Unformatted text preview: work she has come back to you again for help. She has some specs for another section of her new roller coaster but she wants something a little diﬀerent this time. She would like a parabolic curve ( P ( x ) = a + a 1 x + a 2 x 2 ) that goes through the points: (2 , 2) , (1 , 1) , (0 , 7) , (1 , 1) , (2 , 2). She realizes that this is actually impossible but she would like a parabola that comes reasonably close to it (i.e. a least squares solution). Can you help her out? Your instructor would like to also oﬀer an additional 5 bonus points if you can solve this problem 2 ways, using the normal equations and using QR factorization. 1...
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 Fall '07
 McClain
 Calculus, Addition, Linear least squares, Vandermonde, Addendum David Howard

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