SCENARIO 18-6 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) = Length of time in weight-loss program (in months)
= 1 if morning session, 0 if not
= 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:
Partial output from Microsoft Excel follows:
-Referring to Scenario 18-6, which of the following statements is supported by the analysis shown?
A) There is sufficient evidence (at = 0.05) of curvature in the relationship between weight-loss (Y) and months in program(
) .
B) There is sufficient evidence (at = 0.05) to indicate that the relationship between weight-loss (Y) and months in program (
) depends on session time.
C) There is sufficient evidence (at = 0.10) to indicate that the session time (morning, afternoon, evening) affects weight-loss (Y) .
D) There is insufficient evidence (at = 0.10) to indicate that the relationship between weight-loss (Y) and months in program(
depends on session time.
Correct Answer:
Verified
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