2. In a study relating college grade point average to time spent in various activities, you distribute a survey to several students. The students are asked how many hours they spend each week in four activities: 1 studying, sleeping, working, and leisure. Any activity is put into one of the four categories, so that for each student, the sum of hours in the four activities must be 168. (a) In the model: GPA= Bo + B1study + B2sleep + Bzwork + Baleisure + u does it make sense to hold sleep, work, and leisure fixed, while changing study? (b) Does this model violate Assumption MLR.3? (c) How could you reformulate the model so that its parameters have a useful interpretation and it satisfies Assumption MLR.3?

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2. In a study relating college grade point average to time spent in various
activities, you distribute a survey to several students. The students
are asked how many hours they spend each week in four activities:
1
studying, sleeping, working, and leisure. Any activity is put into one
of the four categories, so that for each student, the sum of hours in
the four activities must be 168.
(a) In the model:
GPA= Bo + B1study + B2sleep + Bzwork + Baleisure + u
does it make sense to hold sleep, work, and leisure fixed, while
changing study?
(b) Does this model violate Assumption MLR.3?
(c) How could you reformulate the model so that its parameters have
a useful interpretation and it satisfies Assumption MLR.3?
Transcribed Image Text:2. In a study relating college grade point average to time spent in various activities, you distribute a survey to several students. The students are asked how many hours they spend each week in four activities: 1 studying, sleeping, working, and leisure. Any activity is put into one of the four categories, so that for each student, the sum of hours in the four activities must be 168. (a) In the model: GPA= Bo + B1study + B2sleep + Bzwork + Baleisure + u does it make sense to hold sleep, work, and leisure fixed, while changing study? (b) Does this model violate Assumption MLR.3? (c) How could you reformulate the model so that its parameters have a useful interpretation and it satisfies Assumption MLR.3?
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