Question

What is the exponential regression equation for the data set?

x y
14 45
16 45
18 33
20 26
20 16
25 14
26 9


a. yˆ=323.905⋅1.875x

b. yˆ=(323.905⋅0.875)x

c. yˆ=323.905⋅0.875x

d. yˆ=0.875⋅323.905x

Answer 1

y^=323.905•0.875x because it is the correct answer

Answer 2

`y=323.905 \cdot 0.875^x`

Explanation:

Given :

x y

14 45

16 45

18 33

20 26

20 16

25 14

26 9

Solution:

General form of equation :
`y=AB^x`

Using the exponential regression calculator we get the output

A = 323.905

B = 0.875469

Substituting the values in the general form

`y=323.905 \cdot 0.875^x`

Hence Option C is correct.