Using a sample of 546 observations, a researcher is interested in finding factors that influence house prices (measured in ten thousands). The researcher run regression of Hedonic price model that explain house prices using lot size, bed rooms, bath rooms, stories all are measured in number of units and dummy variables 2 whether the house has air-conditioning, drive way, recreation room, glass show , full basement, garage place and preferred area the results are shown below.

Principles of Economics 2e
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ISBN:9781947172364
Author:Steven A. Greenlaw; David Shapiro
Publisher:Steven A. Greenlaw; David Shapiro
ChapterA: The Use Of Mathematics In Principles Of Economics
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10 Using a sample of 546 observations, a researcher is interested in finding factors that influence house prices (measured in ten thousands). The researcher run regression of Hedonic price model that explain house prices using lot size, bed rooms, bath rooms, stories all are measured in number of units and dummy variables 2 whether the house has air-conditioning, drive way, recreation room, glass show , full basement, garage place and preferred area the results are shown below.

. reg price lotsize bedrooms bathrms airco driveway recroom fullbase gashw garagepl prefarea stories
Source
df
MS
Number of obs
546
F (11, 534)
99.97
Model
2.6158e+11
11
2.3780e+10
Prob > F
0.0000
Residual
1.2703e+11
534
237874666
R-squared
0.6731
Adj R-squared
0.6664
Total
3.8860e+11
545
713032635
Root MSE
15423
price
Coef.
Std. Err.
P>|t]|
[95% Conf. Interval]
lotsize
3.546303
.3503
10.12
0.000
2.858168
4.234438
bedrooms
1832.003
1047
1.75
0.081
-224.7409
3888.748
bathrms
14335.56
1489.921
9.62
0.000
11408.73
17262.38
airco
12632.89
1555.021
8.12
0.000
9578.182
15687.6
driveway
6687.779
2045.246
3.27
0.001
2670.065
10705.49
recroom
4511.284
1899.958
2.37
0.018
778.9759
8243.592
fullbase
5452.386
1588.024
3.43
0.001
2332.845
8571.926
gashw
12831.41
3217.597
3.99
0.000
6510.706
19152.11
garagepl
4244.829
840.5442
5.05
0.000
2593.65
5896.008
prefarea
9369.513
1669.091
5.61
0.000
6090.724
12648.3
stories
6556.946
925.2899
7.09
0.000
4739.291
8374.6
cons
-4038.35
3409.471
-1.18
0.237
-10735.97
2659.271
b. Write one equation for auxiliary regression for testing multi-
collinearity? State
the condition
for the existence of multi-
collinearity?
c. Assuming there is no risk of hetroskedasticity answer the following
questions
i.
Interpret R2
ii.
Are all the variables jointly different from zero?
Transcribed Image Text:. reg price lotsize bedrooms bathrms airco driveway recroom fullbase gashw garagepl prefarea stories Source df MS Number of obs 546 F (11, 534) 99.97 Model 2.6158e+11 11 2.3780e+10 Prob > F 0.0000 Residual 1.2703e+11 534 237874666 R-squared 0.6731 Adj R-squared 0.6664 Total 3.8860e+11 545 713032635 Root MSE 15423 price Coef. Std. Err. P>|t]| [95% Conf. Interval] lotsize 3.546303 .3503 10.12 0.000 2.858168 4.234438 bedrooms 1832.003 1047 1.75 0.081 -224.7409 3888.748 bathrms 14335.56 1489.921 9.62 0.000 11408.73 17262.38 airco 12632.89 1555.021 8.12 0.000 9578.182 15687.6 driveway 6687.779 2045.246 3.27 0.001 2670.065 10705.49 recroom 4511.284 1899.958 2.37 0.018 778.9759 8243.592 fullbase 5452.386 1588.024 3.43 0.001 2332.845 8571.926 gashw 12831.41 3217.597 3.99 0.000 6510.706 19152.11 garagepl 4244.829 840.5442 5.05 0.000 2593.65 5896.008 prefarea 9369.513 1669.091 5.61 0.000 6090.724 12648.3 stories 6556.946 925.2899 7.09 0.000 4739.291 8374.6 cons -4038.35 3409.471 -1.18 0.237 -10735.97 2659.271 b. Write one equation for auxiliary regression for testing multi- collinearity? State the condition for the existence of multi- collinearity? c. Assuming there is no risk of hetroskedasticity answer the following questions i. Interpret R2 ii. Are all the variables jointly different from zero?
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