How do I store these values into my matrix?

Hello, I am doing an assignment that requires me to create a for loop that iterates through and stores the resulting two values of b0 and b1 into an empty matrix I created. The values I am storing in the matrix follow a formula of ET = b0 (x) ^b1 and I need to subtract this formula from preexisting data points on a graph, square them, sum the values and finally store that sum value in my matrix in hopes of finding the smallest sum. This is my current code. Any help on how I can achieve my goal?

Answer 1

[Eshan Patel]

Hey Quincy,

I understand that you would like to store the "residualSum" values for combinations of "b0" and "b1" in a matrix and then determine the minimum value for "residualSum". For this purpose, you could use the following loop:

requiredMatrix = zeros(900, 3);
k = 1;

for i = 1:30
    temp_b1 = b1;
    for j = 1:30
        ET = b0*(x).^(temp_b1);
        residualData = (y - ET).^2;
        residualSum = sum(residualData);
        
        requiredMatrix(k, 1) = b0;
        requiredMatrix(k, 2) = temp_b1;
        requiredMatrix(k, 3) = residualSum;
        
        temp_b1 = temp_b1 - 0.1;
        k = k+1;
    end
    b0 = b0+0.1;
end

This will get you a matrix with 3 columns, storing the values for "b0", "b1" and "residualSum" respectively.