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

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
Data for 25 clients on a weight-loss program at the clinic were collected and used to fit the interaction model:
Y = β₀ + β₁X₁ + β₂X₂ + β₃X₁X₂ + ε
Output from Microsoft Excel follows:
-Referring to Table 14-11,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 on program (X₁) .
B) There is sufficient evidence (at α = 0.05) to indicate that the relationship between weight loss (Y) and months on program (X₁) varies with session time.
C) There is insufficient evidence (at α = 0.05) of curvature in the relationship between weight loss (Y) and months on program (X₁) .
D) There is insufficient evidence (at α = 0.05) to indicate that the relationship between weight loss (Y) and months on program (X₁) varies with session time.