Answer:
The correct option is D.
Step-by-step explanation:
The general exponential regression equations is
[tex]y=ab^x[/tex] .... (1)
where, a is initial value and b is growth factor.
Using graph calculator, we get
[tex]a=3.5349151766\approx 3.53[/tex]
[tex]b=4.37391527533\approx 4.37[/tex]
[tex]R^2=0.99878148[/tex]
Put the value of a and b in equation (1), to find the exponential regression equation.
Substitute a=3.53 and b=4.37 in equation (1).
[tex]y=(3.53)(4.37)^x[/tex]
[tex]y=3.53(4.37)^x[/tex]
The exponential regression equations that best fits the data is [tex]y=3.53(4.37)^x[/tex].
Therefore the correct option is D.
