Exhibit 17

question 43

Essay

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.

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Definitions:

Group Difference

Disparities or variations observed between two or more groups in a study, often measured statistically.

Group 1

Typically refers to a specific subgroup or batch of subjects in an experimental design or study.

Group 2

Typically refers to the second set or category of data points or participants that are part of a study, experiment, or analysis.

Effect Size

A quantitative measure of the strength of a phenomenon or the magnitude of a difference between groups in a study.