# accompanying data represent the total compensation for 12 randomly selected chief executive officers_ (CEOs) and the_…

accompanying data represent the total compensation for 12
randomly selected chief executive officers_ (CEOs) and the_
company’s stock performance. Use the data to complete parts_ (a)
through_ (d). beta 0_0 and beta 1_1. The estimate of beta 1_1 is?
_(Round to three decimal places as_ needed.) Data Table of
Compensation and Stock Performance Company Compensation _(millions
of_ dollars) Stock Return_ (%) A 15.98 77.34 B 4.17 67.65 C 6.18
140.24 D 1.16 32.11 E 1.85 10.43 F 2.24 29.52 G 11.24 0.65 H 7.09
66.46 I 8.91 59.09 J 3.15 54.84 K 20.97 22.89 L 6.15 31.77 _(a)
Treating compensation as the explanatory_ variable, x, use
technology to determine the estimates of beta 0_0 and beta 1_1. The
estimate of beta 1_1 is _(Round to three decimal places as_
needed.) The estimate of beta 0_0 is _(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 alpha_equals= level of
significance. What are the null and alternative_ hypotheses? A.
Upper H 0H0_: beta 1_1equals=0 Upper H 1H1_: beta 1_1not equals_0
B. Upper H 0H0_: beta 0_0not equals_0 Upper H 1H1_: beta
0_0equals=0 C. Upper H 0H0_: beta 0_0equals=0 Upper H 1H1_: beta
0_0not equals_0 D. Upper H 0H0_: beta 1_1not equals_0 Upper H 1H1_:
beta 1_1equals=0 Compute the test statistic using technology.
_(Round to two decimal places as_ needed.) Compute the_ P-value
using technology.? _(Round to three decimal places as_ needed.)
State the appropriate conclusion. Choose the correct answer below.
A.Do not reject Upper H 0H0. There is sufficient evidence to
conclude that a linear relation exists between compensation and
stock return. B.Reject Upper H 0H0. There is not sufficient
evidence to conclude that a linear relation exists between
compensation and stock return. C.Reject Upper H 0H0. There is
sufficient evidence to conclude that a linear relation exists
between compensation and stock return. D.Do not reject Upper H 0H0.
There is not sufficient evidence to conclude that a linear relation
correct._(c) Assuming the residuals are normally_ distributed,
construct a 95% confidence interval for the slope of the true_
least-squares regression line. Lower bound equals= Upper bound
equals= _ (Round to two decimal places as_ needed.) _(d) Based on
your results to parts_ (b) and_ (c), would you recommend using the_
least-squares regression line to predict the stock return of a
company based on the_CEO’s compensation?_ Why? What would be a good
estimate of the stock return based on the data in the_ table? A.
Based on the results from parts_ (b) and_ (c), the regression line
should not be used to predict the stock return. The mean stock
return would be a good estimate of the stock return based on the
data in the table. Based on the results from parts_ (b), the
regression line should not be used to predict the stock return._
However, the results from part_ (c) indicate that the regression
line should be used. The results are not conclusive and further
analysis of the data is needed. C. Based on the results from parts_
(b), the regression line could be used to predict the stock
return._ However, the results from part_ (b) indicate that the
regression line should not be used. The results are not conclusive
and further analysis of the data is needed. D. The regression line
could be used to predict the stock return. The test in part_ (b)
and the confidence interval in part_ (c) both confirm that there is
a relationship between the variables.

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