Question

Which of the following exponential regression equations best fits the datashown below?X-4-3-2-11234.у0.010.040.160.75516652761251A. y = 3.53. 4.37*Ο Ο ΟB. y = 6.37.5.02%C. y = 7.13.6.09%O D. y= 2.08 2.611SUBMIT

Answer 1

SOLUTION

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Plot the table

STEP 2: Write the standard form of exponential function

$y=ab^x$

STEP 3: Determine the a and b of the exponential regression

The derived exponential regression function becomes:

$y=3.04697(4.50119)^x$

The equation that is close to this best fits the data given.

Hence, the equation that best fits will be:

$y=3.53\cdot(4.37)^x$

OPTION A