Personal consumption expenditures (in billions of dollars) for several types of recreation from 2005 through 2010 are shown in the table, where x is the expenditures on amusement parks and campgrounds, y is the expenditures on live entertainment (excluding sports), and z is the expenditures on spectator sports. 

A model for the data is given by 0.46x + 0.30y - z = 4.94.

(a) Complete a fourth row in the table using the model to approximate z for the given values of x and y. Compare the approximations with the actual values of z.

(b) According to this model, increases in expenditures on
recreation types x and y would correspond to what kind
of change in expenditures on recreation type z?

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Year 2005 2006 2007 2008 2009 2010 42.4 44.7 43.0 45.2 17.4 17.5 17.0 20.0 20.5 20.1 21.4 X y N 36.4 39.0 15.3 16.4 16.6 18.1 17.3