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) X 1 = Length of time in weight-loss program (in months) X 2 = 1 if morning session,0 if not X 3 = 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 = β 0 + β 1 X 1 + β 2 X 2 + β 3 X 3 + β 4 X 1 X 2 + β 5 X 1 X 3 + 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.

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The Answer of 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) X 1 = Length of time in weight-loss program (in months) X 2 = 1 if morning session,0 if not X 3 = 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 = β 0 + β 1 X 1 + β 2 X 2 + β 3 X 3 + β 4 X 1 X 2 + β 5 X 1 X 3 + 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.

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