Question

In: Statistics and Probability

Call Center Shift A Average Call Time Shift B Average Call Time Average Satisfaction Level Average...

Call Center Shift A Average Call Time Shift B Average Call Time Average Satisfaction Level Average Number of Employees
1 14 29 2 100
2 1 1 1 90
3 53 60 4 80
4 10 25 2 54
5 85 71 4 69
6 18 33 2 54
7 24 40 2 42
8 58 65 4 67
9 33 46 3 30
10 9 19 1 48
  1. Use the z-score to determine which call centers, if any, should be considered outliers in each of the four variables. If there are any outliers in any category, please list them and state for which category they are an outlier.
  2. Compute the sample correlation coefficient, showing the relationship between Satisfaction Level and each of the other three variables (Shift A Average Call time, Shift B Average Call Time, Average Number of Employees). Explain what the correlation coefficients tell us about the three pairs of relationships. Use tables, charts, or graphs to support your conclusions.

Solutions

Expert Solution

Variable - 1 - Shift A Average Call Time -

Variable - 2 - Shift B Average Call Time

Variable - 3 - Average Satisfaction Level

Variable - 4 - Average Number of Employees

Correlation -

v1 v2 v3 v4
v1 1.0000000 0.9450615 0.92357894 0.01621190
v2 0.9450615 1.0000000 0.95661216 -0.11801005
v3 0.9235789 0.9566122 1.00000000 0.03000398
v4 0.0162119 -0.1180101 0.03000398 1.00000000

These are correlations between varibales


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