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

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,which of the following statements is supported by the analysis shown?

A) There is sufficient evidence (at α = 0.05) of curvature in the relationship between weight loss (Y) and months in program (X₁) .
B) There is sufficient evidence (at α = 0.05) to indicate that the relationship between weight loss (Y) and months in program (X₁) depends on session time.
C) There is sufficient evidence (at α = 0.10) to indicate that the session time (morning,afternoon,evening) affects weight loss (Y) .
D) There is insufficient evidence (at α = 0.10) to indicate that the relationship between weight loss (Y) and months in program (X₁) depends on session time.