A) Find an exponential model of the data using an exponential regression where l

Question

A) Find an exponential model of the data using an exponential regression where length is a function of age (round all values to the nearest hundredths place) Age (years)4 8 11.5 14 15 Length (inches)18 24 283032 (a) = Preview B) Calculate the instantancous rate of change of the length of the blue fish at the age of 4 years using your rounded model from part A (round your answer to the nearest hundredth place) License Points possible: 1 Unlimited attempts. Message instructor about this question C

Explanation / Answer

Go to xuru.org ---> regression tools ---> Exponential regression

And enter points thus :
(4,18)
(8,24)
(11.5,28)
(14,30)
(15,32)

And hit "Calculate"

We get :
15.55 * e^(0.05a)

Rather...

15.55(1.05)^a ---> ANS

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b)

Deriving :
L'(a) = 15.55 * 1.05^a * ln(1.05)

Now, plug in a = 4 :

15.55 * (1.05^4) * ln(1.05)

0.92 inches per yr----> ANS

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