Data were collected from a random sample of 220 home sales from a com- munity in 2013. Let Price denote the selling price (in $1000), BDR denote the number of bedrooms, Bath denote the number of bathrooms, Hsize denote the size of the house (in square feet). Lsize denote the lot size (in square feet), Age denote the age of the house (in years), and Poor denote a binary variable that is equal to 1 if the condition of the house is reported as "poor." An estimated regression yields Price 119.2 + 0.485BDR + 23.4Bath + 0.156Hsize + 0.002Lsize %3D + 0.090Age – 48.8Poor, R2 = 0.72, SER = 41.5. a. Suppose that a homeowner converts part of an existing family room in her house into a new bathroom. What is the expected increase in the value of the house? b. Suppose that a homeowner adds a new bathroom to her house, which increases the size of the house by 100 square feet. What is the expected increase in the value of the house? c. What is the loss in value if a homeowner lets his house run down so that its condition becomes "poor"? d. Compute the R? for the regression.

Elements Of Modern Algebra
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ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
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Data were collected from a random sample of 220 home sales from a com-
munity in 2013. Let Price denote the selling price (in $1000), BDR denote
the number of bedrooms, Bath denote the number of bathrooms, Hsize
denote the size of the house (in square feet) Lsize denote the lot size (in
square feet), Age denote the age of the house (in years), and Poor denote
a binary variable that is equal to 1 if the condition of the house is reported
as "poor." An estimated regression yields
Price = 119.2 + 0.485BDR + 23.4Bath + 0.156Hsize + 0.002Lsize
+ 0.090Age - 48.8Poor, R2 = 0.72, SER = 41.5.
a. Suppose that a homeowner converts part of an existing family room
in her house into a new bathroom. What is the expected increase in
the value of the house?
b. Suppose that a homeowner adds a new bathroom to her house,
which increases the size of the house by 100 square feet. What is the
expected increase in the value of the house?
c. What is the loss in value if a homeowner lets his house run down so
that its condition becomes "poor"?
d. Compute the R2 for the regression.
Transcribed Image Text:Data were collected from a random sample of 220 home sales from a com- munity in 2013. Let Price denote the selling price (in $1000), BDR denote the number of bedrooms, Bath denote the number of bathrooms, Hsize denote the size of the house (in square feet) Lsize denote the lot size (in square feet), Age denote the age of the house (in years), and Poor denote a binary variable that is equal to 1 if the condition of the house is reported as "poor." An estimated regression yields Price = 119.2 + 0.485BDR + 23.4Bath + 0.156Hsize + 0.002Lsize + 0.090Age - 48.8Poor, R2 = 0.72, SER = 41.5. a. Suppose that a homeowner converts part of an existing family room in her house into a new bathroom. What is the expected increase in the value of the house? b. Suppose that a homeowner adds a new bathroom to her house, which increases the size of the house by 100 square feet. What is the expected increase in the value of the house? c. What is the loss in value if a homeowner lets his house run down so that its condition becomes "poor"? d. Compute the R2 for the regression.
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