# Swimming 200m Backstroke

## History

Swimming was not widely practiced until the 19th century when a society of Great Britain began to hold competitions. As people began to know about this sport, swimming entered the Olympics in 1896, as the first Olympics started, and the very first events were freestyle. Backstroke was added in 1900. Women's swimming came into the Olympics in 1912. Men's 200m backstroke was held at Paris in 1900, but was stopped and began again in 1964. Women's 200m backstroke started at Mexico in 1968. This event continuous to this day with many famous swimmers going against each other.

## Reason

As men and women don't compete against each in 200m backstroke, we examined the results from past Olympics to find out the year in which these two games might have same times or distances.

## Goal

The statistics and review uses linear regression and predictions to identify a progression of women's and men's 200m backstroke timings and which of these to is outrunning the scores. We will also be able to determine if this trend is going to change in the future. This will find a point of where the both gender's results will meet.

## Scatter Plot

The graph on the right is the scatter plot for the data points. The pink empty bordered squares represent the women's data points and the blue filled in squares are the men's data points.

## Linear Regression

The graph to the left is the same scatter plot with their lines of best fit for both sets of Olympic gold medalist times. The red line is the female trend line and the blue line is the male trend line.

## Intersection Point

The intersection point is very important for this project. Our goal is to see when the women's and men's times intersect and outperform using linear regression. Both of the trend lines are decreasing each year, which means that there times are getting faster based on the past data. After the lines intersect, the trend lines change position. This means that the women's times are predicted to decrease faster then the men as they male's have a greater slope. At present time, the points are showing that male competitors are outperforming women's but the graph shows that this will change soon.

## X Coordinate

The x coordinate of the intersect point is representing the year in which both times might be the same. It is showing that in the future, in the year of 2131. This year does not have an Olympics game which means that it's not a leap year. The next leap year would be 2132. This year would be when the women start to outperform the men, according to the trend lines.

## Y Coordinate

The y coordinate value, 79 seconds, converts to 1 minute and 19 seconds, in this case, is the time for swimming 200m backstroke. This is the approximate and predicated time for gold medalist for both male and female in the year 2131. Since the next Olympic games won't be until 2132, and both lines of best fit are decreasing, then the time for the two genders will be less than this. The women's is still predicted to be less than the men's and they will be outperforming soon.