Concept explainers
Burnout of human services professionals. Emotional exhaustion, or burnout. is a significant problem in the field of human services.
- a. Construct a
scatterplot for the data. Do the variables x and y appear to be related? - b. Find the
correlation coefficient for the data and interpret its value. Does your conclusion mean that concentration causes emotional exhaustion? Explain. - c. Test the usefulness of the straight-line relationship with concentration for predicting burnout. Use α = .05.
- d. Find the coefficient of determination for the model and interpret it.
Exhaustion Index, y | Concentration, x | ||||
100 | 20% | ||||
525 | 60 | ||||
300 | 38 | ||||
980 | 88 | ||||
310 | 79 | ||||
900 | 87 | ||||
410 | 68 | ||||
296 | 12 | ||||
120 | 35 | ||||
501 | 70 | ||||
920 | 80 | ||||
810 | 92 | ||||
506 | 77 | ||||
493 | 86% | ||||
892 | 83 | ||||
527 | 79 | ||||
600 | 75 | ||||
855 | 81 | ||||
709 | 75 | ||||
791 | 77 | ||||
718 | 77 | ||||
684 | 77 | ||||
141 | 17 | ||||
400 | 85 | ||||
970 | 96 |
- e. Find a 95% confidence interval for the slope β1. Interpret the result.
- f. Use a 95% confidence
interval to estimate the mean exhaustion level for all professionals who have 80% of their social contacts within their work groups. Interpret the interval
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Statistics for Business and Economics (13th Edition)
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