IntroductionEvery 4 years, the Olympic Games are a major event around the world. International athletes come together to represent their country in a sport. The winner of each match is awarded a gold medal. This internal mathematical evaluation aims to consider trends in the men's gold medal winner's pole vault height from 1932 to 2008, and predicting the record of 1940 and 1944, when the Olympic Games were not held in cause of the world war. Data: Height Records 1932-2008 The following table shows the men's pole vault gold medals at the various Olympic Games between 1932 and 2008. Table 1: The men's pole vault winning heights in the games Olympics in the years between 1932 and 2008. (Excluding 1940 and 1944) Year 1932 1936 1948 1952 1956 1960 1964 1968 1972 1976 1980 1984 1988 1992 Height (m) 4.31 5 4.30 4.55 4.56 4 ,70 5.10 5.40 5.50 5.50 5.78 5.75 5.90 5.80Year 1996 2000 2004 2008Height (m) 5.92 5.90 5.96 5.95A graph has been produced for visually represent this data using excel.Graph 1: The record winning heights of the men's pole vault in the Olympic Games in the years between 1932 and 2008. (Excluding 1940 and 1944) The x-axis represents the year in which the Olympic Games were held, and starts in 1932 and ends in 2008. The y-axis represents pole vault gold medals in meters. However, there is some limitation to this graph. Since no Olympic Games were held in 1940 and 1944 due to the World War, the data is inconsistent as there are 2 years of gold medal records missing. The graph also only shows Olympic Games heights from 1932 to 2008, which represent a small section of the overall Olympic Games data. The pole vault games began in 1896. Linear model Graph 2: The winning peaks of the Olympic games compared to the year between 1932 and 20...... middle of the sheet ...... compared to years between 1932 and 2008, which shows the natural logarithmic relationshipI made assumptions about the effects of World War II on the logarithm graph and again led to ignoring the 1932 and 1936 data. The result would be a logarithm that would exclude the war, and this is shown in the next graph. Chart 7: Graph of winning heights over the years from 1932 between 1948 and 1980 showing the natural logarithm graph. This modified chart allows the natural logarithm chart to model the record better than removing two points, 1932 and 1940. Most of the points are overshot by the chart and are closed to the line. Chart 8: Winning Heights Chart (m) versus the years since 1932Since it is difficult to do calculations with actual years, I created a graph of the height versus the years since 1932. When considering the trend line and possible equation of this graph pattern.