SCENARIO 14-11
a Weight-Loss Clinic Wants to Use Regression Analysis $Y=$

question 110

True/False

SCENARIO 14-11
A weight-loss clinic wants to use regression analysis to build a model for weight loss of a client
(measured in pounds). Two variables thought to affect weight loss are client's length of time on the
weight-loss program and time of session. These variables are described below: $Y=$ Weight loss (in pounds)
$X_{1}=$ Length of time in weight-loss program (in months)
$X_{2}=1$ if morning session, 0 if not
Data for 25 clients on a weight-loss program at the clinic were collected and used to fit the interaction model: $Y=\beta_{0}+\beta_{1} X_{1}+\beta_{2} X_{2}+\beta_{3} X_{1} X_{2}+\varepsilon$

$\text { Output from Microsoft Excel follows: }$

$\begin{array}{lr}{\text { Regression Statistics }} \\\hline \text { Multiple R } & 0.7308 \\\text { R Square } & 0.5341 \\\text { Adjusted R Square } & 0.4675 \\\text { Standard Error } & 43.3275 \\\text { Observations } & 25 \\\hline\end{array}$

$\text { ANOVA }$


$\begin{array}{lrrrrrrr}\hline & \text { Coefficients } & \text { Standard Error } & {t \text { Stot }} & \rho_{\text {-value }} & \text { Lower 99\% } & \text { Upper 99\% } \\\hline \text { Intercept } & -20.7298 & 22.3710 & -0.9266 & 0.3646 & -84.0702 & 42.6106 \\\text { Length } & 7.2472 & 1.4992 & 4.8340 & 0.0001 & 3.0024 & 11.4919 \\\text { Morn } & 90.1981 & 40.2336 & 2.2419 & 0.0359 & -23.7176 & 204.1138 \\\text { Length × Morn } & -5.1024 & 3.3511 & -1.5226 & 0.1428 & -14.5905 & 4.3857\end{array}$


-Referring to Scenario 14-11, the overall model for predicting weight loss (Y) is
statistically significant at the 0.05 level.

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Definitions:

Fossa Ovalis

A depression in the interatrial septum of the heart, the remnant of the foramen ovale of the fetal heart.

Left Atrium

One of the four chambers of the heart, which receives oxygenated blood from the pulmonary veins and pumps it into the left ventricle.

Right Ventricle

The chamber of the heart that receives deoxygenated blood from the right atrium and pumps it to the lungs for oxygenation.

Cardiac Muscle Fibers

Cardiac muscle fibers are specialized heart muscle cells that contract rhythmically and make up the myocardium of the heart.