is now one of four in the games. In 1912, Olympic women's swimming had begun at the Stockholm Games. Even though both men and women compete at the same events, men go at a distance of 1500m and women go at a distance of 800m.

## An Unlikely Match

Though men and women do not compete together, both genders have had amazing times in the past. With those past results, an analysis can be made. This analysis can lead to a variety of conclusions about the corresponding times.

## The Objective

With the use linear regression and methods of solving a system of equations, we can determine a specific trend between the two genders' results. Using this type of mathematics, we can also create a conclusion on which gender will surpass the other's performance at the event.

## Statistics

The data begins at the year of 1968. As you can see from the image, List 1 consists of the years for this specific Olympic event. List 2 is based off of the gold medalists' results for men, and List 3 is for the gold medalists' results for women.

## The Scatter Plot

The magenta-like X's are for the females, and the cyan-like square dots are for males.

## The Linear Regression

Each line represents the trend for each gender's medalist times. Red represents the female trend line, and blue represents the male trend line.

This intersection has not concluded a reasonable x and y coordinate. But, as you can see, the lines are decreasing. The two trend lines have collided extremely well. As a result, one of the gender's trend may not be seen under the other. You are able to notice that the genders' times are decreasing, as the years pass by. The blue trend line (male competitors) and the red trend line (female competitors) share a extremely close slope/steepness with each other. Each gender has resulted with finish times that are decreasing. In other words, both genders have gotten faster. At present, male competitors are outperforming female competitors.

## What does the "X Coordinate" mean?

The independent value represents the years, based on a normal timeline. The intersection point had an approximate x coordinate of -204. This x coordinate is not reasonable in this scenario, which leads us to a very interesting conclusion.

## What does the "Y Coordinate" mean?

The dependent value represents the time of the gold Olympic medalists. The intersection point had an approximate y coordinate of 640. Basing this coordinate off of time, 640 seconds would approximately correspond with 10 minutes and 40 seconds. But, this time does not occur due to a unreasonable x coordinate.

## Interpretation of X and Y Coordinates

Due to a unreasonable x and y coordinate, the intersection itself never took place, and it possibly never will. The present performance trends of each gender are predicted to occur in the future. The results gathered are meaningless, except to prove those trends.

## Conclusion

Male gold Olympic Medalists have outperformed female gold Olympic Medalists; their times are faster. At present, women have not surpassed the men. The two genders have and will not share a specific time at one point (point of intersection). We will just have to see the results in 2016!