Question

A doctor wanted to determine whether there is a relation between a​ male's age and his HDL​ (so-called good) cholesterol. The doctor randomly selected 17 of his patients and determined their HDL cholesterol. The data obtained by the doctor is the in the data table 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 the explanatory variable. What type of​ relation, if​ any, appears to exist between age and HDL​ cholesterol?

C. There does not appear to be a relation. - Correct Answer

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

ŷ=-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, test whether a linear relation exists between age and HDL cholesterol levels at the α=0.01level of significance. What are the null and alternative​ 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, construct a​ 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.)

Answer 1

from above

p value =0.919

lower bound= -4.834

upper bound =4.401