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Algebra and the Mile Record

The college algebra and algebra 2 classes just finished a project to create a function to predict the evolution of the mile record. The classes were in groups of two and three students. They first plotted, by hand, a scatter plot of the mile record for the years 1911 through 1945. The students plotted a regression line through the data and created a function to represent the data. Then the graphing calculator was used to create a regression line function and a comparison was made.

Next the data from years 1954 through 1993 was entered into the calculator and another trend line generated. Finally, the data from both sets were combined to get a final regression line. Each time data was added, a better line was created. The students then made predictions on the record outside of their data set to see how accurate their functions were.

To cap off the project, the current mile records for both men and women were displayed, and the classes got a chance to watch a video of both races. The men’s record was set by Hicham El Guerrouj of Morocco in 1999 in Rome in a time of 3:43.13. The women’s record was set by Svletlana Masterkova of Russia in 1996 at Zurich in a time of 4:12.56.

 

  Men' Mile

 

 

Women's Mile    

 

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