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Exhibit 17.8.A realtor wants to predict and compare the prices of homes in three neighboring locations.She considers the following linear models:
Model A: Price = β0 + β1Size + β2Age + ε,
Model B: Price = β0 + β1Size + β2Loc1 + β3Loc2 + ε,
Model C: Price = β0 + β1Size + β2Age + β3Loc1 + β4Loc2 + ε,
where,
Price = the price of a home (in $thousands),
Size = the square footage (in square feet),
Loc1 = a dummy variable taking on 1 for Location 1,and 0 otherwise,
Loc2 = a dummy variable taking on 1 for Location 2,and 0 otherwise.
After collecting data on 52 sales and applying regression,her findings were summarized in the following table.
Marine Fossils
Remains of marine organisms that have been preserved in sedimentary rock.
Deformation
The process of change in the shape or size of rocks in response to stress, leading to folding, faulting, or shearing.
Subsidence
The gradual sinking or settling of the Earth's surface, which can result from natural processes such as erosion or human activities like mining.
Uplift
The vertical elevation of the Earth's surface due to natural processes like tectonic movements, leading to mountain building and other geological features.
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