What Is the Least Squares Error E for the Points $y = A x + B ?$

question 44

Multiple Choice

What is the least squares error E for the points (1, -3) , (-2, 5) , and (0, 10) and the line $y = A x + B ?$

• A) E = \(( A - 3 B ) ^ { 2 }\) + (-2A + 5B \()^2\) + (10B \()^2\)
• B) E = \(( A + B - 3 ) ^ { 2 }\) + (-2A + B - 5)2 + (B - 10 \()^2\)
• C) E = \(( A - 3 B + 3 ) ^ { 2 }\) + (-2A + 5B - 5)2 + (10B - 10 \()^2\)
• D) E = \(( A + B + 3 ) ^ { 2 }\) + (-2A + B - 5)2 + (B - 10 \()^2\)

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Definitions:

Synaptic Vesicles

Small sacs within a presynaptic neuron that store neurotransmitters, which are released into the synaptic cleft to transmit signals to a postsynaptic cell.

Receptor Sites

Specific locations on the surface of a cell or within a cell where molecules, such as neurotransmitters or hormones, can bind to initiate a cellular response.

Potassium Ions

Positively charged ions (K+) that are vital for various physiological processes, including nerve signal transmission and muscle contraction.

Myelin Sheaths

Insulating layers of fatty material that surround the axons of many neurons, enhancing the speed at which electrical impulses are conducted.