Answer:
Option C is correct
[tex]y = 12.11 \cdot 1.36^x[/tex]
Step-by-step explanation:
The exponential regression equation is given by:
[tex]y =ab^x[/tex]
where, a is the initial value and b be non-negative number.
The attached graph shows the exponential curve that fits the given data.
From the graph, you can see that:
[tex]a \approx 12.11[/tex]
[tex]b = e^{0.3039} \approx 1.36[/tex]
then the equation we get,
[tex]y = 12.11 \cdot 1.36^x[/tex]
Therefore, the exponential regression equation that fits the given data is, [tex]y = 12.11 \cdot 1.36^x[/tex]
