# 200 Meter Dash

## The Exciting and Fast Paced Event

The 200 meter dash, also known as a sprinting running event in the summer olympics, is a very popular form of athletics that initially took place at the 1900 Paris olympics. The 200 meter dash is a short but anxious event that many enjoy.

## The Competition

Like most Olympic events, the 200 meter dash does not let men compete against women. However, by analyzing data from previous 200 meter dashes will help us reach conclusions and results such as what gender will dominate in the 2024 Olympics in the 200 meter dash.

## The Goal of The Study

By analyzing, graphing, and interpreting past information from Olympics, the goal of this study is to find out when male and female competitors will be in check and when one gender will dominate another. Mathematical predictions, estimates and linear regressions will contribute to recognizing trends and patterns in the 200 meter dash.

## The Data Table

The data begins in1976. The left hand column in the year, while the second and third column are times. The second column, denoted with a (M), are all the times of the male gold medal champions (200 meter dash) every Olympics from 1976-2012, while the third column is the times of all the female gold medalists from 1976-2012.

## The Scatter Plot

The blue square dots represent the male competitors while the red X's represent the female competitors. At this trend, we can see that the male competitors all have faster speed than the female competitors.

## The Linear Regression (Lines of Best Fit)

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

## The Intersection

The intersection of both lines shows many important results, one of which included the year at which the estimated times for both the female and male gold medalists will be the same. Past this point the male competitors will dominate and before this intersection, the predicted result is that the female competitors will dominate. Both lines are not very steep meaning that the male and female competitors time is not a huge difference.

## The X-Coordinate

The x-coordinate, or independent variable in this case is the year because it doesn't depend on any other variable. According to the intersection graph, the year the intersection occurred was in 1838; the next Summer Olympics occurs in 1840 so around that year, the female and male gold medalists would have around the same time.

## The Y-Coordinate

The y-coordinate, or the dependent variable is the time in seconds. The y-coordinate for the intersection is 46.39 seconds, meaning that in the year 1840, the next Summer Olympics, the male and female competitors' times would be around or almost equal to 46.39 seconds. After this intersection, the male competitors began to dominate by completing the 200 meter dash in a shorter time that the female competitors.