Suppose that you have been asked to estimate a regression model to explain the number of people
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Question:
- Suppose that you have been asked to estimate a regression model to explain the number of people jogging a mile or more on the school track to help decide whether to build a second track to handle all the joggers. You collect data by living in a press box for the spring semester, and you run two possible explanatory equations:
A: Y = 125.0 - 15.0X1 - 1.0X2 + 1.5X3 R2 = .75
B: Y = 123.0 - 14.0X1 + 5.5X2 - 3.7X4 R2 = .73
where: Y = the number of joggers on a given day
X1 = inches of rain that day
X2 = hours of sunshine that day
X3 = the high temperature for that day (in degrees F)
X4 = the number of classes with term papers due the next day
- Which of the two (admittedly hypothetical) equations do you prefer? Why?
- How is it possible to get different estimated signs for the coefficient of the same variable using the same data?
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