Use the following data on length of service in days (X) and cost per day in dollars (Y) for 10 patients on a home health care program.
|
Patient Number
|
Length of Service, X
|
Cost per Day, Y
|
|
1
|
310
|
35.00
|
|
2
|
89
|
34.60
|
|
3
|
22
|
102.60
|
|
4
|
9
|
136.20
|
|
5
|
120
|
69.50
|
|
6
|
99
|
79.60
|
|
7
|
63
|
140.20
|
|
8
|
170
|
45.40
|
|
9
|
20
|
81.3
|
|
10
|
198
|
29.50
|
(a) State which model the data follow and plot the scatter diagram.
(b) Do you expect the r to be positive or negative from looking at the scatter diagram? Should b be positive or negative?
(c) Give a 95% confidence interval for p.
(d) Test the Ho : p = 0 and H0 : β = 0. Did you get the same P value?