Instruction 13 $Y =$ Weight-Loss (In Kilograms) $X _ { 1 } =$

question 215

Multiple Choice

Instruction 13.38
A weight-loss clinic wants to use regression analysis to build a model for weight-loss of a client (measured in kilograms) . Two variables thought to effect 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 kilograms)
$X _ { 1 } =$ Length of time in weight-loss program (in months)
$x _ { 2 } = 1$ if morning session, 0 if not
$x _ { 3 } = 1$ if afternoon session, 0 if not (Base level = evening session)
Data for 12 clients on a weight-loss program at the clinic were collected and used to fit the interaction model:
$$Y = \beta 0 + \beta _ { 1 } X _ { 1 } + \beta _ { 2 } X _ { 2 } + \beta _ { 3 } X _ { 3 } + \beta _ { 4 } X _ { 1 } X _ { 2 } + \beta _ { 5 } X _ { 1 } X _ { 3 } + \varepsilon$$
Partial output from Microsoft Excel follows:

-Referring to Instruction 13.38,in terms of the ?s in the model,give the mean change in weight-loss (Y) for every 1 month increase in time in the program (X₁) when attending the afternoon session.

• A) \(\beta\)₁ + \(\beta\)₄
• B) \(\beta\)₁ + \(\beta\)_{5 C.} \(\beta\)_{1 D.} \(\beta\)₄ + \(\beta\)₅

---

Definitions:

Trinity College

An educational institution, but without specific details provided, it could refer to one of several around the world known for their academic excellence and historical significance.

Theology Classes

Educational courses or sessions dedicated to the study of religious beliefs, divine elements, and the nature of godliness.

Sixteenth Century

The period of time from 1501 to 1600, noted for significant global exploration, cultural transformations in Europe, and the beginnings of the modern era.

Seventeenth Century

The seventeenth century spans the years 1601 to 1700, marking a period in history known for significant developments in science, art, and politics.