Question

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

Answer 1

what is the data shown below?

Answer 2

The correct option is D.

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.