Instruction 13.21
A weight-loss clinic wants to use regression analysis to build a model for weight-loss of a client (measured in kilograms). Two variables thought to effect 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 kilograms)
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 = β0 + 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:

-Referring to Instruction 13.21,the overall model for predicting weight-loss (Y)is statistically significant at the 0.05 level.

Question

Instruction 13.21
A weight-loss clinic wants to use regression analysis to build a model for weight-loss of a client (measured in kilograms). Two variables thought to effect 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 kilograms)
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 = β0 + 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:
 
-Referring to Instruction 13.21,the overall model for predicting weight-loss (Y)is statistically significant at the 0.05 level.

Quizplus · Accepted Answer

The p-value for the F-test is less than 0.05, indicating that the overall model is statistically significant at the 0.05 level.

Instruction 13.21 A Weight-Loss Clinic Wants to Use Regression Analysis to Build