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 away tea (i.e. when home=0)? (round to 2 decimal places)

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Consider data on every game played by the Brooklyn Nets in 2014 (82 games) that includes the
variables
margin; - 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:
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.
Adj R-squared =
Root MSE
P>|t|
2.77 0.007
-2.42 0.018
82
7.66
0.0070
0.0874
0.0760
13.808
[95% Conf. Interval]
2.370137
-9.510864
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 away team
(i.e. when home=0)? (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 margin; - 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: 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. Adj R-squared = Root MSE P>|t| 2.77 0.007 -2.42 0.018 82 7.66 0.0070 0.0874 0.0760 13.808 [95% Conf. Interval] 2.370137 -9.510864 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 away team (i.e. when home=0)? (round to 2 decimal places)
Expert Solution
Step 1

The regression equation for predicting Nets' margin of victory on the basis of whether they were home tean or away team is given by

margin = -5.219512 + 8.439024 home

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