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Problem 2 Consider the general non-linear model; yi = m(0, xi) toci and 0 minimizes n 1 (0 ) = , E(yi - m(0, xi))?.

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Problem 2 Consider the general non-linear model; yi = m(0, xi) toci and 0 minimizes n 1 (0 ) = , E(yi - m(0, xi))?. i=1 (1) (5 pts) Find l'(0). (2) (5 pts) Find El'(0) (3) (10 pts) Using the approximation 1'(0 ) ~ I'(0 ) + ( 0 - 0) 1" (0 ), which is a first order Taylor expansion, show how we can write 0 - 0 2 - I'(0) 1" (0 ) (4) (5 pts) What is the mean of the approximate normal distribution for A? (5) (15 pts) What is the variance of the approximate normal distribution for 0

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