5. 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...

Extracted text: 5. 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 = aeba 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 In(y) = c1 + c2x that best fits the given data, then expo- nentiate both sides.)