Consider data on every game played by the Brooklyn Nets in 2014 (82 games) that includes the variables marginį - the Net's margin of victory (number of points the Nets scored minus the number of points their opponent scored) for game i, and home; - a dummy variable equal to 1 when the Nets are the home team (game i was played in their home arena) and equal to 0 when they are the away team (game i was played in the opponent's arena). I use the least-squares method to estimate the following regression model margin = a + ßhome; + ei Below is the Stata output corresponding to the estimated regression line:

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter2: Mathematics For Microeconomics
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Problem 2.16P
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Consider data on every game played by the Brooklyn Nets in 2014 (82 games) that includes the
variables
●
marginį - the Net's margin of victory (number of points the Nets scored minus the number of
points their opponent scored) for game i, and
home; - a dummy variable equal to 1 when the Nets are the home team (game i was played in
their home arena) and equal to O when they are the away team (game i was played in the
opponent's arena).
I use the least-squares method to estimate the following regression model
margin, = a + ßhome; + ei
Below is the Stata output corresponding to the estimated regression line:
. regress margin home if team ==== "Brooklyn Nets".
Source
Model
Residual
Total
margin
home
__cons
SS
1459.95122
15252.0488
16712
df
1
80
Coef. Std. Err.
MS
81 206.320988
8.439024 3.049595
-5.219512 2.156389
1459.95122
190.65061
t
Number of obs
F(1, 80)
Prob > F
R-squared
P>|t|
2.77 0.007
-2.42 0.018
=
Adj R-squared =
Root MSE
=
2.370137
-9.510864
=
82
7.66
0.0070
0.0874
0.0760
13.808
[95% Conf. Interval]
14.50791
-.9281607
This output tells us the regression line equation is: margin: -5.2 + 8.4home.
What was the Nets' average margin of victory for games in 2014 when they were the home team?
(round to 2 decimal places)
Transcribed Image Text:Consider data on every game played by the Brooklyn Nets in 2014 (82 games) that includes the variables ● marginį - the Net's margin of victory (number of points the Nets scored minus the number of points their opponent scored) for game i, and home; - a dummy variable equal to 1 when the Nets are the home team (game i was played in their home arena) and equal to O when they are the away team (game i was played in the opponent's arena). I use the least-squares method to estimate the following regression model margin, = a + ßhome; + ei Below is the Stata output corresponding to the estimated regression line: . regress margin home if team ==== "Brooklyn Nets". Source Model Residual Total margin home __cons SS 1459.95122 15252.0488 16712 df 1 80 Coef. Std. Err. MS 81 206.320988 8.439024 3.049595 -5.219512 2.156389 1459.95122 190.65061 t Number of obs F(1, 80) Prob > F R-squared P>|t| 2.77 0.007 -2.42 0.018 = Adj R-squared = Root MSE = 2.370137 -9.510864 = 82 7.66 0.0070 0.0874 0.0760 13.808 [95% Conf. Interval] 14.50791 -.9281607 This output tells us the regression line equation is: margin: -5.2 + 8.4home. What was the Nets' average margin of victory for games in 2014 when they were the home team? (round to 2 decimal places)
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