Consider the data points (1, – 1), (2, 2), (3,4), (4,6). (In this problem, feel free to use a calculator to help with multiplying matrices.) (a) Find a quadratic polynomial y = a + bx + cx² that best fits the given data. (b) Find an exponential function y = aeb¤ that best fits the given data. (Hint: This is similar to the Cobb-Douglas production function problem in class. First find a function of the form ln(y) = c1 + c2x that best fits the given data, then expo- nentiate both sides.)
Consider the data points (1, – 1), (2, 2), (3,4), (4,6). (In this problem, feel free to use a calculator to help with multiplying matrices.) (a) Find a quadratic polynomial y = a + bx + cx² that best fits the given data. (b) Find an exponential function y = aeb¤ that best fits the given data. (Hint: This is similar to the Cobb-Douglas production function problem in class. First find a function of the form ln(y) = c1 + c2x that best fits the given data, then expo- nentiate both sides.)
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.2: Determinants
Problem 17AEXP
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