A Realtor Wants to Predict and Compare the Prices of Homes

question 121

Short Answer

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 + β₁ Size + β₂ Age + ε
Model B: Price = β₀ + β₁ Size + β₃ Loc1 + β₄ Loc2 + ε
Model C: Price = β₀ + β₁ Size + β₂ Age + β₃ Loc1 + β₄ Loc2 + ε
where,
Price = the price of a home (in $1,000s)
Size = the square footage (in sq. 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. Note: The values of relevant test statistics are shown in parentheses below the estimated coefficients.
Obtain the p-value for testing the individual significance of Age in Model C.

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Definitions:

Job Sharing

An employment arrangement where two or more people share the responsibilities and duties of a single full-time job.

Absenteeism

The habitual non-presence of an employee at their job, which can indicate dissatisfaction with the job, health issues, or personal problems.

Flextime

A flexible working schedule that allows employees to choose their work hours within agreed limits.

Organizational Culture

The shared values, beliefs, and practices that shape the social and psychological environment of a business or institution.