In: Statistics and Probability
Use the data in CEOSAL for this exercise.
Consider an equation to explain salaries of CEOs...
- Use the data in CEOSAL for this exercise.
Consider an equation to explain salaries of CEOs in terms of annual
firm sales, return on equity (roe, in percentage form),
and return on the firm’s stock (ros, in percentage form).
Answer questions after estimating the equation
log(salary)=β0+β1log(sales)+β2roe+β3ros+u.
- (3 points) By what percentage is salary predicted to
increase if ros increases by 50 points? Does ros
have a practically large effect on salary?
- (3 points) Test the null hypothesis that ros has no
effect on salary against the alternative that ros
has a positive effect. Carry out the test at the 10% significance
level.
- (2 points) Would you include ros in a final model explaining
CEO compensation in terms of firm performance? Explain.
salary |
sales |
roe |
ros |
1095 |
27595 |
14.1 |
191 |
1001 |
9958 |
10.9 |
13 |
1122 |
6125.9 |
23.5 |
14 |
578 |
16246 |
5.9 |
-21 |
1368 |
21783.2 |
13.8 |
56 |
1145 |
6021.4 |
20 |
55 |
1078 |
2266.7 |
16.4 |
62 |
1094 |
2966.8 |
16.3 |
44 |
1237 |
4570.2 |
10.5 |
37 |
833 |
2830 |
26.3 |
37 |
567 |
596.8 |
25.9 |
109 |
933 |
19773 |
26.8 |
-10 |
1339 |
40047 |
14.8 |
41 |
937 |
2513.8 |
22.3 |
44 |
2011 |
1580.6 |
56.3 |
63 |
1585 |
6754 |
12.6 |
17 |
905 |
1066.3 |
20.4 |
141 |
1058 |
3199.9 |
1.9 |
-15 |
922 |
1452.7 |
19.9 |
56 |
1220 |
8995 |
15.4 |
28 |
1022 |
1212.3 |
38.7 |
83 |
759 |
2824.2 |
16.4 |
21 |
1414 |
7621 |
24.4 |
-10 |
1041 |
4418.3 |
15.6 |
74 |
1688 |
12343 |
14.4 |
15 |