The following table shows the number of students taking the Advanced Placement (AP) Statistics Exam in recent years.

Use a calculator with logistic regression capability to do the following.
(a) Letting t represent the years since 2000, plot the number of exams y against the number of days t. Discuss the appropriateness of fitting a logistic function to these data.
(b) Use the logistic regression function on your calculator to determine the logistic equation that best fits the data.
(c) Plot the logistic regression function from part (b) on the same graph as the data points. Discuss how well the logistic equation fits the data.
(d) Assuming the logistic equation found in part (b) continues to be accurate, what seems to be the limiting size of the number of exams?

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Year 2009 2010 2011 2012 2013 2014 2015 2016 2017 2018 2019 Number of Exams 116,876 129,899 142,910 153,859 169,508 184,173 195,526 206,563 215,840 222.501 219,312