MATH221 December 2009
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Find the least square fit of a parabola to the data
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First we can build a sub-Vandermonde matrix, even though we know that this matrix probably won’t fit all the points Since we have 4 points and we want a parabola, the dimension of the sub-Vandermonde matrix would be 4 x 3
Since we want to find the least square, we would like to solve the equation
The system then becomes
Solve the equation to get
So the parabola is
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MER CH flag, MER RQ flag, MER RS flag, MER RT flag, MER Tag Least squares