Question

What is the exponential regression equation for the data set?

A. yˆ=99.07⋅1.68x
B. yˆ=99.07⋅0.68x
C. yˆ=0.68⋅99.07x
D. yˆ=(0.68⋅99.07)x

x    y
1    56
3    44
3    41
5    11
4    22
8    3
11    2

Answer 1

The answer was B if anyone was wondering 

Answer 2

Option B -
`y=99.07* 0.68^x`

Explanation:

Given : The data set of the equation.

To find : What is the exponential regression equation for the data set?

Solution :

Data table

x y

1 56

3 44

3 41

5 11

4 22

8 3

11 2

Using regression calculator we get an exponential regression equation for the data set above is
`y=99.07* 0.68^x`

As exponential function is in the form
`y=ab^x`

Where, a is the initial value, a=99.07

and b is the rate factor, b=0.68

Refer the attached figure for the regression calculations.

Therefore, Option B is correct.