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As a project for his business statistics class,a student examined the factors that determined parking metre rates throughout the campus area.Data were collected for the price per hour of parking,blocks to the quadrangle and one of the three jurisdictions: on campus,in downtown and off-campus or outside of downtown and off-campus.The population regression model hypothesised is Yi = + 1x1i + 2x2i + 3x3i + i
Where
Y is the metre price
X1 is the number of blocks to the quad
X2 is a dummy variable that takes the value 1 if the metre is located in downtown
And off-campus and the value 0 otherwise
X3 is a dummy variable that takes the value 1 if the metre is located outside of
Downtown and off-campus,and the value 0 otherwise
Suppose that whether the metre is located on campus is an important explanatory factor.Why should the variable that depicts this attribute not be included in the model?
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