The table shows the numbers N (in millions) of students enrolled in elementary and secondary schools in
Question:
(a) Use a graphing utility to create a scatter plot of the data. Let t represent the year, with t = 5
corresponding to 2005.
(b) Use the regression feature of the graphing utility to find a quartic model for the data. (A quartic model has the form at4 + bt3 + ct2 + dt + e, where a, b, c, d, and e are constant and t is variable.)
(c) Graph the model and the scatter plot in the same viewing window. How well does the model fit the data?
(d) According to the model, after 2014, when did the number of students enrolled in elementary and secondary schools fall below 48 million?
(e) Is the model valid for long-term predictions of student enrollment? Explain.
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