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.)
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.)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Both of these photos correlate with question 2

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E - EE
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AaBbCcDdEe
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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.)

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AaBbCcDdEe
AaBbCcDdEe
AaBbCcDdEe
AaBbCcDdEe
Normal
Body Text
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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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