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The Sky Is the Limit Portfolio. In this assignment I will be building a model for the relationship between the winning heights in mens high jump and the years that they took place.

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  • Essay length: 2165 words
  • Submitted: 24/01/2012
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International Baccalaureate Maths

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The Sky is the Limit

In this assignment I will be building a model for the relationship between the winning heights in men's high jump and the years that they took place.

The high jump event in the Olympics is a track and field athletics event. It is held every four years in the summer Olympics. In the event competitors must jump over a horizontal bar that is placed at various heights. The high jump has existed for centuries now and was popular in ancient Greece. Javier Sotomayor holds the current world record for men's high jump with a jump of 245 centimetres.

The table below gives the height (in centimetres) achieved by the gold medalists at various Olympic Games. Note: the Olympics were not held in 1940 and 1944 due to World War II.

The independent variable is time; so let t years be the time. The dependant variable is height; so let h centimeters be the height. It is important to note that height cannot be negative as it is physically impossible to have a jump that is below 0 centimetres.

A constraint of plotting this data is that there are two missing

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