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 excluding 1940 and 1944). Year| 1932| 1936| 1948| 1952| 1956| 1960| 1964| 1968| 1972| 1976| 198| Height (cm)| 197| 203| 198| 204| 212| 216| 218| 224| 223| 225| 236|
The problem asks for the points in the table to be plotted and I chose to put them into a scatter plot because that is the most logical way of graphing the data shown in the table above. Because the data is not continuous you would not make a line graph. The graph is shown below:
The graph shows that the data collected is for the most part an upward trend. You can tell this because most of the data goes up in a positive trend the majority of the time.
The problem asks for a function to describe the way that the graph moves up, for the most part, in a positive way and I believe the best way to show this trend would be to use a line graph. I feel like this would be the best representation of showing how the points on the graph have a positive trend because you can see the average trend between all the points in the graph. What I did to find the slope was to take the x and y coordinates of both the first and the last plots on the graph and plug them into the equation m=y2-y1x2-x1 where y and x are the x and y components of...