The table below lists world motor vehicle production in recent years.

Sources: Automotive New Data Center; R. L. Polk
a) Use a graphing calculator to fit a quadratic sequence regression function an = an2 + bn + c to the data, where n is the number of years since 2001.
b) Estimate the world motor vehicle production in 2010, in 2011, and in 2012.

World Motor Vehicle Production (in thousands of units) Year, n 2001, 0 2002, 1 2003, 2 2004, 3 2005, 4 2006, 5 2007, 6 2008, 7 2009, 8 57,705 59,587 61,562 65,654 67,892 70,992 74,647 67,602 59,096