Data from a random sample of 107 home sales in 2003 yielded the regression P^=119.2+0.485BD+23.4BA+0.156HS+0.002PS+0.090A−35.6PC, where P is price or value (Rs. 1000), BD = bedrooms, BA = baths, HS = house size (sq. ft.), PS = plot size (sq. ft.), A = age (years), and PC=1 if the house is in poor condition and 0 otherwise. If a homeowner adds a new bathroom which increases the house size by 100 sq. ft., what is the expected increase in the value of the house?
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Data from a random sample of 107 home sales in 2003 yielded the regression P̂=119.2+0.485 BD+23.4 BA+0.156 HS+0.002 PS+0.090 A-35.6 PC, where P is price or value (Rs. 1000), BD = bedrooms, BA = baths, HS = house size (sq. ft.), PS = plot size (sq. ft.), A = age (years), and PC=1 if the house is in poor condition and 0 otherwise. If a homeowner adds a new bathroom which increases the house size by 100 sq. ft., what is the expected increase in the value of the house? (A) Rs. 37,000 (B) Rs. 39,450 (C) Rs. 39,000 (D) Rs. 37,200
Also written as: Data from a random sample of 107 home sales in 2003 yielded the regression P_hat=119.2+0.485 BD+23.4 BA+0.156 HS+0.002 PS+0.090 A-35.6 PC, where P is price or value (Rs. 1000), BD = bedrooms, BA = baths, HS = house size (sq. ft.), PS = plot size (sq. ft.), A = age (years), and PC=1 if the house is in poor condition and 0 otherwise. If a homeowner adds a new bathroom which increases the house size by 100 sq. ft., what is the expected increase in the value of the house?
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What this question tests
This question is on Interpreting slopes, intercepts and rescaling, part of Linear regression and OLS in Econometrics.
Reading a fitted coefficient, and what changes when variables are rescaled.
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