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Write the Following Three Linear Equations in Matrix Format Ax

question 11

Essay

Write the following three linear equations in matrix format Ax = b, where x is a 3×1 vector containing q, p, and y, A is a 3×3 matrix of coefficients, and b is a 3×1 vector of constants.
q = 5 +3 p - 2 y
q = 10 - p + 10 y
p = 6 y


Definitions:

Estimated Value

An approximation of a quantity based on available information or statistical methods.

Observations

Individual data points or items recorded during an experiment or survey.

Least Squares Regression Line

A statistical method used to find a straight line that best fits a set of data points by minimizing the sum of the squares of the vertical distances of the points from the line.

Income

The amount of money received by a person or organization, often from employment, investments, or business ventures.

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