The Slope and Y -Intercept of the Line $y = m x + b$

question 25

Multiple Choice

The slope and y -intercept of the line $y = m x + b$ that best fits the three noncollinear points $( 2,2 ) , ( 3,3 )$ and $( 5,4 )$ are given by the solution of the following system of linear equations. $\left\{ \begin{array} { c } 77 m + 12 b = 46 \\12 m + 5 b = 8\end{array} \right.$ Solve the system and find the equation of the best-fitting line. Round parameters to the nearest thousandth.

• A) \(y = 0.415 x + 1.188\)
• B) \(y = 0.412 x - 1.188\)
• C) \(y = 0.417 x + 1.188\)
• D) \(y = 0.556 x + 0.266\)
• E) \(y = 0.42 x + 1.188\)

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Definitions:

Psychodynamic Perspective

A theoretical approach in psychology that emphasizes unconscious processes and childhood experiences in shaping behavior and personalities.

Biopsychosocial Approach

The biopsychosocial approach is a broad view that attributes disease outcome to the intricate, variable interaction of biological factors (genetic, biochemical, etc.), psychological factors (mood, personality, behavior, etc.), and social factors (cultural, familial, socioeconomic, medical, etc.).

Introspection

The examination or observation of one's own mental and emotional processes, reflecting on one's thoughts and feelings.

Empirical Approach

A method of acquiring knowledge based on observation and experimentation rather than theory or pure logic.