Final answer:
Without specific data, it's impossible to choose an exponential regression equation from options B, C, or D. To find an exponential regression, you'd input data into a calculator or software to determine the parameters 'a' and 'b' for the equation y = a * e^(bx), and round these to the nearest hundredth as per the question's instruction.
Step-by-step explanation:
The question asks for an exponential regression equation for a given dataset, but since the data is not provided, selecting one of the provided equations (B, C, or D) is not possible. Instead, let's focus on how you would typically generate an exponential regression equation. First, you would enter your data into a calculator or computer software capable of performing regression analysis. Using this tool, you can then fit an exponential model to your data, which usually takes the form y = a * e^(bx), where 'a' is the initial value, 'e' is the base of the natural logarithm, and 'b' is the growth rate. The values of 'a' and 'b' are determined by the software to minimize the differences between the predicted values and the actual data (a method known as 'least squares'). Once the best-fit values for 'a' and 'b' are calculated, you round them to the nearest hundredth, as the question requests, to form your final equation.