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.)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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I need help with part b alone. Thank you!
Transcribed Image 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.)
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