Question

Which of the following exponential regression equations best fits the data shown below?

Answer 1

What is the data shown below?

Answer 2

Answer:

The correct option is D.

Step-by-step explanation:

The general exponential regression equations is

$y=ab^x$                      .... (1)

where, a is initial value and b is growth factor.

Using graph calculator, we get

$a=3.5349151766\approx 3.53$

$b=4.37391527533\approx 4.37$

$R^2=0.99878148$

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).

$y=(3.53)(4.37)^x$

$y=3.53(4.37)^x$

The exponential regression equations that best fits the data is $y=3.53(4.37)^x$.

Therefore the correct option is D.