In: Statistics and Probability
The accompanying data represent the total compensation for 12 randomly selected chief executive officers (CEOs) and the company's stock performance.
Company Compensation Return
A 14.98 74.48
B 4.61 63.62
C 6.15 148.21
D 1.11 30.35
E 1.54 11.94
F 3.28 29.09
G 11.06 0.64
H 7.77 64.16
I 8.23 50.41
J 4.47 53.19
K 21.39 21.94
L 5.23 33.68
(a) Treating compensation as the explanatory variable, x, use technology to determine the estimates of β0 and β1.
The estimate of β1 is −0.217.
(Round to three decimal places as needed.)
The estimate of beta 0β0 is 50.1
(Round to one decimal place as needed.)
(b) Assuming that the residuals are normally distributed, test whether a linear relation exists between compensation and stock return at the α=0.01level of significance.
What are the null and alternative hypotheses?
B.
H0: β1=0
H1: β1≠0
Your answer is correct.
Compute the test statistic using technology.
__?__
(Round to two decimal places as needed.)