Winning Heights in the Men’s Olympic High Jumps
The Olympics are an international sporting event that is held every four years where people from around the world send their best athletes to compete and see who the best of the best is when it comes to sports. The Olympics date back to Ancient Greece where their basic events included track and field, which are like men’s high jump which is the topic of this report. In this problem we are looking at the data collected from the gold medalists in the men’s high jump in from the years 1932-1980, excluding the years 1940 and 1944 where the Olympics were not held due to World War II.
Below is the data for the gold medalists in the men’s high jump from the years 1932-1980 (again…show more content… The graph of this function is shown below
On the graph above you can see that both the quadratic and the line are both adequate representations of the data collected by gold medalists for the men’s high jumps in the Olympics. Both of these lines follow the plots made on the original graph and they don’t stray too far from those lines either. There only outlier for the quadratic seem to be the medalist from the 1948 Olympics because his height is far below the quadratic. There might be some problems with the exact position of where the quadratic is and where the line is because they were drawn by hand and not on the computer like the stat plots which could potentially cause problems for interpreting the data. To figure out what the predicted outcome of both the 1940 and 1944 Olympics all you have to do is plug in 1940 in to the equation y=3.02x+191, which was what was used in the graph that showed just the linear equation, to figure out this answer for the 1940 Olympics. You can do this because in this case the x represents the year and when you place in the year and solve out the equation you get what the predicted height would be for 1940. When you plug in all the numbers you get 200.6 cm as the predicted height for 1940. In the case of 1944 you would do the exact same thing but instead of plugging in 1940 in for x you would plug 1944 into the equation. For the 1944 the predicted answer for the height of the men’s long jump would be 200.3 cm. The problem also