100 Meter Freestyle
By: Chandana Kantareddy
The Goal of the Study
In many olympic events women’s performance is getting closer to the same level as men’s. Even though men may have better times than women, the women are improving more in some events by increasing at a faster rate. But in some events men and women are both slowing down. We are trying to determine if women’s performance is likely to surpass men’s performance for a certain event and when that will happen.
- First we used winning results to make a table in our graphing calculator to display men's and women's performance for the event we chose.
- Then we made a scatter plot for our data.
- Next we created a line of best fit for each set of data.
- Then we found the equation for each of our lines of best fit.
Finally using the equations for the lines of best fit we solved the system of equations.
This data shows that men have faster times than women.
The Data Continued
This data also shows that men have had faster times than women and that they are both getting faster.
This data shows that both men and women are getting faster because it has the fastest times out of the rest of the data.
The Data Continued
The Linear Regression (Lines of Best Fit)
Currently men are performing better at 100 meter freestyle than women in Olympic competitions because their times are faster. But both of their times are decreasing at about the same rate. Based on a linear regression, it is predicted that women and men won't ever have the same times and in the future women will never surpass men. From the graph we can see that the intersection point was somewhere even before the Olympics started. Since the intersection was such a long time ago we can't expect women and men's times to be the same. Also since the slopes of the lines are so close it is predicted that women won't surpass men in this event. Even if the times keep decreasing the men’s gold medalist time should still be faster than the women’s gold medalist time.