Question
A realtor in Arlington, Massachusetts, is analyzing the relationship between the sale price of a home (Price in $), its square footage (Sqft), the number
A realtor in Arlington, Massachusetts, is analyzing the relationship between the sale price of a home (Price in $), its square footage (Sqft), the number of bedrooms (Beds), and the number of bathrooms (Baths). She collects data on 36 sales in Arlington in the first quarter of 2009 for the analysis. A portion of the data is shown in the accompanying table.
Price | Sqft | Beds | Baths |
560,000 | 1,845 | 3 | 2.0 |
632,308 | 1,923 | 3 | 2.0 |
307,500 | 850 | 1 | 1.0 |
Click here for the Excel Data File
a.Estimate the model: Price =0+1Sqft +2Beds +3Baths +.(Round Coefficients to 2 decimal places.)
b-1.Interpret the coefficient of sqft.
multiple choice 1
- For every additional square foot, the predicted price of a home increases by $123.11.
- For every additional square foot, the predicted price of a home increases by $123.11, holding number of bedrooms and bathrooms constant.
- For every additional square foot, the predicted price of a home increases by $123.11, holding square foot, number of bedrooms and bathrooms constant.
b-2.Interpret the coefficient of beds. multiple choice 2
- For every additional bedroom, the predicted price of a home increases by $28,115.32.
- For every additional bedroom, the predicted price of a home increases by $28,115.32, holding square footage and number of baths constant.
- For every additional bedroom, the predicted price of a home increases by $28,115.32, holding square foot, number of bedrooms and bathrooms constant.
b-3.Interpret the coefficient of baths. multiple choice 3
- For every additional bathroom, the predicted price of a home increases by $69,668.67.
- For every additional bathroom, the predicted price of a home increases by $69,668.67, holding square footage and number of bedrooms constant.
- For every additional bathroom, the predicted price of a home increases by $69,668.67, holding square foot, number of bedrooms and bathrooms constant.
c.Predict thePricePrice^of a 2,191 square-foot home with four bedrooms and three bathrooms.(Round coefficient estimates to at least 4 decimal places and final answer to the nearest whole number.)
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