TABLE 14-11 A Weight-Loss Clinic Wants to Use Regression Analysis to Build

question 123

Multiple Choice

TABLE 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)
X₁ = Length of time in weight-loss program (in months)
X₂ = 1 if morning session, 0 if not
X₃ = 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 = β₀ + β₁X₁ + β₂X₂ + β₃X₃ + β₄X₁X₂ + β₅X₁X₂ + ε
Partial output from Microsoft Excel follows:

-Referring to Table 14-11, in terms of the βs 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) β₁ + β₄
• B) β₁ + β₅
• C) β₁
• D) β₄ + β₅

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Definitions:

Genetic Expression

The process by which information from a gene is used to synthesize functional gene products, such as proteins, which can influence an organism's traits.

Environment

pertains to the surrounding conditions or context in which a person, plant, or animal operates, affecting growth, development, and survival.

Hormones

Chemical substances produced in the body that regulate and control the activity of certain cells or organs, crucial for bodily functions.

Genes

Basic units of heredity that are made up of DNA and determine specific characteristics by encoding proteins.