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

question 303

Multiple Choice

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)
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:
Regression Statistics ANOVA
F = 5.41118 Significance F = 0.040201
-Referring to Table 17-6,what null hypothesis would you test to determine whether the slope of the linear relationship between weight loss (Y) and time in the program (X₁) varies according to time of session?

• A)H₀ : β₁ = β₂ = β₃ = β₄ = β₅ = 0
• B)H₀ : β₂ = β₃ = β₄ = β₅ = 0
• C)H₀ : β₄ = β₅ = 0
• D)H₀ : β₂ = β₃ = 0

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Definitions:

NaCN

Sodium cyanide, a highly toxic chemical compound used primarily in gold mining, as well as in other industrial processes.

Methyl Magnesium Bromide

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Ethyl Acetate

An organic compound used as a solvent in many applications including printing inks, varnishes, and in the production of perfumes and fruits flavors.

Reaction Products

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