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
AÂ Â 14.98Â Â 74.48
BÂ Â 4.61Â Â 63.62
CÂ Â 6.15Â Â 148.21
DÂ Â 1.11Â Â 30.35
EÂ Â 1.54Â Â 11.94
FÂ Â 3.28Â Â 29.09
GÂ Â 11.06Â Â 0.64
HÂ Â 7.77Â Â 64.16
IÂ Â 8.23Â Â 50.41
JÂ Â 4.47Â Â 53.19
KÂ Â 21.39Â Â 21.94
LÂ Â 5.23Â Â 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.)
