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

question 125

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, $\mathrm { X } _ { 1 } , \mathrm { X } _ { 2 } , \mathrm { X } _ { 3 }$
- $\begin{array} { c c c c c } \mathrm { Y } & \mathrm { X } _ { 1 } & \mathrm { X } _ { 2 } & \mathrm { X } _ { 3 } & \\344 & 45.0 & 67.5 & 1 & \text { CORRELATION COEFFICIENTS } \\416 & 54.0 & 72.0 & 1 & \mathrm { Y } / \mathrm { X } _ { 1 } = 0.951 \\220 & 41.0 & 70.0 & 2 & \mathrm { Y } / \mathrm { X } _ { 2 } = 0.789 \\360 & 49.0 & 68.5 & 1 & \mathrm { Y } / \mathrm { X } _ { 3 } = - 0.616 \\332 & 44.0 & 73.0 & 1 & \\140 & 32.0 & 63.0 & 2 & \mathrm { Y } \\436 & 48.0 & 72.0 & 1 & \mathrm { COEFFICIENTS } \mathrm { OF } \mathrm { DETERMINATION } \\132 & 33.0 & 61.0 & 2 & \mathrm { X } _ { 1 } = 0.905 \\356 & 48.0 & 64.0 & 2 & \mathrm { Y } _ { 1 } , \mathrm { X } _ { 2 } = 0.919 \\150 & 35.0 & 59.0 & 1 & \mathrm { X } _ { 1 } , \mathrm { X } _ { 2 } , \mathrm { X } _ { 3 } = 0.927 \\202 & 40.0 & 63.0 & 2 & \\365 & 50.0 & 70.5 & 1 &\end{array}$

• A) \(\hat { \mathrm { Y } } = - 442 + 12.1 \mathrm { X } _ { 1 } + 3.58 \mathrm { X } _ { 2 } - 23.8 \mathrm { X } _ { 3 }\)
• B) \(\hat { \mathrm { Y } } = - 543 + 12.8 \mathrm { X } _ { 1 } + 4.15 \mathrm { X } _ { 2 }\)
• C) \(\hat { \mathrm { Y } } = - 412 + 13.6 \mathrm { X } _ { 1 } + 3.15 \mathrm { X } _ { 2 }\)
• D) \(\hat { \mathrm { Y } } = - 355 + 14.9 \mathrm { X } _ { 1 }\)

---

Definitions:

Utilitarian Benefits

Utilitarian benefits refer to the functional or practical advantages that consumers receive from using a product or service, emphasizing usability and efficiency.

General Ethical Principle

Foundational guidelines that govern behaviors and decisions based on notions of right and wrong.

Greater Good

The concept that certain actions or policies are justified or desirable because they benefit the majority or advance a noble cause, even if they might not benefit everyone.

Ethics Training

Educational programs or workshops designed to teach individuals about moral principles and proper conduct within a specific context.