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The accompanying table shows the value of a car over time that was purchased for
18200 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 thousandth. Using this equation, determine the value of the car, to the
nearest cent, after 9 years.
Years (x) Value in Dollars (y)
0
18200
1
15728
2
13065
3
10845
9825
8450
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Regression Equation:
Final Answer:

The accompanying table shows the value of a car over time that was purchased for 18200 dollars where x is years and y is the value of the car in dollars Write a class=

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The value of the car to the nearest cent, after 9 years is; 4891 cents

How to solve exponential regression equations?

The exponential regression equation will be given as;

y = A₀e^(kx)

Where;

A₀ is the coefficient of exponential regression.

k is the constant.

For x = 0, the value of y will be $ 14100. Then we have;

18200 = A₀e^(k * 0)

Thus; A₀ = 18200

Thus, the exponential regression equation is;

y = 18200e^(kx)

For x = 1, the value of y will be $15728. Then we have;

15728 = 18200e^(k * 1)

Thus; k = -0.146

The equation is now;

y = 18200e^(-0.146x)

Then after 9 years, the value of a car will be

y(9) = 18200e^(-0.146 * 9)

y(9) = 4891

Read more about Exponential Regression equations at; https://brainly.com/question/9302810

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