a) Determine the value of Sxx, Syy, and Sxy. b) Determine the value of Pearson’s correlation coefficient r and the value of Spearman’s rank correlation coefficient rs.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.6: Additional Trigonometric Graphs
Problem 78E
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a) Determine the value of Sxx, Syy, and Sxy.

b) Determine the value of Pearson’s correlation coefficient r and the value of Spearman’s rank correlation coefficient rs.

III. In the following example, the n = 20 employees (who lost there jobs when their
company went bankrupt) were able to find employment within a two year period. The
table below gives their previous salary X (in 1000$) and the salary of their new
employment Y (in 1000$).
4 5
Employee
Previous Salary X (1000S)
New Salary Y (1000S)
2
3
6.
7
8
10
43.3
35.1
35.1
32.6
30.5
43.1
40.2
43
37.1
38
40.6
17.3
22
20.8
37.4
43
37.6
59.1
42.7
29.8
Employee
11
12
13
14
15
16
17
18
19
20
Previous Salary X (1000S)
New Salary Y (1000S)
39.0
22.6
19.8
43.9
45.0
32.1
55.6
27.3
45.7
56.7
50.9
37.0
23.0
23.2
46.8
33.6
49.3
34.5
46.8
58.2
Note:
n= 20, Σx 765.7, Σy-753.6, Σ-3102143, Σν-31274.42 , Σxy30180.25
Transcribed Image Text:III. In the following example, the n = 20 employees (who lost there jobs when their company went bankrupt) were able to find employment within a two year period. The table below gives their previous salary X (in 1000$) and the salary of their new employment Y (in 1000$). 4 5 Employee Previous Salary X (1000S) New Salary Y (1000S) 2 3 6. 7 8 10 43.3 35.1 35.1 32.6 30.5 43.1 40.2 43 37.1 38 40.6 17.3 22 20.8 37.4 43 37.6 59.1 42.7 29.8 Employee 11 12 13 14 15 16 17 18 19 20 Previous Salary X (1000S) New Salary Y (1000S) 39.0 22.6 19.8 43.9 45.0 32.1 55.6 27.3 45.7 56.7 50.9 37.0 23.0 23.2 46.8 33.6 49.3 34.5 46.8 58.2 Note: n= 20, Σx 765.7, Σy-753.6, Σ-3102143, Σν-31274.42 , Σxy30180.25
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ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage