Grace and colleagues studied the population history of termite colonies. They noted an initial 10-year increase in the population, followed by a 15-year decline in population. In the paper cited they found a curious relationship between the average weight of individual foraging workers and the population of the colony during the 15-year decline in population. Their data is given in the following table. X7 32 45 120 y 50 62 73 79 A. Use power regression to find the best-fitting function to the data and the square of the correlation coefficient. y(x) = 2 = B. Find the derivative of y(x). y'(x) =
Grace and colleagues studied the population history of termite colonies. They noted an initial 10-year increase in the population, followed by a 15-year decline in population. In the paper cited they found a curious relationship between the average weight of individual foraging workers and the population of the colony during the 15-year decline in population. Their data is given in the following table. X7 32 45 120 y 50 62 73 79 A. Use power regression to find the best-fitting function to the data and the square of the correlation coefficient. y(x) = 2 = B. Find the derivative of y(x). y'(x) =
Chapter3: Polynomial Functions
Section: Chapter Questions
Problem 18T
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Transcribed Image Text:Grace and colleagues studied the population history of termite colonies. They noted an initial 10-year increase in the population, followed by a 15-year decline in population. In the paper cited they found a
curious relationship between the average weight of individual foraging workers and the population of the colony during the 15-year decline in population. Their data is given in the following table.
x 7 32 45 120
y 50 62 73 79
A. Use power regression to find the best-fitting function to the data and the square of the correlation coefficient.
y(x) =
²
=
B. Find the derivative of y(x).
y'(x) =
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