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

Respuesta :

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

Answer:

[tex]y=323.905 \cdot 0.875^x[/tex]

Step-by-step explanation:

Given :

x                    y

14                   45

16                   45

18                   33

20                   26

20                   16

25                   14

26                   9

Solution:

General form of equation : [tex]y=AB^x[/tex]

Using the exponential regression calculator we get the output

A = 323.905

B = 0.875469

Substituting the values in the general form

[tex]y=323.905 \cdot 0.875^x[/tex]

Hence Option C is correct.