Question: HOMEWORK 7 Problem 1 Given the provided dataset HW7_data.csvProblem 2 Consider the general non-linear model with o known; yi = m(0, xi) toci. The 0

HOMEWORK 7 Problem 1 Given the provided dataset \"HW7_data.csv\Problem 2 Consider the general non-linear model with o known; yi = m(0, xi) toci. The 0 minimizes ( 0 ) = = [ (yi - m ( Q, ;)?, i=1 and write do to be the true value. (1) (5 pts) Find El'(0o) and El"(60), leaving your answers in terms of the unknown do. (2) (5 pts) Prove that o2 El"(00) = Var l'(00). (3) (10 pts) Using the approximation I'(00) ~ I' (0) + (00 - 0) 1" (0 ), which is a first order Taylor expansion, show why we can write 0 ~ 00 - l' (60) C where C = 1"(0) and is taken to be fixed. (4) (10 pts) Now using the results in part (1) to (3), what would a normal approximation of 0 be ? (5) (10 pts) Hence, construct an approximate (1 - a) % confidence interval for do

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