# 100m Backstroke

## Swimming

The 100m backstroke is a thrilling and wonderful Olympic summer sport. You have to have a strategy, and fast working legs to motor their way past the other competitors. This event has been taking place in the Olympics for 108 years for the men, and 88 years for the women. There were 45 competitors form 38 nations! 100 meter backstroke involves the competitors swimming backwards, which is called a backstroke. The competitors devote themselves to getting better and better until the day the olympics come, so they might have a chance at the gold medal. It takes a lot of strength, endurance, and proper breathing.

The reason for this article is to compare men's and women's times in one Olympic event. I chose the 100 meter backstroke event in the olympics because I enjoy swimming my self. I used the information from http://www.olympic.org to get all of my data. Another reason for this article is to see when men's and women's times surpass eachother. Also, if men's or women's times will be getting better, or worse.

## The Goal of the study

The goal of the study is to find out when the men and women's times will intersect. When we do, we can figure out what year the times will all be the same, and when the male or female times will be faster or slower.

## The scatter plot

In my scatter plot the squares represent the male competitor times, and the X's represent the female competitor times.

## Linear Regression

Each line of best fit represents the trend for Male and Female Gold medalist swim times. The red line of best fit is the female trend, and the blue line of best fit represents the male trend line.

The intersection is when the times intersect or are the same time. An intersection is a single point where two lines meet or cross with eachother. For example, in the picture on the left, the intersection point between the two lions is the point M. In my picture above, the intersection is at the point (2091.527498, 46.83833168) which is abviously not a corner point.

## The X coordinate

The X coordinate is always written first in an ordered pair of coordinates. Such as (1,5), the X coordinate would be 1. By definition, the X coordinate is the horizontal value In a pair of coordinates. The X coordinate in the 100 meter backstroke is (2091.527498). If you rounded that up it would be 2092.

## The Y coordinate

The Y coordinate is always written second in an ordered pair of coordinates (x,y). For example, if I gave you the coordinate (1,5), the Y coordinate would be 5. The Y coordinate in the 100 meter backstroke data that I collected would be (46.83833168). If you rounded that out, it would be 47.

## What do the X and Y coordinates mean?

The x and y coordinates are both meaningful. In my data, the X coordinate was 2092, and the Y coordinate was 47. This means in 2092, the men and women times will intersect, or be the same. The time will be 47 seconds. Over the 10 years of data, I saw that each summer Olympics from 1968-2012 got better. When I looked at my intersection point, and the lines of best fit, I concluded that after 2092 the women's times will surpass the men's. When the women's time surpass the men's, they will improve and be getting faster at a faster rate. The men's times will also improve, but they will not improve as fast as the women's.

### Rio de Janeiro - State of Rio de Janeiro, Brazil

#### Rio de Janeiro, RJ

The summer Olympics for 2016 will be a fun and exciting 31 summer Olympics!

## Gold medalist winners from 1968-2012 Men

Gold medalist winner Aaron Peirsol of team USA, poses with his medal after the medal ceremony for the men's swimming 100 meter backstroke event on August 16, 2004. The other gold medalist winners from the 10 years of data that I collected include-

2012- Matthew Grevers

Time- 56.16 seconds

2008- Aaron Peirsol

Time- 52.54 seconds

2004- Aaron Peirsol

Time- 54.06 seconds

2000- Lenny Krayzelburg

Time- 53.72 seconds

1996- Jeffrey Rouse

Time- 54.10 seconds

1992- Mark Tewksburg

Time- 53.98 seconds

1988- Daichi Suzuki

Time- 55.05 seconds

1984- Richard Carey

Time- 55.79 seconds

1980- Bengt Baron

Time- 56.53 seconds

1976- John Naber

Time- 55.49 seconds

1972- Roland Matthes

Time- 56.58 seconds

1968- Roland Matthes

Time- 58.70 seconds

## Gold Medalist from 1968-2012 Women

As you see in the picture on the right, Natalie Coughlin shows off her gold metal for 100 meter backstroke from 2008. She is one of the many people who have won a gold medal for 100 meter backstroke in the Olympic Games. The other gold medal winners from the 12 years of data that I used include-

2012- Missy Franklin

Time- 58.33 seconds

2008- Natalie Coughlin

Time- 58.96 seconds

2004- Natalie Coughlin

Time- 60.37 seconds

2000- Diana Mocanu

Time- 60.21 Seconds

1996- Beth Botsford

Time-61.19 seconds

1992- Kriztind Eqerzegi

Time- 60.68 seconds

1988- Kristin Otto

Time- 60.89 seconds

1984- Theresa Andrews

Time- 62.55 seconds

1980- Rica Rcinich

Time- 60.86 seconds

1976- Ulrike Richter

Time- 61.83 seconds

1972- Melissa Belote

Time- 65.78 seconds

1968- Kaye Hall

Time- 66.20 seconds