The Following MINITAB Output Presents a Multiple Regression Equation $\hat { y } = b _ { 0 } + b _ { 1 } x _ { 1 } + b _ { 2 } x _ { 2 } +$

question 30

Multiple Choice

The following MINITAB output presents a multiple regression equation $\hat { y } = b _ { 0 } + b _ { 1 } x _ { 1 } + b _ { 2 } x _ { 2 } +$ $+ b _ { 4 } x _ { 4 }$ .
The regression equation is
$$\mathrm { Y } = 5.3535 + 0.7929 \mathrm { X } 1 - 0.8918 \mathrm { X } 2 + 0.5297 \mathrm { X } 3 - 1.7948 \mathrm { X } 4$$
$\begin{array}{lllll}\text { Predictor } & \text { Coef } & \text { SE Coef } & \text { T } & \text { P } \\\text { Constant } & 5.3535 & 0.7240 & 0.8771 & 0.338 \\\text { X1 } & 0.7929 & 0.7986 & 3.3073 & 0.002 \\\text { X2 } & -0.8918 & 0.8208 & -2.9354 & 0.009 \\\text { X3 } & 0.5297 & 0.8980 & 1.9458 & 0.083 \\\text { X4 } & -1.7948 & 0.6461 & -1.0262 & 0.340\end{array}$



$\text { Analysis of Variance }$
$\begin{array}{lccccc}\text { Source } & \text { DF } & \text { SS } & \text { MS } & \text { F } & \text { P } \\\text { Regression } & 4 & 1,188.8 & 297.2 & 7.7396 & 0.003 \\\text { Residual Error } & 31 & 1,190.1 & 38.4 & & \\\text { Total } & 35 & 2,378.9 & & & \\\hline\end{array}$
b₃x₃ What percentage of the variation in y is explained by the model?

• A) 50.0%
• B) 42.3%
• C) 0.3%
• D) 7.7396%

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Definitions:

Abstinence

The practice of abstaining from indulging in a habit or substance, especially alcohol, drugs, or sexual activity.

Seminiferous Tubule

The highly coiled tubules within the testes where spermatogenesis, the process of sperm production, occurs.

Vas Deferens

The duct that conveys sperm from the testicle to the urethra in male mammals.

Semen

A fluid containing spermatozoa and secretions from male reproductive organs, which is capable of fertilizing female ova.