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.

Age_-_x   HDL_Cholesterol_-_y
38   59
41   55
46   33
34   56
56   36
53   38
61   40
62   39
24   47
39   44
67   63
29   55
50   37
29   44
52   40
49   54
39   27

​(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?

A. The relation appears to be linear.

B. The relation appears to be nonlinear.

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.

Yes

​(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?

A. H0​: β1=​0; H1​: β1>0

B. H0​: β1=​0; H1​: β1<0

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

Use technology to compute the​ P-value.

The​ P-value is

__?__.

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

Answer 1