Find the exponential regression equation that best fits the data
(2,7), (3,10), (5,50), and (8,415).

A. y = 2.89 (1.00)^x

B. y = 1.00 (2.89)^x

C. y = 1.47 (2.02)^x

D. y = 2.02 (1.47)^x

Respuesta :

hmm, i think the answer is B, not sure if i am right tho..,

Hello there,

From my point of view, in this kind of question it’s easier and faster to make the replacement.

In the case of function A you have to consider that the base of the power is 1, so doesn’t matter by which value you replace the “x”, “y” will be always 2.89.

So, one less

We are going to try with the first point.

x = 2 and y = 7

Replace de x by 2 in the three cases.

B. y = 8.3521

C. y = 5.998188

D. y = 4.365018

The closer answer to y = 7 is C.

We are going to confirm making the replacement of the x by other point.

We are going to try with the first point.

x = 3 and y = 10

Replace de x by 3 in the three cases.

B. y = 24.137569

C. y = 12.11633976

D. y = 6.41657646

Again, the closer answer to y = 10 is C.

We are going to try with the first point.

x = 5 and y = 50

Replace de x by 3 in the three cases.

B. y = 201.59939

C. y = 49.439512

D. y = 13.86558

Again, the closer answer to y = 50 is C.

Remember that when we are talking about the function that “best fits” means that the points of the function are closest to the points of the data,

Kind regards,

Daniela