2. Data were collected from a random sample of 220 home sales from a community in 2003. 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+0.485 BDR +23.4 Bath +0.156 Hsize +0.002 Lsize (23.9) (2.61) (8.94) (0.011) (0.00048) +0.090 Age-48.8 Poor, (0.311) (10.5) R² = 0.72, SER= 41.5 (a) What is the loss in value if a homeowner lets his house run down so that its condition becomes "poor"? (b) Compute the (unadjusted) R² for the regression. (c) Is the coefficient on BDR statistically significantly different from zero?

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
2. Data were collected from a random sample of 220 home sales from a community in
2003. 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 + 0.485 BDR +23.4 Bath +0.156 Hsize +0.002 Lsize
(23.9) (2.61)
(8.94)
(0.011)
(0.00048)
+0.090 Age -48.8 Poor,
(0.311)
(10.5)
R² = 0.72, SER = 41.5
(a) What is the loss in value if a homeowner lets his house run down so that its condition
becomes "poor"?
(b) Compute the (unadjusted) R² for the regression.
(c) Is the coefficient on BDR statistically significantly different from zero?
(d) Typically five-bedroom houses sell for much more than two-bedroom houses. Is this
consistent with your answer to (c) and with the regression more generally?
(e) A homeowner purchases 2000 square feet from an adjacent lot. Construct a 99%
confidence interval for the change in the value of her house.
(f) Lot size is measured in square feet. Do you think that another scale might be more
appropriate? Why or why not?
Transcribed Image Text:2. Data were collected from a random sample of 220 home sales from a community in 2003. 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 + 0.485 BDR +23.4 Bath +0.156 Hsize +0.002 Lsize (23.9) (2.61) (8.94) (0.011) (0.00048) +0.090 Age -48.8 Poor, (0.311) (10.5) R² = 0.72, SER = 41.5 (a) What is the loss in value if a homeowner lets his house run down so that its condition becomes "poor"? (b) Compute the (unadjusted) R² for the regression. (c) Is the coefficient on BDR statistically significantly different from zero? (d) Typically five-bedroom houses sell for much more than two-bedroom houses. Is this consistent with your answer to (c) and with the regression more generally? (e) A homeowner purchases 2000 square feet from an adjacent lot. Construct a 99% confidence interval for the change in the value of her house. (f) Lot size is measured in square feet. Do you think that another scale might be more appropriate? Why or why not?
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 1 images

Blurred answer
Follow-up Questions
Read through expert solutions to related follow-up questions below.
Follow-up Question
(d) Typically five-bedroom houses sell for much more than two-bedroom houses. Is this
consistent with your answer to (c) and with the regression more generally?
(e) A homeowner purchases 2000 square feet from an adjacent lot. Construct a 99%
confidence interval for the change in the value of her house.
(f) Lot size is measured in square feet. Do you think that another scale might be more
appropriate? Why or why not?
Transcribed Image Text:(d) Typically five-bedroom houses sell for much more than two-bedroom houses. Is this consistent with your answer to (c) and with the regression more generally? (e) A homeowner purchases 2000 square feet from an adjacent lot. Construct a 99% confidence interval for the change in the value of her house. (f) Lot size is measured in square feet. Do you think that another scale might be more appropriate? Why or why not?
Solution
Bartleby Expert
SEE SOLUTION
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman