Question

What is the equation of exponential regression equation? Round all numbers you your answer to three decimal places

Answer 1

Given:

Consider the below figure attached with this question.

The value in the given figure are:

`a=0.2094539899`

`b=2.507467975`

`r^2=0.9435996398`

`r=0.9713905701`

To find:

The exponential regression equation for the given values (Rounded to three decimal places).

Solution:

The general form of exponential regression equation is:

`y=a\cdot b^x` ...(i)

Where, a is the initial value and b is the growth/decay factor.

The given values are:

`a=0.2094539899`

`b=2.507467975`

Round these numbers to three decimal places.

`a\approx 0.209`

`b\approx 2.507`

Putting
`a=0.209, b=2.507` in (i) to find the exponential regression equation.

`\hat{y}=0.209\cdot 2.507^x`

Hence, the correct option is C.