2. Suppose a liner housing price function rice = -105,000 + 60 aea + 32,000 raing +109,000 · zoingrH -25,000 faing zớingrH where price: sale price, in dollars. area: living area, in square feet. rating: overall rating of the house. (1: very poor; 10: very excellent) zoning RH: a zoning classification dummy variable. It equals to 1 if the observation is in the residential- high-density zone. Otherwise, it equals to 0. Please answer the following questions based on the above regression equation. aprice Derive the first order derivative of the price function with respect to raing (i.e. (a) draing Interpret the derivative result when zoingRn = 1 and zoingRH = 0. %3D (Hint: interpret the interaction effect between the rating and the zoning classification.)

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2. Suppose a liner housing price function
price = -105,000 + 60 rea + 32,000 raing + 109,000 · zoingrH
- 25,000 · faing · zongRH
where
price: sale price, in dollars.
area: living area, in square feet.
rating: overall rating of the house. (1: very poor; 10: very excellent)
zoning RH: a zoning classification dummy variable. It equals to 1 if the observation is in the residential-
high-density zone. Otherwise, it equals to 0.
Please answer the following questions based on the above regression equation.
Derive the first order derivative of the price function with respect to raing (i.e.
aprice
araing
(a)
Interpret the derivative result when zoingRh = 1 and zoingrH = 0.
(Hint: interpret the interaction effect between the rating and the zoning classification.)
Transcribed Image Text:Table Window Help Problem Set 3-edited Mailings Review View O Tell me E - EE AaBbCcDdEe AaBbCcDdEe AaBbCcDdEe AaBbCcDd! Normal Body Text List Paragraph No Spacing 2. Suppose a liner housing price function price = -105,000 + 60 rea + 32,000 raing + 109,000 · zoingrH - 25,000 · faing · zongRH where price: sale price, in dollars. area: living area, in square feet. rating: overall rating of the house. (1: very poor; 10: very excellent) zoning RH: a zoning classification dummy variable. It equals to 1 if the observation is in the residential- high-density zone. Otherwise, it equals to 0. Please answer the following questions based on the above regression equation. Derive the first order derivative of the price function with respect to raing (i.e. aprice araing (a) Interpret the derivative result when zoingRh = 1 and zoingrH = 0. (Hint: interpret the interaction effect between the rating and the zoning classification.)
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(b) What is the predicted housing price in the residential-high-density zone when the rating is5, and the
living area is 1,000 square feet?
(c) To predict a housing price of $211,000 (i.e., price = $211,000) for a 1,000-square-feet- property in
the non-residential-high-density zone (i.e., zoingRH= 0), what would the rating have to be?
Transcribed Image Text:Table Window Help Problem Set 3-edited Mailings Review View O Tell me AaBbCcDdEe AaBbCcDdEe AaBbCcDdEe AaBbCcDdEe Normal Body Text List Paragraph No Spacing (b) What is the predicted housing price in the residential-high-density zone when the rating is5, and the living area is 1,000 square feet? (c) To predict a housing price of $211,000 (i.e., price = $211,000) for a 1,000-square-feet- property in the non-residential-high-density zone (i.e., zoingRH= 0), what would the rating have to be?
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