The variables used in the analysis below include: house price ($1000s) - price, lot size (square feet) - lotsz, house square feet - sqft, and number of bedrooms - bdrms. Use the estimated OLS models to answer the questions below: Model A: In (price) =-.975+.873ln(sqft), (.085) (.641) n = 88; R² = .553 Model B: In(price) = -1.297 (.651) n = 88; R² = .643 +.700ln(sqft) + .168ln(lotsz) + .037bdrms, (.093) (.038) (.028) From Model B, test the null hypothesis that all of the slope parameters are jointly equal to zero, i.e. Ho: Bin(sqft) = 0, Bin(lotsz) = 0, 3bdrms = 0. Report the test statistic.

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
The variables used in the analysis below include: house price ($1000s) – price, lot size (square feet) – lotsz, house square feet – sqft, and number of bedrooms – bdrms. Use the estimated OLS models to answer the questions below:

Model A:

\[ 
\ln(\widehat{\text{price}}) = -0.975 \, (\pm 0.641) + 0.873 \ln(\text{sqft}) \, (\pm 0.085), 
\]

\[
n = 88; \, R^2 = 0.553
\]

Model B:

\[ 
\ln(\widehat{\text{price}}) = -1.297 \, (\pm 0.651) + 0.700 \ln(\text{sqft}) \, (\pm 0.093) + 0.168 \ln(\text{lotsz}) \, (\pm 0.038) + 0.037 \text{bdrms} \, (\pm 0.028), 
\]

\[
n = 88; \, R^2 = 0.643
\]

From Model B, test the null hypothesis that all of the slope parameters are jointly equal to zero, i.e.

\[
H_0: \beta_{\ln(\text{sqft})} = 0, \, \beta_{\ln(\text{lotsz})} = 0, \, \beta_{\text{bdrms}} = 0.
\]

Report the test statistic.
Transcribed Image Text:The variables used in the analysis below include: house price ($1000s) – price, lot size (square feet) – lotsz, house square feet – sqft, and number of bedrooms – bdrms. Use the estimated OLS models to answer the questions below: Model A: \[ \ln(\widehat{\text{price}}) = -0.975 \, (\pm 0.641) + 0.873 \ln(\text{sqft}) \, (\pm 0.085), \] \[ n = 88; \, R^2 = 0.553 \] Model B: \[ \ln(\widehat{\text{price}}) = -1.297 \, (\pm 0.651) + 0.700 \ln(\text{sqft}) \, (\pm 0.093) + 0.168 \ln(\text{lotsz}) \, (\pm 0.038) + 0.037 \text{bdrms} \, (\pm 0.028), \] \[ n = 88; \, R^2 = 0.643 \] From Model B, test the null hypothesis that all of the slope parameters are jointly equal to zero, i.e. \[ H_0: \beta_{\ln(\text{sqft})} = 0, \, \beta_{\ln(\text{lotsz})} = 0, \, \beta_{\text{bdrms}} = 0. \] Report the test statistic.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Similar questions
  • SEE MORE 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