Use the Regression Output Below to Answer the Following Questions $( X ) =$

question 71

Multiple Choice

Use the regression output below to answer the following questions.
Lingar Reperaidion Anthyis: Dep Var
$( X ) =$ Weight $X = \{ A$ Ee, Gender, Heifht, MBA, $Y$ ear $\}$
$\begin{array}{|c|c|c|c|c|c|}\hline \text { Coefficients } & \boldsymbol{b} & \begin{array}{c}\text { Std. } \\\text { Error }\end{array} & \begin{array}{c}\text { Std. } \\\text { Beta }\end{array} & \begin{array}{c}\boldsymbol{t} \text {-test } \\\text { Statistic }\end{array} & \begin{array}{c}\boldsymbol{p} \text {-value } \\\text { Two Tailed }\end{array} \\\hline \text { Intercept } & -210.603 & 20.560 & & -10.243 & 0.0000 \\\hline \text { Age } & 0.660 & 0.279 & 0.101 & 2.363 & 0.0186 \\\hline \text { Gender } & 17.449 & 2.450 & 0.267 & 7.122 & 0.0000 \\\hline \text { Height } & 4.999 & 0.294 & 0.613 & 16.982 & 0.0000 \\\hline \text { MBA } & -3.122 & 3.063 & -0.043 & -1.019 & 0.3087 \\\hline \text { Year } & -0.111 & 0.507 & -0.006 & -0.218 & 0.8274 \\\hline\end{array}$

$\begin{array}{|c|c|c|c|c|}\hline \boldsymbol{r} & \boldsymbol{r}^{2} & \text { Adj. } \boldsymbol{r}^{2} & \text { SE(Reg) } & \boldsymbol{n} \\\hline 0.834 & 0.696 & 0.693 & 17.879 & 448 \\\hline\end{array}$

$\begin{array}{|c|c|c|c|c|c|}\hline \begin{array}{c}\text { Source of } \\\text { Variation }\end{array} & \begin{array}{c}\text { Sum of } \\\text { Squares }\end{array} & \text { df } & \begin{array}{c}\text { Mean } \\\text { Squares }\end{array} & \begin{array}{c}F \text {-test } \\\text { Statistic }\end{array} & \begin{array}{c}\boldsymbol{p} \text {-value } \\\text { One Tailed }\end{array} \\\hline \text { Regression } & 323592.24 & 5 & 64718.4 & 202.471 & 0.0000 \\\hline \text { Error } & 141282.23 & 442 & 319.643 & & \\\hline \text { Total } & 464874.47 & 447 & & & \\\hline\end{array}$

-According to the regression output above,which of the following statements most accurately summarizes what can be said,for the entire population,about the weight of individuals with an MBA (MBA=1) versus the weight of individuals without an MBA (MBA=0) ?

• A) They weigh on average 3.122 pounds less than individuals who do not have an MBA.
• B) They weigh on average 3.122 pounds more than individuals who do not have an MBA.
• C) Their weights are roughly the same.
• D) The variable is not a significant predictor, so, even though its coefficient estimate is -3.222, we cannot assume it has an impact on weight.

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Definitions:

Pancreatic Amylase

An enzyme produced by the pancreas and secreted into the small intestine, crucial for breaking down carbohydrates into simple sugars during digestion.

Maltose

A sugar composed of two glucose molecules bonded together, commonly produced during the digestion of starch.

Carboxypeptidase

An enzyme that breaks down proteins by hydrolyzing the peptide bond at the carboxyl-terminal (C-terminal) end of the protein.

Pancreas

An organ in the digestive and endocrine system that produces several important hormones, including insulin, and enzymes to aid in digestion.