SITUATION 3 Consider the following set of data points (x, y): 1.0 2.0 3.0 4.0 5.0 5.0 6.5 2.0 3b) Suppose that a cubic equation that relates x and y is to be derived using least-squares method, given by y = A+ Bz + Cr + Dz Determine the normal equations that would determine the constants A. B. C. and D. Type your final answers in the provided text box below. 3c) Using the derived equations from (3b), determine the best-fit cubic equation that would describe the given data set and determine y at x - 3.5. Type your final answers in the provided text box below.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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please answer 3b and 3c because they are connected

SITUATION 3
Consider the following set of data points (x, y):
1.0
2.0
3.0
4.0
5.0
5.0
6.5
2.0
3b) Suppose that a cubic equation that relates x and y is to be derived using least-squares method, given by
y = A+ Br + Ca? + Dr
Determine the normal equations that would determine the constants A. B. C. and D. Type your final answers in
the provided text box below.
3c) Using the derived equations from (3b), determine the best-fit cubic equation that would describe the given
data set and determine y at x = 3.5. Type your final answers in the provided text box below.
Transcribed Image Text:SITUATION 3 Consider the following set of data points (x, y): 1.0 2.0 3.0 4.0 5.0 5.0 6.5 2.0 3b) Suppose that a cubic equation that relates x and y is to be derived using least-squares method, given by y = A+ Br + Ca? + Dr Determine the normal equations that would determine the constants A. B. C. and D. Type your final answers in the provided text box below. 3c) Using the derived equations from (3b), determine the best-fit cubic equation that would describe the given data set and determine y at x = 3.5. Type your final answers in the provided text box below.
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