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

question 6

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, $X _ { 1 } , X _ { 2 } , X _ { 3 }$ . $\begin{array} { c c c c } Y & X _ { 1 } & X _ { 2 } & \\ 98.6 & 87.4 & 108.5 & \\ 101.2 & 97.6 & 110.1 & \\ 102.4 & 96.7 & 110.4 & \text { CORRELATION COEFFICIENTS } \\ 100.9 & 98.2 & 104.3 & \\ 102.3 & 99.8 & 107.2 & \text { Y/ } X _ { 1 } = 0.850 \\ 101.5 & 100.5 & 105.8 & \text { YI } X _ { 2 } = 0.742 \\ 101.6 & 103.2 & 107.8 & \\ 101.6 & 107.8 & 103.4 & \\ 99.8 & 96.6 & 102.7 & \text { COEFFICIENT OF DETERMINATION } \\ 100.3 & 88.9 & 104.1 & \text { Y/ } X _ { 1 } = 0.723 \\ 97.6 & 75.1 & 99.2 & \text { Y/ } X _ { 2 } = 0.550 \\ 97.2 & 76.9 & 99.7 & \text { Yl } X _ { 1 } , X _ { 2 } = 0.867 \\ 97.3 & 84.6 & 102.0 & \\ 96.0 & 90.6 & 94.3 & \\ 99.2 & 103.1 & 97.7 & \\ 100.3 & 105.1 & 101.1 & \\ 100.3 & 96.4 & 102.3 & \\ 104.1 & 104.4 & 104.4 & \\ 105.3 & 110.7 & 108.5 & \\ 107.6 & 127.1 & 111.3 & \end{array}$

• A) \(\hat { Y } = 57.6 + 0.153 X _ { 1 } + 0.270 X _ { 2 }\)
• B) \(\hat { Y } = 58.9 + 0.612 X _ { 1 }\)
• C) \(\hat { Y } = 52.6 + 0.462 X _ { 2 }\)
• D) \(\hat { Y } = 48.0 + 0.398 X _ { 1 } + 0.228 X _ { 2 }\)

---

Definitions:

Voluntarily Hospitalized

The act of checking oneself into a healthcare facility for treatment by choice, without compulsion from others or legal mandates.

Health Care Provider

A professional or organization that offers services aimed at maintaining or improving health, diagnosing, and treating disease.

Right To Confidentiality

The ethical and legal duty of healthcare providers to protect patient information from unauthorized disclosure.

Violating

The act of breaking a rule, agreement, or boundary, often leading to conflict or harm.