MATH 240 ASSIGNMENT

Subject: Mathematics / Statistics
Question
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, which is either in the morning or the afternoon. 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 afternoon.35QuestionMidterm3<a href=.jpg” src=”https://www.coursehero.com/qa/attachment/2556795/”>

1) What is the experimental unit for this analysis (i.e. a “row” in the data set)?

a. a clinic

b. a client on a weight loss program

c. a month

d. a morning, afternoon, or evening session

2) Fill in the blanks for the regression equation for an afternoon session:

Weight loss = __________________ + ______________________ * Length of time

(where weight loss is in pounds and length of time is in months)

3) Fill in the blanks for the regression equation for a morning session:

Weight loss = __________________ + ______________________ * Length of time

(where weight loss is in pounds and length of time is in months)

4) 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 on program (X1).

b) There is sufficient evidence (at 0.05) to indicate that the relationship between weight loss (Y) and months on program (X1) varies with session time.

c) There is insufficient evidence (at 0.05) of curvature in teh relationship between weight loss (Y) and months on program (X1).

d) There is insufficient evidence (at 0.05) to indicate that the relationship between weight loss (Y) and months on program (X1) varies with session time.

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