Question:
Assume that you want to approximate a function f(x, y, z)=x²
Last updated: 8/14/2022
![Assume that you want to approximate a function f(x, y, z)=x²](https://media.kunduz.com/media/sug-question/raw/77518384-1660482074.080692.jpeg?h=512)
Assume that you want to approximate a function f(x, y, z)=x² + y² +2² by a line function ((x, y, z)= a₁x+ay+at+e such that f(x, y, z)=(x, y. 2) at four points (1,0,0), (1, 1.0), (0, 1, 1), a (1,0,1). Here, means that f(x, y, z) is almost equal to f(x, y, z). Your goal is to find the coefficients a₁.a. and c. Model this problem into an optimization problem of the form that minimizes the sum of squar errors between f and at these four points. Solve the resulting optimization problem.