Question

Which of the following exponential regression equation best fits the data shown below. Please help ASAP. ☺️

Answer 1

Option D [
`y=6.61\,*\,1.55^x`] in the list of possible answers

Explanation:

For this problem you are supposed to use a calculator that allows you to do an exponential regression. There are many tools that can help you with that, depending on what your instructors has assigned for your class.

I am showing you the results of a graphing tool I use, and which after entering the x-values and the y-values in independent "List" forms, when I request the exponential regression to fit the data, I get what you can see in the attached image.

Notice that the exponential of best fit with my calculator comes in the form:

`y=A\,e^(k\, x)`

with optimized parameters:

`A \approx 6.6114\,\,\,and\,\,\, k=0.4378321`

Notice as well that since:

`e^(0.4378321) \approx 1.5490`

the exponential best fit can also be written:

`y=6.611403\,\,*\,e^(0.4378321\, x)=6.611403\,*\,1.549^(\,x)`

and this expression is very close to the last option shown in your list of possible answers