# 4x100 Medley Relay

## How it Works?

The four by one hundred medley relay is a fun, fast paced competition in which four swimmers rotate through four types of swimming- backstroke, breaststroke, butterfly, and freestyle, with a length of 100 meters per leg.

## Study Goals

In this study, the goal is to find out when women will surpass men in terms of speed for the 4x100 medley relay. Currently, men have a substantially faster time and have had so since 1976, when the competition was first included in the Olympics. Over the years, both the men and women's times are improving, and the study will hopefully tell us when the women will have better times than the men.

## Linear Regression

These lines of best fit represent the trend for men's and women's gold medalist times for the 4x100 medley relay. The red represents women's, and the blue is men's. As you can see, the women have a significantly higher overall time, but both sexes have rapidly decreasing times over the years.

## What This Means

This intersection tells us a few things. The x axis is like a calendar- it shows us the years of the olympics, starting from 1976 when the relay was added to the games. The y axis is more like a stopwatch. By using the data from the past games, it predicted what the overall time would be -640.38 seconds when the men's and women's times are the same. However, this is obviously impossible, as you cannot complete something in negative time. This means that the men's and women's time will never intersect, as long as the current trend continues.

## Axes

Although the above paragraph kind of explained, let me clear up what the axes mean. The x axis works as a calendar; all it did was lay out the olympics dates, which are every four years. The y axes, like I said earlier, is somewhat like a stopwatch. The calculator used the data I input, which was the times from past competitions, to predict the overall time for the competition when both the men and women's times were equal. The x coordinate is 3858, (years)and the y coordinate is -640.38 seconds or -10.67 minutes. They show us that if the pattern continues, the overall times will only overlap once they are in the negative. Therefore, they show us that the times will never overlap, at least as long as this trend continues.