ENROLLMENT The table shows the enrollment projections (in

Chapter , Problem 75

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ENROLLMENT The table shows the enrollment projections (in millions) for public universities in the United States for the years 2010 through 2012. (Source: U.S. National Center for Education Statistics, Digest of Education Statistics) (a) The data can be modeled by the quadratic function Create a system of linear equations for the data. Let represent the year, with corresponding to 2010. (b) Use the matrix capabilities of a graphing utility to find the inverse matrix to solve the system from part (a) and find the least squares regression parabola (c) Use the graphing utility to graph the parabola with the data. (d) Do you believe the model is a reasonable predictor of future enrollments? Explain.

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