TABLE 17-6 A Weight-Loss Clinic Wants to Use Regression Analysis to Build

question 277

Multiple Choice

TABLE 17-6
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 + β₅X₁X₃ + ε
Partial output from Microsoft Excel follows:
Regression Statistics ANOVA
F = 5.41118 Significance F = 0.040201
-Referring to Table 17-6,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 morning session.

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

---

Definitions:

Self-Employment Income

Self-Employment Income is money earned from carrying out business activities or providing services as an independent contractor, rather than as an employee.

Advance Rental Payments

Prepayments of rent, often required by landlords, accounted for before the period of use or occupancy.

Security Deposits

Funds held by a landlord as a financial protection against damage to property or unpaid rent by a tenant, to be returned at the end of a lease term under certain conditions.

Passive Activities

Economic activities in which the individual does not materially participate, often resulting in income or losses for tax purposes.