University | Singapore Management University (SMU) |
Subject | Pre-Calculus |
Explore Data
Use the data in the table. Find at least three fitted curves (one may be a line). Graph the data and the three curves. Which fitted curve do you prefer? Explain.
Major League Soccer Attendance, the United States and Canada
Year |
Attendance | Year | Attendance | Year |
Attendance |
2002 |
2,215,019 | 2007 | 3,270,210 | 2012 |
6,074,729 |
2003 |
2,234,747 | 2008 | 3,456,600 | 2013 |
6,010,384 |
2004 |
2,333,797 | 2009 | 3,608,325 | 2014 |
6,184,804 |
2005 |
2,900,716 | 2010 | 4,002,000 | 2015 |
7,326,899 |
2006 | 2,976,787 | 2011 | 5,468,951 | 2016 |
7,375,144 |
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Analyze Data
Use the curves and data from your Explore Data worksheet.
- Identify the curve that passes through the most data
- Use that curve to predict attendance five years from
- Remove two data points and regenerate the fitted
- How does the new curve compare to the original curve?
- What does the new curve estimate for the removed data points? Describe how close the estimates are to the removed data
- Use the new curve to predict attendance five years from Compare your two predictions.
- Of your three curves from the Explore Data worksheet, which curve do you think would produce the most accurate estimate of attendance five years from now? Explain.
Plan Your Stadium
Find or build your own data set for a local stadium. Use your Explore Data and Analyze Data worksheets as needed.
Determine at least three different fitted functions for your data set. Graph the data and the curves.
Decide which fitted function(s) is/are most appropriate for predicting five years in the future and why.
Make a recommendation for the stadium planning committee as to the number of seats your stadium should have.
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