Use Computer Software to Find the Best Multiple Regression Equation $Y$

question 9

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, $X _ { 1 } , X _ { 2 } , X _ { 3 }$ .
$\begin{array}{l}\begin{array}{lll}Y & X_{1} & X_{2} \\15 & 1.2 & 16 \\15 & 1.2 & 16 \\17 & 1.0 & 16 \\6 & 0.8 & 9 \\1 & 0.1 & 1 \\8 & 0.8 & 8 \\10 & 0.8 & 10 \\17 & 1.0 & 16 \\15 & 1.2 & 15 \\11 & 0.7 & 9 \\18 & 1.4 & 18 \\16 & 1.0 & 15 \\10 & 0.8 & 9 \\7 & 0.5 & 5 \\18 & 1.1 & 16\end{array}\begin{array}{c}\text { CORRELATION COEFFICIENT }\\\\Y / X_{1}=0.886\\Y / X_{2}=0.965\\\\\\\text { COEFFICIENTS OF DETERMINATION }\\\\Y / X_{2}=0.932\\Y / X_{2}, X_{1}=0.943\\\end{array}\end{array}$

• 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) \(\hat { Y } = - 0.49 + 14.07 X _ { 1 }\)

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Definitions:

Multi-National Companies

Businesses that operate in multiple countries around the world, beyond their home country.

Family-Friendly Benefits

Work policies or practices that support employees in balancing their work responsibilities with family life, such as flexible working hours, parental leave, and childcare support.

Telecommuting

Telecommuting is a work arrangement where employees perform their job duties from a remote location, often their home, using digital communication tools.

Dependent Care

Relates to services or support for individuals who cannot care for themselves, often children or the elderly, provided by someone other than the primary caregiver.