A company producing computer components has established that, on the average, a new employee can assemble N(t) components per day after t days of on-the-job training, as indicated in the following table (a new employee s productivity usually increases with time on the job, up to a leveling-off point):

(A) Find a quadratic regression equation for the data, and graph it and the data set in the same viewing window.

(B) Use the regression equation and a numerical integration routine on a graphing calculator to approximate the number of units assembled by a new employee during the first 100 days on the job.