Find the Formula That Gives the Least Squares Error for the Points

question 13

Multiple Choice

Find the formula that gives the least squares error for the points (-2, -3) , (1, -1) , (3, 4) .

• A) \(( - 2 \mathrm {~A} + \mathrm { B } + 3 ) ^ { 2 }\) + \(( A + B + 1 ) ^ { 2 }\) + \(( 3 A + B - 4 ) ^ { 2 }\)
• B) \(( - 2 A + B + 1 ) ^ { 2 }\) + \(( A + B + 3 ) ^ { 2 }\) + \(( 3 A + B - 4 ) ^ { 2 }\)
• C) \(( - 2 \mathrm {~A} + \mathrm { B } + 3 ) ^ { 2 }\) + \(( A + B + 1 ) ^ { 2 }\) + \(( A + B - 4 ) ^ { 2 }\)
• D) \(( - A + B + 3 ) ^ { 2 }\) + \(( A + B + 1 ) ^ { 2 }\) + \(( A + B - 4 ) ^ { 2 }\)

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Definitions:

Passive Immunity

Temporary immunity that depends on the presence of immunoglobulins produced by another organism. Compare with active immunity.

B Cells

A type of white blood cell that plays a crucial role in the body's immune response by producing antibodies.

Antibodies

Proteins generated by the immune system that specifically bind to foreign substances, such as bacteria and viruses, to help in their neutralization or destruction.

Self-Antigens

Molecules produced by the body that are recognized by the immune system as part of the self, preventing an immune response against them.