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Use Computer Software to Find the Best Regression Equation to Explain

question 31

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Use computer software to find the best regression equation to explain the variation in the dependent variable, Y, in terms of the independent variables, X1, X2, X3
- YX1X2X334445.067.51 CORRELATION COEFFICIENTS 41654.072.01Y/X1=.95122041.070.02Y/X2=.78936049.068.51Y/X3=.61633244.073.0114032.063.0243648.072.01 COEFFICIENTS OF DETERMINATION 13233.061.0235648.064.02Y1/X1=.90515035.059.01X1,X2=.91920240.063.02Y1,X2,X3=.92736550.070.51\begin{array} { c c c l c } \mathrm { Y } & \mathrm { X } _ { 1 } & \mathrm { X } _ { 2 } & \mathrm { X } _ { 3 } & \\ 344 & 45.0 & 67.5 & 1 & \text { CORRELATION COEFFICIENTS } \\ 416 & 54.0 & 72.0 & 1 & \mathrm { Y } / \mathrm { X } _ { 1 } = .951 \\ 220 & 41.0 & 70.0 & 2 & \mathrm { Y } / \mathrm { X } _ { 2 } = .789 \\ 360 & 49.0 & 68.5 & 1 & \mathrm { Y } / \mathrm { X } _ { 3 } = - .616 \\ 332 & 44.0 & 73.0 & 1 & \\ 140 & 32.0 & 63.0 & 2 & \\ 436 & 48.0 & 72.0 & 1 & \text { COEFFICIENTS OF DETERMINATION } \\ 132 & 33.0 & 61.0 & 2 & \\ 356 & 48.0 & 64.0 & 2 & \mathrm { Y } _ { 1 } / \mathrm { X } _ { 1 } = .905 \\ 150 & 35.0 & 59.0 & 1 & \mathrm { X } _ { 1 } , \mathrm { X } _ { 2 } = .919 \\ 202 & 40.0 & 63.0 & 2 & \mathrm { Y } _ { 1 } , \mathrm { X } _ { 2 } , \mathrm { X } _ { 3 } = .927 \\ 365 & 50.0 & 70.5 & 1 & \end{array}

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Definitions:

Product M

Refers to a specific good or service offered by a company, designated as "M" for differentiation.

Controllable Costs

Expenses that a manager or business unit has the authority to influence or change, such as materials or labor.

Organizational Structure

The system of rules, roles, and responsibilities within an organization that outlines how activities are directed in order to achieve the organization's goals.

Payroll Clerk

A payroll clerk is a professional responsible for preparing and managing an organization's employee compensation, deductions, and records.

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