A study was carried out into the attendance rate at a hospital of people in 16 different geographical areas, over a fixed period of time. The distance of the centre from the hospital of each are was measured in miles. The results were as follows:
|
Geographical area
|
Attendance rate (%)
|
Distance (miles)
|
|
1
|
21
|
6.8
|
|
2
|
12
|
10.3
|
|
3
|
30
|
1.7
|
|
4
|
8
|
14.2
|
|
5
|
10
|
8.8
|
|
6
|
26
|
5.8
|
|
7
|
42
|
2.1
|
|
8
|
31
|
3.3
|
|
9
|
21
|
4.3
|
|
10
|
15
|
9
|
|
11
|
19
|
3.2
|
|
12
|
6
|
12.7
|
|
13
|
18
|
8.2
|
|
14
|
12
|
7
|
|
15
|
23
|
5.1
|
|
16
|
34
|
4.1
|
Draw a scatter diagram to show the association, if any, between the attendance rate and the distance of the centre from the hospital. Interpret the scatter diagram.Find Pearson's correlation coefficient, and Spearman's rho rank correlation coefficients and then Test the significance of the correlation coefficient at alpha .05.Find Spearman's rho rank correlation coefficients and then Test the significance of the correlation coefficient at alpha .05.Which correlation coefficient Pearson's correlation or spearman rank correlation is the best describe the relationship between the two variables?