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

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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:
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
-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.


Definitions:

Compliance

Following rules, standards, or laws, or the act of adhering to requests or demands from others.

Adherence

The extent to which individuals follow the rules, guidelines, or treatment plans prescribed by authorities or experts, often used in contexts like healthcare, law, and organizational policies.

Commitment

The state or quality of being dedicated to a cause, activity, or goal.

Coalition Building

The process of assembling a temporary alliance or partnership of groups in order to achieve a common goal.

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