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,define the null hypothesis for testing the joint significance of the two dummy variables?

Question

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,define the null hypothesis for testing the joint significance of the two dummy variables?

Quizplus · Accepted Answer

The Answer of 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,define the null hypothesis for testing the joint significance of the two dummy variables?

A Realtor Wants to Predict and Compare the Prices of Homes