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,what null hypothesis would you test to determine whether the slope of the linear relationship between weight loss (Y) and time on the program (X₁) varies according to time of session?

Question

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,what null hypothesis would you test to determine whether the slope of the linear relationship between weight loss (Y) and time on the program (X₁) varies according to time of session?

Quizplus · Accepted Answer

The null hypothesis H₀: β₃ = 0 tests whether the interaction term between time on the program and time of session is significant, indicating if the slope varies according to the time of session.

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