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.