Stigler and Friedland (1983) conducted a study to determine whether the separation of company control from company ownership affects company profits. Using data from 69 companies in the United States, the authors estimate the following model:   profiti = α + β1asseti

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
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ISBN:9780547587776
Author:HOLT MCDOUGAL
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Chapter11: Data Analysis And Probability
Section11.1: Stem-and-leaf Plots And Histograms
Problem 2E
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Heteroscedasticity
 
Stigler and Friedland (1983) conducted a study to determine whether the separation of company control from company ownership affects company profits. Using data from 69 companies in the United States, the authors estimate the following model:
 
profiti = α + β1asseti + β2management_controli + ei
Where i is company and:
profiti = annual profit (in million dollar)
asseti = company asset (in million dollar)
management_controli = dummy variable that is worth one if the control of the company is held by the manager
 
The regression results are presented in the table in the picture
 
a. Explain whether the statements below are TRUE, FALSE, or CANNOT BE DETERMINED. "If there is a heteroscedasticity problem, the confidence interval of the OLS estimator is not valid."
b. Determine the 95% confidence interval for the parameter 2, what can you conclude?
Source |
df
MS
Number of obs =
69
F( 2,
66)
13.49
Model |
6843.42169
2 3421.71085
Prob > F
0.0000
Residual |
16735.2881
66 253.564972
= 0.2902
R-squared
Adj R-squared = 0.2687
Total | 23578.7098
68 346.745733
Root MSE
= 15.924
profits |
Coef.
Std. Err.
t
P>|t|
[95% Conf. Interval]
assets |
.0274626
.0055847
4.92
0.000
.0163124
.0386128
mcontrol |
-6.186284
3.844436
-1.61
0.112
cons |
8.087969
3.053642
2.65
0.010
1.991175
14.18476
Transcribed Image Text:Source | df MS Number of obs = 69 F( 2, 66) 13.49 Model | 6843.42169 2 3421.71085 Prob > F 0.0000 Residual | 16735.2881 66 253.564972 = 0.2902 R-squared Adj R-squared = 0.2687 Total | 23578.7098 68 346.745733 Root MSE = 15.924 profits | Coef. Std. Err. t P>|t| [95% Conf. Interval] assets | .0274626 .0055847 4.92 0.000 .0163124 .0386128 mcontrol | -6.186284 3.844436 -1.61 0.112 cons | 8.087969 3.053642 2.65 0.010 1.991175 14.18476
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