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

question 263

True/False

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)
X₁ = Length of time in weight-loss program (in months)
X₂ = 1 if morning session, 0 if not
X₃ = 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 + β₁X₁ + β₂X₂ + β₃X₃ + β₄X₁X₂ + β₅X₁X₃ + 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.

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