Use Computer Software to Find the Best Regression Equation to Explain

question 31

Multiple Choice

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
- $\begin{array} { c c c l c } \mathrm { Y } & \mathrm { X } _ { 1 } & \mathrm { X } _ { 2 } & \mathrm { X } _ { 3 } & \\ 344 & 45.0 & 67.5 & 1 & \text { CORRELATION COEFFICIENTS } \\ 416 & 54.0 & 72.0 & 1 & \mathrm { Y } / \mathrm { X } _ { 1 } = .951 \\ 220 & 41.0 & 70.0 & 2 & \mathrm { Y } / \mathrm { X } _ { 2 } = .789 \\ 360 & 49.0 & 68.5 & 1 & \mathrm { Y } / \mathrm { X } _ { 3 } = - .616 \\ 332 & 44.0 & 73.0 & 1 & \\ 140 & 32.0 & 63.0 & 2 & \\ 436 & 48.0 & 72.0 & 1 & \text { COEFFICIENTS OF DETERMINATION } \\ 132 & 33.0 & 61.0 & 2 & \\ 356 & 48.0 & 64.0 & 2 & \mathrm { Y } _ { 1 } / \mathrm { X } _ { 1 } = .905 \\ 150 & 35.0 & 59.0 & 1 & \mathrm { X } _ { 1 } , \mathrm { X } _ { 2 } = .919 \\ 202 & 40.0 & 63.0 & 2 & \mathrm { Y } _ { 1 } , \mathrm { X } _ { 2 } , \mathrm { X } _ { 3 } = .927 \\ 365 & 50.0 & 70.5 & 1 & \end{array}$

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

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Biological Explanation

The analysis of behaviors, physical traits, and other phenomena in terms of biological processes and principles, including genetics and evolutionary history.