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:
Data for 12 clients on a weight-loss program at the clinic were collected and used to fit the interaction model:
Partial output from Microsoft Excel follows:
Regression Statistics
ANOVA

-Referring to Table 14-11, in terms of the β's in the model, give the average change in weight-loss (Y) for every 1 month increase in time in the program (X₁) when attending the afternoon 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:

Data for 12 clients on a weight-loss program at the clinic were collected and used to fit the interaction model:

Partial output from Microsoft Excel follows:
Regression Statistics

ANOVA

-Referring to Table 14-11, in terms of the β's in the model, give the average change in weight-loss (Y) for every 1 month increase in time in the program (X₁) when attending the afternoon session.

Quizplus · Accepted Answer

From the given model, the estimated regression equation is: Y = β0 + β1(X₁) + β2(X₂) + β3(X₃) + β4(X₄) + β5(X₅) + ε We are interested in the average change in weight-loss (Y) for every 1 month increase in time in the program (X₁) when attending the afternoon session (X₅). This corresponds to the coefficient β₁ multiplied by the value of X₅. Therefore, the answer is β₁ + β₅. The best choice is B.

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