I know how to do problem 3, but I need help with problem 4.

-1.65 -21 -1.50 11 -1.25 38 -1 76 iv. 3. A function follows the tabulated data below: -1.80 -40 Fit the data to a 2-d-order polynomial, i.e., y=asta tar and do the following. (Note: Show all the steps of manual calculation). i. Calculate all the necessary quantities to be used for the 2._order polynomial regression, including & EX EX EX Ex Ex% 2 %: (3 points) ii. Put the regression equations into the matrix form. (1 points) Solve the linear equations manually using the Gauss elimination and verify your solution Present your regression coefficients clearly. (Show all the calculation steps, 8 points). Apply the bisection method on the 20t-order polynomial: y = astautar obtained in the previous step. Assume the lower and the upper bound are xi=-1.64 and X.=-1.52, respectively. what will be the value of x and after one iteration using the bisection method? (3 points) 4. Fit the data in Problem (3) to a 3"-order polynomial, i.e., i.e., y=a+axtar+axx' and do the following. (Note: Show all the steps of manual calculation). i. Calculate all the necessary quantities to be used for the 30-order polynomial regression using the given data points (3 points) ii. Put the regression equations into the matrix form. (1 points) Solve the linear equations manually using the LU decomposition and verify your solution. Present your regression coefficients clearly. (Show all the calculation steps, 8 points). Apply the Newton-Raphson method on the 3-d-order polynomial: y=do+axtar+axx obtained in the previous step. Assume the initial guess is x1 = -1.6, what will be the value of x after one iteration using the Newton- Raphson method? (3 points) 111. iv. -1.65 -21 -1.50 11 -1.25 38 -1 76 iv. 3. A function follows the tabulated data below: -1.80 -40 Fit the data to a 2-d-order polynomial, i.e., y=asta tar and do the following. (Note: Show all the steps of manual calculation). i. Calculate all the necessary quantities to be used for the 2._order polynomial regression, including & EX EX EX Ex Ex% 2 %: (3 points) ii. Put the regression equations into the matrix form. (1 points) Solve the linear equations manually using the Gauss elimination and verify your solution Present your regression coefficients clearly. (Show all the calculation steps, 8 points). Apply the bisection method on the 20t-order polynomial: y = astautar obtained in the previous step. Assume the lower and the upper bound are xi=-1.64 and X.=-1.52, respectively. what will be the value of x and after one iteration using the bisection method? (3 points) 4. Fit the data in Problem (3) to a 3"-order polynomial, i.e., i.e., y=a+axtar+axx' and do the following. (Note: Show all the steps of manual calculation). i. Calculate all the necessary quantities to be used for the 30-order polynomial regression using the given data points (3 points) ii. Put the regression equations into the matrix form. (1 points) Solve the linear equations manually using the LU decomposition and verify your solution. Present your regression coefficients clearly. (Show all the calculation steps, 8 points). Apply the Newton-Raphson method on the 3-d-order polynomial: y=do+axtar+axx obtained in the previous step. Assume the initial guess is x1 = -1.6, what will be the value of x after one iteration using the Newton- Raphson method? (3 points) 111. iv