Use Computer Software to Find the Best Multiple Regression Equation $X _ { 1 } , X _ { 2 } , X _ { 3 }$

question 16

Multiple Choice

Use computer software to find the best multiple regression equation to explain the variation in the dependent variable, Y , in terms of the independent variables, $X _ { 1 } , X _ { 2 } , X _ { 3 }$
$\begin{array} { c c c c c } Y & X _ { 1 } & X _ { 2 } & \\15 & 1.2 & 16 & \\15 & 1.2 & 16 & \text { CORRELATION COEFFICIENT } \\17 & 1.0 & 16 & Y / X _ { 1 } = 0.886 \\6 & 0.8 & 9 & Y / X _ { 2 } = 0.965 \\1 & 0.1 & 1 & \\8 & 0.8 & 8 & \\10 & 0.8 & 10 & \text { COEFFICIENTS OF DETERMINATION } \\17 & 1.0 & 16 & \\15 & 1.2 & 15 & \\11 & 0.7 & 9 & \\18 & 1.4 & 18 & \\16 & 1.0 & 15 & X _ { 2 } = 0.932 \\10 & 0.8 & 9 & X _ { 1 } = 0.943 \\7 & 0.5 & 5 & \\18 & 1.1 & 16 &\end{array}$

• A) \(\hat { Y } = 0.42 + 0.99 X _ { 2 }\)
• B) \(\hat { Y } = 1.38 - 5.53 X _ { 1 } + 1.33 X _ { 2 }\)
• C) \(\hat { Y } = 1.25 - 1.55 X _ { 1 } + 5.79 X _ { 2 }\)
• D) \(\hat { Y } = - 0.49 + 14.07 X _ { 1 }\)

Choose appropriate sociological research methods based on the research topic and context, and evaluate the strengths and weaknesses of various methods.

Analyze the ethical considerations in social research studies, with a focus on historical cases.

Explain the concepts of validity and reliability in research, and understand their interrelation.

Understand the basic units of data measurement and their significance.

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Definitions:

Depression

A mood disorder causing a persistent feeling of sadness and loss of interest, affecting an individual's thoughts, behavior, feelings, and sense of well-being.

Stress Hormones

Chemical substances released into the body in response to perceived threats, playing a key role in the fight or flight response, such as cortisol and adrenaline.

Oxytocin

A hormone and neurotransmitter involved in childbirth and lactation, also known to play a role in bonding, social behaviors, and stress relief.

Epigenetic Marks

Chemical modifications to DNA or histones that can affect gene activity without changing the DNA sequence, often as a result of environmental factors.