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

question 18

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

• 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) \(\hat { Y } = 48.0 + 0.398 X _ { 1 } + 0.228 X _ { 2 }\)

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Definitions:

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