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:

2-Hexanol

A secondary alcohol with the molecular formula C6H14O, characterized by an hydroxyl group attached to the second carbon of a six-carbon linear chain.

M/z Value

The mass-to-charge ratio, a critical parameter in mass spectrometry for identifying the molecular weight and structure of compounds.

Uniform Distribution

A type of probability distribution where all outcomes are equally likely over a certain range of values.

Probability Density

A function that describes the relative likelihood for a random variable to take on a given value, primarily used in continuous probability distributions.