A biologist conducted a six-month field study of a small plot of land. The following table shows the population of a species of meadow mouse during that time Month, x Population, f(x) 0                6 1                7 2              10 3              17 4             26 5             33 6            37   Use the regression commands on a graphing utility to find the exponential function of best fit for the mouse population over the six months. Write your answer in the form f(x)=a(b)^x and round a and b to three decimal places, if necessary. (Note that using different graphing utilities may yield different results.)

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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A biologist conducted a six-month field study of a small plot of land. The following table shows the population of a species of meadow mouse during that time

Month, x Population, f(x)
0                6
1                7
2              10
3              17
4             26
5             33
6            37
 
Use the regression commands on a graphing utility to find the exponential function of best fit for the mouse population over the six months. Write your answer in the form f(x)=a(b)^x and round a and b to three decimal places, if necessary. (Note that using different graphing utilities may yield different results.)
 
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