A graphing calculator is recommended The table shows the number N of species of

Question

A graphing calculator is recommended The table shows the number N of species of reptiles and amphibians inhabiting Caribbean islands and the area A of the island in square miles. Island Saba Monserrat Puerto Rico 3,459 40 amaica Hispanola 29,418 84 Cuba AIN 4,411 39 44,218 76 (a) Use a power function to model N as a function of A. (Round your values to four decimal places.) N-3.1046 . X0.3080 | X (b) A certain Caribbean island has area 295 mi2. How many species of reptiles and amphibians would you expect to find on the island? (Round your answer to the nearest whole number.) species Need Help? Talk to a Tutor

Explanation / Answer

This is the problem of power function regression

we use graphing calculator to find the equation

y=Ax^B

we get A=3.1046

B=0.3080

so equation would be

N=3.1046(A)^0.3080

b)

here A=295

so, N= 3.1046 (295)^0.3080

               =18

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