Question

i  just need tge final answer for each one please

Information for Questions 8-10 Consider a single iteration of the 2-D Newton's method to locate the stationary point of f(x,y) = x* + 2x²y2 + y around (B,0). 8. Find the true error on the gradient(&): 9. Find the determinant of the Hessian matrix evaluated at the initial point: |H| 10. Find the x coordinate of the updated point (xi): Information for Questions 11-12 The table below lists a set of observations (X1, X2, y) and the multiple linear regression estimates yr(x1,x2). y.(x1,x2) 77 128 11. Find the standard error of the estimate (sy/t). 12. Find the coefficient of determination (r?).

Answer 1

Answer: - Given that, - consider locate I to (8) a single iteration of the 2-D Newton's method stationary point of f (x,y) = x² + 2xy + y" around (B,0) around (1610) Ifs (4x² + 4xy 2SCM0,0) = fucccdt4(1.b)(o) 461-6) (0) + 4(0)3 - 16-384) Lo H7 All (801go) : - Tive error = 16.384. (9) a= [tax" theyh 8xy ? L8ng uz tlay? Bruno (12C1•6+46(0) 8616)(0) 7 1.8.1.6)(0) 41163*7826052 . 30.72 01 lo 10:24 10.24 Determinant - 30.77X10.26 = 314-5728

(w) (wide) > (x0.4o) – (579)"pf (nor yo) = (1-6,0) – (50172 0 ] [ 16.384] .00 = (16, o) - ( 0.533370 = (loocor) (7, .) = (1.06667 , o)