A Realtor Wants to Predict and Compare the Prices of Homes

question 53

Essay

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 + β₁ Size + β₃ Loc1 + β₄ Loc2 + ε
Model C: Price = β₀ + β₁Size + β₂Age + 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.
Using Model C,what is the conclusion for testing the joint significance of the two dummy variables at the 1% significance level?

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Definitions:

Interest

The charge for borrowing money or the compensation paid to depositors on their deposits, usually expressed as an annual percentage rate.

Unpaid Balance

The amount of money that is still owed on a loan or credit line that has not yet been paid.

Loan Principal

The amount of money that is borrowed and must be repaid, not including interest or any other charges.

Property Tax Payable

A liability representing taxes due on the property owned by an individual or company, typically paid annually.