What is the correlation coefficient?

Scenario 3.
An insurance company is interested in determining if the severity of a burn increases the length of hospitalization for burn patients. Their data is summarized in the table below.

Patient #	Burn Severity (Percent of body burnt x the degree of burn)	Burn Rank	Length of Hospital Stay (hours)	Hospital Stay Rank
1	1.33	1	74.1	2
2	1.25	2	74.2	1
3	1.22	3	73.5	3
4	1.11	4	72.5	4
5	1.1	5	72.1	5
6	0.99	6	58	6
7	0.95	7	56	7
8	0.88	8	48	8
9	0.8	9	38.1	9
10	0.7	10	32.2	10
11	0.56	11	28.2	11
12	0.4	12	25	12
13	0.35	13	24.5	13
14	0.32	14	24.6	14
15	0.3	15	24	15

• What statistical test would be appropriate to establish a relationship between burn severity [Burn degree (1^stdegree, 2^nd degree, and 3^rd degree) x percent of body burned] and the duration of hospitalization expressed by the number of days?

A     Pearson Product-Moment Correlation coefficient

B     Multiple Regression

C     ANOVA

D     Spearman Rank Correlation coefficient.
Answer:  ___________

• What is the correlation coefficient?
  Answer: ____________
  Please paste your data output file in the space below.

• Is the correlation positive or negative?
  Answer: ___________