Question

What is the exponential regression equation that fits these data

Answer 1

Answer:

Correct choice is B.

Step-by-step explanation:

Plot the data from the given table on the coordinate plane.

Note that option C and D represent the quadratic and linear regressions (not exponential), thus, these options are false.

Plot both graphs from options A and B. The exponential regression from option A is shown by red curve (see attached diagram) and the the exponential regression from option B is shown by blue curve. As you can see the green points better suit blue curve, thus, option B is correct.

Remark:

Note that

$\dfrac{570}{240}, \dfrac{240}{85}, \dfrac{85}{27}, \dfrac{27}{8}, \dfrac{8}{3}$ are greater than 1.03, then option A is false.

Answer 2

C and D are not exponential functions, so eliminate C and D.
Between A and B, B is the better fit.