# 100m Freestyle

### Olympic Regression

The 100m Freestyle is a swimming event in the Olympics. It consists of competitors competing to see who is the fastest at swimming a distance of 100m. In other words it is a competition to see who has the lowest time swimming a 100m race. This event is in the summer Olympics and requires a lot of speed, muscle, skill, and many other things. The times in the 100m Freestyle are very low for Olympic gold medalists at around 48 to 56 seconds. This means that the competitors in the Olympics are very short of a second away from each other so you better pay attention or else you might miss a competitor finish.

## Reason For Article

This article shows the data of the times of male and female gold medalists in the 100m Freestyle event from 1976-2012. This data will include the times of the gold medalists and also include the data's trend. Research has shown that female competitors are getting better at the sports in the Olympics. I made this article to see if female competitors will ever have a better time at the 100m freestyle event than the male competitors. Remember that the data and the conclusion is based off of the times of gold medalists from 1976-2012 and is not proven entirely to be true. We can never have an exact change of times in gold medalists from each Olympic event to the next, so we can never make a perfect conclusion but the conclusion I make will be made from the data of gold medalists from 1976-2012. In this article I will accomplish a conclusion that will see when the female competitors will have a better time than the male competitors.

## Scatterplot Of The Data

The blue squares are the data for the men's gold medalists and the magenta crosses are the data for the woman's gold medalists.

## Scatterplot With The Lines Of Best Fit

The blue line represents the line of best fit for the men's gold medalists and the red line represents the line of best fit for the woman's gold medalists.

## Intersection

The picture above shows the intersection point of the two lines of best fit shown in a previous picture. The intersection point represents the point where both lines touch and also represents the year where both men's and women's 100m gold medalists freestyle times are the same. This year is 1184.208696, but since this year is before the olympics started, it means that there will never be a Olympic year where males and females times will be the same. Also the males side has a more negative slope than the female side making the males line of best fit steeper than the females line of best fit. This means that after the year 1184, (every Olympic year) will have the males times better than the females times. This means that the men's gold medalists times will always be better than the female's gold medalists times every year!

## The X Coordinate

The x coordinate of the intersection represents the year in which both men and woman's gold medalists times are the same. This year was about 1184. Since this year is before the Olympics started, it means that the men and the woman's times will never be the same ever in the Olympics. The men's times will always be better than the woman's times.

## The Y Coordinate

The y coordinate of the intersection represents the time that the men and woman's gold medalists got on the year that they were the same. To explain better, the x coordinate represents the year in which the men and woman's gold medalists time were the same; and the y coordinate represents the actual time the gold medalists got on that year. Like stated before, since the year which men and woman's gold medalists time were the same was before the Olympics started, the time that they got is not real since there wasn't an Olympics back then. But by using the lines of best fit the time the gold medalists would have gotten(if there was a Olympic event) is 115.009113 seconds.