Question

11.Use the exponential regression equation that best fits the data

(
10
,
4
)
10,4
,
(
12
,
20
)
12,20
,
(
13
,
35
)
13,35
, and
(
16
,
300
)
16,300
to estimate the value of y when x = 14.

A.
48.4

B.
73.5

C.
132.3

D.
223.7

Answer 1

73.5 ....................

Answer 2

B. 73.5

Explanation:

Using Excel (you can use similar software or a scientific calculator) we get the figure attached. After adding the trend line, we get that the equation that best fits the data is:

y = 0.0034*e^(0.7129*x)

Replacing with x = 14 we get:

y = 0.0034*e^(0.7129*14)

y = 73.5