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  3. the accompanying data represent the total compensa

The accompanying data represent the total compensation for 12 randomly selected chief executive officers​ (CEOs) and...

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Statistics

The accompanying data represent the total compensation for 12randomly 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, usetechnology 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 normallydistributed​, test whether a linear relation exists betweencompensation and stock return at the α=0.01level ofsignificance.

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.)

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