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Problem 2. You are conducting research on the Dall sheep, also called the thinhorn sheep, of Denali National Park in Alaska. For your research, you need to estimate the survival rate for a Dall sheep that is 6 years old, correct to at least three decimal places. However, after conducting a literature search, you are only able to ascertain that the survival rate for a Dall sheep that is 2 years old is 0.812, the survival rate for a Dall sheep that is 4 years old is 0.763, the survival rate for a Dall sheep that is 7 years old is 0.679, and the survival rate for a Dall sheep that is 9 years old is 0.571. (a) Find the polynomial interpolant that corresponds to these four data points, (2, 0.812), (4, 0.763), (7, 0.679), (9, 0.571). Compute the coefficients accurately to at least four decimal places. (b) Use your model to estimate the survival rate for a Dall sheep that is 6 years old. Round your answer to the nearest thousandth

Answer 1

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Herei dont round coefficient for 4 decimal i put them as it is at least 8 decimal places because to avoid the error