Question: The number of US business bankruptcies for various years are listed below.

a) What about this data suggests that a quadratic model is likely to be the more

appropriate than a linear or exponential model?

b) Use regression to find a reasonable quadratic model, \(f\left( t \right)\), that represents the bankruptcies (in thousands) for the year that is t years since 1990. (Round values to three decimal places.)

c) Find \(f\left( 16 \right)\). What does your result mean in terms of the situation?

d) Find the vertex of f by hand. What does it mean in terms of the situation? Be specific.