Exercise 1. A real estate agent wishes to determine the selling price of residences using the size (square feet) and whether the residence is a condominium or a single-family home. A sample of 20 residences was obtained with the following results: Price (S) Type Square Feet Price (S) Type Square Feet 199,700 Family 211,800 200,600 Condo Condo 210,500 Family Family Condo Condo 1,500 1,375 Condo 2,085 208,000 1,825 197,100 Family 228,400 Family 215,800 Family 190,900 1,450 1,650 1,836 233,300 1,960 1,730 187,200 185,200 1,360 Condo 1,726 1,200 312,200 Family 284,100 Family 207,200 Family 258,200 Family Family 2,300 2,000 313,600 Condo 1,650 1,755 239,000 Family 184,400 Condo 1,950 1,850 1,630 1,545 203,100 1. Produce a regression equation to predict the selling price for residences using a model of the following form: Ni = B + Birı + Bn+e
Exercise 1. A real estate agent wishes to determine the selling price of residences using the size (square feet) and whether the residence is a condominium or a single-family home. A sample of 20 residences was obtained with the following results: Price (S) Type Square Feet Price (S) Type Square Feet 199,700 Family 211,800 200,600 Condo Condo 210,500 Family Family Condo Condo 1,500 1,375 Condo 2,085 208,000 1,825 197,100 Family 228,400 Family 215,800 Family 190,900 1,450 1,650 1,836 233,300 1,960 1,730 187,200 185,200 1,360 Condo 1,726 1,200 312,200 Family 284,100 Family 207,200 Family 258,200 Family Family 2,300 2,000 313,600 Condo 1,650 1,755 239,000 Family 184,400 Condo 1,950 1,850 1,630 1,545 203,100 1. Produce a regression equation to predict the selling price for residences using a model of the following form: Ni = B + Birı + Bn+e
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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
Transcribed Image Text:Exercise 1.
A real estate agent wishes to determine the selling price of residences using the size
(square feet) and whether the residence is a condominium or a single-family home. A sample of 20 residences was
obtained with the following results:
Price (S) Type Square Feet Price (S)
199,700 Family
211,800
Туре Square Feet.
Condo
1,500
200,600
1,375
Condo
2,085
1,450
1,836
1,730
1,726
208,000
Condo
1,825
1,650
197,100 Family
228,400 Family
215,800 Family
Condo
210,500
Family
233,300 Family
187,200
1,960
1,360
Condo
190,900
312,200
185,200
Condo
1,200
Family
Family
Condo
239,000 Family
2,300
284,100
2,000
1,650
1,950
1,545
313,600
207,200
Family
Family
203,100 Family
1,755
1,850
258,200
184,400
Condo
1,630
1.
Produce a regression equation to predict the selling price for residences using a model of the
following form:
yi = Bo + Biri + hra +e
where:
if a condo
ri = Square footage and ra =
0 if a single-family home
2.
Interpret the estimated parameters and , in the model give in part 1.
3.
Produce an equation that describes the relationship between the selling price and the square
footage of (1) condominium and (2) single-family homes.
4.
Conduct a test of hypothesis to determine if the difference between the average selling price of
condominiums and single-family homes significant.
5.
What change would you expect in the estimated regression model if you recode ra as the following?
Rerun the regression model with the newly coded ra and verify your expectation.
1 if a single-family home
if a condo
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