Problem 2. Consider the curve y=C+D2', for which we would like to find the best least squares fit to the points (r,y) = (0,6), (1,4),(2,0). (a) What are the 3 equations that would be satisfied if the curve went through all 3 points? (b) Find the coefficients C and D of the best curve y=C+D2¹. (c) What values should y have at times t=0,1,2 so that the best curve is y=0?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Problem 2. Consider the curve y=C+D2', for which we would like to find the best least squares
fit to the points (1,y) = (0,6), (1,4), (2,0).
(a) What are the 3 equations that would be satisfied if the curve went through all 3 points?
(b) Find the coefficients C and D of the best curve y=C+D2¹.
(c) What values should y have at times t=0,1,2 so that the best curve is y=0?
Transcribed Image Text:Problem 2. Consider the curve y=C+D2', for which we would like to find the best least squares fit to the points (1,y) = (0,6), (1,4), (2,0). (a) What are the 3 equations that would be satisfied if the curve went through all 3 points? (b) Find the coefficients C and D of the best curve y=C+D2¹. (c) What values should y have at times t=0,1,2 so that the best curve is y=0?
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