Question

3. (25 pts) Consider the data points: t y 0 1.20 1 1.16 2 2.34 3 6.08 ake a least squares fitting of these data using the model yü)- Be + Be-. Suppose we want to m (a) Explain how you would compute the parameters β | 1 . Namely, if β is the least squares solution of the system Χβ y, what are the matrix X and the right-hand side vector y? what quantity does such β minimize? (b) Describe an eficient algorithm to compute the QR factorization of the matrix X (you can use a You do not need to find B nor compute the QR factorization of X nor write formulas for the transformations you use.

Answer 1

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