The accompanying table shows the value of a car over time that was purchased for 15600 dollars, where x is years and y is the value of the car in dollars. write an exponential regression equation for this set of data, rounding all coefficients to the nearest hundredth. using this equation, determine the value of the car, to the nearest cent, after 15 years.
years (x) value in dollars (y)
0 15600
1 14254
2 1218912189
3 10822
4 9618
5 7994
6 6686