A weight-loss clinic wants to use regression analysis to build a model for weigh

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: 1) client's length of time on the weight loss program; and 2) time of session, which is in the morning or the afternoon.
Variables:
Y = weight loss (in pounds)
X1 = Length of time in weight loss program (in months)
X2 = 1 if morning session; 0 if afternoon session.
Data for 25 clients on a weight loss program at the clinic were collected adn used to fit the interaction model : Y = B0 + B1X1 + B2X2 + B3X1X2 + E
The regression analysis is below:

Questions:
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)

Regression Statistics Multiple R 0.7308 R Square 0.5341 Adjusted R Square 0.4675 Standard Error 43.3275 Observations 25 ANOVA df SS MS F Significance F Regression 3 45194.0661 15064.689 8.0248 0.0009 Residual 21 39422.6542 1877.2692 Total 24 84616.7203 Coefficients Standard Error t Stat P-Value Lower 99% Upper 99% Intercept -20.7298 22.371 -0.9266 0.3646 -84.0702 42.6106 Length 7.2472 1.4992 4.834 0.0001 3.0024 11.4919 Morn 90.1981 40.2336 2.2419 0.0359 -23.7176 204.1138 Length x Morn -5.1024 3.3511 -1.5226 0.1428 -14.5905 4.3857

Explanation / Answer

1)

b. a client on a weight loss program

2)

Weight loss = _______-20.7298__________ + __________7.2472____________ * Length of time

3

Weight loss = _________90.1981__________ + _________7.2472_____________ * Length of time

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