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

question 84

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 evening session.

• A) β₁ + β₄
• B) β₁ + β₅
• C) β₁
• D) β₄ + β₅

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Definitions:

Ribosomes

Small organelles that function as the site of protein synthesis in the cell, reading RNA to create proteins.

Amino Acids

Building blocks of proteins, playing critical roles in body functions, including cell structure and transport.

Carboxyl Group

A functional group consisting of a carbon atom double-bonded to an oxygen atom and single-bonded to a hydroxyl group (COOH), characteristic of organic acids.

Peptide Bond

A peptide bond is a chemical bond formed between two amino acids during protein synthesis, linking them together in a polypeptide chain.