A doctor wanted to determine whether there is a relation betweena​ male's age and his HDL​ (so-called good) cholesterol. The doctorrandomly selected 17 of his patients and determined their HDLcholesterol. The data obtained by the doctor is the in the datatable below.

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) Draw a scatter diagram of the​ data, treating age as theexplanatory variable. What type of​ relation, if​ any, appears toexist between age and HDL​ cholesterol?

C. There does not appear to be a relation. - CorrectAnswer

​(b) Determine the​ least-squares regression equation from thesample data.

Å·=-0.129x+50.936

​ (Round to three decimal places as​ needed.)

​(c) Are there any outliers or influential​ observations?

No Your answer is correct

(d) Assuming the residuals are normally​ distributed, testwhether a linear relation exists between age and HDL cholesterollevels at the α=0.01level of significance. What are the null andalternative​ hypotheses?

C. H0​: β1=​0; H1​: β1≠0 - Correct Answer

Use technology to compute the​ P-value.

The​ P-value is 0.546

​(Round to three decimal places as​ needed.)

What conclusion can be drawn at α=0.01 level of​significance?

A. Do not reject the null hypothesis because the​P-value is greater than α=0.01. ​

(e) Assuming the residuals are normally​ distributed, constructa​ 95% confidence interval about the slope of the true​least-squares regression line.

Lower Bound -0.217

(Round to three decimal places as​ needed.)

Upper Bound - __?___

(Round to three decimal places as​ needed.)