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

question 130

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, $\mathrm { X } _ { 1 } , \mathrm { X } _ { 2 } , \mathrm { X } _ { 3 }$
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• A) \(\hat { \mathrm { Y } } = - 21.1 + 0.36 \mathrm { X } _ { 1 } + 2.62 \mathrm { X } _ { 2 } + 27.6 \mathrm { X } _ { 3 }\)
• B) \(\hat { \mathrm { Y } } = 308.6 + 29.9 X _ { 3 }\)
• C) \(\hat { \mathrm { Y } } = 201.7 + 0.40 \mathrm { X } _ { 1 } + 22.3 \mathrm { X } _ { 3 }\)
• D) \(\hat { \mathrm { Y } } = 57.8 + 0.036 \mathrm { X } _ { 1 } + 28.1 \mathrm { X } _ { 3 }\)

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Definitions:

Random Assignment

An experimental technique for assigning individuals to different groups in a study using randomization, ensuring that each participant has an equal chance of being assigned to any group.

Placebo

A safe medication or treatment recommended primarily for its mental comfort to the patient rather than its physical health benefits.

Confounding Variable

An outside influence that changes the effect of a dependent and independent variable, potentially leading to a false association.

Random Assignment

The process of distributing participants or items in an experiment into different groups using randomization, to reduce bias and ensure statistical validity.