4. This problem is to be done by hand (with a calculator as necessary). The equation of a plane is z - ax + by c Experimental data (x,y,z) can be fitted to a plane using the least-squares method Show the derivation of the system of equations that can be solved to find the plane that fits N experimental data points by minimizing the error. Start from the equation of the global error a. b. Given the experimental data in the following table, determine the equation of the plane that fits the given data using the matrix equations derived in part(a) 0.4 0.7 3.4 4.0 9.3 8.9 3.349 4.870 5.757 8.921 4.1 4.9 5.7 6.3 7.2 8.1 0.031 0.933 Turn in your hardcopy of this problem. 4. This problem is to be done by hand (with a calculator as necessary). The equation of a plane is z - ax + by c Experimental data (x,y,z) can be fitted to a plane using the least-squares method Show the derivation of the system of equations that can be solved to find the plane that fits N experimental data points by minimizing the error. Start from the equation of the global error a. b. Given the experimental data in the following table, determine the equation of the plane that fits the given data using the matrix equations derived in part(a) 0.4 0.7 3.4 4.0 9.3 8.9 3.349 4.870 5.757 8.921 4.1 4.9 5.7 6.3 7.2 8.1 0.031 0.933 Turn in your hardcopy of this